CN115049721B - Volume measurement method of micron-level biological tissue, volume measurement device, cell number measurement method and computer equipment - Google Patents
Volume measurement method of micron-level biological tissue, volume measurement device, cell number measurement method and computer equipment Download PDFInfo
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Abstract
Description
技术领域Technical Field
本发明属于生物组织测量技术领域,具体涉及一种微米级生物组织的体积测量方法、体积测量装置、细胞数量测量方法及计算机设备。The present invention belongs to the technical field of biological tissue measurement, and in particular relates to a volume measurement method, a volume measurement device, a cell quantity measurement method and a computer device for micron-level biological tissue.
背景技术Background Art
类器官、细胞团等微米级生物组织的体积和它所包含的细胞数量是生物组织培养过程中的重要参数,本发明中的微米级一般是指尺寸界于3-500微米的生物组织。无透镜片上全息成像设备是一种三维全息成像设备,主要包括图像传感器、不同入射角的入射光源和计算机,在获取生物组织图像时,生物组织样品放置于图像传感器上方的区域;图像传感器获取的生物组织样品在不同入射角的入射光源照明下的图像;根据获取的生物组织图像并利用无透镜偏上全息成像设备中计算机的现有三维成像算法(例如:光学衍射层析算法、滤波反投影算法或强度衍射层析类算法)进行三维成像。无透镜片上全息成像设备可以参考文献:[1]左超,孙嘉松,等。使用LED矩阵进行多角度和多波长照明的无透镜相位显微镜和衍射断层扫描[J].光学快报,201523(11):14314-14328。[2]罗振翔,丽丝·贝特等。用于3D生物细胞培养成像的快速压缩无透镜断层扫描[J].光学快报,202028(18):26935-26952。The volume of micron-sized biological tissues such as organoids and cell clusters and the number of cells they contain are important parameters in the biological tissue culture process. The micron-sized in the present invention generally refers to biological tissues with a size between 3 and 500 microns. A lensless on-chip holographic imaging device is a three-dimensional holographic imaging device, which mainly includes an image sensor, incident light sources with different incident angles, and a computer. When acquiring biological tissue images, the biological tissue sample is placed in the area above the image sensor; the image sensor acquires the image of the biological tissue sample under the illumination of the incident light source with different incident angles; and three-dimensional imaging is performed based on the acquired biological tissue image and using the existing three-dimensional imaging algorithm (for example: optical diffraction tomography algorithm, filtered back projection algorithm or intensity diffraction tomography algorithm) of the computer in the lensless on-chip holographic imaging device. References for lensless on-chip holographic imaging devices can be found in the following literature: [1] Zuo Chao, Sun Jiasong, et al. Lensless phase microscopy and diffraction tomography using LED matrix for multi-angle and multi-wavelength illumination [J]. Optics Express, 201523(11): 14314-14328. [2] Luo Zhenxiang, Liz Bette, et al. Fast compressed lensless tomography for 3D biological cell culture imaging[J]. Optics Express, 202028(18): 26935-26952.
目前针对类器官等三维细胞团的生物组织的体积和细胞数量的测量方法只有奥林巴斯公司推出的NoviSight3D细胞分析软件,但是该软件只能在共聚焦显微镜和多光子显微镜这类高分辨率光学成像工具的成像结果中使用。对于无透镜片上全息三维成像设备的成像结果,其计算机中现有三维成像算法的原因,导致当前还无法针对无透镜片上全息三维成像设备的成像结果进行相应的体积和细胞数量测量。Currently, the only method for measuring the volume and cell number of biological tissues such as organoids is the NoviSight3D cell analysis software launched by Olympus, but this software can only be used in the imaging results of high-resolution optical imaging tools such as confocal microscopes and multiphoton microscopes. Due to the existing 3D imaging algorithms in the computer, it is currently impossible to perform corresponding volume and cell number measurements on the imaging results of lensless on-chip holographic 3D imaging devices.
发明内容Summary of the invention
本发明提供了一种微米级生物组织的体积测量方法、体积测量装置、细胞数量测量方法及计算机设备,旨在解决根据现有无透镜片上全息三维成像设备的三维成像结果无法获取微米级生物组织的体积和细胞数量问题。The present invention provides a volume measurement method, a volume measurement device, a cell number measurement method and a computer device for micron-level biological tissue, aiming to solve the problem that the volume and cell number of micron-level biological tissue cannot be obtained based on the three-dimensional imaging results of the existing lensless on-chip holographic three-dimensional imaging device.
