CN118750019A - A dual-energy correction method and system based on bone sclerosis model - Google Patents
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Abstract
本发明公开了一种基于骨硬化模型的双能校正方法及系统包括,通过调整采集设备中X射线的脉冲频率分别对软组织和骨组织的坐标形式进行X射线照射,能够更全面地反映软组织和骨组织的特性,提高图像的采样精度;通过骨矿物质密度值、皮质骨的矿物质密度、骨小梁的平均厚度以及皮质骨的平均厚度,设计权重函数,使得重建的骨硬化模型更为精确;通过伪影识别结果对重建模型中的参数进行迭代调整,实现了动态校正,提高了校正后的图像质量;将校正后的图像与实际骨骼图像进行对比,并在虚拟现实环境中对模型进行三维展示,根据用户选择感兴趣的模型对比结果并生成报告,形成个性化的展示结果,提高了用户的体验度。
The present invention discloses a dual-energy correction method and system based on a bone sclerosis model, comprising: adjusting the pulse frequency of X-rays in an acquisition device to irradiate the coordinate forms of soft tissue and bone tissue with X-rays respectively, so as to more comprehensively reflect the characteristics of soft tissue and bone tissue and improve the sampling accuracy of the image; designing a weight function through the value of bone mineral density, the mineral density of cortical bone, the average thickness of trabeculae and the average thickness of cortical bone, so as to make the reconstructed bone sclerosis model more accurate; iteratively adjusting the parameters in the reconstructed model through the artifact recognition result, realizing dynamic correction and improving the quality of the corrected image; comparing the corrected image with the actual bone image, and displaying the model in three dimensions in a virtual reality environment; generating a report based on the comparison result of the model of interest selected by the user, forming a personalized display result and improving the user experience.
Description
技术领域Technical Field
本发明涉及图像与模型处理技术领域,尤其涉及一种基于骨硬化模型的双能校正方法及系统。The present invention relates to the technical field of image and model processing, and in particular to a dual-energy correction method and system based on a bone sclerosis model.
背景技术Background Art
X射线成像技术自发现以来,一直在医学影像领域中扮演着重要角色。传统的X射线成像技术主要依赖于单能量X射线,这种方法在软组织和骨组织的区分上存在一定的局限性。随着技术的进步,双能量X射线成像技术应运而生,通过在不同能量水平下采集图像,能够更好地区分软组织和骨组织,提高了成像的对比度和诊断的准确性。然而,尽管双能量X射线成像技术在一定程度上改善了图像质量,但在实际应用中仍然存在一些问题,例如硬化效应伪影的出现,这些伪影会影响图像的准确性,进而影响诊断结果。因此,如何有效地校正这些伪影,提高图像质量,成为了当前研究的热点之一。Since its discovery, X-ray imaging technology has played an important role in the field of medical imaging. Traditional X-ray imaging technology mainly relies on single-energy X-rays, which has certain limitations in distinguishing soft tissue from bone tissue. With the advancement of technology, dual-energy X-ray imaging technology has emerged. By acquiring images at different energy levels, it can better distinguish soft tissue from bone tissue, improve imaging contrast and diagnostic accuracy. However, although dual-energy X-ray imaging technology has improved image quality to a certain extent, there are still some problems in practical applications, such as the appearance of hardening effect artifacts, which will affect the accuracy of the image and thus affect the diagnostic results. Therefore, how to effectively correct these artifacts and improve image quality has become one of the current research hotspots.
在目前的研究和文献中,通常采用简单的或者复杂的图像处理算法对硬化效应伪影进行校正,但这些方法往往对骨骼密度和结构的依赖性较高,缺乏对骨硬化效应的深度理解和建模,导致校正效果不理想。且存在以下几个方面的不足:第一,单一频率的X射线图像采样无法充分反映软组织和骨组织的复杂特性,难以有效区分和校正硬化效应引起的伪影;第二,传统的重建权重调整方法缺乏对骨骼密度和结构特征的综合考虑,导致校正过程中参数调整的精确性不足;第三,现有的伪影识别和校正方法多为静态处理,缺乏动态迭代调整的机制,导致校正效果不够理想。In current research and literature, simple or complex image processing algorithms are usually used to correct hardening effect artifacts, but these methods are often highly dependent on bone density and structure, lack a deep understanding and modeling of bone hardening effects, resulting in unsatisfactory correction effects. There are also several deficiencies: First, single-frequency X-ray image sampling cannot fully reflect the complex characteristics of soft tissue and bone tissue, and it is difficult to effectively distinguish and correct artifacts caused by hardening effects; second, the traditional reconstruction weight adjustment method lacks comprehensive consideration of bone density and structural characteristics, resulting in insufficient accuracy of parameter adjustment during the correction process; third, the existing artifact recognition and correction methods are mostly static processing, lacking a dynamic iterative adjustment mechanism, resulting in unsatisfactory correction effects.
发明内容Summary of the invention
本部分的目的在于概述本发明的实施例的一些方面以及简要介绍一些较佳实施例。在本部分以及本申请的说明书摘要和发明名称中可能会做些简化或省略以避免使本部分、说明书摘要和发明名称的目的模糊,而这种简化或省略不能用于限制本发明的范围。The purpose of this section is to summarize some aspects of embodiments of the present invention and briefly introduce some preferred embodiments. Some simplifications or omissions may be made in this section and the specification abstract and the invention title of this application to avoid blurring the purpose of this section, the specification abstract and the invention title, and such simplifications or omissions cannot be used to limit the scope of the present invention.
鉴于上述现有存在的问题,提出了本发明。因此,本发明提供了一种基于骨硬化模型的双能校正方法,用来解决背景技术中提到的问题。In view of the above existing problems, the present invention is proposed. Therefore, the present invention provides a dual-energy correction method based on a bone sclerosis model to solve the problems mentioned in the background technology.
