CN108093237A - High spatial resolution optical field acquisition device and image generating method - Google Patents
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Abstract
本发明提供了一种高空间分辨率光场采集装置与图像生成方法,将微透镜阵列放置于主镜头与压缩编码传感器之间,微透镜阵列平行于压缩编码传感器,垂直于主镜头光轴,将压缩编码传感器的光敏面完全覆盖;其中每个微透镜均能够聚焦成像,且不同微透镜的成像区域在压缩编码传感器平面互不重叠;目标场景经过主镜头所呈的实像经由微透镜阵列再次汇聚后被压缩编码传感器所记录。本发明在不降低光场角度分辨率和通光量的同时,获得高空间分辨率光场数据,可以减少光场数据量,缓解存储压力,促进光场视频拍摄以及光场数据的网络存储和传播应用发展。
The present invention provides a high spatial resolution light field acquisition device and an image generation method. The microlens array is placed between the main lens and the compression encoding sensor, the microlens array is parallel to the compression encoding sensor and perpendicular to the optical axis of the main lens. The photosensitive surface of the compression coding sensor is completely covered; each microlens can focus imaging, and the imaging areas of different microlenses do not overlap each other on the compression coding sensor plane; the real image presented by the target scene through the main lens is re- Collected and recorded by compression-encoded sensors. The invention obtains light field data with high spatial resolution without reducing the angular resolution and light flux of the light field, which can reduce the amount of light field data, relieve storage pressure, and promote light field video shooting and network storage and transmission of light field data application development.
Description
技术领域technical field
本发明涉及计算机视觉、计算摄像学和光学工程领域,具体涉及一种利用压缩编码传感器与微透镜阵列相结合的光场采集装置和高分辨率光场图像生成方法。The invention relates to the fields of computer vision, computational photography and optical engineering, in particular to a light field acquisition device and a high-resolution light field image generation method using a compression coding sensor combined with a microlens array.
背景技术Background technique
光场成像理论的提出为数字成像领域带来了革命性进步。与传统成像仅记录传感器平面光强分布的投影理论模型不同,光场成像模型是通过新颖的光学系统将场景中的光线按照某种给定的关系与传感器像素进行对应。光场采集装置可以同时采集到光线的位置和角度信息,并在此基础上通过数字化处理生成新颖的图像。但与传统成像技术相比,光场成像技术也存在一定的局限性。在传感器像素一定情况下,光场成像技术存在分辨率折衷问题。另外由于光场数据量十分庞大,不利于大规模的存储和网络传输。这已成为限制光场相机及计算摄影术被进一步广泛应用的瓶颈问题。The theory of light field imaging has brought revolutionary progress to the field of digital imaging. Different from the projection theory model of traditional imaging that only records the light intensity distribution on the sensor plane, the light field imaging model uses a novel optical system to correspond the light in the scene to the sensor pixels according to a given relationship. The light field acquisition device can simultaneously collect the position and angle information of light, and on this basis, generate novel images through digital processing. However, compared with traditional imaging techniques, light field imaging techniques also have certain limitations. In the case of certain sensor pixels, there is a problem of resolution compromise in light field imaging technology. In addition, due to the huge amount of light field data, it is not conducive to large-scale storage and network transmission. This has become a bottleneck problem that limits the further widespread application of light field cameras and computational photography.
为了获取高分辨率光场图像,现有的方法主要包括复用方法和计算方法。斯坦福大学设计的128台相机阵列是空间复用方法的体现。麻省理工学院设计的环形孔径相机是时间复用方法实现。频域复用的现有方法存在光场图像信噪比低的缺点,且较少关注光场角度分辨率的提高。复用方法是将光场位置和角度分辨率之间的折衷转换为时间、空间或通光量之间的折衷,但相应的采集方法存在时间分辨率降低、采集设备规模增大或光场图像信噪比低等缺点,很难在应用中实施。计算方法大多需要准确估计内、外参数,或者需要亚像素级的场景几何结构作为先验,这在实际应用中也较难实现。已有的利用编码板调制光线提高分辨率的装置存在降低光通量的问题。这导致采集信号的信噪比低,重建的光场数据质量较差。In order to obtain high-resolution light field images, existing methods mainly include multiplexing methods and computational methods. The 128-camera array designed by Stanford University is an embodiment of the spatial multiplexing method. The annular aperture camera designed by the Massachusetts Institute of Technology is realized by the time multiplexing method. The existing methods of frequency domain multiplexing have the disadvantage of low signal-to-noise ratio of light field images, and pay less attention to the improvement of the angular resolution of light field. The multiplexing method is to convert the trade-off between light field position and angular resolution into a trade-off between time, space or light flux, but the corresponding acquisition method has the disadvantages of reduced time resolution, increased acquisition equipment scale, or light field image signal. The disadvantages such as low noise ratio are difficult to implement in applications. Most of the calculation methods need to accurately estimate the internal and external parameters, or need the sub-pixel-level scene geometry as a priori, which is also difficult to achieve in practical applications. The existing devices that use coded plates to modulate light to increase resolution have the problem of reducing luminous flux. This results in a low signal-to-noise ratio of the acquired signal and poor quality of the reconstructed light field data.
