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• W2076643813 startingPage "2035" @default.
• W2076643813 abstract "Let S be a shape with a polygonal boundary. We show that the boundary of the maximally elongated rectangle R(S) which encases the shape S contains at least one edge of the convex hull of S. Such a nice property enables a computationally efficient construction of R(S). In addition, we define the elongation of a given shape S as the ratio of the length of R(S) (determined by the longer edge of R(S)) and the width of R(S) (determined by the shorter edge of R(S)) and show that a so defined shape elongation measure has several desirable properties. Several examples are given in order to illustrate the behavior of the new elongation measure. As a by-product, of the method developed here, we obtain a new method for the computation of the shape orientation, where the orientation of a given shape S is defined by the direction of the longer edge of R(S)." @default.
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• W2076643813 date "2010-10-01" @default.
• W2076643813 modified "2023-09-25" @default.
• W2076643813 title "Shape elongation from optimal encasing rectangles" @default.
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• W2076643813 doi "https://doi.org/10.1016/j.camwa.2010.07.043" @default.
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