为解决上述技术问题,本发明提供如下技术方案:In order to solve the above technical problems, the present invention provides the following technical solutions:
第一方面,本发明提供了一种基于骨硬化模型的双能校正方法,包括:In a first aspect, the present invention provides a dual-energy correction method based on a bone sclerosis model, comprising:
通过多频率采样技术在软组织成像能量范围和骨组织成像能量范围内获取多个频率的X射线图像;Acquire X-ray images with multiple frequencies within the soft tissue imaging energy range and the bone tissue imaging energy range through multi-frequency sampling technology;
利用骨骼的密度和结构特征,调整图像中的重建权重,进行骨硬化模型重建,并根据重建的骨硬化模型,对图像中硬化效应引起的伪影进行识别;Using the density and structural characteristics of bones, the reconstruction weights in the image are adjusted to reconstruct the bone sclerosis model, and the artifacts caused by the sclerosis effect in the image are identified based on the reconstructed bone sclerosis model;
根据伪影的识别结果,对重建模型中的参数进行迭代调整,输出校正后的图像,将校正后的图像与实际骨骼图像进行对比。According to the identification results of the artifacts, the parameters in the reconstruction model are iteratively adjusted, and the corrected image is output, which is then compared with the actual bone image.
作为本发明所述的基于骨硬化模型的双能校正方法的一种优选方案,其中:通过多频率采样技术在软组织成像能量范围和骨组织成像能量范围内获取多个频率的X射线图像,包括:As a preferred solution of the dual-energy correction method based on the bone sclerosis model described in the present invention, wherein: X-ray images of multiple frequencies are acquired within the soft tissue imaging energy range and the bone tissue imaging energy range by multi-frequency sampling technology, including:
确定采集设备中软组织成像能量范围和骨组织成像能量范围;Determine the soft tissue imaging energy range and the bone tissue imaging energy range in the acquisition device;
将待成像的软组织和骨组织以若干坐标形式表示在采集设备中;The soft tissue and bone tissue to be imaged are represented in the acquisition device in the form of a number of coordinates;
调整采集设备中X射线的脉冲频率分别对软组织和骨组织的坐标形式进行X射线照射,得到多组软组织成像的X射线图像和多组骨组织成像的X射线图像。The pulse frequency of X-rays in the acquisition device is adjusted to irradiate the coordinate forms of soft tissue and bone tissue with X-rays respectively, so as to obtain multiple groups of X-ray images of soft tissue imaging and multiple groups of X-ray images of bone tissue imaging.
作为本发明所述的基于骨硬化模型的双能校正方法的一种优选方案,其中:利用骨骼的密度和结构特征,调整图像中的重建权重,进行骨硬化模型重建,包括:As a preferred solution of the dual-energy correction method based on the bone sclerosis model described in the present invention, wherein: using the density and structural characteristics of the bone, adjusting the reconstruction weight in the image, and reconstructing the bone sclerosis model, including:
通过双能X射线吸收测量公式,计算出多组软组织成像的X射线图像和多组骨组织成像的X射线图像中像素点的骨矿物质密度值与皮质骨的矿物质密度;The bone mineral density values and the mineral density of the cortical bone of the pixel points in the multiple sets of soft tissue imaging X-ray images and the multiple sets of bone tissue imaging X-ray images are calculated by the dual-energy X-ray absorption measurement formula;
通过骨小梁分割算法,得到骨小梁的平均厚度;The average thickness of trabecular bone was obtained through the trabecular bone segmentation algorithm;
通过皮质骨分割算法,得到皮质骨的平均厚度。The average thickness of the cortical bone is obtained through the cortical bone segmentation algorithm.
作为本发明所述的基于骨硬化模型的双能校正方法的一种优选方案,其中:还包括:As a preferred embodiment of the dual-energy correction method based on the bone sclerosis model described in the present invention, it also includes:
通过骨矿物质密度值、皮质骨的矿物质密度、骨小梁的平均厚度以及皮质骨的平均厚度,设计权重函数;A weighting function is designed by using the bone mineral density value, the mineral density of the cortical bone, the average thickness of the trabecular bone, and the average thickness of the cortical bone;
根据所述权重函数,对骨硬化模型进行重建。The bone sclerosis model is reconstructed according to the weight function.
作为本发明所述的基于骨硬化模型的双能校正方法的一种优选方案,其中:根据重建的骨硬化模型,对图像中硬化效应引起的伪影进行识别,包括:As a preferred embodiment of the dual-energy correction method based on the bone sclerosis model of the present invention, the artifacts caused by the sclerosis effect in the image are identified according to the reconstructed bone sclerosis model, including:
引入复合梯度算子,计算图像硬化效应带来的梯度;The composite gradient operator is introduced to calculate the gradient caused by the image hardening effect;
对所述梯度的幅度值和方向进行计算;Calculating the magnitude and direction of the gradient;
将计算得到的幅度值进行非极大值抑制,同时基于计算得到的幅度值,调整图像高低阈值;The calculated amplitude value is subjected to non-maximum suppression, and the high and low thresholds of the image are adjusted based on the calculated amplitude value;
将调整的图像高低阈值进行边缘连接,提取伪影特征;Connect the edges of the adjusted image high and low thresholds to extract artifact features;
根据伪影特征与骨硬化模型的匹配结果,标记伪影区域。According to the matching results between the artifact features and the bone sclerosis model, the artifact area is marked.
作为本发明所述的基于骨硬化模型的双能校正方法的一种优选方案,其中:根据伪影的识别结果,对重建模型中的参数进行迭代调整,输出校正后的图像,包括:As a preferred solution of the dual-energy correction method based on the bone sclerosis model described in the present invention, the following method is used: according to the recognition result of the artifact, the parameters in the reconstruction model are iteratively adjusted to output the corrected image, including:
定义误差函数,计算图像中的伪影与预想伪影的差值;Define an error function to calculate the difference between the artifact in the image and the expected artifact;
通过所述差值,对骨硬化模型中的参数进行更新;Using the difference, updating the parameters in the bone sclerosis model;
计算误差函数与参数的梯度;Calculate the gradient of the error function with respect to the parameters;
根据更新后的参数,对图像进行校正;Correct the image according to the updated parameters;
重复以上步骤,直到误差函数达到模型的最大迭代次数,输出校正后的图像。Repeat the above steps until the error function reaches the maximum number of iterations of the model and output the corrected image.
