The Local Projective Shape of Smooth Surfaces and Their Outlines
作者： Svetlana Lazebnik , Jean Ponce
DOI: 10.1007/S11263-005-4947-4
关键词:
摘要: This article examines projectively-invariant local geometric properties of smooth curves and surfaces. Oriented projective differential geometry is proposed as a general framework for establishing such invariants characterizing the shape surfaces their outlines. It applied to two problems: (1) generalization Koenderink's famous characterization convexities, concavities, inflections apparent contours solids bounded by surfaces, (2) image-based construction rim meshes, which provide combinatorial description arrangement induced on surface an object contour generators associated with multiple cameras observing it.
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sci-hub.se 参考文章(45)
JORGE STOLFI, Oriented projective spaces Oriented Projective Geometry#R##N#A Framework for Geometric Computations. pp. 13- 18 ,(1991) , 10.1016/B978-0-12-672025-9.50005-8
Applications of Invariance in Computer Vision Springer Berlin Heidelberg. ,(1994) , 10.1007/3-540-58240-1
Elie Cartan, La théorie des groupes finis et continus et la Géométrie différentielle traitées par la méthode du repère mobile : leçons professées à la Sorbonne La théorie des groupes finis et continus et la géométrie différentielle. ,(1937)
Joseph L. Mundy, Andrew Zisserman, Geometric invariance in computer vision MIT Press. ,(1992)
Bruce Guenther Baumgart, Geometric modeling for computer vision. Stanford University. ,(1974)
Stéphane Laveau, Olivier Faugeras, Oriented Projective Geometry for Computer Vision european conference on computer vision. pp. 147- 156 ,(1996) , 10.1007/BFB0015531
Jorge Stolfi, Oriented Projective Geometry: A Framework for Geometric Computations ,(2014)
Edmond Boyer, Object Models from Contour Sequences european conference on computer vision. ,vol. 1065, pp. 109- 118 ,(1996) , 10.1007/3-540-61123-1_131
Manfredo Perdigão do Carmo, Differential geometry of curves and surfaces ,(1976)
Eugenio Calabi, Peter J. Olver, Chehrzad Shakiban, Allen Tannenbaum, Steven Haker, Differential and Numerically Invariant Signature Curves Applied to Object Recognition International Journal of Computer Vision. ,vol. 26, pp. 107- 135 ,(1998) , 10.1023/A:1007992709392