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Heat kernel smoothing of scalar and vector image data

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Journal2006 IEEE International Conference on Image Processing, ICIP 2006, Proceedings
DatePublished - 2006
Number of pages4
Pages (from-to)1549-1552
Original languageEnglish

Abstract

This paper shows how the graph-spectral heat kernel can be used to smooth both gray-scale and color images. We represent images using weighted attributed graphs, and compute the associated Laplacian matrix. Diffusion across this weighted graph-structure with time is captured by the heat-equation, and the solution, i.e. the heat kernel, is found by exponentiating the Laplacian eigen-system with time. Image smoothing is effected by convolving the heat kernel with the image. The method has the effect of smoothing within regions, but does not blur region boundaries. Experiments and comparisons on standard images illustrate the effectiveness of the method.

    Research areas

  • image restoration, image enhancement, smoothing methods, filter noise, ANISOTROPIC DIFFUSION, EDGE-DETECTION

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