On Computing a Largest Empty Arbitrarily Oriented Rectangle

Asish Kumar Mukhopadhyay, S. V. Rao · International Journal of Computational Geometry & Applications · 2003

Given a set P of n points within a rectangle R, we present an O(n3) time algorithm for computing an arbitrarily oriented empty rectangle of largest area in R that is bounded by a point of P on each of its four sides. We assume that R is large enough to contain such a rectangle.

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