因此,在不降低角度分辨率和光通量的前提下,获取高空间分辨率光场成为光场成像领域亟待解决的问题。本发明中提出的高空间分辨率光场采集装置能有效地解决该问题,可以广泛的应用于光场视频拍摄、光场数据压缩传输等领域。Therefore, obtaining a high spatial resolution light field without reducing the angular resolution and luminous flux has become an urgent problem to be solved in the field of light field imaging. The high spatial resolution light field acquisition device proposed in the present invention can effectively solve this problem, and can be widely used in fields such as light field video shooting, light field data compression and transmission, and the like.
发明内容Contents of the invention
为了克服现有技术的不足,本发明提供一种基于随机卷积CMOS传感器和微透镜阵列结合的光场采集装置,能够在不降低角度分辨率和光通量的前提下,利用压缩感知技术采集包含更多位置信息的光场信号,并通过全局优化的重建算法构建高空间分辨率光场数据。In order to overcome the deficiencies of the prior art, the present invention provides a light field acquisition device based on the combination of a random convolution CMOS sensor and a microlens array, which can use compressed sensing technology to acquire more light fields without reducing the angular resolution and luminous flux. Light field signals with multi-position information, and construct high spatial resolution light field data through a globally optimized reconstruction algorithm.
本发明解决其技术问题所采用的技术方案是:一种微透镜阵列和压缩编码传感器结合的光场数据采集装置,包括主透镜、微透镜阵列和压缩编码传感器。The technical solution adopted by the present invention to solve the technical problem is: a light field data acquisition device combining a microlens array and a compression encoding sensor, including a main lens, a microlens array and a compression encoding sensor.
所述的微透镜阵列放置于主镜头与压缩编码传感器之间,微透镜阵列平行于压缩编码传感器,垂直于主镜头光轴,能够将压缩编码传感器的光敏面完全覆盖;其中每个微透镜均能够聚焦成像,且不同微透镜的成像区域在压缩编码传感器平面互不重叠;目标场景经过主镜头所呈的实像经由微透镜阵列再次汇聚后被压缩编码传感器所记录。The microlens array is placed between the main lens and the compression encoding sensor, the microlens array is parallel to the compression encoding sensor, perpendicular to the optical axis of the main lens, and can completely cover the photosensitive surface of the compression encoding sensor; wherein each microlens It can focus imaging, and the imaging areas of different microlenses do not overlap each other on the plane of the compression coding sensor; the real image of the target scene passing through the main lens is re-converged by the microlens array and then recorded by the compression coding sensor.
所述的微透镜阵列中微透镜的排布采用行列方式包括但不仅限于相邻行微透镜光心对齐的正四边形和隔行微透镜光心对齐的正六边形排布。The microlenses in the microlens array are arranged in row and column, including but not limited to a regular quadrilateral arrangement in which the optical centers of the microlenses in adjacent rows are aligned, and a regular hexagonal arrangement in which the optical centers of the microlenses in alternate rows are aligned.
所述的微透镜阵列中单个微透镜的艾里斑直径不超过两倍图像传感器像元最短边的长度,单个微透镜的点列图范围不超过其艾里斑直径。The diameter of the Airy disk of a single microlens in the microlens array is not more than twice the length of the shortest side of the image sensor pixel, and the range of the spot diagram of a single microlens is not more than the diameter of the Airy disk.
所述的压缩编码传感器采用随机卷积CMOS图像传感器,传感器的物理分辨率为P*Q;利用移位寄存器中存储的伪随机序列控制CMOS上逐像素执行随机卷积计算,然后利用行、列选择逻辑单元实现随机位置采样,得到压缩采样数据;所述的伪随机序列循环周期内的元素个数大于P*Q。The compression coding sensor adopts a random convolution CMOS image sensor, and the physical resolution of the sensor is P*Q; utilize the pseudo-random sequence stored in the shift register to control the random convolution calculation pixel by pixel on the CMOS, and then use row and column The logic unit is selected to realize sampling at random positions to obtain compressed sampling data; the number of elements in the cycle period of the pseudo-random sequence is greater than P*Q.
所述的微透镜光心所在平面到主镜头焦平面的矢量距离z>0,压缩编码传感器光敏面到微透镜光心所在平面的距离g大于单个微透镜的焦距f,1/g+1/z=1/f;本发明的主镜头焦距F、主镜头通光孔径D和微透镜直径d满足D/(F+z+g)=d/g。The vector distance z>0 from the plane where the optical center of the microlens is located to the focal plane of the main lens, the distance g from the photosensitive surface of the compression encoding sensor to the plane where the optical center of the microlens is located is greater than the focal length f of a single microlens, 1/g+1/ z=1/f; the focal length F of the main lens, the clear aperture D of the main lens and the diameter d of the microlens of the present invention satisfy D/(F+z+g)=d/g.
