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Fuzzy color model and clustering algorithm for color clustering problem

Dae-Won Kim, Kwang H. Lee

TL;DR

The proposed fuzzy color model defined a three dimensional fuzzy color ball and color membership computation method with two inter-color distances to develop a new fuzzy clustering algorithm for an efficient partition of color data.

Abstract

The research interest of this paper is focused on the efficient clustering task for an arbitrary color data. In order to tackle this problem, we have tried to model the inherent uncertainty and vagueness of color data using fuzzy color model. By taking fuzzy approach to color modeling, we could make a soft decision for the vague regions between neighboring colors. The proposed fuzzy color model defined a three dimensional fuzzy color ball and color membership computation method with two inter-color distances. With the fuzzy color model, we developed a new fuzzy clustering algorithm for an efficient partition of color data. Each fuzzy cluster set has a cluster prototype which is represented by fuzzy color centroid.

Fuzzy color model and clustering algorithm for color clustering problem

TL;DR

The proposed fuzzy color model defined a three dimensional fuzzy color ball and color membership computation method with two inter-color distances to develop a new fuzzy clustering algorithm for an efficient partition of color data.

Abstract

The research interest of this paper is focused on the efficient clustering task for an arbitrary color data. In order to tackle this problem, we have tried to model the inherent uncertainty and vagueness of color data using fuzzy color model. By taking fuzzy approach to color modeling, we could make a soft decision for the vague regions between neighboring colors. The proposed fuzzy color model defined a three dimensional fuzzy color ball and color membership computation method with two inter-color distances. With the fuzzy color model, we developed a new fuzzy clustering algorithm for an efficient partition of color data. Each fuzzy cluster set has a cluster prototype which is represented by fuzzy color centroid.
Paper Structure (28 sections, 23 equations, 8 figures)

This paper contains 28 sections, 23 equations, 8 figures.

Table of Contents

  1. I. Introduction
  2. II. Literature Review
  3. III. Proposed Fuzzy Color Model
  4. IV. Fuzzy Clustering Algorithm based on Fuzzy Color Model
  5. V. Concluding Remarks

Figures (8)

  • Figure 1: A Fuzzy color ball on CIELAB color space
  • Figure 2: Fuzzy color ball and its membership shape
  • Figure 3: Membership computation among fuzzy colors
  • Figure 4: Distance between color elements (a) and distance between a fuzzy color and a color element (b)
  • Figure 5: Distance computation of fuzzy colors with different JND value
  • ...and 3 more figures

Theorems & Definitions (3)

  • Definition 1
  • Definition 2
  • Definition 3