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Proceedings Paper

Representation of digital parabolas by least-square fit
Author(s): Jovisa Zunic; Jack Koplowitz
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Paper Abstract

The concept of noisy straight line introduced by Melter and Rosenfeld is generalized and applied for digital parabolas. It is proved that digital parabola segments and their least square parabola fits are in one-to-one correspondence. This enables a (first known) vector space representation of a digital parabola segment. One of such representations is (x1, n, a, b, c) where x1 and n are the x-coordinate of the left endpoint and the number of digital points, respectively, while a, b, and c are the coefficients of the least square parabola fit Y equals aX2 + bX + c for the given parabola segment.

Paper Details

Date Published: 4 January 1995
PDF: 8 pages
Proc. SPIE 2356, Vision Geometry III, (4 January 1995); doi: 10.1117/12.198619
Show Author Affiliations
Jovisa Zunic, Institute for Applied Basic Disciplines (Serbia and Montenegro)
Jack Koplowitz, Clarkson Univ. (United States)

Published in SPIE Proceedings Vol. 2356:
Vision Geometry III
Robert A. Melter; Angela Y. Wu, Editor(s)

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