Multi-Fourier Spectral Descriptor to Integrate Knowledge-Based Processing for Three-dimensional Shape Database

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In this research, we have focused on integrating knowledge-based engineering on three-dimensional shape database, which are assumed to be encoded in our patented technology called MFSD (Multi-Fourier Spectral Descriptor) features. During the past three years, we have invented several new techniques ; the first one is "Linear Diffusion Projection (LDP)", which reduces the feature space into almost 1/10 dimensions with compact indices, keeping non-linear structure in higher dimensional space. The second one is "Segmentation based on protruded shape". This technique was presented in a workshop in February, 2011. This allows us to search similar shapes "by parts", which makes it possible to enumerate partially similar shapes, even though the shape as a whole may not be similar to the input query.