CN107909592A - A kind of line drawing drawing generating method for mural painting image - Google Patents
A kind of line drawing drawing generating method for mural painting image Download PDFInfo
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Abstract
Description
技术领域technical field
涉及针对壁画图像的线描图生成技术,尤其是针对彩色壁画图像的平滑去噪和轮廓提取技术。It involves line drawing generation technology for mural images, especially smooth denoising and contour extraction technology for color mural images.
背景技术Background technique
壁画是我国珍贵的文化遗产之一,而起底于敦煌壁画的线描画,既是中国传统绘画特有的一种绘画方式,又是一种特殊的壁画保护手段,具有重要的研究价值。传统的线描绘制主要依靠手工操作。由于壁画的特殊性,画工只能依靠局部灯光进行绘制;随着多媒体技术的推广,改为对洞窟壁画进行拍照或录制,画工再比对着数字壁画进行线描绘制工作。依靠手工进行线描绘制的过程十分复杂并且非常耗时,与壁画面临的威胁蔓延的速度相比,以此达到保护壁画的目的十分微小.利用计算机和图像处理技术,对壁画进行线描生成过程,既不会对文物造成损害,也具有高效、可复用等传统方法没有的特点.因此有必要针对数字化壁画开展线描图生成技术研究。Murals are one of my country's precious cultural heritages, and line drawing, which originated from Dunhuang murals, is not only a unique painting method of traditional Chinese painting, but also a special means of mural protection, which has important research value. Traditional line drawing mainly relies on manual operation. Due to the particularity of murals, painters can only rely on local lighting to draw; with the promotion of multimedia technology, they instead take pictures or record cave murals, and then compare them to digital murals for line drawing. The process of relying on manual line drawing is very complicated and time-consuming. Compared with the spread of threats faced by murals, the purpose of protecting murals is very small. Using computer and image processing technology, the line drawing generation process of murals , will not cause damage to cultural relics, but also has the characteristics of high efficiency and reusability that traditional methods do not have. Therefore, it is necessary to carry out research on line drawing generation technology for digital murals.
线描图生成关键技术涉及边缘提取。典型的边缘提取算子有Canny[1]等。但将这些算子直接应用于线描画的提取时,会对笔道两侧产生响应,从而出现同一笔道对应2个边缘的情况。全局边缘概率检测算子(Glabalized Probability of a Boundary,gPb)[2]具有较高的准确率,并且对于一些较细的笔道只生成一条边缘,但是其宽度为单像素、连续性也较差.如果不进行骨架提取处理,gPb算子的结果虽然能够体现笔道的宽度,但是无法提取比较密集的笔道。基于流的高斯差(FDoG)算法[3]使用基于流的各向异性过滤器来代替传统的边缘检测算子,用非线性核对向量场进行滤波以构建边缘正切流,使得显著边缘保留其原有方向,弱边缘的方向与其邻域内显著边缘的方向一致,是一种有效的线条表示方法。但自然或人为因素的影响,壁画图像普遍面临缺损裂纹氧化等现象,故图像中存在大量噪声,或很多不必要的细节,因此必须考虑对壁画图像采用平滑或者去噪技术来进行预处理操作。The key technology of line drawing generation involves edge extraction. Typical edge extraction operators include Canny[1] and so on. However, when these operators are directly applied to the extraction of line drawing, they will respond to both sides of the stroke, so that the same stroke corresponds to two edges. The global edge probability detection operator (Glabalized Probability of a Boundary, gPb) [2] has a high accuracy rate, and only generates one edge for some thinner strokes, but its width is single pixel and the continuity is poor .If skeleton extraction is not performed, although the result of gPb operator can reflect the width of strokes, it cannot extract relatively dense strokes. The flow-based difference of Gaussian (FDoG) algorithm [3] uses a flow-based anisotropic filter to replace the traditional edge detection operator, and uses a nonlinear kernel to filter the vector field to construct an edge tangent flow, so that the salient edge retains its original With direction, the direction of the weak edge is consistent with the direction of the prominent edge in its neighborhood, which is an effective line representation method. However, under the influence of natural or human factors, mural images generally face defects, cracks, oxidation and other phenomena, so there are a lot of noise in the image, or many unnecessary details, so smoothing or denoising technology must be considered for preprocessing operations on mural images.