为了解决上述技术问题,本发明所采用的技术方案为:In order to solve the above technical problems, the technical solution adopted by the present invention is:
第一个方面,本发明提供了一种微米级生物组织的体积测量方法,包括:In a first aspect, the present invention provides a method for measuring the volume of a micrometer-level biological tissue, comprising:
接收采用无透镜片上全息三维成像设备获取的生物组织样品的若干个图像;所述无透镜片上全息三维成像设备包括图像传感器和不同入射角的入射光源,所述生物组织样品位于图像传感器上方的区域;所述图像为由图像传感器获取的生物组织样品在不同入射角的入射光源照明下的图像;receiving a plurality of images of a biological tissue sample acquired by a lensless on-chip holographic 3D imaging device; the lensless on-chip holographic 3D imaging device comprises an image sensor and incident light sources with different incident angles, the biological tissue sample is located in a region above the image sensor; the images are images of the biological tissue sample acquired by the image sensor under illumination of incident light sources with different incident angles;
根据图像传感器、生物组织样品及入射光光源的位置关系建立包含x轴、y轴和z轴且执行所述FBPP-LHM算法所需的三维坐标系;Establishing a three-dimensional coordinate system including an x-axis, a y-axis, and a z-axis according to the positional relationship among the image sensor, the biological tissue sample, and the incident light source and required for executing the FBPP-LHM algorithm;
根据所述图像传感器在三维坐标系内的位置信息、入射光的物理信息、生物组织样品周围介质折射率和图像传感器获取的生物组织样品在不同入射角的入射光源照明下的若干个图像,采用预设的FBPP-LHM算法,在所述三维坐标系内图像传感器上方的区域中,每间隔dz计算一个二维截面的折射率分布,每个二维截面均垂直于三维坐标系的z轴;According to the position information of the image sensor in the three-dimensional coordinate system, the physical information of the incident light, the refractive index of the medium surrounding the biological tissue sample, and a plurality of images of the biological tissue sample acquired by the image sensor under the illumination of the incident light source at different incident angles, a preset FBPP-LHM algorithm is used to calculate the refractive index distribution of a two-dimensional cross section at every interval dz in the area above the image sensor in the three-dimensional coordinate system, where each two-dimensional cross section is perpendicular to the z-axis of the three-dimensional coordinate system;
将计算完成的各个二维截面中二维截面的折射率分布拼接获得生物组织样品的三维折射率分布,根据所述三维折射率分布得到样品的三维成像结果;splicing the calculated refractive index distributions of the two-dimensional cross sections in each two-dimensional cross section to obtain a three-dimensional refractive index distribution of the biological tissue sample, and obtaining a three-dimensional imaging result of the sample according to the three-dimensional refractive index distribution;
根据三维成像结果,在生物组织样品所在区域内提取包含生物组织样品的长方体空间,将长方体空间划分为与每个二维截面中像素点一一对应且与像素点数量相同的长方体网格,每个长方体网格的体积vi为:According to the three-dimensional imaging results, a rectangular space containing the biological tissue sample is extracted in the area where the biological tissue sample is located, and the rectangular space is divided into rectangular grids that correspond to the pixels in each two-dimensional section one by one and have the same number of pixels. The volume vi of each rectangular grid is :
vi=p×p×dz; vi = p × p × dz;
式中:p为像素点的边长,dz为相邻两个二维截面之间的间距;Where: p is the side length of the pixel, dz is the distance between two adjacent two-dimensional sections;
根据生物组织样品的三维折射率分布,判断长方体空间内像素点为生物组织样品像素点的数量;根据长方体空间内像素点为生物组织样品像素点的数量,得到数量相同的生物组织样品内的长方体网格的数量S;According to the three-dimensional refractive index distribution of the biological tissue sample, the number of pixels in the rectangular space that are the biological tissue sample pixels is determined; according to the number of pixels in the rectangular space that are the biological tissue sample pixels, the number S of rectangular grids in the biological tissue sample with the same number is obtained;
将生物组织样品内的长方体网格的数量S乘以长方体网格的体积vi,得到生物组织样品体积V:The volume V of the biological tissue sample is obtained by multiplying the number S of the rectangular grids in the biological tissue sample by the volume v i of the rectangular grids:
V=S×vi。V = S × vi .
进一步改进的方案,生物组织样品像素点的判断条件为:In a further improved solution, the judgment conditions for the pixels of biological tissue samples are:
判断每个像素点处的折射率是否超过设定折射率L;若超过,则像素点判断为是生物组织样品像素点;若不超过,则像素点判断为不是生物组织样品像素点。It is determined whether the refractive index at each pixel exceeds the set refractive index L; if so, the pixel is determined to be a biological tissue sample pixel; if not, the pixel is determined to be not a biological tissue sample pixel.
基于上述方案,类器官等生物组织样品的周围介质一般为液体,生物组织样品的折射率略大于液体折射率,液体折射率接近水的折射率,设定折射率L介于周围介质折射率和类器官的折射率之间;通过判断像素点折射率是否超过设定折射率便可以判定为像素点是否为生物组织样品的像素点。Based on the above scheme, the surrounding medium of biological tissue samples such as organoids is generally liquid, the refractive index of the biological tissue sample is slightly larger than that of the liquid, and the refractive index of the liquid is close to that of water. The refractive index L is set between the refractive index of the surrounding medium and the refractive index of the organoid; by judging whether the refractive index of the pixel point exceeds the set refractive index, it can be determined whether the pixel point is a pixel point of the biological tissue sample.
进一步改进的方案,所述设定折射率L为:In a further improved solution, the refractive index L is set to:
L=nm+(amax-nm)/3L = nm + (a max - nm ) / 3
式中,nm是生物组织样品周围介质折射率,amax为长方体空间中的折射率的最大值。Where, nm is the refractive index of the medium surrounding the biological tissue sample, and a max is the maximum refractive index in the rectangular space.
基于上述方案,在生物组织样品周围介质折射率的基础上,再加上长方体空间中的折射率的最大值与生物组织样品周围介质折射率插值的三分之一,作为设定折射率,来评判生物组织样品像素点,误差较小且精度较高。Based on the above scheme, on the basis of the refractive index of the medium surrounding the biological tissue sample, the maximum refractive index in the rectangular space and one-third of the interpolated refractive index of the medium surrounding the biological tissue sample are added as the set refractive index to judge the pixel points of the biological tissue sample, with small error and high accuracy.
进一步改进的方案,建立执行所述FBPP-LHM算法所需的三维坐标系时,将所述图像传感器所处平面垂直于z轴,且中心位于z轴上;In a further improved solution, when establishing the three-dimensional coordinate system required for executing the FBPP-LHM algorithm, the plane where the image sensor is located is perpendicular to the z-axis and the center is located on the z-axis;
所述图像传感器在三维坐标系内的位置信息为:所述图像传感器所处平面在三维坐标系z轴上与坐标原点的距离;The position information of the image sensor in the three-dimensional coordinate system is: the distance between the plane where the image sensor is located and the coordinate origin on the z-axis of the three-dimensional coordinate system;
所述入射光的物理信息包括:不同入射光的极化角、方位角、入射光波长及入射光强度。The physical information of the incident light includes: polarization angle, azimuth angle, wavelength and intensity of the incident light.
