Quantization of color spaces and processing of color images by fibonacci lattices

Aleksandra Mojsilovic, Emina Soljanin

Research output: Contribution to journalConference article

Abstract

Methods for processing gray scale images cannot be simply extended to color images because they rely on the fact that each gray level is described by a single number and the fact that a relation of full order can be easily established on the set of those numbers. Color spaces (such as RGB or Lab) are on the other hand three dimensional. To make them more amenable to the type of processing used for one-dimensional gray level pictures, we propose a particular space sampling and numbering of sampled points. The sampling scheme provides a uniform quantization of the Euclidean Lab space, and a way to establish a partial order relation on the set of points. The idea is based on several results from number theory and phyllotaxy. We illustrate possible processing of color images by first introducing the basic average and difference operations and then implementing edge detection and compression of color quantized images.

Original languageEnglish (US)
Pages (from-to)345-355
Number of pages11
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume3959
StatePublished - Jan 1 2000
Externally publishedYes
EventHuman Vision and Electronic Imaging - San Jose, CA, USA
Duration: Jan 24 2000Jan 27 2000

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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