Geometric invariance in computer vision
Geometric invariance in computer vision
Geometric invariants and object recognition
International Journal of Computer Vision
Invariants of Six Points and Projective Reconstruction From Three Uncalibrated Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D object recognition using invariance
Artificial Intelligence - Special volume on computer vision
In Defense of the Eight-Point Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
Determining the Epipolar Geometry and its Uncertainty: A Review
International Journal of Computer Vision
A state-based technique for the summarization and recognition of gesture
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
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Recently, it has been shown that invariants on motions can be extracted from sequential images and these can be applied for recognizing dynamic events from images viewed from arbitrary viewpoints. These invariants are called space-time invariants since they are defined in space and time. Unfortunately, the existing space-time invariants are limited for planar motions viewed from affine cameras. In this paper, we propose a method for computing space-time invariants on general 3D motions viewed from projective cameras. Furthermore, we show that by using the epipolar geometry derived from the mutual projection of cameras, the stability of space-time invariants can be improved drastically. The extracted invariants are applied for distinguishing non-rigid 3D motions from video sequences viewed from arbitrary viewpoints.