@inproceedings{7f69487af8384a16b5fb91941dbfc56a,
title = "Projectively invariant representations using implicit algebraic curves",
abstract = "We demonstrate that it is possible to compute polynomial representations of image curves which are unaffected by the projective frame in which the representation is computed. This means that: The curve chosen to represent a projected set of points is the projection of the curve chosen to represent the original set. We achieve this by using algebraic invariants of the polynomial in the fitting process. We demonstrate that our procedure works for plane conic curves. We show that for higher order plane curves, or for aggregates of plane conics, algebraic invariants can yield powerful representations of shape that are unaffected by projection, and hence make good cues for model based vision. Tests on synthetic and real data have yielded excellent results.",
author = "David Forsyth and Mundy, {Joseph L.} and Andrew Zisserman and Brown, {Christopher M.}",
note = "Funding Information: 1DAF acknowledges the support of Magdalen College, Oxford. AZ acknowledges the support of the Science and Engineering Research Council. JLM acknowledges the support of the General Electric Coolidge Fellowship. CMB acknowledges the support of the DARPA U.S. Army Engineering Topographic Laboratories Grant DACA76-85-C-0001 and the Air Force Systems Command (RADC, Griffiss AFB, NY) and Air Force OSR Contract F30602-85-C-0008, which supports the Northeast Artificial Intelligence Consortium. Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 1990.; 1st European Conference on Computer Vision, ECCV 1990 ; Conference date: 23-04-1990 Through 27-04-1990",
year = "1990",
doi = "10.1007/BFb0014893",
language = "English (US)",
isbn = "9783540525226",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer",
pages = "427--436",
editor = "Olivier Faugeras",
booktitle = "Computer Vision – ECCV 1990 - 1st European Conference on Computer Vision, Proceedings",
address = "Germany",
}