Abstract

Although an infinity of three-dimensional (3-D) objects could generate any given silhouette, we usually infer only one 3-D object from its two-dimensional (2-D) projection. What are the constraints that restrict this infinity of choices? We identify three mathematical properties of smooth surfaces plus one simple viewing constraint that seem to drive our preferred interpretation of 3-D shape from 2-D contour. The constraint is an extension of the notion of general position. Taken together, our interpretation rules predict that “dents” in a 3-D surface should never be inferred from a smooth 2-D silhouette.

© 1987 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Description of solid shape and its inference from occluding contours

Jack M. H. Beusmans, Donald D. Hoffman, and Bruce M. Bennett
J. Opt. Soc. Am. A 4(7) 1155-1167 (1987)

Three-dimensional modeling using x-ray shape-from-silhouette

Emanuele Simioni, Filippo Ratti, Irene Calliari, and Luca Poletto
Appl. Opt. 50(19) 3282-3288 (2011)

Reconstituting object shape and orientation from silhouettes

R. D. Murch and B. P. McGregor
J. Opt. Soc. Am. A 9(9) 1491-1497 (1992)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (8)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription