Linear discrete image transforms

Image processing and analysis based on continuous or discrete image transforms is a classic processing technique. Image transforms are widely used in image filtering, image data compression, image description, etc.; they were actively studied at the end of the Sixties and in the beginning of the Seventies. This research was highly motivated by space flight achievements; first, an efficient method of image data transmission was needed, and second, transmitted images were often received locally or globally corrupted. Both analogue and discrete methods were investigated — analogue optical methods suffered from a lack of suitable high-resolution storage material, and the rapid development of digital computer technology slowed analogue research in the middle of the Seventies. However, much research is now being devoted to optical methods again, especially with new technological achievements in developing high-resolution optical storage materials. The main focus is in possible real-time image processing.

[1]  George Wolberg,et al.  Digital image warping , 1990 .

[2]  Thomas S. Huang,et al.  Two-Dimensional Digital Signal Processing I , 1981 .

[3]  A. R. Shulman,et al.  Optical Data Processing , 1970 .

[4]  Henry Stark,et al.  Applications of Optical Fourier Transforms , 1982 .

[5]  Maurice Françon Optical image formation and processing , 1979 .

[6]  Kenneth L. Caspari,et al.  Computer techniques in image processing , 1972 .

[7]  R.H.T. Bates,et al.  Image Restoration and Construction , 1986 .

[8]  H. Nussbaumer Fast Fourier transform and convolution algorithms , 1981 .

[9]  Edward R. Dougherty,et al.  Image processing : continuous to discrete , 1987 .

[10]  Dan E. Dudgeon,et al.  Multidimensional Digital Signal Processing , 1983 .

[11]  Leonid P. Yaroslavsky,et al.  Digital Picture Processing , 1985 .

[12]  T. Pavlidis Algorithms for Graphics and Image Processing , 1981, Springer Berlin Heidelberg.

[13]  Anil K. Jain Fundamentals of Digital Image Processing , 2018, Control of Color Imaging Systems.

[14]  K. R. Rao,et al.  Orthogonal Transforms for Digital Signal Processing , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[15]  P. Yip,et al.  Discrete Cosine Transform: Algorithms, Advantages, Applications , 1990 .

[16]  Ernest L. Hall,et al.  Computer Image Processing and Recognition , 1980, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[17]  Jorge L. C. Sanz,et al.  Radon and projection transform-based computer vision , 1988 .

[18]  Jae S. Lim,et al.  Two-Dimensional Signal and Image Processing , 1989 .

[19]  B. R. Hunt,et al.  Digital Image Restoration , 1977 .

[20]  Leonid P. Yaroslavsky,et al.  Digital Picture Processing: An Introduction , 1985 .