PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 59(73), pp. 169176 (1996) 

A constant space representation of digital cubic parabolasDragan M. Acketa and Jovisa Zuni\'cInstitut za matematiku, Novi Sad, YugoslaviaAbstract: The concept of ``noisy'' straight line introduced by Melter and Rosenfeld is generalized and applied to digital cubic parabolas. It is proved that digital cubic parabola segments and their least square cubic parabola fits are in onetoone correspondence. This leads to a constant space representation of a digital cubic parabola segment. One such representation is $(x_1,n,a,b,c,d)$, where $x_1$ and $n$ are the left endpoint and the number of digital points, respectively, while $a$, $b$, $c$ and $d$ are the coefficients of the least square cubic parabola fit $Y = aX^3+bX^2+cX+d$ for the given cubic parabola segment. Keywords: coding scheme, shape representation, image vision, digital geometry. Classification (MSC2000): 65D10; 68G10 Full text of the article:
Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.
© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
