The Solid Angle of a Plane Triangle

1983/02/01 by A. van Oosterom, J. Strackee · 1 voice · 10 citations
Engineering · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry

paper · doi:10.1109/tbme.1983.325207

openalex publication_date 1983/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

An analytical expression is presented for the solid angle subtended by a plane triangle at some arbitrary point in space. Using this expression, the time required for numerical computation is cut down to one third.

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Discussions

• One can rotate the scene such that the cone apex is at the origin of coordinates, and its axis is pointing along $+z$ , and the sphere center is at $x=-b$ , $y=0$ , $z=-d$ . This is the same conventio [stackexchange, 0 points]