Geometrical measures of the similarity of gray-scale images

Valery V. Starovoitov

doi:10.1117/12.216415

11 August 1995 Geometrical measures of the similarity of gray-scale images

Valery V. Starovoitov

Proceedings Volume 2573, Vision Geometry IV; (1995) https://doi.org/10.1117/12.216415
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

There are papers describing measures of correspondence or similarity between two binary images or their parts, but only two papers suggest a measure for a comparison of objects of two grey-scale images. However, there are numerous applications of a measure for grey-scale images as whole entities. A useful application is the comparison of different algorithms devoted to the same task (edge detection, thresholding, image enhancement, segmentation and image reconstruction). This paper proposes some results to define such a measure. They are based on two different representations of grey-scale images: as `surfaces' and as `stacks' or umbra. We study an adaptation of some known formulas used for binary images to grey-scale images, and present a geometrical variant of such a measurement. We study different measures of diversity, based on different digital metrics, direct calculations of distances, and digital functions adapted to grey-scale images. We show that the `stack' representation needs more calculation time and that measures based on the representation are not sensitive to small image shifts, but very sensitive to noise.

Citation Download Citation

Valery V. Starovoitov "Geometrical measures of the similarity of gray-scale images", Proc. SPIE 2573, Vision Geometry IV, (11 August 1995); https://doi.org/10.1117/12.216415

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