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.
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Chaudhuri, D., Kushwaha, N.K., Sharif, I. et al. Finding best-fitted rectangle for regions using a bisection method. Machine Vision and Applications 23, 1263–1271 (2012). https://doi.org/10.1007/s00138-011-0348-6
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DOI: https://doi.org/10.1007/s00138-011-0348-6