本发明还提供一种基于压缩感知技术重建高空间分辨率光场的方法,包括以下步骤:The present invention also provides a method for reconstructing a high spatial resolution light field based on compressed sensing technology, comprising the following steps:
1)将主透镜、微透镜阵列和压缩编码传感器的光学尺寸、位置信息在统一成像框架下进行参数化描述,构建基于最小化重投影误差的代价函数,并通过全局优化方法进行求解;1) Parametrically describe the optical size and position information of the main lens, microlens array, and compression-encoded sensor under a unified imaging framework, construct a cost function based on minimizing the reprojection error, and solve it through a global optimization method;
2)角度与位置信息耦合的高分辨率二维光场信号恢复,步骤如下:2) High-resolution two-dimensional light field signal recovery coupled with angle and position information, the steps are as follows:
2.1)根据成像装置内参的参数化模型,求取每个微透镜成像单元的中心坐标;然后提取经过压缩编码传感器压缩后的观测信号,对压缩图像进行旋转处理,使每行成像单元的中心坐标位于同一行像素上;最后对图像的扭曲形变做几何矫正,使观测信号与测量矩阵的对应关系保持一致;2.1) Calculate the center coordinates of each microlens imaging unit according to the parameterized model of the internal parameters of the imaging device; then extract the observation signal compressed by the compression coding sensor, and rotate the compressed image so that the center coordinates of each row of imaging units Located on the same row of pixels; finally, geometrically correct the distortion and deformation of the image, so that the corresponding relationship between the observed signal and the measurement matrix is consistent;
2.2)提取作用于随机编码的伪随机序列,结合伪随机序列构造压缩感知中的测量矩阵;所述的测量矩阵包括但不仅限于高斯随机矩阵、伯努利矩阵、均匀分布矩阵;2.2) extract the pseudo-random sequence that acts on the random code, and combine the pseudo-random sequence to construct the measurement matrix in the compressed sensing; the measurement matrix includes but not limited to Gaussian random matrix, Bernoulli matrix, uniform distribution matrix;
2.3)采用BP方法、BPDN方法或TV方法重建角度与位置信息耦合的超分辨率光场二维信号;2.3) Using BP method, BPDN method or TV method to reconstruct the super-resolution light field two-dimensional signal coupled with angle and position information;
3)依据相机参数化模型计算角度采样数;然后根据二维光场信号中角度信息与位置信息的耦合关系,计算出焦平面处每个微透镜像元提供的空间分辨率大小,并从每个成像单元的相同位置抽取相同大小的像素块进行拼接,合成一个视角下的焦平面成像结果;最后变换单元成像的像素抽取中心,即可合成多个视角下的二维图像,实现四维光场数据构建;3) Calculate the number of angle samples according to the parameterized model of the camera; then calculate the spatial resolution provided by each microlens pixel at the focal plane according to the coupling relationship between the angle information and the position information in the two-dimensional light field signal, and from each The pixel blocks of the same size are extracted from the same position of the two imaging units for splicing, and the focal plane imaging result under one viewing angle is synthesized; finally, the pixel extraction center of the imaging unit is transformed to synthesize two-dimensional images under multiple viewing angles, realizing a four-dimensional light field data construction;
4)利用光场数据采用数字重聚焦方法,生成高空间分辨率的重聚焦图像。4) A digital refocusing method is used using the light field data to generate a refocused image with high spatial resolution.
本发明的有益效果是:在不降低光场角度分辨率和通光量的同时,获得高空间分辨率光场数据,可以减少光场数据量,缓解存储压力,促进光场视频拍摄以及光场数据的网络存储和传播应用发展。The beneficial effects of the present invention are: without reducing the angular resolution of the light field and the amount of light passing through, the light field data with high spatial resolution can be obtained, the amount of light field data can be reduced, the storage pressure can be relieved, and the shooting of light field video and light field data can be promoted. The development of network storage and dissemination applications.
附图说明Description of drawings
图1为光场采集装置的光路示意图;1 is a schematic diagram of the optical path of the light field acquisition device;
图2为光场采集装置结构图;Fig. 2 is a structural diagram of the light field acquisition device;
图3为微透镜阵列物理参数示意图;Fig. 3 is a schematic diagram of the physical parameters of the microlens array;
图4为角度采样数的计算示意图,其中,(a)为角度采样数计算原理,(b)为正四边形排布的微透镜阵列成像记录范围,(c)为正六边形排布的微透镜阵列成像记录范围;Figure 4 is a schematic diagram of the calculation of the number of angle samples, where (a) is the calculation principle of the number of angle samples, (b) is the imaging and recording range of the microlens array arranged in a regular quadrilateral, and (c) is the microlens arranged in a regular hexagon Array imaging recording range;
图5为成像单元抽取和拼接方式示意图,其中,(a)为成像单元的拼接方法,(b)为正方形排布的抽取方式,(c)为正六边形排布的抽取方式;5 is a schematic diagram of the imaging unit extraction and splicing method, wherein (a) is the splicing method of the imaging unit, (b) is the extraction method of the square arrangement, and (c) is the extraction method of the regular hexagonal arrangement;
图6为高空间分辨率光场数据重建路线。Figure 6 shows the reconstruction route of high spatial resolution light field data.
具体实施方式Detailed ways
下面结合附图和实施例对本发明进一步说明,本发明包括但不仅限于下述实施例。The present invention will be further described below in conjunction with the accompanying drawings and embodiments, and the present invention includes but not limited to the following embodiments.
