Title :
Fuzzy image processing with topological theory
Author :
Kawahara, Kazuyoshi ; Miyazaki, Takashi ; Shidama, Yasunari ; Yamaura, Hiroo ; Miyao, Hiidetoshi
Author_Institution :
Shinshu Univ., Nagano, Japan
Abstract :
We extend the theory of finite topology that we constructed before to a fuzzy topological space by using fuzzy sets. Gray-scale images can be processed based on this fuzzy topology and color images can be processed by regarding the color image as multi-dimensional gray-scale images. We aim to construct a theory for systematic image processing by examining methods of image processing with fuzzy topology. We believe these theories will help organize and provide a theoretical foundation for image processing techniques.
Keywords :
fuzzy set theory; image colour analysis; topology; color images; finite topology; fuzzy image processing; fuzzy sets; fuzzy topological space; multi-dimensional gray-scale images; systematic image processing; topological theory; Color; Educational institutions; Fuzzy set theory; Fuzzy sets; Gray-scale; Image processing; Pattern recognition; Space technology; Testing; Topology;
Conference_Titel :
TENCON '97. IEEE Region 10 Annual Conference. Speech and Image Technologies for Computing and Telecommunications., Proceedings of IEEE
Conference_Location :
Brisbane, Qld., Australia
Print_ISBN :
0-7803-4365-4
DOI :
10.1109/TENCON.1997.647324
