Singular Value Decomposition For Image Coding

Harry C. Andrews

doi:10.1117/12.965358

30 October 1975 Singular Value Decomposition For Image Coding

Harry C. Andrews

Proceedings Volume 0066, Efficient Transmission of Pictorial Information; (1975) https://doi.org/10.1117/12.965358
Event: 19th Annual Technical Symposium, 1975, San Diego, United States

Abstract

The numerical algorithm known as singular value decomposition [1] has been applied to image processing with interesting consequences [2 ]. Initially the algorithm was used to effect a pseudoinverse restoration [3 ] for better object estimation from degraded imagery. However the singular value decomposition (SVD) technique can also be effectively utilized in image compression problems when large compression ratios are desired. This Abstract refers to some experimental work developed at The Aerospace Corporation in which imagery has been compressed using SVD methods. Pictorial and computational results indicate that 8 bit imagery can be compressed to 2 bits with 0. 5% mean square error while the same imagery can be compressed to 1/2 bit with 1. 5% mean square error. These results will be presented along with various algorithms which make use of the SVD domain of an image for subsequent image compaction.

Citation Download Citation

Harry C. Andrews "Singular Value Decomposition For Image Coding", Proc. SPIE 0066, Efficient Transmission of Pictorial Information, (30 October 1975); https://doi.org/10.1117/12.965358

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