作为本发明所述的基于骨硬化模型的双能校正方法的一种优选方案,其中:将校正后的图像与实际骨骼图像进行对比,包括:As a preferred solution of the dual-energy correction method based on the bone sclerosis model described in the present invention, the corrected image is compared with the actual bone image, including:
将校正后的图像转换为三维模型,在虚拟现实环境中对所述三维模型进行展示,根据用户选择感兴趣的对比结果并生成报告;Converting the corrected image into a three-dimensional model, displaying the three-dimensional model in a virtual reality environment, and generating a report based on the comparison results of interest selected by the user;
所述报告中包括,差异图、分析数据和三维模型截图。The report includes difference maps, analysis data and 3D model screenshots.
第二方面,本发明提供了基于骨硬化模型的双能校正系统,其包括:In a second aspect, the present invention provides a dual-energy correction system based on a bone sclerosis model, comprising:
多频率图像获取模块,被配置为通过多频率采样技术在软组织成像能量范围和骨组织成像能量范围内获取多个频率的X射线图像;A multi-frequency image acquisition module is configured to acquire X-ray images of multiple frequencies within a soft tissue imaging energy range and a bone tissue imaging energy range through a multi-frequency sampling technique;
骨硬化模型重建与伪影识别模块,被配置为利用骨骼的密度和结构特征,调整图像中的重建权重,进行骨硬化模型重建,并根据重建的骨硬化模型,对图像中硬化效应引起的伪影进行识别;The bone sclerosis model reconstruction and artifact recognition module is configured to adjust the reconstruction weight in the image using the density and structural characteristics of the bone, reconstruct the bone sclerosis model, and recognize artifacts caused by the sclerosis effect in the image based on the reconstructed bone sclerosis model;
适应性模型参数调整与可视化输出模块,被配置为根据伪影的识别结果,对重建模型中的参数进行迭代调整,输出校正后的图像,将校正后的图像与实际骨骼图像进行对比。The adaptive model parameter adjustment and visualization output module is configured to iteratively adjust the parameters in the reconstruction model according to the recognition result of the artifact, output the corrected image, and compare the corrected image with the actual bone image.
第三方面,本发明提供了一种计算机设备,包括存储器和处理器,所述存储器存储有计算机程序,其中:所述处理器执行所述计算机程序时实现上述方法的任一步骤。In a third aspect, the present invention provides a computer device, comprising a memory and a processor, wherein the memory stores a computer program, wherein: the processor implements any step of the above method when executing the computer program.
第四方面,本发明提供了一种计算机可读存储介质,其上存储有计算机程序,其中:所述计算机程序被处理器执行时实现上述方法的任一步骤。In a fourth aspect, the present invention provides a computer-readable storage medium having a computer program stored thereon, wherein: the computer program implements any step of the above method when executed by a processor.
与现有技术相比,发明有益效果为:本发明通过调整采集设备中X射线的脉冲频率分别对软组织和骨组织的坐标形式进行X射线照射,能够更全面地反映软组织和骨组织的特性,提高图像的采样精度;通过骨矿物质密度值、皮质骨的矿物质密度、骨小梁的平均厚度以及皮质骨的平均厚度,设计权重函数,使得重建的骨硬化模型更为精确;通过伪影识别结果对重建模型中的参数进行迭代调整,实现了动态校正,提高了校正后的图像质量;将校正后的图像与实际骨骼图像进行对比,并在虚拟现实环境中对模型进行三维展示,根据用户选择感兴趣的模型对比结果并生成报告,形成个性化的展示结果,提高了用户的体验度。Compared with the prior art, the beneficial effects of the invention are as follows: the present invention adjusts the pulse frequency of X-rays in the acquisition device to perform X-ray irradiation on the coordinate forms of soft tissue and bone tissue respectively, which can more comprehensively reflect the characteristics of soft tissue and bone tissue and improve the sampling accuracy of the image; a weight function is designed through the bone mineral density value, the mineral density of cortical bone, the average thickness of trabeculae and the average thickness of cortical bone, so that the reconstructed bone sclerosis model is more accurate; the parameters in the reconstructed model are iteratively adjusted through the artifact recognition results, dynamic correction is achieved, and the quality of the corrected image is improved; the corrected image is compared with the actual bone image, and the model is displayed in three dimensions in a virtual reality environment, and the comparison results of the model of interest selected by the user are generated and a report is formed to form a personalized display result, thereby improving the user experience.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
为了更清楚地说明本发明实施例的技术方案,下面将对实施例描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其它的附图。其中:In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the following briefly introduces the drawings required for describing the embodiments. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work. Among them:
图1为本发明一个实施例所述的基于骨硬化模型的双能校正方法的总体流程图;FIG1 is an overall flow chart of a dual-energy correction method based on a bone sclerosis model according to an embodiment of the present invention;
图2为本发明一个实施例所述的基于骨硬化模型的双能校正方法的迭代调整过程图;FIG2 is a diagram of an iterative adjustment process of a dual-energy correction method based on a bone sclerosis model according to an embodiment of the present invention;
图3为本发明一个实施例所述的基于骨硬化模型的双能校正方法的实验参数对比图;FIG3 is a comparison diagram of experimental parameters of a dual-energy correction method based on a bone sclerosis model according to an embodiment of the present invention;
图4为本发明一个实施例所述的基于骨硬化模型的双能校正方法的SSIM和MSE对比图。FIG. 4 is a comparison diagram of SSIM and MSE of a dual-energy correction method based on a bone sclerosis model according to an embodiment of the present invention.
具体实施方式DETAILED DESCRIPTION
为使本发明的上述目的、特征和优点能够更加明显易懂,下面结合说明书附图对本发明的具体实施方式做详细的说明,显然所描述的实施例是本发明的一部分实施例,而不是全部实施例。基于本发明中的实施例,本领域普通人员在没有做出创造性劳动前提下所获得的所有其他实施例,都应当属于本发明的保护的范围。In order to make the above-mentioned purposes, features and advantages of the present invention more obvious and easy to understand, the specific implementation methods of the present invention are described in detail below in conjunction with the drawings of the specification. Obviously, the described embodiments are part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary persons in the art without creative work should fall within the scope of protection of the present invention.
