Anais do X SIBGRAPI (1997) #ART72

Exact Representation and Operations on Spherical Maps

Marcus Vinícius Alvim Andrade, DPI - UFV, IC - Unicamp
Jorge Stolfi, IC - Unicamp

Abstract. We develop exact algorithms for geometric operations on general circles and circular arcs on the sphere, using integer homogeneous coordinates. The algorithms include testing a point against a circle, computing the intersection of two circles, and ordering three arcs out of the same point. These operations allow robust manipulation of maps on the sphere, providing a reliable framework for GIS, robotics, and other geometric applications.

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