进一步改进的方案,采用预设的FBPP-LHM算法,在所述三维坐标系内图像传感器上方的区域中,每间隔dz计算一个二维截面的折射率分布的步骤包括:A further improved solution adopts a preset FBPP-LHM algorithm, and the step of calculating the refractive index distribution of a two-dimensional cross section at each interval dz in the area above the image sensor in the three-dimensional coordinate system includes:
(1)对第t个LED灯照明下获取的图像It进行二维傅里叶变换获得其频谱并存入计算机内存;其中,t=1,2,3……N,N表示入射光光源总数,且入射光光源总数与图像个数相等;(1) Perform a two-dimensional Fourier transform on the image I t obtained under the illumination of the t-th LED light to obtain its spectrum and stored in the computer memory; wherein, t = 1, 2, 3 ... N, N represents the total number of incident light sources, and the total number of incident light sources is equal to the number of images;
(2)定义第t个LED灯照明下获取的图像所对应的滤波器:(2) Define the filter corresponding to the image obtained under the illumination of the tth LED light:
式中:kx,ky为频域空间坐标,km=2πnm/λ,nm是生物组织样品周围介质折射率,λ是入射光波长,z1为所述二维截面在三维坐标系z轴上与坐标原点之间的截面距离,θ0为入射光的极化角,z0表示所述图像传感器所处平面在三维坐标系z轴上与坐标原点的距离,表示第t个入射光的方位角;Wherein: k x , ky are frequency domain spatial coordinates, km = 2πn m /λ, nm is the refractive index of the medium surrounding the biological tissue sample, λ is the wavelength of the incident light, z 1 is the cross-sectional distance between the two-dimensional cross section and the coordinate origin on the z axis of the three-dimensional coordinate system, θ 0 is the polarization angle of the incident light, z 0 represents the distance between the plane where the image sensor is located and the coordinate origin on the z axis of the three-dimensional coordinate system, represents the azimuth angle of the tth incident light;
(3)对步骤(2)中的滤波器进行移位,得到滤波器式中分别为入射光沿kx,ky方向的波矢量:(3) Shift the filter in step (2) to obtain the filter In the formula are the wave vectors of the incident light along the k x and ky directions respectively:
(4)将步骤(1)中的频谱与步骤(3)中的滤波器相乘,获得图像It滤波后的频谱:(4) Multiply the spectrum in step (1) by the filter in step (3) to obtain the filtered spectrum of image I t :
(5)将全部图像滤波It滤波后的频谱进行相加,并乘以常数项得到F:(5) Add the spectra of all images after filtering I t and multiply by the constant term Get F:
式中:a0为入射光强度;i为复数单位,KZ0为入射光在频域空间坐标z方向上的波矢量;Where: a0 is the incident light intensity; i is a complex unit, KZ0 is the wave vector of the incident light in the frequency domain spatial coordinate z direction;
(6)将步骤(5)中的F进行二维傅里叶逆变换,获得生物组织样品位于z=z1处截面的信息f,然后获得生物组织样品位于z=z1处截面的每个像素点处的折射率n:(6) Perform a two-dimensional inverse Fourier transform on F in step (5) to obtain information f of the cross section of the biological tissue sample at z= z1 , and then obtain the refractive index n of each pixel point of the cross section of the biological tissue sample at z= z1 :
(7)改变z1的值,重复步骤(2)-(6),获得每个二维截面的折射率分布。(7) Change the value of z1 and repeat steps (2)-(6) to obtain the refractive index distribution of each two-dimensional cross section.
第二个方面,本发明提供了一种微米级生物组织的体积测量装置,包括:In a second aspect, the present invention provides a device for measuring the volume of micrometer-level biological tissue, comprising:
图像接收模块:接收采用无透镜片上全息三维成像设备获取的生物组织样品的若干个图像;所述无透镜片上全息三维成像设备包括图像传感器和不同入射角的入射光源,所述生物组织样品位于图像传感器上方的区域;所述图像为由图像传感器获取的生物组织样品在不同入射角的入射光源照明下的图像;An image receiving module receives a plurality of images of a biological tissue sample acquired by a lensless on-chip holographic 3D imaging device; the lensless on-chip holographic 3D imaging device comprises an image sensor and incident light sources with different incident angles, and the biological tissue sample is located in an area above the image sensor; the images are images of the biological tissue sample acquired by the image sensor under illumination of incident light sources with different incident angles;
三维坐标系建立模块:根据图像传感器、生物组织样品及入射光光源的位置关系建立包含x轴、y轴和z轴且执行所述FBPP-LHM算法所需的三维坐标系;A three-dimensional coordinate system establishment module: a three-dimensional coordinate system including an x-axis, a y-axis and a z-axis is established according to the positional relationship among the image sensor, the biological tissue sample and the incident light source and required for executing the FBPP-LHM algorithm;
二维截面折射率分布计算模块:根据所述图像传感器在三维坐标系内的位置信息、入射光的物理信息、生物组织样品周围介质折射率和图像传感器获取的生物组织样品在不同入射角的入射光源照明下的若干个图像,采用预设的FBPP-LHM算法,在所述三维坐标系内图像传感器上方的区域中,每间隔dz计算一个二维截面的折射率分布,每个二维截面均垂直于三维坐标系的z轴;A two-dimensional cross-sectional refractive index distribution calculation module: based on the position information of the image sensor in the three-dimensional coordinate system, the physical information of the incident light, the refractive index of the medium surrounding the biological tissue sample, and a plurality of images of the biological tissue sample acquired by the image sensor under illumination of incident light sources at different incident angles, a preset FBPP-LHM algorithm is used to calculate the refractive index distribution of a two-dimensional cross section at each interval dz in the area above the image sensor in the three-dimensional coordinate system, where each two-dimensional cross section is perpendicular to the z-axis of the three-dimensional coordinate system;
三维成像模块:将计算完成的各个二维截面中二维截面的折射率分布拼接获得生物组织样品的三维折射率分布,根据所述三维折射率分布得到样品的三维成像结果;Three-dimensional imaging module: splicing the calculated refractive index distributions of the two-dimensional cross sections to obtain the three-dimensional refractive index distribution of the biological tissue sample, and obtaining the three-dimensional imaging result of the sample according to the three-dimensional refractive index distribution;
长方体网格体积计算模块:根据三维成像结果,在生物组织样品所在区域内提取包含生物组织样品的长方体空间,将长方体空间划分为与每个二维截面中像素点一一对应且与像素点数量相同的长方体网格,每个长方体网格的体积vi为:Rectangular grid volume calculation module: According to the three-dimensional imaging results, the rectangular space containing the biological tissue sample is extracted in the area where the biological tissue sample is located, and the rectangular space is divided into rectangular grids that correspond to the pixels in each two-dimensional section one by one and have the same number of pixels. The volume of each rectangular grid, vi , is :
vi=p×p×dz; vi = p × p × dz;
式中:p为像素点的边长,dz为相邻两个二维截面之间的间距;Where: p is the side length of the pixel, dz is the distance between two adjacent two-dimensional sections;
长方体网格数量获取模块:根据生物组织样品的三维折射率分布,判断长方体空间内像素点为生物组织样品像素点的数量;根据长方体空间内像素点为生物组织样品像素点的数量,得到数量相同的生物组织样品内的长方体网格的数量S;Rectangular grid number acquisition module: according to the three-dimensional refractive index distribution of the biological tissue sample, determine the number of pixels in the rectangular space that are biological tissue sample pixels; according to the number of pixels in the rectangular space that are biological tissue sample pixels, obtain the number S of rectangular grids in the biological tissue sample with the same number;
生物组织样品体积计算模块:将生物组织样品内的长方体网格的数量S乘以长方体网格的体积vi,得到生物组织样品体积V:Biological tissue sample volume calculation module: multiply the number S of rectangular grids in the biological tissue sample by the volume v i of the rectangular grid to obtain the volume V of the biological tissue sample:
V=S×vi。V = S × vi .