本发明提供一种微透镜阵列和随机卷积CMOS图像传感器结合的光场数据采集装置,包括:主透镜,用于使物方光束折射到相机内部;一个微透镜阵列,用于分离通过主透镜像平面光线的角度与位置信息;一个随机卷积CMOS图像感知传感器,用于采集编码压缩后的光场信号。The present invention provides a light field data acquisition device combining a microlens array and a random convolution CMOS image sensor, comprising: a main lens, used to refract the object beam into the camera; a microlens array, used to separate the The angle and position information of the light on the mirror plane; a random convolution CMOS image sensing sensor for collecting encoded and compressed light field signals.
本发明采集装置将一块微透镜阵列放置于主镜头与随机卷积CMOS图像传感器之间,微透镜阵列平行于图像传感器,并可将图像传感器的光敏面完全覆盖。The acquisition device of the present invention places a microlens array between the main lens and the random convolution CMOS image sensor, the microlens array is parallel to the image sensor, and can completely cover the photosensitive surface of the image sensor.
微透镜阵列放置于主镜头后方(靠近像方),并且与主镜头平面平行,使目标场景经过主镜头所呈的实像可由微透镜阵列再次汇聚后被图像传感器所记录。其中每个微透镜均可聚焦成像,且不同微透镜的成像区域在传感器平面互不重叠。The microlens array is placed behind the main lens (closer to the image side) and parallel to the plane of the main lens, so that the real image of the target scene passing through the main lens can be collected again by the microlens array and then recorded by the image sensor. Each microlens can be focused and imaged, and the imaging areas of different microlenses do not overlap each other on the sensor plane.
本发明采集装置中,微透镜阵列中微透镜的排布采用行列方式,包括但不仅限于相邻行微透镜光心对齐的正四边形和隔行微透镜光心对齐的正六边形排布。微透镜阵列的物理参数满足如下条件约束:单个微透镜的艾里斑直径不超过两倍图像传感器像元最短边的长度、单个微透镜的点列图范围不超过其艾里斑直径。In the collection device of the present invention, the microlenses in the microlens array are arranged in rows and columns, including but not limited to a regular quadrilateral arrangement in which the optical centers of the microlenses in adjacent rows are aligned and a regular hexagonal arrangement in which the optical centers of the microlenses in alternate rows are aligned. The physical parameters of the microlens array meet the following constraints: the diameter of the Airy disk of a single microlens is not more than twice the length of the shortest side of the image sensor pixel, and the spot diagram range of a single microlens does not exceed the diameter of its Airy disk.
本发明采集系统中,压缩编码传感器生成伪随机序列并将其与传感器像素相乘求和实现信号的压缩感知。具体的,本实施例中采用一种随机卷积图像传感器。本发明的压缩编码传感器包括但不仅限于这一种压缩传感器。传感器的物理分辨率为P*Q(传感器每行每列像素个数分别为P和Q)。首先初始化伪随机序列,其循环周期内的元素个数大于传感器像素数P*Q。然后将伪随机序列压入移位寄存器中,利用移位寄存器控制CMOS上逐像素执行随机卷积计算,然后利用行、列选择逻辑单元实现随机位置采样。最终得到压缩采样数据,其分辨率为M(0<M<P*Q)。结合随机卷积和降采样处理构造的测量矩阵需要满足RIP矩阵性质。光线的角度和位置信息在图像传感器上的排布具有耦合关系,基于随机卷积的压缩降采样处理,不破坏光场角度信息与位置信息的耦合性。In the acquisition system of the present invention, the compression coding sensor generates a pseudo-random sequence and multiplies it with the sensor pixels to realize the compressed sensing of the signal. Specifically, a random convolution image sensor is used in this embodiment. Compression-encoded sensors of the present invention include, but are not limited to, such a compression sensor. The physical resolution of the sensor is P*Q (the number of pixels in each row and column of the sensor is P and Q respectively). First initialize the pseudo-random sequence, the number of elements in its cycle is greater than the number of sensor pixels P*Q. Then press the pseudo-random sequence into the shift register, use the shift register to control the CMOS to perform random convolution calculation pixel by pixel, and then use the row and column selection logic unit to realize random position sampling. Finally, the compressed sampling data is obtained, and its resolution is M (0<M<P*Q). The measurement matrix constructed by combining random convolution and downsampling needs to satisfy the RIP matrix property. The arrangement of the light angle and position information on the image sensor has a coupling relationship, and the compression and downsampling processing based on random convolution does not destroy the coupling between the light field angle information and position information.
