Conference proceeding
Extracting 3D shape features in discrete scale-space
THIRD INTERNATIONAL SYMPOSIUM ON 3D DATA PROCESSING, VISUALIZATION, AND TRANSMISSION, PROCEEDINGS, pp.946-953
01 Jan 2007
Abstract
3D shape features are inherently scale-dependent. For instance, on a 3D model of a human body, the top of the head and a fingertip can both be detected as comer points, however, at entirely different scales. In this paper, we present a method for extracting and integrating 3D shape features in the discrete scale-space of a triangular mesh model. We first parameterize the surface of the mesh model on a 2D plane and then construct a dense surface normal map. In general, the parametrization is not isometric. To account for this, we compute the relative stretch of the original edge lengths. Next, we compute a dense distortion map which is used to approximate the geodesic distances on the normal map. Then, we construct a discrete scale-space of the original 3D shape by successively convolving the normal map with distortion-adapted Gaussian kernels of increasing standard deviation. We derive comer and edge detectors to extract 3D features at each scale in the discrete scale-space. Furthermore, we show how to combine the detector responses from different scales to form a unified representation of the 3D features.
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Details
- Title
- Extracting 3D shape features in discrete scale-space
- Creators
- John Novatnack - Drexel Univ, Dept Comp Sci, Philadelphia, PA 19104 USAKo Nishino - Drexel Univ, Dept Comp Sci, Philadelphia, PA 19104 USAAli Shokoufandeh - Drexel Univ, Dept Comp Sci, Philadelphia, PA 19104 USA
- Contributors
- M Pollefeys (Editor)K Daniilidis (Editor)
- Publication Details
- THIRD INTERNATIONAL SYMPOSIUM ON 3D DATA PROCESSING, VISUALIZATION, AND TRANSMISSION, PROCEEDINGS, pp.946-953
- Conference
- THIRD INTERNATIONAL SYMPOSIUM ON 3D DATA PROCESSING, VISUALIZATION, AND TRANSMISSION, 3rd
- Publisher
- IEEE
- Number of pages
- 8
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Computer Science (Computing)
- Identifiers
- 991019170469904721
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- Computer Science, Software Engineering
- Imaging Science & Photographic Technology
- Telecommunications