进一步改进的方案,生物组织样品像素点的判断条件为:In a further improved solution, the judgment conditions for the pixels of biological tissue samples are:
判断每个像素点处的折射率是否超过设定折射率L;若超过,则像素点判断为是生物组织样品像素点;若不超过,则像素点判断为不是生物组织样品像素点。It is determined whether the refractive index at each pixel exceeds the set refractive index L; if so, the pixel is determined to be a biological tissue sample pixel; if not, the pixel is determined to be not a biological tissue sample pixel.
进一步改进的方案,所述设定折射率L为:In a further improved solution, the refractive index L is set to:
L=nm+(amax-nm)/3L = nm + (a max - nm ) / 3
式中,nm是生物组织样品周围介质折射率,amax为长方体空间中的折射率的最大值。Where, nm is the refractive index of the medium surrounding the biological tissue sample, and a max is the maximum refractive index in the rectangular space.
第三个方面,本发明提供了一种微米级生物组织的细胞数量测量方法,细胞数量M的计算公式为:In a third aspect, the present invention provides a method for measuring the number of cells in micrometer-level biological tissues, wherein the calculation formula for the number of cells M is:
M=V/vM=V/v
式中:v为单个细胞的体积,V为通过第一方面任一所述的一种微米级生物组织的体积测量方法测量得到的生物组织的体积。In the formula: v is the volume of a single cell, and V is the volume of the biological tissue measured by any one of the micrometer-level biological tissue volume measurement methods described in the first aspect.
由于类器官等生物组织的单个细胞的体积v通常大小是一样的,故只要通过第一方面微米级生物组织的体积测量方法测量得到的生物组织的体积,便可以计算出单个细胞的体积,计算较为方便。Since the volume v of a single cell in biological tissues such as organoids is usually the same size, the volume of a single cell can be calculated as long as the volume of the biological tissue is measured by the volume measurement method of micron-level biological tissue in the first aspect, which makes the calculation more convenient.
第四个方面,本发明提供了一种计算机设备,包括通信连接的存储器和处理器,所述存储器用于存储计算机程序,所述处理器用于执行计算机程序实现第一方面任一所述的一种微米级生物组织的体积测量方法的步骤。In a fourth aspect, the present invention provides a computer device comprising a memory and a processor in communication connection, wherein the memory is used to store a computer program, and the processor is used to execute the computer program to implement the steps of a method for measuring the volume of micrometer-level biological tissue as described in any one of the first aspects.
本发明的有益效果为:The beneficial effects of the present invention are:
本发明第一方面提供的一种微米级生物组织的体积测量方法,通过FBPP-LHM算法分别计算出每个二维截面中每个像素点的折射率,并通过各个二维截面中每个像素点的折射率拼接获得生物组织样品的三维折射率分布,从而得到生物组织的三维成像结果;根据三维成像结果,在生物组织样品所在区域内提取包含生物组织样品的长方体空间,将长方体空间划分为与像素点一一对应且与像素点数量相同的长方体网格,且根据像素点的面积和相邻两个二维截面之间的间距计算出单个长方体网格的体积;根据生物组织样品的三维折射率分布,可以获得生物组织样品像素点的数量以及长方体网格的数量;通过将长方体网格的数量乘以长方体网格的体积,便可以得到生物组织样品体积。The first aspect of the present invention provides a method for measuring the volume of micron-level biological tissues. The refractive index of each pixel point in each two-dimensional section is calculated by the FBPP-LHM algorithm, and the three-dimensional refractive index distribution of the biological tissue sample is obtained by splicing the refractive index of each pixel point in each two-dimensional section, thereby obtaining a three-dimensional imaging result of the biological tissue; according to the three-dimensional imaging result, a rectangular space containing the biological tissue sample is extracted in the area where the biological tissue sample is located, and the rectangular space is divided into rectangular grids that correspond to the pixel points one by one and have the same number as the pixel points, and the volume of a single rectangular grid is calculated according to the area of the pixel points and the spacing between two adjacent two-dimensional sections; according to the three-dimensional refractive index distribution of the biological tissue sample, the number of pixel points of the biological tissue sample and the number of rectangular grids can be obtained; by multiplying the number of rectangular grids by the volume of the rectangular grids, the volume of the biological tissue sample can be obtained.
本发明主要应用于无透镜片上全息成像设备,并为无透镜片上全息成像设备提供了一种新的三维成像方法,并基于该三维成像方法可以完成微米级生物组织的体积测量以及细胞数量的测量。The present invention is mainly applied to lensless on-chip holographic imaging devices, and provides a new three-dimensional imaging method for lensless on-chip holographic imaging devices. Based on the three-dimensional imaging method, volume measurement of micron-level biological tissues and measurement of cell numbers can be completed.
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,下面将对实施例中所需要使用的附图作简要介绍,应当理解,以下附图仅示出了本发明的某些实施例,因此不应被看作是对范围的限定,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他相关附图。In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings required for use in the embodiments are briefly introduced below. It should be understood that the following drawings only show certain embodiments of the present invention and therefore should not be regarded as limiting the scope. For ordinary technicians in this field, other relevant drawings can be obtained based on these drawings without creative work.