本发明采集系统各器件的排布模式(图1)为:微透镜阵列和随机卷积CMOS图像传感器位于主镜头的成像平面之后,即微透镜阵列、随机卷积CMOS图像传感器平面均垂直于主镜头光轴,并依次沿光轴方向分布。由于每个微透镜均聚焦成像,主镜头成像平面、微透镜阵列、随机卷积CMOS图像传感器三者的距离满足高斯成像公式,且微透镜光心所在平面到主镜头焦平面的矢量距离(物距)z>0,图像传感器光敏面到微透镜光心所在平面的距离(像距)g与单个微透镜的焦距f之间满足g>f。本发明的成像器件参数选择应依据式(1-1)的要求。The arrangement mode (Fig. 1) of each device of the acquisition system of the present invention is: the microlens array and the random convolution CMOS image sensor are located behind the imaging plane of the main lens, that is, the microlens array and the random convolution CMOS image sensor plane are all perpendicular to the main lens. The optical axis of the lens is distributed along the optical axis in turn. Since each microlens is focused and imaged, the distances between the imaging plane of the main lens, the microlens array, and the random convolution CMOS image sensor satisfy the Gaussian imaging formula, and the vector distance from the plane where the optical center of the microlens is to the focal plane of the main lens (object distance) z>0, the distance (image distance) g between the photosensitive surface of the image sensor and the plane where the optical center of the microlens is located and the focal length f of a single microlens satisfy g>f. The parameter selection of the imaging device of the present invention should be based on the requirements of formula (1-1).
D/(F+z+g)=d/g (1-1)D/(F+z+g)=d/g (1-1)
其中,F为主镜头焦距,D为主镜头通光孔径直径,d为微透镜直径。本发明微透镜阵列的参数选择应依据式(1-2)的要求。Among them, F is the focal length of the main lens, D is the diameter of the clear aperture of the main lens, and d is the diameter of the microlens. The parameter selection of the microlens array of the present invention should be based on the requirements of formula (1-2).
1/g+1/z=1/f (1-2)1/g+1/z=1/f (1-2)
本发明还提供一种基于压缩感知技术重建高空间分辨率光场的方法。主要环节包括:采集装置内参数标定,角度与位置信息耦合的高分辨率二维光场信号恢复,高空间分辨率四维光场数据构建,高空间分辨率光场图像重建。所述方法包含以下步骤:The invention also provides a method for reconstructing a light field with high spatial resolution based on compressed sensing technology. The main links include: parameter calibration of the acquisition device, high-resolution two-dimensional light field signal recovery coupled with angle and position information, high spatial resolution four-dimensional light field data construction, and high spatial resolution light field image reconstruction. Said method comprises the following steps:
S1、采集装置内参数标定。将成像装置中各部件的光学尺寸、各部件的位置信息在统一成像框架下进行参数化描述,构建基于最小化重投影误差的代价函数,并通过全局优化方法进行求解。S1. Calibration of internal parameters of the acquisition device. The optical size and position information of each component in the imaging device are parametrically described under a unified imaging framework, and a cost function based on minimizing the reprojection error is constructed and solved by a global optimization method.
S2、角度与位置信息耦合的高分辨率二维光场信号恢复。结合压缩感知理论,对压缩编码后的低分辨率二维光场信号进行超分辨率重建。包括基于相机参数的原始信号预处理,基于压缩感知理论的测量矩阵构造,基于全局最优方法的超分辨率光场二维信号重建。S2. High-resolution two-dimensional light field signal recovery coupled with angle and position information. Combined with the theory of compressed sensing, super-resolution reconstruction is performed on the compressed and encoded low-resolution two-dimensional light field signal. Including raw signal preprocessing based on camera parameters, measurement matrix construction based on compressed sensing theory, super-resolution light field two-dimensional signal reconstruction based on global optimal method.
S2.1、基于相机参数的原始信号预处理。首先根据成像装置内参的参数化模型,求取每个微透镜成像单元的中心坐标;然后提取经过压缩编码传感器压缩后的观测信号,对压缩图像进行旋转处理,使每行成像单元的中心坐标位于同一行像素上;最后对图像的扭曲形变做几何矫正,使观测信号与测量矩阵的对应关系保持一致。S2.1. Raw signal preprocessing based on camera parameters. Firstly, according to the parameterized model of the internal parameters of the imaging device, the center coordinates of each microlens imaging unit are obtained; then the observation signal compressed by the compression coding sensor is extracted, and the compressed image is rotated so that the center coordinates of each row of imaging units are located at On the same row of pixels; finally, the geometric correction is made to the distortion of the image, so that the corresponding relationship between the observed signal and the measurement matrix is consistent.
S2.2、基于压缩感知理论的测量矩阵构造。提取作用于随机编码的伪随机序列,根据图像传感器压缩编码的工作原理,结合伪随机序列构造压缩感知中的测量矩阵。本发明中构造的测量矩阵包括但不仅限于高斯随机矩阵、伯努利矩阵、均匀分布矩阵等适合于硬件实现的压缩感知测量矩阵。S2.2. Construction of measurement matrix based on compressive sensing theory. The pseudo-random sequence that acts on the random code is extracted, and according to the working principle of image sensor compression coding, the measurement matrix in compressed sensing is constructed by combining the pseudo-random sequence. The measurement matrix constructed in the present invention includes but not limited to Gaussian random matrix, Bernoulli matrix, uniform distribution matrix and other compressed sensing measurement matrices suitable for hardware implementation.
