Abstract
Fourier Mellin Transform (FMT) has been used effectively in previous work for 2D image analysis, reconstruction and retrieval. In this paper, we perform 3D shape retrieval based on FMT on the Purdue Shape Benchmark. The whole procedure includes three steps: 1) generate silhouettes along the six principle directions for each 3D model; 2) compute a collection of FMT coefficients for all the silhouettes, which are translation, scale, and rotation invariant; and 3) compute a match measure between the query coefficients collection and those in the 3D shape repositories. The main contribution of this paper is the novel approach to extract the 3D signatures by Fourier Mellin Transform. Our experimental results validate the effectiveness of our approach.
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