Skip to main content
Article
On the Geometries of Conic Section Representation of Noisy Object Boundaries
Journal of Visual Communication and Image Representation
  • Qiuming Zhu, University of Nebraska at Omaha
Document Type
Article
Publication Date
6-1-1999
Disciplines
Abstract
This paper studies some geometrical properties of conic sections and the utilization of these properties for the generation of conic section representations of object boundaries in digital images. Several geometrical features of the conic sections, such as the chord, the characteristic point, the guiding triangles, and their appearances under the tessellation and noise corruption of the digital images are discussed. The study leads to a noniterative algorithm that takes advantage of these features in the process of formulating the conic section parameters and generating the approximations of object boundaries from the given sequences of edge pixels in the images. The results can be optimized with respect to certain different criteria of the fittings.
Comments

The final published version of this article can be found at: doi:10.1006/jvci.1999.0419.

© 1999. This manuscript version is made available under the CC-BY-NC-ND 4.0 licensehttp://creativecommons.org/licenses/by-nc-nd/4.0/

Citation Information
Qiuming Zhu. "On the Geometries of Conic Section Representation of Noisy Object Boundaries" Journal of Visual Communication and Image Representation Vol. 10 Iss. 2 (1999) p. 130 - 154
Available at: http://works.bepress.com/qiuming-zhu/30/