在下面的描述中阐述了很多具体细节以便于充分理解本发明,但是本发明还可以采用其他不同于在此描述的其它方式来实施,本领域技术人员可以在不违背本发明内涵的情况下做类似推广,因此本发明不受下面公开的具体实施例的限制。In the following description, many specific details are set forth to facilitate a full understanding of the present invention, but the present invention may also be implemented in other ways different from those described herein, and those skilled in the art may make similar generalizations without violating the connotation of the present invention. Therefore, the present invention is not limited to the specific embodiments disclosed below.
其次,此处所称的“一个实施例”或“实施例”是指可包含于本发明至少一个实现方式中的特定特征、结构或特性。在本说明书中不同地方出现的“在一个实施例中”并非均指同一个实施例,也不是单独的或选择性的与其他实施例互相排斥的实施例。Secondly, the term "one embodiment" or "embodiment" as used herein refers to a specific feature, structure, or characteristic that may be included in at least one implementation of the present invention. The term "in one embodiment" that appears in different places in this specification does not necessarily refer to the same embodiment, nor does it refer to a separate or selective embodiment that is mutually exclusive with other embodiments.
本发明结合示意图进行详细描述,在详述本发明实施例时,为便于说明,表示器件结构的剖面图会不依一般比例作局部放大,而且所述示意图只是示例,其在此不应限制本发明保护的范围。此外,在实际制作中应包含长度、宽度及深度的三维空间尺寸。The present invention is described in detail with reference to schematic diagrams. When describing the embodiments of the present invention, for the sake of convenience, the cross-sectional diagrams showing the device structure will not be partially enlarged according to the general scale, and the schematic diagrams are only examples, which should not limit the scope of protection of the present invention. In addition, in actual production, the three-dimensional dimensions of length, width and depth should be included.
同时在本发明的描述中,需要说明的是,术语中的“上、下、内和外”等指示的方位或位置关系为基于附图所示的方位或位置关系,仅是为了便于描述本发明和简化描述,而不是指示或暗示所指的装置或元件必须具有特定的方位、以特定的方位构造和操作,因此不能理解为对本发明的限制。此外,术语“第一、第二或第三”仅用于描述目的,而不能理解为指示或暗示相对重要性。At the same time, in the description of the present invention, it should be noted that the directions or positional relationships indicated by the terms "upper, lower, inner and outer" are based on the directions or positional relationships shown in the drawings, and are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific direction, be constructed and operated in a specific direction, and therefore cannot be understood as limiting the present invention. In addition, the terms "first, second or third" are only used for descriptive purposes and cannot be understood as indicating or implying relative importance.
本发明中除非另有明确的规定和限定,术语“安装、相连、连接”应做广义理解,例如:可以是固定连接、可拆卸连接或一体式连接;同样可以是机械连接、电连接或直接连接,也可以通过中间媒介间接相连,也可以是两个元件内部的连通。对于本领域的普通技术人员而言,可以具体情况理解上述术语在本发明中的具体含义。In the present invention, unless otherwise clearly specified and limited, the terms "install, connect, connect" should be understood in a broad sense, for example: it can be a fixed connection, a detachable connection or an integral connection; it can also be a mechanical connection, an electrical connection or a direct connection, or it can be indirectly connected through an intermediate medium, or it can be the internal communication of two components. For ordinary technicians in this field, the specific meanings of the above terms in the present invention can be understood according to specific circumstances.
实施例1Example 1
参照图1,为本发明第一个实施例,该实施例提供了一种基于骨硬化模型的双能校正方法,包括:1 is a first embodiment of the present invention, which provides a dual-energy correction method based on a bone sclerosis model, including:
S1、通过多频率采样技术在软组织成像能量范围和骨组织成像能量范围内获取多个频率的X射线图像;S1. Acquire X-ray images of multiple frequencies within the soft tissue imaging energy range and the bone tissue imaging energy range by using multi-frequency sampling technology;
进一步的,确定采集设备中软组织成像能量范围和骨组织成像能量范围;Further, determining the soft tissue imaging energy range and the bone tissue imaging energy range in the acquisition device;
具体的,设软组织成像能量范围为:Es=[Es_min,Es_max];设骨组织成像能量范围为:Eb=[Eb_min,Eb_max];Specifically, the soft tissue imaging energy range is assumed to be: Es = [ Es_min , Es_max ]; the bone tissue imaging energy range is assumed to be: Eb = [ Eb_min , Eb_max ];
更进一步的,将待成像的软组织和骨组织以若干坐标形式表示在采集设备中;Furthermore, the soft tissue and bone tissue to be imaged are represented in the acquisition device in the form of a number of coordinates;
具体的,在采集设备中的坐标形式为:(xi,yi,zi);Specifically, the coordinate format in the acquisition device is: (x i , y i , z i );
应当说明的是,成像能量范围和坐标表示决定了X射线的采集范围和脉冲频率;It should be noted that the imaging energy range and coordinate representation determine the X-ray acquisition range and pulse frequency;
更进一步的,调整采集设备中X射线的脉冲频率分别对软组织和骨组织的坐标形式进行X射线照射,得到多组软组织成像的X射线图像和多组骨组织成像的X射线图像;Furthermore, the pulse frequency of the X-ray in the acquisition device is adjusted to irradiate the coordinate forms of the soft tissue and the bone tissue with X-rays respectively, so as to obtain multiple groups of X-ray images of soft tissue imaging and multiple groups of X-ray images of bone tissue imaging;
具体的,软组织受到的脉冲频率为:fs;骨组织受到的脉冲频率为:fb;Specifically, the pulse frequency received by the soft tissue is: f s ; the pulse frequency received by the bone tissue is: f b ;
具体的,多组软组织成像的X射线图像和多组骨组织成像的X射线图像,分别表示为:Specifically, multiple groups of soft tissue imaging X-ray images and multiple groups of bone tissue imaging X-ray images are respectively expressed as:
Is={Is1,Is2,Is3,…,Isn}I s ={I s1 ,I s2 ,I s3 ,…,I sn }