图1是本发明中微米级生物组织的体积测量方法的流程示意图。FIG1 is a schematic flow chart of a method for measuring the volume of micrometer-level biological tissues in the present invention.
图2是本发明中三维坐标系的示意图。FIG. 2 is a schematic diagram of a three-dimensional coordinate system in the present invention.
图3是包含有类器官的长方体空间示意图。FIG. 3 is a schematic diagram of a rectangular space containing organoids.
图4是微米级生物组织的体积测量装置逻辑示意图。FIG. 4 is a logical schematic diagram of a device for measuring the volume of biological tissue at the micrometer level.
具体实施方式DETAILED DESCRIPTION
下面将结合本发明实施例中附图,对本发明实施例中的技术方案进行清楚完整的描述。应当理解,此处所描述的具体实施例仅仅用于解释本发明,并不用于限定本发明。基于本发明的实施例,本领域技术人员在没有创造性劳动的前提下所获得的所有其他实施例,都属于本发明的保护范围。The technical scheme in the embodiment of the present invention will be clearly and completely described below in conjunction with the accompanying drawings in the embodiment of the present invention. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not used to limit the present invention. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative work belong to the protection scope of the present invention.
实施例一:Embodiment 1:
参阅图1,本发明提供了一种微米级生物组织的体积测量方法,包括:Referring to FIG. 1 , the present invention provides a method for measuring the volume of a micrometer-level biological tissue, comprising:
S100、接收采用无透镜片上全息三维成像设备获取的生物组织样品的若干个图像;所述无透镜片上全息三维成像设备包括图像传感器和不同入射角的入射光源,所述生物组织样品位于图像传感器上方的区域;所述图像为由图像传感器获取的生物组织样品在不同入射角的入射光源照明下的图像;S100, receiving a plurality of images of a biological tissue sample acquired by a lensless on-chip holographic 3D imaging device; the lensless on-chip holographic 3D imaging device comprises an image sensor and incident light sources with different incident angles, the biological tissue sample is located in a region above the image sensor; the images are images of the biological tissue sample acquired by the image sensor under illumination of incident light sources with different incident angles;
无透镜片上全息三维成像设备的特点包括:(1)生物组织样品距离CMOS传感器(图像传感器)很近,通常在1mm左右(一般在0.1mm到4mm之间);因此称之为“片上”全息,片指的是CMOS传感器芯片。(2)光源与生物组织样品的距离远大于样品与CMOS传感器的距离,因此到达样品的光可近似的认为是平行光。(3)光源从多个不同的角度照明样品。The characteristics of lensless on-chip holographic 3D imaging devices include: (1) The biological tissue sample is very close to the CMOS sensor (image sensor), usually about 1 mm (generally between 0.1 mm and 4 mm); hence it is called "on-chip" holography, where "chip" refers to the CMOS sensor chip. (2) The distance between the light source and the biological tissue sample is much greater than the distance between the sample and the CMOS sensor, so the light reaching the sample can be approximately considered as parallel light. (3) The light source illuminates the sample from multiple different angles.
S200、根据图像传感器、生物组织样品及入射光光源的位置关系建立包含x轴、y轴和z轴且执行所述FBPP-LHM算法所需的三维坐标系;S200, establishing a three-dimensional coordinate system including an x-axis, a y-axis and a z-axis and required for executing the FBPP-LHM algorithm according to the positional relationship among the image sensor, the biological tissue sample and the incident light source;
S300、根据所述图像传感器在三维坐标系内的位置信息、入射光的物理信息、生物组织样品周围介质折射率和图像传感器获取的生物组织样品在不同入射角的入射光源照明下的若干个图像,采用预设的FBPP-LHM算法,在所述三维坐标系内图像传感器上方的区域中,每间隔dz计算一个二维截面的折射率分布,每个二维截面均垂直于三维坐标系的z轴;其中,二维截面的折射率分布信息包括每个二维截面上每个像素点的折射率值。S300. Based on the position information of the image sensor in the three-dimensional coordinate system, the physical information of the incident light, the refractive index of the medium surrounding the biological tissue sample, and a plurality of images of the biological tissue sample acquired by the image sensor under illumination of incident light sources at different incident angles, a preset FBPP-LHM algorithm is used to calculate the refractive index distribution of a two-dimensional section at every interval dz in the area above the image sensor in the three-dimensional coordinate system, where each two-dimensional section is perpendicular to the z-axis of the three-dimensional coordinate system; wherein the refractive index distribution information of the two-dimensional section includes the refractive index value of each pixel point on each two-dimensional section.
S400、将计算完成的各个二维截面中二维截面的折射率分布拼接获得生物组织样品的三维折射率分布,根据所述三维折射率分布得到样品的三维成像结果;S400, splicing the calculated refractive index distributions of the two-dimensional cross sections in each two-dimensional cross section to obtain a three-dimensional refractive index distribution of the biological tissue sample, and obtaining a three-dimensional imaging result of the sample according to the three-dimensional refractive index distribution;
S500、根据三维成像结果,在生物组织样品所在区域内提取包含生物组织样品的长方体空间,将长方体空间划分为与每个二维截面中像素点一一对应且与像素点数量相同的长方体网格,每个长方体网格的体积vi为:S500, according to the three-dimensional imaging result, extract a cuboid space containing the biological tissue sample in the area where the biological tissue sample is located, and divide the cuboid space into cuboid grids which correspond to the pixels in each two-dimensional section one by one and have the same number as the pixels, and the volume vi of each cuboid grid is :
vi=p×p×dz; vi = p × p × dz;
式中:p为像素点的边长,dz为相邻两个二维截面之间的间距;Where: p is the side length of the pixel, dz is the distance between two adjacent two-dimensional sections;
例如:CMOS传感器(图像传感器)的像素点大小为p=1.4um;设置的相邻层的间距为dz=2.8um;则长方体网格(体积元)的体积为vi=p×p×dz=1.4×1.4×2.8=5.488um3;只需要算出生物组织包含多少个长方体网格,便可以知道长方体网格的体积。For example, the pixel size of a CMOS sensor (image sensor) is p=1.4um; the spacing between adjacent layers is dz=2.8um; the volume of the rectangular grid (volume element) is vi =p×p×dz=1.4×1.4×2.8= 5.488um3 ; the volume of the rectangular grid can be known by simply calculating how many rectangular grids the biological tissue contains.
