Area of overlap of translated polygons

David M. Mount; Ruth Silverman; Angela Y. Wu

doi:10.1117/12.165000

1 December 1993 Area of overlap of translated polygons

David M. Mount, Ruth Silverman, Angela Y. Wu

Proceedings Volume 2060, Vision Geometry II; (1993) https://doi.org/10.1117/12.165000
Event: Optical Tools for Manufacturing and Advanced Automation, 1993, Boston, MA, United States

Abstract

Given two simple polygons P and Q in the plane and a translation vector t (epsilon) R², the area-of-overlap function of P and Q is the function A(t) equals Area[P (t + Q)], where t + Q denotes Q translated by t. This function has a number of applications and interpretations. We present a number of mathematical and computational results regarding this function.

Citation Download Citation

David M. Mount, Ruth Silverman, and Angela Y. Wu "Area of overlap of translated polygons", Proc. SPIE 2060, Vision Geometry II, (1 December 1993); https://doi.org/10.1117/12.165000

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