参考文献:references:
[1]庄军,李弼程,陈刚.一种有效的文本图像二值化方法.微计算机信息,2005(8):56-58.[1] Zhuang Jun, Li Bicheng, Chen Gang. An effective method for binarizing text and images. Microcomputer Information, 2005(8): 56-58.
[2]陈丹,张蜂,贺贵明.一种改进的文本图像二值化算法.计算机工程,2003(13):85-86.[2] Chen Dan, Zhang Feng, He Guiming. An Improved Text Image Binarization Algorithm. Computer Engineering, 2003(13): 85-86.
[3]J.Bernsen.Dynamic Thresholding of Gray level.Internal Conferenceon Pattern Recognition,1986:1251-1255.[3] J.Bernsen.Dynamic Thresholding of Gray level.Internal Conference on Pattern Recognition,1986:1251-1255.
发明内容Contents of the invention
本发明提出一种针对壁画图像的线描图生成方法,能将彩色壁画图像自动转换为对应的线描图,具有抗干扰能力强、适用范围广等特点。技术方案如下:The invention proposes a method for generating a line drawing for a mural image, which can automatically convert a color mural image into a corresponding line drawing, and has the characteristics of strong anti-interference ability and wide application range. The technical solution is as follows:
一种针对壁画图像的线描图生成方法,包括下列步骤:A method for generating line drawings for mural images, comprising the following steps:
(1)使用全局变分平滑滤波器对输入的原图进行平滑预处理,得到平滑图像I;(1) Use a global variational smoothing filter to perform smoothing preprocessing on the input original image to obtain a smoothed image I;
(2)将平滑图像I转换为灰度图像I0,其红、绿、蓝三通道图像分别用IR、IG和IB表示;(2) Convert the smooth image I to a grayscale image I 0 , and its red, green, and blue three-channel images are represented by I R , I G and I B respectively;
(3)基于高斯模糊对I0进行高频滤波提升,处理结果用I2表示;(3) Carry out high-frequency filtering and upgrading to I 0 based on Gaussian blur, and the processing result is represented by I 2 ;
(4)构造出边缘切向流场,再利用改进的FDoG滤波器方法抽取出具有增强效果的线条图,输出结果用H'表示,采用如下过程进行轮廓提取:(4) Construct the edge tangential flow field, and then use the improved FDoG filter method to extract the enhanced line drawing, the output result is represented by H', and the following process is used for contour extraction:
第1步:从平滑图像I中构建边缘正切流场,t(x)表示局部边缘方向,在其垂直方向有最大对比度,即梯度方向;Step 1: Construct the edge tangent flow field from the smooth image I, t(x) represents the local edge direction, and has the maximum contrast in its vertical direction, that is, the gradient direction;
第2步:在构造出边缘切向流场的基础上,改进FDoG方法,利用高频提升提取的线条强化壁画的特点,把原输入的灰度图像I0替换成它与高频滤波提升结果I2相乘后得到的结果Im,定义新的FDoG滤波器H(x);Step 2: On the basis of constructing the edge tangential flow field, improve the FDoG method, use the lines extracted by high-frequency lifting to strengthen the characteristics of the mural, and replace the original input grayscale image I 0 with it and the high-frequency filter lifting result The result I m obtained after multiplying I 2 defines a new FDoG filter H(x);
(5)采用中值滤波技术对图像H’进行滤波处理。(5) Use the median filtering technique to filter the image H'.
本发明的有益效果有:1)具有较强的抗噪声干扰能力;2)生成的线描图能保留壁画的主结构和艺术风格。The beneficial effects of the invention are as follows: 1) it has strong anti-noise interference ability; 2) the generated line drawing can retain the main structure and artistic style of the mural.
