NDLI: Projective Estimators for Point/Tangent Representations of Planar Curves

Content Provider	IEEE Xplore Digital Library
Author	Lewiner, T. Craizer, M.
Copyright Year	2008
Description	Author affiliation: Dept. of Math., PUC-Rio de Janeiro, Rio de Janeiro (Lewiner, T.; Craizer, M.)
Abstract	Recognizing shapes in multiview imaging is still a challenging task, which usually relies on geometrical invariants estimations. However, very few geometric estimators that are projective invariant have been devised.This paper proposes projective length and projective curvature estimators for plane curves, when the curves are represented by points together with their tangent directions. In this context, the estimations can be performed with only the four point-tangent samples for the projective length and five for the projective curvature.The proposed length estimator is based on affine estimators and is proved to be convergent. The curvature estimator relies on the length to fit logarithmic spirals to the point-tangent samples. It is projective invariant and experiments indicate its convergence. Preliminary results using both estimators together are promising, although the estimators' lack of robustness would require additional work for noisy cases.
Starting Page	223
Ending Page	229
File Size	274911
Page Count	7
File Format	PDF
ISBN	9780769533582
ISSN	15301834
DOI	10.1109/SIBGRAPI.2008.6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-10-12
Publisher Place	Brazil
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Geometry Fitting Joints Convergence Estimation Equations Computer vision Discrete estimators Projective Differential Geometry Projective Curvature Projective Lenght
Content Type	Text
Resource Type	Article

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