S2.3、角度与位置信息耦合的超分辨率光场二维信号重建。超分辨率光场二维信号的重建可以采用BP(Basis Pursuit)方法、BPDN(Basis Pursuit De-Noising)方法、TV(Total Variation)方法等压缩感知重建算法,根据测量矩阵的设计构造最优的压缩感知重建方法,利用观测信号和测量矩阵重建超分辨率光场二维信号。S2.3. Two-dimensional signal reconstruction of super-resolution light field coupled with angle and position information. The reconstruction of super-resolution light field two-dimensional signal can use compressed sensing reconstruction algorithms such as BP (Basis Pursuit) method, BPDN (Basis Pursuit De-Noising) method, TV (Total Variation) method, and construct the optimal A compressed sensing reconstruction method uses observation signals and measurement matrices to reconstruct super-resolution light field two-dimensional signals.
S3、高空间分辨率四维光场数据构建。首先依据相机参数化模型计算角度采样数;然后根据二维光场信号中角度信息与位置信息的耦合关系,计算出焦平面处每个微透镜像元提供的空间分辨率大小,并从每个成像单元的相同位置抽取相同大小的像素块进行拼接,合成一个视角下的焦平面成像结果;最后变换单元成像的像素抽取中心,即可合成多个视角下的二维图像,实现四维光场数据构建。S3. Construction of high spatial resolution 4D light field data. First, the number of angle samples is calculated according to the camera parameterization model; then, according to the coupling relationship between angle information and position information in the two-dimensional light field signal, the spatial resolution provided by each microlens pixel at the focal plane is calculated, and from each Pixel blocks of the same size are extracted from the same position of the imaging unit for splicing to synthesize the focal plane imaging result under one viewing angle; finally, the pixel extraction center of the imaging unit is transformed to synthesize two-dimensional images under multiple viewing angles to realize four-dimensional light field data Construct.
S4、高空间分辨率光场图像重建。利用光场数据采用数字重聚焦方法,生成高空间分辨率的重聚焦图像。S4. High spatial resolution light field image reconstruction. A digital refocusing method is employed using light field data to generate refocused images with high spatial resolution.
本发明实施例提供的基于压缩编码传感器的高空间分辨率光场采集装置包括三个部分,如图1所示,一只主透镜101,一块微透镜阵列103,本实施例中压缩编码传感器采用一个随机卷积CMOS传感器104(图2)。光路示意图如图1所示,场景光线经过主透镜101折射后聚焦在主透镜像平面102,穿过像平面的光线开始分离,经过微透镜阵列103中的小透镜折射,汇聚在图像传感器104上。The high spatial resolution light field acquisition device based on the compression coding sensor provided by the embodiment of the present invention includes three parts, as shown in Figure 1, a main lens 101, and a microlens array 103. In this embodiment, the compression coding sensor adopts A random convolution CMOS sensor 104 (FIG. 2). The schematic diagram of the optical path is shown in Figure 1. The scene light is refracted by the main lens 101 and then focused on the image plane 102 of the main lens. The light passing through the image plane begins to separate, refracts through the small lenses in the microlens array 103, and converges on the image sensor 104. .
具体的,微透镜阵列102如图3所示,采用正六边形排布,单个微透镜201的直径d为0.3mm,焦距为2.726mm,为平凸透镜。微透镜阵列103将随机卷积图像传感器104光敏面完全覆盖,由水平方向不少于120个、垂直方向不少于92个微透镜以正六边形排布而成。随机卷积CMOS图像传感器104与微透镜阵列的距离g满足公式(1-1)。随机卷积CMOS被动像素传感器是一个标准的P*Q二进制阵列,传感器单像素的有效面积为30μm*30μm。每个像素包含的光电二极管最大电流是200μA。Specifically, as shown in FIG. 3 , the microlens array 102 is arranged in a regular hexagon. A single microlens 201 has a diameter d of 0.3 mm and a focal length of 2.726 mm, and is a plano-convex lens. The microlens array 103 completely covers the photosensitive surface of the random convolution image sensor 104, and consists of no less than 120 microlenses in the horizontal direction and no less than 92 microlenses in the vertical direction arranged in a regular hexagon. The distance g between the random convolution CMOS image sensor 104 and the microlens array satisfies formula (1-1). The random convolution CMOS passive pixel sensor is a standard P*Q binary array, and the effective area of a single pixel of the sensor is 30μm*30μm. Each pixel contains a photodiode with a maximum current of 200µA.
本发明提出的高空间分辨率光场获取方法,参照图6所示,包括以下步骤:The high spatial resolution light field acquisition method proposed by the present invention, as shown in Figure 6, includes the following steps:
S1、采集装置内参数标定。本发明将各部件的光学尺寸、位置信息在统一的成像框架下进行参数化描述,结合光场双平面模型,采用满足光场离散采样与连续表达映射关系的内参数标定方法进行标定。标定过程中采集装置变换N个姿态,标定板上可提取nc个特征。采用最小化误差公式(1-3)求解内参矩阵H、相机姿态T和畸变参数d。S1. Calibration of internal parameters of the acquisition device. The present invention parametrically describes the optical size and position information of each component under a unified imaging framework, combines the light field biplane model, and adopts an internal parameter calibration method that satisfies the mapping relationship between discrete sampling and continuous expression of the light field for calibration. During the calibration process, the acquisition device transforms N postures, and n c features can be extracted on the calibration board. Use the minimized error formula (1-3) to solve the internal parameter matrix H, camera attitude T and distortion parameter d.
