Proceedings ArticleDOI
Mirror and point symmetry under perspective skewing
L. Van Gool,Theo Moons,Marc Proesmans +2 more
- pp 285-292
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TLDR
It is argued that several sets of symmetry specific invariants are derived that can be used in different situations, depending on the a priori assumptions made, and that all the results directly apply to the case of perspectively skewed point symmetry.Abstract:
Over recent years, symmetry research has shifted from the detection of affinely to perspectively skewed mirror symmetry. Also, links between invariance research and symmetry-specific geometric constraints have been established. The paper aims to contribute to both strands. Several sets of symmetry specific invariants are derived, that can be used in different situations, depending on the a priori assumptions made. It is also argued that all the results directly apply to the case of perspectively skewed point symmetry.read more
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References
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TL;DR: This chapter discusses the origins and development of chemical knowledge, and the role of atoms and molecules in the development of knowledge.
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Recovery of the three-dimensional shape of an object from a single view
TL;DR: The purpose of this paper is to identify some of these assumptions about the world and the image formation process by demonstrating how the theory and techniques which exploit such assumptions can provide a systematic shape-recovery method.
Journal ArticleDOI
Shape from Symmetry: Detecting and Exploiting Symmetry in Affine Images
TL;DR: In this article, the authors investigate the constraints placed on the image projection of a planar object having local reflectional symmetry, and demonstrate an efficient algorithm for detecting and verifying symmetries despite the distorting effects of image skewing.
Journal ArticleDOI
On characterizing ribbons and finding skewed symmetries
TL;DR: Using the curvature of the contour of a Brooks ribbon, the answer to this question is yes for some classes of Brooks ribbons, including skewed symmetries, and this result is used in an implemented algorithm for finding skewed asymmetries in an image.