Mappings on abstract cellular complex and their applications in image analysis

Abstract

The notion of Abstract Cellular Complex, which was initiated by Kovalevsky, is a consistent topology for representing images through lower-dimensional cells in the combinatorial grid. This paper introduces the concept of subspace topology in Abstract Cellular Complex and also characterizes it using the lower-dimensional cells. Further, the paper initiates the modified Chain Code algorithm and implements it in the various images and the results thus obtained are compared with the other existing methods.

Keywords:

• Combinatorial grid
• conversion mapping
• inversion mapping
• modified chain code algorithm

AMS Classifications:

• 54A05
• 54C05
• 54E99
• 57N60

Disclosure statement

No potential conflict of interest was reported by the author(s).