论文信息 - Image Representation Via a Finite Radon Transform

Image Representation Via a Finite Radon Transform

A model of finite Radon transforms composed of Radon projections is presented. The model generalizes to finite group projections in the classical Radon transform theory. The Radon projector averages a function on a group over cosets of a subgroup. Reconstruction formulae that were formally similar to the convolved backprojection ones are derived, and an iterative reconstruction technique is found to converge after a finite number of steps. Applying these results to the group Z/sub 2//sup P/, new computationally favorable image representations have been obtained. A numerical study of the transform coding aspects is attached. >

Jan Flusser | Frantisek Matús | F. Matús | J. Flusser

[1] C. Curtis,et al. Representation theory of finite groups and associated algebras , 1962 .

[2] Ethan D. Bolker,et al. The finite Radon transform , 1987 .

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

[4] F. Keinert,et al. Inversion of k-Plane Transforms and Applications in Computer Tomog , 1989, SIAM Rev..

[5] Robert S. Strichartz,et al. RADON INVERSION-VARIATIONS ON A THEME , 1982 .

[6] Ronald L. Graham,et al. The Radon transform on $Z^k_2$. , 1985 .

[7] S. Helgason. The Radon Transform , 1980 .

[8] Joseph P. S. Kung,et al. Reconstructing finite radon transforms , 1988 .

[9] H. Enomoto,et al. Orthogonal Transform Coding System for Television Signals , 1971 .

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

[11] Gabor T. Herman,et al. Image Reconstruction From Projections , 1975, Real Time Imaging.

[12] Frantisek Matús. Discrete marginal problem for complex measures , 1988, Kybernetika.

[13] Anil K. Jain,et al. Image data compression: A review , 1981, Proceedings of the IEEE.

[14] Ronald L. Graham,et al. THE RADON TRANSFORM ON Z , 1985 .

[15] Wen-Hsiung Chen,et al. Slant Transform Image Coding , 1974, IEEE Trans. Commun..

[16] Jorge L. C. Sanz,et al. Radon and Projection Transform-Based Computer Vision: Algorithms, A Pipeline Architecture, and Industrial Applications , 1988 .