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Linear constraints for the interpretation of line drawings of curved objects

โœ Scribed by Martin C. Cooper

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
274 KB
Volume
119
Category
Article
ISSN
0004-3702

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โœฆ Synopsis

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 programming techniques. An important characteristic of this approach is that instead of making a strong assumption, such as all surfaces are planar, only a very weak assumption, which disallows coincidences and highly improbable objects, needs to be made to be able to deduce planarity.

The linear constraints, combined with junction-labelling constraints, are a powerful means of discriminating between possible and impossible line drawings. They provide an important tool for the machine reconstruction of a 3D scene from a human-entered line drawing.

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