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Bifurcation of Segment Edge Curves in Scale Space

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article 01 Jan 2012Publisher:Springer Berlin Heidelberg

Authors: Atsushi Imiya; Hayato Itoh; Haruhiko Nishiguchi; Tomoya Sakai;

doi: 10.1007/978-3-642-24785-9_26

Bifurcation of Segment Edge Curves in Scale Space

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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.

Related Organizations

Chiba University
Japan
Nagasaki University
Japan

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