Projection-generated Fourier descriptors that are robust with respect to both random point noise and occlusion

Edward R. Dougherty; Robert P. Loce

doi:10.1117/12.23520

1 November 1990 Projection-generated Fourier descriptors that are robust with respect to both random point noise and occlusion

Edward R. Dougherty, Robert P. Loce

Author Affiliations +

Proceedings Volume 1349, Applications of Digital Image Processing XIII; (1990) https://doi.org/10.1117/12.23520
Event: 34th Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1990, San Diego, CA, United States

Abstract

By generating Fourier descriptors based upon the waveform induced by a pattern''s projection a number ofclassic difficulties with the Fourier-descriptor methodology are mitigated. Not only are the descriptors invariant with respect to scale translation and rotation (as is usually the case) they are also continuous in the Hausdorff metric and robust with respect to both point noise and occlusion insensitivity with respect to minimum occlusions being perhaps their most significant advantage. Continuity in the Hausdorif metric allows prediction of the effect on the descriptors when morphologically filtering a pattern. The effect of occlusion is also predictable. An additional advantage is that they can be computed relative to a thresholded image without first finding an edge thereby avoiding the difficulties typically present in thinning and orientation determination.

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Edward R. Dougherty and Robert P. Loce "Projection-generated Fourier descriptors that are robust with respect to both random point noise and occlusion", Proc. SPIE 1349, Applications of Digital Image Processing XIII, (1 November 1990); https://doi.org/10.1117/12.23520

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