Fractal Image Coding as Projections Onto Convex Sets | Zendy

Mehran Ebrahimi | Zendy; Edward R. Vrscay | Zendy

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Fractal Image Coding as Projections Onto Convex Sets

Author(s) -

Mehran Ebrahimi,

Edward R. Vrscay

Publication year - 2006

Publication title -

lecture notes in computer science

Language(s) - English

Resource type - Book series

SCImago Journal Rank - 0.249

H-Index - 400

eISSN - 1611-3349

pISSN - 0302-9743

ISBN - 3-540-44891-8

DOI - 10.1007/11867586_46

Subject(s) - fractal , regular polygon , computer science , fractal transform , decoding methods , image (mathematics) , coding (social sciences) , fractal compression , algorithm , fractal analysis , image processing , artificial intelligence , computer vision , theoretical computer science , mathematics , image compression , fractal dimension , geometry , mathematical analysis , statistics

We show how fractal image coding can be viewed and generalized in terms of the method of projections onto convex sets (POCS). In this approach, the fractal code defines a set of spatial domain similarity constraints. We also show how such a reformulation in terms of POCS allows additional contraints to be imposed during fractal image decoding. Two applications are presented: image construction with an incomplete fractal code and image denoising.

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