Ib={Ib1,Ib2,Ib3,…,Ibn}I b ={I b1 ,I b2 ,I b3 ,…,I bn }
应当说明的是,分别考虑软组织和骨组织不同的脉冲频率,得到不同频率下的软组织成像与骨组织成像的X射线图像,实现了在不同频率下捕捉软组织和骨组织的复杂特征;It should be noted that by considering different pulse frequencies of soft tissue and bone tissue respectively, X-ray images of soft tissue imaging and bone tissue imaging at different frequencies are obtained, which realizes capturing the complex characteristics of soft tissue and bone tissue at different frequencies;
S2、利用骨骼的密度和结构特征,调整图像中的重建权重,进行骨硬化模型重建,并根据重建的骨硬化模型,对图像中硬化效应引起的伪影进行识别;S2, using the density and structural characteristics of the bone, adjusting the reconstruction weight in the image, reconstructing the bone sclerosis model, and identifying artifacts caused by the sclerosis effect in the image based on the reconstructed bone sclerosis model;
进一步的,通过双能X射线吸收测量公式,计算出多组软组织成像的X射线图像和多组骨组织成像的X射线图像中像素点的骨矿物质密度值与皮质骨的矿物质密度;Furthermore, the bone mineral density values of the pixels in the multiple sets of soft tissue imaging X-ray images and the multiple sets of bone tissue imaging X-ray images and the mineral density of the cortical bone are calculated by using the dual-energy X-ray absorption measurement formula;
具体的,双能X射线吸收测量公式表示为:Specifically, the dual-energy X-ray absorption measurement formula is expressed as:
其中,BMD为骨矿物质密度值,CMD为皮质骨的矿物质密度;f(Es,Is)函数表示在软组织成像能量范围Es内,软组织成像图像Is对骨矿物质密度值(BMD)的贡献;g(Eb,Ib)函数表示在骨组织成像能量范围Eb内,骨组织成像图像Ib对骨矿物质密度值(BMD)的贡献;h(Es,Is)函数表示在软组织成像能量范围Es内,软组织成像图像Is对皮质骨矿物质密度(CMD)的贡献;k(Eb,Ib)函数表示在骨组织成像能量范围Eb内,骨组织成像图像Ib对皮质骨矿物质密度(CMD)的贡献;Wherein, BMD is the bone mineral density value, CMD is the mineral density of cortical bone; f(E s ,I s ) function represents the contribution of soft tissue imaging image I s to the bone mineral density value (BMD) within the soft tissue imaging energy range E s ; g(E b ,I b ) function represents the contribution of bone tissue imaging image I b to the bone mineral density value (BMD) within the bone tissue imaging energy range E b ; h(E s ,I s ) function represents the contribution of soft tissue imaging image I s to the cortical bone mineral density (CMD) within the soft tissue imaging energy range E s ; k(E b ,I b ) function represents the contribution of bone tissue imaging image I b to the cortical bone mineral density (CMD) within the bone tissue imaging energy range E b ;
更进一步的,通过骨小梁分割算法,得到骨小梁的平均厚度,公式表示为:Furthermore, the average thickness of trabeculae is obtained through the trabeculae segmentation algorithm, and the formula is expressed as:
其中,N是骨小梁平均厚度的像素点总数;Where N is the total number of pixels of the average thickness of trabecular bone;
更进一步的,通过皮质骨分割算法,得到皮质骨的平均厚度,公式表示为:Furthermore, the average thickness of the cortical bone is obtained through the cortical bone segmentation algorithm, and the formula is expressed as:
其中,M是皮质骨平均厚度的像素点总数;Where M is the total number of pixels of the average thickness of cortical bone;
具体的,二阶导数用于捕捉图像的局部曲率变化,其中曲率的变化能够反映出骨小梁和皮质骨的结构特征;Specifically, the second-order derivative is used to capture the local curvature changes of the image, where the changes in curvature can reflect the structural characteristics of trabecular and cortical bones;
进一步的,通过骨矿物质密度值、皮质骨的矿物质密度、骨小梁的平均厚度以及皮质骨的平均厚度,设计权重函数;Furthermore, a weight function is designed by using the bone mineral density value, the mineral density of the cortical bone, the average thickness of the trabecular bone, and the average thickness of the cortical bone;
具体的,权重函数表示为:Specifically, the weight function is expressed as:
w=αBMD+βCMD+γTtrab+δTcort w=αBMD+βCMD+γT trab +δT cort
其中,α、β、γ和δ分别代表了骨矿物质密度值(BMD)、皮质骨矿物质密度(CMD)、骨小梁平均厚度Ttrab以及皮质骨平均厚度Tcort在模型重建中的权重系数;Among them, α, β, γ and δ represent the weight coefficients of bone mineral density (BMD), cortical bone mineral density (CMD), average trabecular thickness T trab and average cortical bone thickness T cort in model reconstruction, respectively;
更进一步的,根据权重函数,对骨硬化模型进行重建,表示为:Furthermore, the bone sclerosis model is reconstructed according to the weight function, which is expressed as:
其中,是模型参数,wij为第i个软组织图像像素和第j个骨组织图像像素的综合权重;in, is the model parameter, w ij is the comprehensive weight of the i-th soft tissue image pixel and the j-th bone tissue image pixel;
进一步的,引入复合梯度算子,计算图像硬化效应带来的梯度,表示为:Furthermore, a composite gradient operator is introduced to calculate the gradient caused by the image hardening effect, which is expressed as:
Cx=Sx+Px+Rx+Tx Cx = Sx + Px + Rx + Tx
Cy=Sy+Py+Ry+Ty Cy = Sy + Py + Ry + Ty
Cz=Sz+Pz+Rz+Tz Cz = Sz + Pz + Rz + Tz
其中,Sx为Sobel算子在x方向上的梯度分量,Px为Prewitt算子在x方向上的梯度分量,Rx为Roberts算子在x方向上的梯度分量,Tx为Canny算子在x方向上的梯度分量;Sy为Sobel算子在y方向上的梯度分量,Py为Prewitt算子在y方向上的梯度分量,Ry为Roberts算子在y方向上的梯度分量,Ty为Canny算子在y方向上的梯度分量;Sz为Sobel算子在z方向上的梯度分量,Pz为Prewitt算子在z方向上的梯度分量,Rz为Roberts算子在z方向上的梯度分量,Tz为Canny算子在z方向上的梯度分量;Wherein, S x is the gradient component of the Sobel operator in the x direction, P x is the gradient component of the Prewitt operator in the x direction, R x is the gradient component of the Roberts operator in the x direction, and T x is the gradient component of the Canny operator in the x direction; Sy is the gradient component of the Sobel operator in the y direction, P y is the gradient component of the Prewitt operator in the y direction, R y is the gradient component of the Roberts operator in the y direction, and Ty is the gradient component of the Canny operator in the y direction; S z is the gradient component of the Sobel operator in the z direction, P z is the gradient component of the Prewitt operator in the z direction, R z is the gradient component of the Roberts operator in the z direction, and T z is the gradient component of the Canny operator in the z direction;