S600、根据生物组织样品的三维折射率分布,判断长方体空间内像素点为生物组织样品像素点的数量;根据长方体空间内像素点为生物组织样品像素点的数量,得到数量相同的生物组织样品内的长方体网格的数量S;S600, judging the number of pixels in the rectangular space that are the biological tissue sample pixels according to the three-dimensional refractive index distribution of the biological tissue sample; obtaining the number S of rectangular grids in the biological tissue sample with the same number according to the number of pixels in the rectangular space that are the biological tissue sample pixels;
S700、将生物组织样品内的长方体网格的数量S乘以长方体网格的体积vi,得到生物组织样品体积V:S700, multiply the number S of rectangular grids in the biological tissue sample by the volume v i of the rectangular grids to obtain the volume V of the biological tissue sample:
V=S×vi。V = S × vi .
以图3中的类器官为例,其中,p=1.4um,dz=2.8um,经过上述方法计算,得到类器官体积为9.88×106um3,该类器官生物组织样品中单个细胞的体积为300um3,于是可以得到类器官中含有m=9.88×106/300um3≈3.3×104个细胞。Taking the organoid in Figure 3 as an example, where p = 1.4um, dz = 2.8um, the volume of the organoid is 9.88×10 6 um 3 calculated by the above method. The volume of a single cell in the organoid biological tissue sample is 300um 3 , so it can be obtained that the organoid contains m = 9.88×10 6 /300um 3 ≈ 3.3×10 4 cells.
在上述方案的基础上,在步骤S600中,所述生物组织样品像素点的判断条件为:On the basis of the above scheme, in step S600, the judgment condition of the biological tissue sample pixel is:
判断每个像素点处的折射率是否超过设定折射率L;若超过,则像素点判断为是生物组织样品像素点;若不超过,则像素点判断为不是生物组织样品像素点。It is determined whether the refractive index at each pixel exceeds the set refractive index L; if so, the pixel is determined to be a biological tissue sample pixel; if not, the pixel is determined to be not a biological tissue sample pixel.
具体的,所述设定折射率L为:Specifically, the refractive index L is set to:
L=nm+(amax-nm)/3L = nm + (a max - nm ) / 3
式中,nm是生物组织样品周围介质折射率,amax为长方体空间中的折射率的最大值。Where, nm is the refractive index of the medium surrounding the biological tissue sample, and a max is the maximum refractive index in the rectangular space.
其中,设定折射率L要位于生物组织样品的周围介质折射率和生物组织样品折射率之间;生物组织样品的周围介质为液体且液体的折射率接近水的折射率1.33,故nm取值为1.33;一般在生物组织样品周围介质折射率的基础上,再加上长方体空间中的折射率的最大值与生物组织样品周围介质折射率插值的三分之一,作为设定折射率,来评判生物组织样品像素点,误差较小且精度较高。Among them, the refractive index L is set to be between the refractive index of the surrounding medium of the biological tissue sample and the refractive index of the biological tissue sample; the surrounding medium of the biological tissue sample is liquid and the refractive index of the liquid is close to the refractive index of water 1.33, so nm is taken as 1.33; generally, on the basis of the refractive index of the surrounding medium of the biological tissue sample, the maximum value of the refractive index in the rectangular space and one-third of the interpolation of the refractive index of the surrounding medium of the biological tissue sample are added as the set refractive index to judge the pixel points of the biological tissue sample, with small error and high accuracy.
具体的,在进行判断每个像素点处的折射率是否超过设定折射率L;若超过,则像素点判断为是生物组织样品像素点,则将生物组织样品像素点的值设为1;若不超过,则像素点判断为不是生物组织样品像素点则将生物组织样品像素点的值为0;统计生物组织样品像素点的值设为1的数量。Specifically, it is determined whether the refractive index at each pixel point exceeds the set refractive index L; if it exceeds, the pixel point is determined to be a biological tissue sample pixel point, and the value of the biological tissue sample pixel point is set to 1; if it does not exceed, the pixel point is determined to be not a biological tissue sample pixel point, and the value of the biological tissue sample pixel point is set to 0; and the number of biological tissue sample pixel points whose values are set to 1 is counted.
参阅图2,在上述方案的基础上,在步骤S200中,建立执行所述FBPP-LHM算法所需的三维坐标系时,将所述图像传感器所处平面垂直于z轴,且中心位于z轴上;Referring to FIG. 2 , based on the above solution, in step S200 , when establishing the three-dimensional coordinate system required for executing the FBPP-LHM algorithm, the plane where the image sensor is located is perpendicular to the z-axis, and the center is located on the z-axis;
则确定图像传感器在三维坐标系内的位置信息为:图像传感器所处平面在三维坐标系z轴上与坐标原点的距离z0。The position information of the image sensor in the three-dimensional coordinate system is determined as follows: the distance z 0 between the plane where the image sensor is located and the origin of the coordinate system on the z axis of the three-dimensional coordinate system.
入射光的物理信息包括:不同入射光的极化角、方位角、入射光波长及入射光强度,S0为入射光方向。The physical information of the incident light includes: polarization angle, azimuth, wavelength and intensity of the incident light, and S0 is the direction of the incident light.
在上述方案的基础上,FBPP-LHM算法的计算结果是生物组织样品的三维折射率分布,预设的FBPP-LHM算法为受滤波反传播方法(Filter Back Propagation,FBPP)的启发,是一种基于无透镜全息硬件结构的滤波反传播算法(Filtered Back-PropagationAlgorithm Based on Lensless Holographic Microscope)。Based on the above scheme, the calculation result of the FBPP-LHM algorithm is the three-dimensional refractive index distribution of the biological tissue sample. The preset FBPP-LHM algorithm is inspired by the filter back propagation method (Filter Back Propagation, FBPP), which is a filtered back propagation algorithm based on a lensless holographic hardware structure (Filtered Back-Propagation Algorithm Based on Lensless Holographic Microscope).