其中||·||pt-ray为光线的重投影误差,即解码光线与标定板先验点间的误差,为重投影光线,Tn为每个姿态下的相机外参,Pc为标定板的先验点,c取值从1到nc,n取值从1到N,s取值从1到P,t取值从1到Q。Where ||·|| pt-ray is the reprojection error of the ray, that is, the error between the decoded ray and the prior point of the calibration plate, is the reprojection ray, T n is the camera extrinsic parameter in each pose, P c is the prior point of the calibration board, c takes a value from 1 to n c , n takes a value from 1 to N, and s takes a value from 1 to P, t take values from 1 to Q.
S2.角度与位置信息耦合的高分辨率二维光场信号恢复。本实施例中采用随机卷积传感器对原始信号做压缩编码;然后利用相机参数对压缩信号进行预处理;最后根据随机卷积传感器的工作原理构造测量矩阵Φ,利用观测信号y和测量矩阵Φ重建超分辨率光场二维信号。S2. High-resolution two-dimensional light field signal recovery coupled with angle and position information. In this embodiment, the random convolution sensor is used to compress and encode the original signal; then the compressed signal is preprocessed using camera parameters; finally, the measurement matrix Φ is constructed according to the working principle of the random convolution sensor, and the observation signal y and the measurement matrix Φ are used to reconstruct Super-resolution of light-field 2D signals.
S2.1基于相机参数的原始信号预处理。根据成像装置内参的参数化模型,求取每个微透镜成像单元的中心坐标,对原始信号做几何矫正,使观测信号与测量矩阵的对应关系保持一致。S2.1 Raw signal preprocessing based on camera parameters. According to the parametric model of the internal parameters of the imaging device, the center coordinates of each microlens imaging unit are obtained, and the geometric correction is made to the original signal, so that the corresponding relationship between the observed signal and the measurement matrix is consistent.
进一步地,对于求取微透镜成像单元的中心坐标。首先拍摄一张白曝光的图像;然后利用类间方差最大算法,将白曝光图进行二值化处理;最后利用区域生长算法,分割成像单元,求取每个单元的平均中心坐标(公式1-4)。Further, for calculating the central coordinates of the microlens imaging unit. First, take a white-exposed image; then use the maximum variance algorithm between classes to binarize the white-exposure image; finally use the region growing algorithm to segment the imaging unit, and obtain the average center coordinates of each unit (Formula 1- 4).
其中ci为一个成像单元的中心坐标,(xi,j,yi,j)为二值化图中处于一个成像单元中的点,mc为一个成像单元中像素点个数,j的取值从1到mc。Where c i is the center coordinate of an imaging unit, (xi ,j ,y i,j ) is a point in an imaging unit in the binarization map, m c is the number of pixels in an imaging unit, j's Takes values from 1 to m c .
进一步地,对于原始信号的几何矫正。首先提取经过压缩编码传感器压缩后的观测信号y;然后提取每个成像单元的中心坐标,利用最小二乘法计算每行单元中心的斜率,取均值;接着对原始数据y进行旋转操作,使每行单元成像的中心坐标基本位于同一行像素上;最后对图像的扭曲切变等形变做几何矫正,并对边缘成像单元做去除渐晕处理。Further, geometric correction of the original signal. First extract the observation signal y compressed by the compression coding sensor; then extract the center coordinates of each imaging unit, use the least square method to calculate the slope of the center of each row of units, and take the average value; then rotate the original data y to make each row The center coordinates of unit imaging are basically located on the same row of pixels; finally, geometric correction is made to the deformation of the image such as distortion and shear, and vignetting is removed for the edge imaging unit.
S2.2基于压缩感知理论的测量矩阵构造。本实施例采用随机卷机传感器对光场信号做压缩编码处理。因此压缩前的信号x∈RPQ*1,通过随机卷积滤波器a处理后的表达式如公式1-5所示。S2.2 Construction of measurement matrix based on compressive sensing theory. In this embodiment, the random winding sensor is used to compress and encode the light field signal. Therefore, the expression of the uncompressed signal x∈RPQ*1 after being processed by the random convolution filter a is shown in formula 1-5.
其中r(i)∈{1,...,M},i取值从1到M,j取值从1到P*Q,r(i)取值在区间内随机选择,Φ是由随机卷积滤波器a构成的测量矩阵。在本实施例中,滤波器a取值选取为±1,测量矩阵Φ的形式如下所示。因此测量矩阵是取值为±1的伯努利矩阵,满足RIP矩阵性质,可用于压缩感知的重建。Where r(i)∈{1,...,M}, i ranges from 1 to M, j ranges from 1 to P*Q, the value of r(i) is randomly selected in the interval, Φ is determined by random The measurement matrix formed by the convolution filter a. In this embodiment, the value of the filter a is selected as ±1, and the form of the measurement matrix Φ is as follows. Therefore, the measurement matrix is a Bernoulli matrix with a value of ±1, which satisfies the property of the RIP matrix and can be used for compressed sensing reconstruction.