更进一步的,对梯度的幅度值G和方向θ进行计算,得到:Furthermore, the magnitude G and direction θ of the gradient are calculated to obtain:
更进一步的,将计算得到的幅度值进行非极大值抑制,同时基于计算得到的幅度值,调整图像高低阈值;Furthermore, the calculated amplitude value is subjected to non-maximum suppression, and the high and low thresholds of the image are adjusted based on the calculated amplitude value;
具体的,非极大值抑制得到:Specifically, non-maximum suppression is obtained:
其中,ifG(x,y,z)is a local maximum alongθ(x,y,z)表示如果梯度幅值G(x,y,z)在梯度方向θ(x,y,z)上是局部最大值;Among them, ifG(x,y,z)is a local maximum alongθ(x,y,z) means if the gradient magnitude G(x,y,z) is a local maximum along the gradient direction θ(x,y,z);
具体的,调整图像高低阈值和低阈值表示为:Specifically, adjusting the high and low thresholds of the image is expressed as:
Tlow=μG―σG T low = μ G ―σ G
其中,μG为梯度幅度值的平均值,σG为梯度幅度值的标准差;Wherein, μ G is the mean value of the gradient amplitude, σ G is the standard deviation of the gradient amplitude;
更进一步的,将调整的图像高低阈值进行边缘连接,提取伪影特征,表示为:Furthermore, the adjusted image high and low thresholds are edge-connected to extract artifact features, expressed as:
其中,表示如果非极大值抑制后的梯度幅值G′(x,y,z)大于高阈值或者与一个强边缘相连;in, Indicates that if the gradient amplitude G′(x,y,z) after non-maximum suppression is greater than the high threshold or connected to a strong edge;
应当说明的是,强边缘指的是梯度幅值大于高阈值的像素点;1和―1分别表示为保留值和不保留值;It should be noted that a strong edge refers to a pixel whose gradient amplitude is greater than a high threshold; 1 and -1 represent the retained value and the non-retained value, respectively;
更进一步的,根据伪影特征与骨硬化模型的匹配结果,标记伪影区域;Furthermore, the artifact area is marked according to the matching result between the artifact features and the bone sclerosis model;
具体的,将提取的伪影特征与骨硬化模型进行匹配,计算每个像素点在坐标位置处的匹配度:Specifically, the extracted artifact features are matched with the bone sclerosis model, and the matching degree of each pixel point at the coordinate position is calculated:
其中,eh(x,y,z)为(x,y,z)位置的邻域;Among them, eh(x,y,z) is the neighborhood of the position (x,y,z);
具体的,标记伪影区域,表示为:Specifically, the artifact area is marked as:
其中,MatchingScore(x,y,z)表示在坐标处伪影特征与骨硬化模型的匹配得分;Among them, MatchingScore(x,y,z) represents the matching score between the artifact feature and the bone sclerosis model at the coordinate;
S3、根据伪影的识别结果,对重建模型中的参数进行迭代调整,输出校正后的图像,将校正后的图像与实际骨骼图像进行对比;S3, iteratively adjusting the parameters in the reconstruction model according to the artifact recognition result, outputting a corrected image, and comparing the corrected image with the actual bone image;
进一步的,迭代调整处理过程如下;Further, the iterative adjustment process is as follows;
S301、定义误差函数,计算图像中的伪影与预想伪影的差值;S301, defining an error function, and calculating the difference between an artifact in the image and an expected artifact;
具体的,定义误差函数表示为:Specifically, the error function is defined as:
其中,Iactual为预想伪影;Among them, I actual is the expected artifact;
S302、通过差值,对骨硬化模型中的参数进行更新,公式表示为:S302, updating the parameters in the bone sclerosis model through the difference, the formula is expressed as:
其中,η为学习率,为误差函数的梯度,为当前更新参数;Where η is the learning rate, is the gradient of the error function, Update parameters for the current time;
S303、计算误差函数与参数的梯度,公式表示为:S303, calculate the gradient of the error function and the parameter, the formula is expressed as:
S304、根据更新后的参数,对图像进行校正,得到:S304: Based on the updated parameters , correct the image and get:
其中,Icorrected(x,y,z)为校正后的图像;Among them, I corrected (x, y, z) is the corrected image;
S305、重复S302~S304,直到误差函数达到模型的最大迭代次数,输出校正后的图像;S305, repeat S302 to S304 until the error function reaches the maximum number of iterations of the model, and output the corrected image;
具体的,误差函数收敛或误差函数达到模型的最大迭代次数都可以,其中收敛需要使得误差函数达到最小值;Specifically, the error function Convergence or the error function reaches the maximum number of iterations of the model, where convergence requires the error function to reach the minimum value;
具体的,若模型梯度较大则选择最大迭代次数,若模型梯度较小则选择收敛达到最小值;Specifically, if the model gradient is large, the maximum number of iterations is selected, and if the model gradient is small, convergence to the minimum value is selected;
应当说明的是,通过根据梯度大小选择迭代或是收敛,在实现动态校正的同时,可以节省模型的计算资源,防止了模型在高梯度区域过度拟合训练数据,降低过拟合风险,同时避免了欠拟合,提高了模型的泛化能力;It should be noted that by selecting iteration or convergence according to the gradient size, while achieving dynamic correction, the model's computing resources can be saved, preventing the model from overfitting the training data in high-gradient areas, reducing the risk of overfitting, and avoiding underfitting, thereby improving the generalization ability of the model;
进一步的,将校正后的图像转换为三维模型,在虚拟现实环境中对三维模型进行展示,根据用户选择感兴趣的对比结果并生成报告;Further, the corrected image is converted into a three-dimensional model, the three-dimensional model is displayed in a virtual reality environment, and a report is generated based on the comparison results of interest selected by the user;
具体的,虚拟现实环境采用VR方式,对比结果为三维模型和实际骨骼的三维立体图展示效果;Specifically, the virtual reality environment uses VR, and the comparison result is a three-dimensional stereogram display effect of the three-dimensional model and the actual skeleton;
其中,报告中包括,差异图、分析数据和三维模型截图。The report includes difference diagrams, analysis data and 3D model screenshots.
