论文信息 - On the Scale-Space Theorem of Chen and Yan

On the Scale-Space Theorem of Chen and Yan

Chen and Yan presented (ibid., vol.11, p.694-700, 1989) a theorem concerning zero crossings of boundary curvature under morphological openings. In this correspondence, we show by means of a counterexample a flaw in this theorem and suggest how the theorem may be modified to make it correct.

Paul T. Jackway | P. Jackway

[1] Andrew P. Witkin,et al. Scale-Space Filtering , 1983, IJCAI.

[2] M.-H. Chen,et al. A Multiscanning Approach Based on Morphological Filtering , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[3] Peter F. M. Nacken. Openings Can Introduce Zero Crossings in Boundary Curvature , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[4] Andrew P. Witkin,et al. Scale-space filtering: A new approach to multi-scale description , 1984, ICASSP.

[5] P. Jackway,et al. Morphological scale-space with application to three-dimensional object recognition , 1995 .

[6] Jean Serra,et al. Image Analysis and Mathematical Morphology , 1983 .

[7] Arnold W. M. Smeulders,et al. The Morphological Structure of Images: The Differential Equations of Morphological Scale-Space , 1994, IEEE Trans. Pattern Anal. Mach. Intell..