Model-based invariant functions and their use for recognition

Daphna Weinshall

doi:10.1007/3-540-58240-1_19

Model-based invariant functions and their use for recognition

Daphna Weinshall^*

^*Corresponding author for this work

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Using three dimensional invariant representations, we address the problem of changes in appearance that result from a change in camera orientation (or change of viewpoint). This approach is based on a Euclidean invariant representation of three dimensional objects, where the metric information is kept using the Gramian of 4 basis points and the affine coordinates of the remaining points, or using the generalized inverse Gramian of all the object points. We describe functions which operate on two dimensional images of three dimensional objects, and which are invariant under changes of viewpoint. These functions can be used to improve and extend various existing recognition approaches, including alignment, linear combination, and indexing. The invariant representation can be computed with a linear algorithm from a sequence of images.

Original language	English
Title of host publication	Applications of Invariance in Computer Vision - 2nd Joint European - US Workshop, Proceedings
Editors	Joseph L. Mundy, Andrew Zisserman, David Forsyth
Publisher	Springer Verlag
Pages	359-378
Number of pages	20
ISBN (Print)	9783540582403
DOIs	https://doi.org/10.1007/3-540-58240-1_19
State	Published - 1994
Event	2nd Joint European–US Workshop on Applications of Invariance in Computer Vision, 1993 - Azores, Portugal Duration: 9 Oct 1993 → 14 Oct 1993

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	825 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	2nd Joint European–US Workshop on Applications of Invariance in Computer Vision, 1993
Country/Territory	Portugal
City	Azores
Period	9/10/93 → 14/10/93

Bibliographical note

Publisher Copyright:
© 1994, Springer Verlag. All rights reserved.

Access to Document

10.1007/3-540-58240-1_19

Cite this

Weinshall, D. (1994). Model-based invariant functions and their use for recognition. In J. L. Mundy, A. Zisserman, & D. Forsyth (Eds.), Applications of Invariance in Computer Vision - 2nd Joint European - US Workshop, Proceedings (pp. 359-378). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 825 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-58240-1_19

Weinshall, Daphna. / Model-based invariant functions and their use for recognition. Applications of Invariance in Computer Vision - 2nd Joint European - US Workshop, Proceedings. editor / Joseph L. Mundy ; Andrew Zisserman ; David Forsyth. Springer Verlag, 1994. pp. 359-378 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Weinshall, D 1994, Model-based invariant functions and their use for recognition. in JL Mundy, A Zisserman & D Forsyth (eds), Applications of Invariance in Computer Vision - 2nd Joint European - US Workshop, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 825 LNCS, Springer Verlag, pp. 359-378, 2nd Joint European–US Workshop on Applications of Invariance in Computer Vision, 1993, Azores, Portugal, 9/10/93. https://doi.org/10.1007/3-540-58240-1_19

Model-based invariant functions and their use for recognition. / Weinshall, Daphna.
Applications of Invariance in Computer Vision - 2nd Joint European - US Workshop, Proceedings. ed. / Joseph L. Mundy; Andrew Zisserman; David Forsyth. Springer Verlag, 1994. p. 359-378 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 825 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Weinshall D. Model-based invariant functions and their use for recognition. In Mundy JL, Zisserman A, Forsyth D, editors, Applications of Invariance in Computer Vision - 2nd Joint European - US Workshop, Proceedings. Springer Verlag. 1994. p. 359-378. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-58240-1_19

Model-based invariant functions and their use for recognition

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