S2.3、全局最优的超分辨率光场二维信号重建方法。本实施例中采用L1范数结合Total Variation的重建算法。将观测信号y和测量矩阵Φ作为输入,利用公式(1-7)所示的方法重建二维超分辨率的光场信号。其中||·||TV为梯度算子,ε为噪声误差。S2.3. A globally optimal super-resolution light field two-dimensional signal reconstruction method. In this embodiment, a reconstruction algorithm combining L1 norm and Total Variation is used. Taking the observation signal y and the measurement matrix Φ as input, the two-dimensional super-resolution light field signal is reconstructed using the method shown in formula (1-7). Where ||·|| TV is the gradient operator, ε is the noise error.
S3、高空间分辨率四维光场数据构建。本实施例根据二维信号中角度与位置信息的耦合关系,通过抽取、拼接成像单元中的像素块,获取一个视角下光场在聚焦面上的二维成像。改变单元成像的像素抽取中心,可获取聚焦面上的多视角图像,从而解码得到四维光场数据。而像素块的大小与角度采样数相关。S3. Construction of high spatial resolution 4D light field data. In this embodiment, according to the coupling relationship between the angle and the position information in the two-dimensional signal, by extracting and splicing the pixel blocks in the imaging unit, two-dimensional imaging of the light field on the focal plane under one viewing angle is obtained. By changing the pixel extraction center of unit imaging, multi-view images on the focal plane can be obtained, and thus four-dimensional light field data can be decoded. The size of the pixel block is related to the number of angle samples.
进一步地,对于计算角度采样数m。角度采样数m与图像传感器光敏面到微透镜阵列中心的距离g、微透镜阵列中心到主镜头焦平面的距离z有关(图4),且与|z|/g成正比,则角度采样数m如公式1-7所示。Further, for calculating the angle sampling number m. The angle sampling number m is related to the distance g from the photosensitive surface of the image sensor to the center of the microlens array, and the distance z from the center of the microlens array to the focal plane of the main lens (Figure 4), and is proportional to |z|/g, then the angle sampling number m is shown in formula 1-7.
m=k×|z|/g (1-8)m=k×|z|/g (1-8)
其中k与微透镜的排布、间隔、微透镜后方成像区域大小有关。本发明中微透镜阵列采用正六边形排布,因此图4(a)为角度采样数计算原理,图4(b)为正四边形排布的微透镜阵列成像记录范围,图4(c)为正六边形排布的微透镜阵列成像记录范围。其中r为一个微透镜后方成像的半径。Among them, k is related to the arrangement and spacing of the microlenses, and the size of the imaging area behind the microlenses. In the present invention, the microlens array is arranged in a regular hexagon, so Figure 4(a) is the calculation principle of the angle sampling number, Figure 4(b) is the imaging and recording range of the microlens array arranged in a regular quadrilateral, and Figure 4(c) is the imaging and recording range of the microlens array arranged in a regular hexagon. Where r is the radius of the rear image of a microlens.
进一步地,对于抽取、拼接成像单元中的像素块。对每幅成像单元,截取距离中心相同距离d/m大小的像素块,按照成像单元的排布方式拼接。图像的拼接和抽取原理如图5所示,(a)为成像单元的拼接方法,(b)为正方形排布的抽取方式,(c)为正六边形排布的抽取方式。Further, for extracting and splicing the pixel blocks in the imaging unit. For each imaging unit, intercept pixel blocks with the same distance d/m from the center, and stitch them together according to the arrangement of the imaging units. The principles of image splicing and extraction are shown in Figure 5, (a) is the splicing method of imaging units, (b) is the extraction method of square arrangement, and (c) is the extraction method of regular hexagonal arrangement.
S4、高空间分辨率光场图像重建。利用光场数据结合数字重聚焦方法,生成高空间分辨率的重聚焦图像。然后采用高斯滤波器减轻拼接导致的边缘效应。S4. High spatial resolution light field image reconstruction. Using light field data combined with a digital refocusing method, a refocused image with high spatial resolution is generated. Gaussian filters are then used to mitigate edge effects caused by splicing.
进一步地,对于数字重聚焦方法。根据场景的聚焦深度,计算聚焦点与微透镜阵列之间的距离z。结合公式(1-7)计算出抽取像素块的大小。采用S3中抽取、拼接成像单元中的像素块的方法,合成渲染平面处的成像结果。Further, for the digital refocusing method. According to the depth of focus of the scene, the distance z between the focus point and the microlens array is calculated. Combining formula (1-7) to calculate the size of the extracted pixel block. Using the method of extracting and splicing the pixel blocks in the imaging unit in S3, the imaging result at the rendering plane is synthesized.
进一步地,对于高斯滤波处理。为减轻拼接产生的边缘效应,利用一个[d/m]×[d/m]大小、均值为6的高斯滤波器对整幅图像进行二维卷积处理,抑制拼接带来的不平滑效果。Further, for Gaussian filtering processing. In order to reduce the edge effect caused by splicing, a Gaussian filter with a size of [d/m]×[d/m] and an average value of 6 is used to perform two-dimensional convolution processing on the entire image to suppress the non-smooth effect caused by splicing.
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