Curve and Surface Duals and the Recognition of Curved 3D Objects from their Silhouettes
- Cite this article as:
- Sethi, A., Renaudie, D., Kriegman, D. et al. International Journal of Computer Vision (2004) 58: 73. doi:10.1023/B:VISI.0000016148.08046.fc
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This article addresses the problem of recognizing a solid bounded by a smooth surface in a single image. The proposed approach is based on a new representation for two- and three-dimensional shapes, called their signature, that exploits the close relationship between the dual of a surface and the dual of its silhouette in weak-perspective images. Objects are modeled by rotating them in front of a camera without any knowledge of or constraints on their motion. The signatures of their silhouettes are concatenated into a single object signature. To recognize an object from novel viewpoint other than those used during modeling, the signature of the contours extracted from a test photograph is matched to the signatures of all modeled objects signatures. This approach has been implemented, and recognition examples are presented.