Robot vision
Computer-Aided Design
Detection of generalized principal axes is rotationally symmetric shapes
Pattern Recognition
Machine vision
Techniques for Assessing Polygonal Approximations of Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Determining the minimum-area encasing rectangle for an arbitrary closed curve
Communications of the ACM
Notes on shape orientation where the standard method does not work
Pattern Recognition
Boundary based orientation of polygonal shapes
PSIVT'06 Proceedings of the First Pacific Rim conference on Advances in Image and Video Technology
Boundary based shape orientation
Pattern Recognition
Boundary based shape orientation
Pattern Recognition
Measuring the Related Properties of Linearity and Elongation of Point Sets
CIARP '08 Proceedings of the 13th Iberoamerican congress on Pattern Recognition: Progress in Pattern Recognition, Image Analysis and Applications
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Shape elongation is one of the basic shape descriptors that has a very clear intuitive meaning. That is reason for its applicability in many shape classification tasks. In this paper we define a new method for computing shape elongation for shapes with polygonal boundaries. The measure is the ratio of the maximal and minimal of the sums of squared lengths of the projections of all of the edges of the polygonal boundary onto a line which has a particular slope. We express the measure with a closed formula. This measure finds the elongation for shapes whose boundary is not extracted completely, which is impossible to achieve with existing area based measures.