On the geometries of conic section representation of noisy object boundaries

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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.

Original languageEnglish (US)
Pages (from-to)130-154
Number of pages25
JournalJournal of Visual Communication and Image Representation
Volume10
Issue number2
DOIs
Publication statusPublished - Jun 1999

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ASJC Scopus subject areas

  • Signal Processing
  • Media Technology
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

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