应用光学, 2018, 39 (1): 40, 网络出版: 2018-03-15  

基于成像矩阵的物数据求解方法

Solving method of object data based on imaging matrix
作者单位
哈尔滨工业大学 航天学院, 哈尔滨 150001
摘要
提出了一种利用成像矩阵求解物数据的方法。通过对物、像矩阵的一维化处理,构建了二维成像矩阵,将物矩阵卷积点扩散函数矩阵得到像矩阵的卷积运算关系转变为物向量乘以成像矩阵进而得到像向量的乘积运算关系。最后将像向量乘以成像逆矩阵便可求解物向量,实现了从光学系统像数据中对物数据的精确求解,且计算误差为10-12量级。
Abstract
A method for solving object data based on imaging matrix is proposed. Through one-dimensional processing of the object and image matrixes,a two-dimensional imaging matrix is constructed.Thus,the operation rules of image matrix by convolution of object matrix and point spread function matrix were transformed into the image vector by one of the product of object vector and imaging matrix.Finally,the image vector is obtained by multiplying the vector by the inverse matrix,precise solution of the object data from the image data of optical system is realized and the calculation error can reach the order of 10-12.

任智斌, 胡佳盛, 唐洪浪, 金鑫. 基于成像矩阵的物数据求解方法[J]. 应用光学, 2018, 39(1): 40. Ren Zhibin, Hu Jiasheng, Tang Honglang, Jin Xin. Solving method of object data based on imaging matrix[J]. Journal of Applied Optics, 2018, 39(1): 40.

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