进一步的,本实施例还提供一种基于骨硬化模型的双能校正系统,包括:Furthermore, this embodiment also provides a dual-energy correction system based on a bone sclerosis model, comprising:
多频率图像获取模块,被配置为通过多频率采样技术在软组织成像能量范围和骨组织成像能量范围内获取多个频率的X射线图像;A multi-frequency image acquisition module is configured to acquire X-ray images of multiple frequencies within a soft tissue imaging energy range and a bone tissue imaging energy range through a multi-frequency sampling technique;
骨硬化模型重建与伪影识别模块,被配置为利用骨骼的密度和结构特征,调整图像中的重建权重,进行骨硬化模型重建,并根据重建的骨硬化模型,对图像中硬化效应引起的伪影进行识别;The bone sclerosis model reconstruction and artifact recognition module is configured to adjust the reconstruction weight in the image using the density and structural characteristics of the bone, reconstruct the bone sclerosis model, and recognize artifacts caused by the sclerosis effect in the image based on the reconstructed bone sclerosis model;
适应性模型参数调整与可视化输出模块,被配置为根据伪影的识别结果,对重建模型中的参数进行迭代调整,输出校正后的图像,将校正后的图像与实际骨骼图像进行对比。The adaptive model parameter adjustment and visualization output module is configured to iteratively adjust the parameters in the reconstruction model according to the recognition results of the artifacts, output the corrected image, and compare the corrected image with the actual bone image.
本实施例还提供一种计算机设备,适用于基于骨硬化模型的双能校正方法的情况,包括:This embodiment also provides a computer device, which is applicable to the dual-energy correction method based on the bone sclerosis model, and includes:
存储器和处理器;存储器用于存储计算机可执行指令,处理器用于执行计算机可执行指令,实现如上述实施例提出的基于骨硬化模型的双能校正方法。Memory and processor; the memory is used to store computer executable instructions, and the processor is used to execute computer executable instructions to implement the dual-energy correction method based on the bone sclerosis model proposed in the above embodiment.
该计算机设备可以是终端,该计算机设备包括通过系统总线连接的处理器、存储器、通信接口、显示屏和输入装置。其中,该计算机设备的处理器用于提供计算和控制能力。该计算机设备的存储器包括非易失性存储介质、内存储器。该非易失性存储介质存储有操作系统和计算机程序。该内存储器为非易失性存储介质中的操作系统和计算机程序的运行提供环境。该计算机设备的通信接口用于与外部的终端进行有线或无线方式的通信,无线方式可通过WIFI、运营商网络、NFC(近场通信)或其他技术实现。该计算机设备的显示屏可以是液晶显示屏或者电子墨水显示屏,该计算机设备的输入装置可以是显示屏上覆盖的触摸层,也可以是计算机设备外壳上设置的按键、轨迹球或触控板,还可以是外接的键盘、触控板或鼠标等。The computer device may be a terminal, and the computer device includes a processor, a memory, a communication interface, a display screen and an input device connected via a system bus. Among them, the processor of the computer device is used to provide computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and an internal memory. The non-volatile storage medium stores an operating system and a computer program. The internal memory provides an environment for the operation of the operating system and the computer program in the non-volatile storage medium. The communication interface of the computer device is used to communicate with an external terminal in a wired or wireless manner, and the wireless manner can be achieved through WIFI, an operator network, NFC (near field communication) or other technologies. The display screen of the computer device may be a liquid crystal display screen or an electronic ink display screen, and the input device of the computer device may be a touch layer covering the display screen, or a key, trackball or touchpad provided on the housing of the computer device, or an external keyboard, touchpad or mouse, etc.
本实施例还提供一种存储介质,其上存储有计算机程序,该程序被处理器执行时实现如上述实施例提出的基于骨硬化模型的双能校正方法。This embodiment also provides a storage medium on which a computer program is stored. When the program is executed by a processor, the dual-energy correction method based on the bone sclerosis model proposed in the above embodiment is implemented.
本实施例提出的存储介质与上述实施例提出的数据存储方法属于同一发明构思,未在本实施例中详尽描述的技术细节可参见上述实施例,并且本实施例与上述实施例具有相同的有益效果。The storage medium proposed in this embodiment and the data storage method proposed in the above embodiment belong to the same inventive concept. The technical details not fully described in this embodiment can be found in the above embodiment, and this embodiment has the same beneficial effects as the above embodiment.
