Algebraic Curves That Work Better

11 years 5 months ago
Algebraic Curves That Work Better
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.
David B. Cooper, Jean-Philippe Tarel, Tolga Tasdiz
Added 09 Nov 2009
Updated 04 Dec 2009
Type Conference
Year 1999
Where CVPR
Authors David B. Cooper, Jean-Philippe Tarel, Tolga Tasdizen
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