Finding best-fitted rectangle for regions using a bisection method

D. Chaudhuri, N. K. Kushwaha, I. Sharif, A. Samal

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In this paper, we have presented a new method for computing the best-fitted rectangle for closed regions using their boundary points. The vertices of the best-fitted rectangle are computed using a bisection method starting with the upper-estimated rectangle and the under-estimated rectangle. The vertices of the upper- and under-estimated rectangles are directly computed using closed-form solutions by solving for pairs of straight lines. Starting with these two rectangles, we solve for the best-fitted rectangle iteratively using a bisection method. The algorithm stops when the areas of the fitted rectangles remain unchanged during consecutive iterations. Extensive evaluation of our algorithm demonstrates its effectiveness.

Original languageEnglish (US)
Pages (from-to)1263-1271
Number of pages9
JournalMachine Vision and Applications
Volume23
Issue number6
DOIs
StatePublished - Nov 2012

Keywords

  • Centroid
  • Least square method
  • Major axis
  • Minimum bounding box
  • Minor axis
  • Orientation
  • Rectangular fit
  • Segmentation
  • Shape features

ASJC Scopus subject areas

  • Software
  • Hardware and Architecture
  • Computer Vision and Pattern Recognition
  • Computer Science Applications

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