1996•Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIERequires access

Edge detection based on scale fractal dimension

Donghui Xue, Yaoting Zhu, Guangxi Zhu, Zhengbing Zhang, Yan Xiong

Abstract

In this paper we propose a new concept of scale fractal dimension for the fractal characterization. We point out that scale fractal dimension can supply more information and give a more accurate description for fractal in nature than the usual used fractal dimension dose. The variation of scale fractal dimension for different kinds of images is analyzed and a new metric based on scale fractal dimension for edge detection is defined. After that, the algorithm for edge detection based on scale fractal dimension is given and its performances for edge detection are discussed.

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Available abstract

Key concepts: Fractal dimension, Fractal, Fractal dimension on networks, Fractal analysis, Dimension (graph theory), Scale (ratio), Mathematics, Metric (unit)