Model-based invariant functions and their use for recognition

Daphna Weinshall*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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 languageAmerican English
Title of host publicationApplications of Invariance in Computer Vision - 2nd Joint European - US Workshop, Proceedings
EditorsJoseph L. Mundy, Andrew Zisserman, David Forsyth
PublisherSpringer Verlag
Number of pages20
ISBN (Print)9783540582403
StatePublished - 1994
Event2nd Joint European–US Workshop on Applications of Invariance in Computer Vision, 1993 - Azores, Portugal
Duration: 9 Oct 199314 Oct 1993

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume825 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference2nd Joint European–US Workshop on Applications of Invariance in Computer Vision, 1993

Bibliographical note

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


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