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Constraints for interpretation of line drawings under perspective projection

✍ Scribed by Fatih Ulupinar; Ramakant Nevatia


Publisher
Elsevier Science
Year
1991
Weight
983 KB
Volume
53
Category
Article
ISSN
1049-9660

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✦ Synopsis


Problems of surface orientation recovery from line drawings in a single image obtained under perspective projection are studied. Two constraints, the shared boundary constraint and the orthogonal@ constraint, previolisly used in orthographic projection, are extended to perspective projection. New constraints are derived from observations of parallelism. We define a new symmetry, called convergent symmetry. Convergent symmetry results from perspective projection of a symmetric object. Unlike skew symmetry, convergent symmetry provides sufficient constraints to recover unique surface orientations. The set of techniques given should allow extension of all previous orthographic analysis and provide new tools for additional, more constrained analysis. An example illustrating the use of our techniques is provided, Finally, extension of the constraints for some class of curved surfaces is discussed.


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✍ Martin C. Cooper 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 274 KB

Drawings of curved objects often contain many linear features: straight lines, colinear or coplanar points, parallel lines and vanishing points. These linear features give rise to linear constraints on the 3D position of scene points. The resulting problem can be solved by standard linear programmin