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Graph Spectral Image Smoothing

Graph Spectral Image Smoothing

This video was recorded at 6th IAPR - TC-15 Workshop on Graph-based Representations in Pattern Recognition (GbR), Alicante 2007. A new method for smoothing both gray-scale and color images is presented that relies on the heat diffusion equation on a graph. We represent the image pixel lattice using a weighted undirected graph. The edge weights of the graph are determined by the Gaussian weighted distances between local neighbouring windows. We then compute the associated Laplacian matrix (the degree matrix minus the adjacency matrix). Anisotropic 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 accomplished by convolving the... Show More

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