采用预设的FBPP-LHM算法,在所述三维坐标系内图像传感器上方的区域中,每间隔dz计算一个二维截面的折射率分布时,每个二维截面的折射率分布的计算由下面这个公式获得:Using the preset FBPP-LHM algorithm, in the area above the image sensor in the three-dimensional coordinate system, when calculating the refractive index distribution of a two-dimensional cross section at each interval dz, the calculation of the refractive index distribution of each two-dimensional cross section is obtained by the following formula:
具体的计算过程包括:The specific calculation process includes:
(1)对第t个LED灯照明下获取的图像It进行二维傅里叶变换获得其频谱并存入计算机内存;其中,t=1,2,3……N,N表示入射光光源总数,且入射光光源总数与图像个数相等;(1) Perform a two-dimensional Fourier transform on the image I t obtained under the illumination of the t-th LED light to obtain its spectrum and stored in the computer memory; wherein, t = 1, 2, 3 ... N, N represents the total number of incident light sources, and the total number of incident light sources is equal to the number of images;
(2)定义第t个LED灯照明下获取的图像所对应的滤波器:(2) Define the filter corresponding to the image obtained under the illumination of the tth LED light:
式中:kx,ky为频域空间坐标,km=2πnm/λ,nm是生物组织样品周围介质折射率,λ是入射光波长,z1为所述二维截面在三维坐标系z轴上与坐标原点之间的截面距离,θ0为入射光的极化角,z0表示所述图像传感器所处平面在三维坐标系z轴上与坐标原点的距离,表示第t个入射光的方位角;Wherein: k x , ky are frequency domain spatial coordinates, km = 2πn m /λ, nm is the refractive index of the medium surrounding the biological tissue sample, λ is the wavelength of the incident light, z 1 is the cross-sectional distance between the two-dimensional cross section and the coordinate origin on the z axis of the three-dimensional coordinate system, θ 0 is the polarization angle of the incident light, z 0 represents the distance between the plane where the image sensor is located and the coordinate origin on the z axis of the three-dimensional coordinate system, represents the azimuth angle of the tth incident light;
(3)对步骤(2)中的滤波器进行移位,得到滤波器式中分别为入射光沿kx,ky方向的波矢量:(3) Shift the filter in step (2) to obtain the filter In the formula are the wave vectors of the incident light along the k x and ky directions respectively:
(4)将步骤(1)中的频谱与步骤(3)中的滤波器相乘,获得图像It滤波后的频谱:(4) Multiply the spectrum in step (1) by the filter in step (3) to obtain the filtered spectrum of image I t :
(5)将全部图像滤波It滤波后的频谱进行相加,并乘以常数项得到F:(5) Add the spectra of all images after filtering I t and multiply by the constant term Get F:
式中:a0为入射光强度;i为复数单位,KZ0为入射光在频域空间坐标z方向上的波矢量;Where: a0 is the incident light intensity; i is a complex unit, KZ0 is the wave vector of the incident light in the frequency domain spatial coordinate z direction;
(6)将步骤(5)中的F进行二维傅里叶逆变换,获得生物组织样品位于z=z1处截面的信息f,然后获得生物组织样品位于z=z1处截面的每个像素点处的折射率n:(6) Perform a two-dimensional inverse Fourier transform on F in step (5) to obtain information f of the cross section of the biological tissue sample at z= z1 , and then obtain the refractive index n of each pixel point of the cross section of the biological tissue sample at z= z1 :
(7)改变z1的值,重复步骤(2)-(6),获得每个二维截面的折射率分布。(7) Change the value of z1 and repeat steps (2)-(6) to obtain the refractive index distribution of each two-dimensional cross section.
实施例二:Embodiment 2:
参阅图4,本实施例提供了一种微米级生物组织的体积测量装置,包括:Referring to FIG. 4 , this embodiment provides a volume measurement device for micrometer-level biological tissues, comprising:
图像接收模块:接收采用无透镜片上全息三维成像设备获取的生物组织样品的若干个图像;所述无透镜片上全息三维成像设备包括图像传感器和不同入射角的入射光源,所述生物组织样品位于图像传感器上方的区域;所述图像为由图像传感器获取的生物组织样品在不同入射角的入射光源照明下的图像;An image receiving module receives a plurality of images of a biological tissue sample acquired by a lensless on-chip holographic 3D imaging device; the lensless on-chip holographic 3D imaging device comprises an image sensor and incident light sources with different incident angles, and the biological tissue sample is located in an area above the image sensor; the images are images of the biological tissue sample acquired by the image sensor under illumination of incident light sources with different incident angles;
三维坐标系建立模块:根据图像传感器、生物组织样品及入射光光源的位置关系建立包含x轴、y轴和z轴且执行所述FBPP-LHM算法所需的三维坐标系;A three-dimensional coordinate system establishment module: a three-dimensional coordinate system including an x-axis, a y-axis and a z-axis is established according to the positional relationship among the image sensor, the biological tissue sample and the incident light source and required for executing the FBPP-LHM algorithm;
二维截面折射率分布计算模块:根据所述图像传感器在三维坐标系内的位置信息、入射光的物理信息、生物组织样品周围介质折射率和图像传感器获取的生物组织样品在不同入射角的入射光源照明下的若干个图像,采用预设的FBPP-LHM算法,在所述三维坐标系内图像传感器上方的区域中,每间隔dz计算一个二维截面的折射率分布,每个二维截面均垂直于三维坐标系的z轴;A two-dimensional cross-sectional refractive index distribution calculation module: based on the position information of the image sensor in the three-dimensional coordinate system, the physical information of the incident light, the refractive index of the medium surrounding the biological tissue sample, and a plurality of images of the biological tissue sample acquired by the image sensor under illumination of incident light sources at different incident angles, a preset FBPP-LHM algorithm is used to calculate the refractive index distribution of a two-dimensional cross section at each interval dz in the area above the image sensor in the three-dimensional coordinate system, where each two-dimensional cross section is perpendicular to the z-axis of the three-dimensional coordinate system;
三维成像模块:将计算完成的各个二维截面中二维截面的折射率分布拼接获得生物组织样品的三维折射率分布,根据所述三维折射率分布得到样品的三维成像结果;Three-dimensional imaging module: splicing the calculated refractive index distributions of the two-dimensional cross sections to obtain the three-dimensional refractive index distribution of the biological tissue sample, and obtaining the three-dimensional imaging result of the sample according to the three-dimensional refractive index distribution;