附图说明Description of drawings
图1所提方法框图Figure 1 Block diagram of the proposed method
图2所提方法处理过程示例图Figure 2 Example diagram of the processing process of the proposed method
(a)输入图像 (b)平滑结果 (c)灰度图(a) Input image (b) Smoothing result (c) Grayscale image
(d)灰度增量图 (e)高频提升结果 (f)线描提取和去噪结果(d) Grayscale incremental image (e) High frequency lifting result (f) Line drawing extraction and denoising result
图3部分实验结果 (a)三幅输入的壁画图像 (b)三幅壁画线描生成结果Figure 3 Part of the experimental results (a) Three input mural images (b) Three mural line drawing generation results
具体实施方式Detailed ways
本发明提出的面向壁画图像的线描图提取与生成方法,包括平滑处理、高频滤波、边缘正切流构建、轮廓提取和中值滤波等步骤。首先对原图壁画图像进行全局变分平滑处理,剔除不必要的细节信息,再进行灰度处理,然后进行基于高斯模糊的高频滤波提升来简化背景像素灰度值的分布,接下来构建边缘正切流(ETF),并利用改进的FDoG提取轮廓得到抽象线条图.最后采用中值滤波手段对结果进行处理。The mural image-oriented line drawing extraction and generation method proposed by the present invention includes steps such as smoothing, high-frequency filtering, edge tangent flow construction, contour extraction, and median filtering. First, global variational smoothing is performed on the original mural image to remove unnecessary details, and then grayscale processing is performed, and then high-frequency filtering based on Gaussian blur is performed to simplify the distribution of background pixel grayscale values, and then the edge is constructed Tangent flow (ETF), and use the improved FDoG to extract the outline to get the abstract line drawing. Finally, the median filtering method is used to process the result.
主要包括:平滑预处理、灰度化、高频滤波提升、流高斯差分轮廓提取和中值滤波等步骤。图1给出了所提方法的框图。It mainly includes: smoothing preprocessing, grayscale, high-frequency filter enhancement, flow Gaussian difference contour extraction and median filter and other steps. Figure 1 presents the block diagram of the proposed method.
1、平滑预处理1. Smooth preprocessing
由于自然或人为因素造成壁画破损、氧化等问题,因此我们首先要对壁画图像进行平滑处理,尽可能排除噪声干扰。所提方法使用全局变分平滑滤波器。具体过程如下:Due to natural or man-made factors causing mural damage, oxidation and other problems, we must first smooth the mural image to eliminate noise interference as much as possible. The proposed method uses a global variational smoothing filter. The specific process is as follows:
算法1:全局变分平滑Algorithm 1: Global Variational Smoothing
第1步:输入信号g,输出信号f,目标函数定义为式(1):Step 1: input signal g, output signal f, and the objective function is defined as formula (1):
λ是一个权重控制两者之间的比重,实际上它是一个平滑参数,当其值越大越平滑.图像中非零梯度个数与λ呈单调递增关系.λ is a weight that controls the proportion between the two. In fact, it is a smoothing parameter. When its value is larger, it becomes smoother. The number of non-zero gradients in the image has a monotonically increasing relationship with λ.
第2步:计算图像梯度的L0范数c(f),即约束条件如式(2)。Step 2: Calculate the L0 norm c(f) of the image gradient, that is, the constraints are as in formula (2).
c(f)=#{p||fp-fp-1|≠0} (2)c(f)=#{p||f p -f p-1 |≠0} (2)
其中p和p-1是图像中相邻元素,|fp-fp-1|就是图像梯度,#{}表示计数,因此该表达式表示输出的非零个数或者说梯度不为零的个数等于k。图像处理结果用I表示。Where p and p-1 are adjacent elements in the image, |f p -f p-1 | is the image gradient, #{} represents the count, so this expression represents the non-zero number of output or the gradient is not zero The number is equal to k. The image processing results are represented by I.