实施例2Example 2
参照图3和图4,为本发明第二个实施例,该实施例提供了一种基于骨硬化模型的双能校正方法,包括:通过仿真实验的方式对本发明中涉及的有益效果作进一步的验证;3 and 4 , which are the second embodiment of the present invention, the embodiment provides a dual-energy correction method based on a bone sclerosis model, including: further verifying the beneficial effects involved in the present invention by means of simulation experiments;
实验采用了一台GE Discovery CT750 HD双能CT扫描仪,其参数配置如下:软组织成像能量范围:40~80k(eV),骨组织成像能量范围:80~120k(eV),X射线脉冲频率:初始状态下每秒1k(Hz);A GE Discovery CT750 HD dual-energy CT scanner was used in the experiment, and its parameters were configured as follows: soft tissue imaging energy range: 40-80 k (eV), bone tissue imaging energy range: 80-120 k (eV), X-ray pulse frequency: 1 k per second (Hz) in the initial state;
选取人类骨骼图像:4个,分别来自不同年龄段,为20岁、30岁、50岁和70岁;随机采集骨骼模型:4个,分别模拟不同密度和结构的骨骼;在温度22±2℃和湿度50±5℃下进行实验;经过本发明方案的计算实施,得到校正后的图像与实际骨骼图像进行对比图,提取其中两组对比图中的数据结果,如表1和表2所示;Four human bone images were selected, from different age groups, namely, 20, 30, 50 and 70 years old; four bone models were randomly collected, simulating bones of different densities and structures; the experiment was conducted at a temperature of 22±2°C and a humidity of 50±5°C; after the calculation and implementation of the scheme of the present invention, the corrected images were obtained and compared with the actual bone images, and the data results in two groups of comparison images were extracted, as shown in Tables 1 and 2;
表1对比组(实际图像)与试验组(校正后)得到的结果Table 1 Results of the comparison group (actual image) and the test group (after correction)
通过表1可以看到,试验组的BMD值低于对比组,这表明本发明方法在去除硬化效应伪影后,能够更准确地反映出实际骨矿物质的密度,降低了约50mg/cm3,且在校正过程中,能够有效地减少由硬化效应引起的误差,提高了图像的真实度,CMD值分别降低了约45mg/cm3和50mg/cm3;虽然骨小梁和皮质骨平均厚度的数据较为接近,但结合硬化效应伪影,可以看到伪影从15%和14%分别降至5%和4%,具有显著效果;其次,在图像清晰图方面,可以看到校正后的图像清晰度明显提高了图像质量;From Table 1, it can be seen that the BMD value of the test group is lower than that of the control group, which indicates that after removing the hardening effect artifact, the method of the present invention can more accurately reflect the density of the actual bone mineral, which is reduced by about 50mg/ cm3 , and in the correction process, it can effectively reduce the error caused by the hardening effect, improve the authenticity of the image, and the CMD value is reduced by about 45mg/ cm3 and 50mg/ cm3 respectively; although the data of the average thickness of trabecular bone and cortical bone are relatively close, combined with the hardening effect artifact, it can be seen that the artifact is reduced from 15% and 14% to 5% and 4% respectively, which has a significant effect; secondly, in terms of image clarity, it can be seen that the image clarity after correction significantly improves the image quality;
为了进一步量化校正效果,使用结构相似性指数(SSIM)和均方误差(MSE)来评估图像质量,具体公式如下:In order to further quantify the correction effect, the structural similarity index (SSIM) and mean square error (MSE) are used to evaluate the image quality. The specific formula is as follows:
其中,μ表示为平均值,σ表示标准差;Among them, μ represents the mean value and σ represents the standard deviation;
其中,H为所有像素的总数;Where H is the total number of all pixels;
得到结果如表2所示;The results are shown in Table 2;
表2Table 2
通过表2,可以看到试验组的SSIM值明显高于对比组,分别达到0.95和0.96,而对比组仅为0.85和0.87;这表明校正后图像在结构上与实际图像更加相似,反映了更高的图像质量;且试验组的MSE值显著低于对比组,分别为0.004和0.003,而对比组为0.012和0.011;表明校正后图像与实际图像的差异减小,进一步验证了校正方法的有效性。From Table 2, we can see that the SSIM value of the test group is significantly higher than that of the control group, reaching 0.95 and 0.96 respectively, while the control group is only 0.85 and 0.87; this indicates that the corrected image is more similar to the actual image in structure, reflecting a higher image quality; and the MSE value of the test group is significantly lower than that of the control group, which is 0.004 and 0.003 respectively, while the control group is 0.012 and 0.011; this indicates that the difference between the corrected image and the actual image is reduced, further verifying the effectiveness of the correction method.
本领域内的技术人员应明白,本发明实施例可提供为方法、系统、或计算机程序产品。因此,本申请可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本申请可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。本申请实施例中的方案可以采用各种计算机语言实现,例如,面向对象的程序设计语言Java和直译式脚本语言JavaScript等。Those skilled in the art will appreciate that the embodiments of the present invention can be provided as methods, systems, or computer program products. Therefore, the application can adopt the form of complete hardware embodiments, complete software embodiments, or embodiments in combination with software and hardware. Moreover, the application can adopt the form of a computer program product implemented on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) that contain computer-usable program codes. The scheme in the embodiments of the present application can be implemented in various computer languages, for example, object-oriented programming language Java and literal scripting language JavaScript, etc.
本申请是参照根据本申请实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The present application is described with reference to the flowchart and/or block diagram of the method, device (system) and computer program product according to the embodiment of the present application. It should be understood that each process and/or box in the flowchart and/or block diagram, and the combination of the process and/or box in the flowchart and/or block diagram can be realized by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor or other programmable data processing device to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing device produce a device for realizing the function specified in one process or multiple processes in the flowchart and/or one box or multiple boxes in the block diagram.
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing device to work in a specific manner, so that the instructions stored in the computer-readable memory produce a manufactured product including an instruction device that implements the functions specified in one or more processes in the flowchart and/or one or more boxes in the block diagram.
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions may also be loaded onto a computer or other programmable data processing device so that a series of operational steps are executed on the computer or other programmable device to produce a computer-implemented process, whereby the instructions executed on the computer or other programmable device provide steps for implementing the functions specified in one or more processes in the flowchart and/or one or more boxes in the block diagram.
尽管已描述了本申请的优选实施例,但本领域内的技术人员一旦得知了基本创造性概念,则可对这些实施例作出另外的变更和修改。所以,所附权利要求意欲解释为包括优选实施例以及落入本申请范围的所有变更和修改。Although the preferred embodiments of the present application have been described, those skilled in the art may make other changes and modifications to these embodiments once they have learned the basic creative concept. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments and all changes and modifications falling within the scope of the present application.
显然,本领域的技术人员可以对本申请进行各种改动和变型而不脱离本申请的精神和范围。这样,倘若本申请的这些修改和变型属于本申请权利要求及其等同技术的范围之内,则本申请也意图包含这些改动和变型在内。Obviously, those skilled in the art can make various changes and modifications to the present application without departing from the spirit and scope of the present application. Thus, if these modifications and variations of the present application fall within the scope of the claims of the present application and their equivalents, the present application is also intended to include these modifications and variations.
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