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A Discrete Framework for Fractal Signal Modeling

In: Fractal Image Compression

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  • L. Lundheim

Abstract

In this chapter we present a description, used in the following three chapters, of fractal signal modeling in a discrete domain setting using linear algebra. We derive Collage Theorems, and we show how the contractivity factors of a certain class of affine operators are derived. A least squares approach for finding the optimal collage is outlined for a broad class of non-linear operators, including the affine case.

Suggested Citation

  • L. Lundheim, 1995. "A Discrete Framework for Fractal Signal Modeling," Springer Books, in: Yuval Fisher (ed.), Fractal Image Compression, chapter 0, pages 137-151, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2472-3_7
    DOI: 10.1007/978-1-4612-2472-3_7
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