2、灰度化2. Grayscale
将上一步中得到的平滑图像转换为灰度图像。用I表示平滑图像,其红、绿、蓝三通道图像分别用IR、IG和IB表示。使用式(3)得到灰度图像,并用I0表示,即有:Convert the smoothed image obtained in the previous step to a grayscale image. The smooth image is represented by I, and the red, green and blue three-channel images are represented by I R , I G and I B respectively. Use the formula (3) to get the grayscale image, and express it with I 0 , that is:
3、高频滤波提升3. High-frequency filter enhancement
通常壁画图像中的笔道像素和背景像素在局部范围内灰度值差异较大,但是在全局范围内灰度值范围有重合.为使笔道更易于被提取,同时保持笔道和背景的对比度,本文基于高斯模糊对I0进行高频滤波提升,处理结果用I2表示。具体过程如下:Generally, the stroke pixels and background pixels in the mural image have a large difference in gray value in the local range, but the gray value range overlaps in the global range. In order to make the stroke easier to be extracted, while maintaining the distance between the stroke and the background Contrast, this paper performs high-frequency filtering on I 0 based on Gaussian blur, and the processing result is represented by I 2 . The specific process is as follows:
算法2:高频提升Algorithm 2: High frequency boost
第1步:对灰度图像I0进行高斯模糊,即高斯低通滤波。滤波器的定义如式(4)所示,处理结果用I1表示。Step 1: Perform Gaussian blurring on the grayscale image I 0 , that is, Gaussian low-pass filtering. The definition of the filter is shown in formula (4), and the processing result is represented by I 1 .
其中,σ为高斯分布的标准差,可以表示分布曲线的扩张程度。Among them, σ is the standard deviation of the Gaussian distribution, which can represent the degree of expansion of the distribution curve.
第2步:使用式(5)计算灰度图的增量,结果用ΔI0表示,即有Step 2: Use formula (5) to calculate the increment of the grayscale image, and the result is represented by ΔI 0 , that is,
第3步:进行高频提升。结果用I2表示,即有Step 3: Do a high frequency boost. The result is represented by I 2 , that is,
I2(x,y)=min(255,I0(x,y)+ΔI0(x,y)) (6)I 2 (x,y)=min(255,I 0 (x,y)+ΔI 0 (x,y)) (6)
4、轮廓提取4. Contour extraction
构造出边缘切向流场,再利用改进的FDoG滤波器方法抽取出具有增强效果的线条图。输出结果用H'表示。本发明使用以下过程进行轮廓提取:The edge tangential flow field is constructed, and then the improved FDoG filter method is used to extract line drawings with enhanced effects. The output result is represented by H'. The present invention uses the following process for contour extraction:
算法3:流高斯差分滤波Algorithm 3: Flow Gaussian Difference Filtering
第1步:利用经典的ETF(Edge Tangent Flow)方法从平滑图像I中构建边缘正切流t(x)。t(x)表示局部边缘方向,意味着在其垂直方向有最大对比度,即梯度方向。Step 1: Use the classic ETF (Edge Tangent Flow) method to construct the edge tangent flow t(x) from the smooth image I. t(x) represents the local edge direction, which means that there is maximum contrast in its vertical direction, that is, the gradient direction.
第2步:在构造出边缘切向流场的基础上,改进经典的FDoG(Flow-BasedDifference Of Gaussian)方法,利用高频提升提取的线条强化壁画的特点,把原输入的灰度图图像I0替换成它与高频提升结果I2相乘后得到的结果Im。用H(x)表示定义新的FDoG滤波器,其定义如下:Step 2: On the basis of constructing the edge tangential flow field, improve the classic FDoG (Flow-Based Difference Of Gaussian) method, use the lines extracted by high-frequency enhancement to strengthen the characteristics of murals, and convert the original input grayscale image I 0 is replaced by the result I m obtained after multiplying it with the high-frequency boost result I 2 . Use H(x) to define a new FDoG filter, which is defined as follows:
式中,Gσ为一个单边量、方差为σ2的高斯函数,见公式(4)。σm决定了流核心的长度,给σm赋一个定值,就决定了梯度方向S的大小。F(s)的定义如下:In the formula, G σ is a Gaussian function with unilateral quantity and variance σ 2 , see formula (4). σ m determines the length of the flow core, assigning a fixed value to σ m determines the size of the gradient direction S. F(s) is defined as follows:
Im(x,y)=I0(x,y)·Im(x,y)/255(9)I m (x, y) = I 0 (x, y)·I m (x, y)/255(9)
ls(t)表示在直线ls上t处的点,t是弧长参数,其值在[-T,T]之间。Im(ls(t))代表输入图像Im在ls(t)的值。ρ控制检测到的噪音级别,一般在[0.97,1]区域变化。l s (t) indicates the point at t on the straight line l s , t is the arc length parameter, and its value is between [-T, T]. I m (l s (t)) represents the value of the input image Im at l s (t). ρ controls the detected noise level and generally varies in the [0.97,1] region.
