Algebraic curves that work better

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Publication Type Journal Article
School or College College of Engineering
Department Electrical & Computer Engineering
Creator Tasdizen, Tolga
Other Author Tarel, Jean-Philippe; Cooper, David B.
Title Algebraic curves that work better
Date 1999
Description An algebraic curve is defined as the zero set of a polynomial in two variables. Algebraic curves are practical for modeling shapes much more complicated than conics or superquadrics. The main drawback in representing shapes by algebraic curves has been the lack of repeatability in fitting algebraic curves to data. A regularized fast linear fitting method based on ridge regression and restricting the representation to well behaved subsets of polynomials is proposed, and its properties are investigated. The fitting algorithm is of sufficient stability for very fast position-invariant shape recognition, position estimation, and shape tracking, based on new invariants and representations, and is appropriate to open as well as closed curves of unorganized data. Among appropriate applications are shape-based indexing into image databases.
Type Text
Publisher Institute of Electrical and Electronics Engineers (IEEE)
First Page 35
Last Page 41
Language eng
Bibliographic Citation Tasdizen, T., Tarel, J.-P., & Cooper, D. B. (1999). Algebraic curves that work better. Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2, 35-41. June.
Rights Management (c) 1999 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Format Medium application/pdf
Format Extent 712,539 bytes
Identifier ir-main,15238
ARK ark:/87278/s65h80wx
Setname ir_uspace
Date Created 2012-06-13
Date Modified 2021-05-06
ID 707269
Reference URL https://collections.lib.utah.edu/ark:/87278/s65h80wx
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