1 December 1994 Computing the solid angle subtended by a planar figure
Author Affiliations +
Optical Engineering, 33(12), (1994). doi:10.1117/12.183402
We propose a new way for computing the solid angle subtended by a planar figure. Our method uses a line-integral representation of the solid angle. The path of integration is the boundary of the planar figure. We use this formula to develop an exact expression for the solid angle subtended by a polygon. This expression is simple and easy to compute. For any other shape, we first convert it to a polygonal one and then use the formula for a polygon. We validate our approach by computing the solid angle subtended by circles and ellipses.
John S. Asvestas, David C. Englund, "Computing the solid angle subtended by a planar figure," Optical Engineering 33(12), (1 December 1994). https://doi.org/10.1117/12.183402


Representing 3D regions with rational Gaussian surfaces
Proceedings of SPIE (June 06 2000)
Surface parametrization and shape description
Proceedings of SPIE (September 22 1992)
Estimating Gaussian curvatures from 3D meshes
Proceedings of SPIE (June 17 2003)
Diffraction Analysis For Multiple-Beam Pellet Irradiance
Proceedings of SPIE (August 10 1977)
Colour processing in Runge space
Proceedings of SPIE (February 03 2011)
Surface area estimation for digitized regular solids
Proceedings of SPIE (October 23 2000)

Back to Top