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Differential and Numerically Invariant Signature Curves Applied to Object Recognition 总被引:5,自引:1,他引:5
Calabi Eugenio Olver Peter J. Shakiban Chehrzad Tannenbaum Allen Haker Steven 《International Journal of Computer Vision》1998,26(2):107-135
We introduce a new paradigm, the differential invariant signature curve or manifold, for the invariant recognition of visual objects. A general theorem of É. Cartan implies that two curves are related by a group transformation if and only if their signature curves are identical. The important examples of the Euclidean and equi-affine groups are discussed in detail. Secondly, we show how a new approach to the numerical approximation of differential invariants, based on suitable combination of joint invariants of the underlying group action, allows one to numerically compute differential invariant signatures in a fully group-invariant manner. Applications to a variety of fundamental issues in vision, including detection of symmetries, visual tracking, and reconstruction of occlusions, are discussed. 相似文献
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