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We present a method for 3D non-rigid motion tracking and structure reconstruction from 2D points and curve segments from a sequence of perspective images. The 3D locations of features in the first frame are known. The 3D affine motion model is used to describe the nonrigid motion. The results from synthetic and real data are presented. The applications include: lip tracking, MPEG4 face player, and burn scar assessment. The results show that: 1) curve segments are more robust under noise (observed from synthetic data with different Gaussian noise level); and 2) using both feature yields a significant performance gain in real data.
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This content will become publicly available on March 1, 2026
Non-existence of phantoms on some non-generic blowups of the projective plane
We show that blowups of the projective plane at points lying on a smooth cubic curve do not contain phantoms, provided the points are chosen in very general position on this curve.
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- Award ID(s):
- 1928930
- PAR ID:
- 10600006
- Publisher / Repository:
- AMS
- Date Published:
- Journal Name:
- Proceedings of the American Mathematical Society
- Volume:
- 153
- Issue:
- 789
- ISSN:
- 0002-9939
- Page Range / eLocation ID:
- 963 to 968
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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