# Calculating ellipse overlap areas

@article{Hughes2011CalculatingEO, title={Calculating ellipse overlap areas}, author={Gary B. Hughes and Mohcine Chraibi}, journal={Computing and Visualization in Science}, year={2011}, volume={15}, pages={291-301} }

We present an approach for finding the overlap area between two ellipses that does not rely on proxy curves. The Gauss-Green formula is used to determine a segment area between two points on an ellipse. Overlap between two ellipses is calculated by combining the areas of appropriate segments and polygons in each ellipse. For four of the ten possible orientations of two ellipses, the method requires numerical determination of transverse intersection points. Approximate intersection points can be…

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