长方体网格体积计算模块:根据三维成像结果,在生物组织样品所在区域内提取包含生物组织样品的长方体空间,将长方体空间划分为与每个二维截面中像素点一一对应且与像素点数量相同的长方体网格,每个长方体网格的体积vi为:Rectangular grid volume calculation module: According to the three-dimensional imaging results, the rectangular space containing the biological tissue sample is extracted in the area where the biological tissue sample is located, and the rectangular space is divided into rectangular grids that correspond to the pixels in each two-dimensional section one by one and have the same number of pixels. The volume of each rectangular grid, vi , is :
vi=p×p×dz; vi = p × p × dz;
式中:p为像素点的边长,dz为相邻两个二维截面之间的间距;Where: p is the side length of the pixel, dz is the distance between two adjacent two-dimensional sections;
长方体网格数量获取模块:根据生物组织样品的三维折射率分布,判断长方体空间内像素点为生物组织样品像素点的数量;根据长方体空间内像素点为生物组织样品像素点的数量,得到数量相同的生物组织样品内的长方体网格的数量S;Rectangular grid number acquisition module: according to the three-dimensional refractive index distribution of the biological tissue sample, determine the number of pixels in the rectangular space that are biological tissue sample pixels; according to the number of pixels in the rectangular space that are biological tissue sample pixels, obtain the number S of rectangular grids in the biological tissue sample with the same number;
生物组织样品体积计算模块:将生物组织样品内的长方体网格的数量S乘以长方体网格的体积vi,得到生物组织样品体积V:Biological tissue sample volume calculation module: multiply the number S of rectangular grids in the biological tissue sample by the volume v i of the rectangular grid to obtain the volume V of the biological tissue sample:
V=S×vi。V = S × vi .
其中,生物组织样品像素点的判断条件为:Among them, the judgment conditions of biological tissue sample pixels are:
判断每个像素点处的折射率是否超过设定折射率L;若超过,则像素点判断为是生物组织样品像素点;若不超过,则像素点判断为不是生物组织样品像素点。It is determined whether the refractive index at each pixel exceeds the set refractive index L; if so, the pixel is determined to be a biological tissue sample pixel; if not, the pixel is determined to be not a biological tissue sample pixel.
其中,所述设定折射率L为:Wherein, the set refractive index L is:
L=nm+(amax-nm)/3L = nm + (a max - nm ) / 3
式中,nm是生物组织样品周围介质折射率,amax为长方体空间中的折射率的最大值。Where, nm is the refractive index of the medium surrounding the biological tissue sample, and a max is the maximum refractive index in the rectangular space.
第三个方面,本发明提供了一种微米级生物组织的细胞数量测量方法,细胞数量M的计算公式为:In a third aspect, the present invention provides a method for measuring the number of cells in micrometer-level biological tissues, wherein the calculation formula for the number of cells M is:
M=V/vM=V/v
式中:v为单个细胞的体积,V为通过第一方面任一所述的一种微米级生物组织的体积测量方法测量得到的生物组织的体积。In the formula: v is the volume of a single cell, and V is the volume of the biological tissue measured by any one of the micrometer-level biological tissue volume measurement methods described in the first aspect.
由于类器官等生物组织的单个细胞的体积通常在一个较小的范围内,v为根据预先测量好若干个细胞的体积求取的均值,故只要通过第一方面微米级生物组织的体积测量方法测量得到的生物组织的体积,便可以计算出单个细胞的数量,计算较为方便。Since the volume of a single cell in biological tissues such as organoids is usually within a smaller range, v is the average value obtained based on the volumes of several cells measured in advance. Therefore, as long as the volume of the biological tissue is measured by the volume measurement method of micron-level biological tissue in the first aspect, the number of single cells can be calculated, and the calculation is relatively convenient.
实施例四:Embodiment 4:
本实施例提供了一种计算机设备,包括通信连接的存储器和处理器,所述存储器用于存储计算机程序,所述处理器用于执行计算机程序实现实施例一任一所述的一种微米级生物组织的体积测量方法的步骤。This embodiment provides a computer device, including a memory and a processor that are communicatively connected, wherein the memory is used to store a computer program, and the processor is used to execute the computer program to implement the steps of a method for measuring the volume of a micrometer-level biological tissue as described in any one of the first embodiments.
具体举例的,所述存储器可以但不限于包括随机存取存储器(Random-AccessMemory,RAM)、只读存储器(Read-Only Memory,ROM)、闪存(Flash Memory)、先进先出存储器(First Input First Output,FIFO)和/或先进后出存储器(First Input Last Output,FILO)等;所述处理器可以不限于采用型号为STM32F105系列的微处理器;此外,所述计算机设备还可以但不限于包括有电源模块、显示屏和其它必要的部件。By way of specific example, the memory may include, but is not limited to, a random access memory (RAM), a read-only memory (ROM), a flash memory (Flash Memory), a first-in first-out memory (FIFO) and/or a first-in last-out memory (FILO); the processor may be limited to a microprocessor of the STM32F105 series; in addition, the computer device may also include, but is not limited to, a power module, a display screen and other necessary components.
本实施例提供的前述计算机设备的工作过程、工作细节和技术效果,可以参见如上实施例一中的任意一种微米级生物组织的体积测量方法,于此不再赘述。The working process, working details and technical effects of the aforementioned computer device provided in this embodiment can be referred to any one of the micrometer-level biological tissue volume measurement methods in the above embodiment 1, and will not be described in detail here.
本发明不局限于上述可选实施方式,任何人在本发明的启示下都可得出其他各种形式的产品,但不论在其形状或结构上作任何变化,凡是落入本发明权利要求界定范围内的技术方案,均落在本发明的保护范围之内。The present invention is not limited to the above-mentioned optional implementation modes. Anyone can derive other various forms of products under the inspiration of the present invention. However, no matter what changes are made in the shape or structure, all technical solutions that fall within the scope defined by the claims of the present invention fall within the protection scope of the present invention.
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