Bifurcation of segment edge curves in scale space

Authors:
Tomoya Sakai;Haruhiko Nishiguchi;Hayato Itoh;Atsushi Imiya
Affiliations:
Department of Computer and Information Sciences, Nagasaki University, Nagsaki, Japan;School of Science and Technology, Chiba University, Japan;School of Advanced Integration Sciences, Chiba University, Japan;Institute of Media and Information Technology, Chiba University, Chiba, Japan
Venue:
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Year:
2011

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Abstract

In this paper, we aim to develop a criterion to select scale parameters, which control pre-smoothing for edge detection. We first formalise the Canny edge detector which extracts the zeros of bilinear form of the first- and the second-order derivatives of image intensity. Then, we show the bifurcation property of the edge curves at the singular points in the linear scale space. Finally using the scale space hierarchy of the singular point, we derive a criterion to select scale parameters for edge detection.