第3步:采用阈值抽取出黑白的线条图像,结果用H'(x)表示。Step 3: Use the threshold to extract the black and white line image, and the result is represented by H'(x).
其中,tanh(H(x))为双曲正切函数,τ为[0,1]范围的阈值,控制边缘检测的敏感程度。Among them, tanh(H(x)) is the hyperbolic tangent function, and τ is the threshold in the [0,1] range, which controls the sensitivity of edge detection.
在上述算法中,取ρ=0.998,τ=0.5,σs=1.6σc,σc值可由用户给定进行调整。In the above algorithm, ρ=0.998, τ=0.5, σ s =1.6σ c , and the value of σ c can be adjusted by setting by the user.
5、中值滤波5. Median filtering
考虑到上述方法生成的结果中仍会包含部分噪声,采用中值滤波技术对图像H’进行滤波处理,降低噪声影响。用G表示经双边滤波处理后的图像。Considering that the results generated by the above method still contain some noise, the image H' is filtered by median filtering technology to reduce the influence of noise. G represents the image processed by bilateral filtering.
采用Windows7系统下的Visual C++2010作为实验仿真平台。选用自己采集的扫描文档图像作为测试集,共计120幅图像。水平/垂直分辨率是300dpi,像素数为800×680。采用本发明所提方法对测试图像进行处理,得到了良好的处理效果,平均处理速度为10s,处理速度能够满足要求。Visual C++ 2010 under Windows 7 system is used as the experimental simulation platform. The scanned document images collected by ourselves are selected as the test set, with a total of 120 images. The horizontal/vertical resolution is 300dpi, and the number of pixels is 800×680. The method proposed by the invention is used to process the test image, and a good processing effect is obtained. The average processing speed is 10s, and the processing speed can meet the requirements.
图2所示为所提方法处理过程示例。图3所示为更多的处理结果,其中(a)为输入的壁画图像,(b)为本发明所提方法的处理结果。Figure 2 shows an example of the processing process of the proposed method. Figure 3 shows more processing results, where (a) is the input mural image, and (b) is the processing result of the method proposed in the present invention.
本发明可以概括为如下的方法步骤;The present invention can be summarized as following method step;
步骤1:使用算法1,结合式(1)和式(2),将输入彩色壁画图像进行平滑预处理,处理结果用I表示。Step 1: Using Algorithm 1, combined with formula (1) and formula (2), the input color mural image is smoothed and preprocessed, and the processing result is represented by I.
步骤2:使用公式(3),对I进行灰度处理,处理结果用I0表示。Step 2: Use formula (3) to perform grayscale processing on I, and the processing result is represented by I 0 .
步骤3:使用算法2,结合式(4)、式(5)和式(6),对I0进行高频滤波提升,处理结果用I2表示。Step 3: Use Algorithm 2, combined with formula (4), formula (5) and formula (6), to carry out high-frequency filtering and upgrading on I 0 , and the processing result is represented by I 2 .
步骤4:使用算法3,结合式(7)至式(10),构建边缘正切流,对Im进行基于流的高斯差分线条提取,处理结果用H’表示。Step 4: Use Algorithm 3 and combine Equation (7) to Equation (10) to construct edge tangent flow, perform flow-based Gaussian difference line extraction on I m , and denote the processing result by H'.
步骤5:对H’进行中值滤波,去除噪点,处理结果用G表示。Step 5: Carry out median filtering on H' to remove noise, and the processing result is represented by G.
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