Simple, Fast, and Robust Ray Casting of Irregular Grids
Dagstuhl '97, Scientific Visualization
Affine invariant descriptors for color images using Fourier series
Pattern Recognition Letters
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Nefertiti: a query by content software for three-dimensional models databases management
NRC '97 Proceedings of the International Conference on Recent Advances in 3-D Digital Imaging and Modeling
Matching 3D Models with Shape Distributions
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
3D Object Processing: Compression, Indexing and Watermarking
3D Object Processing: Compression, Indexing and Watermarking
A Bayesian 3-D Search Engine Using Adaptive Views Clustering
IEEE Transactions on Multimedia
Indexing of 3d models based on graph of surfacic regions
Proceedings of the ACM workshop on 3D object retrieval
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The size of 3-D data stored around the Web has become bigger. Therefore the development of recognition applications and retrieval systems of 3-D models is important. In this paper we propose a new scheme to measure similarity between 3-D models. The main idea is to reconstruct a 3-D closed curve that represents a 3-D model given by a polygonal mesh, and to extract a signature from this 3-D closed curve using the Fourier series. The proposed descriptor needs continuous principal component analysis (CPCA) to align 3-D models into a canonical position. The feature vectors constructed using this method, named Fourier series descriptor (FSD) are invariants under rigid transformations composed of translation, rotation, flipping and scale; robust to noise and level of detail. A 3-D polygonal mesh model serves as a query for search by shape similarity in a large collection of 3-D models database using an interactive 3-D search engine.