Technical Reports (CIS)

Document Type

Technical Report

Date of this Version

1-1-1996

Comments

University of Pennsylvania Department of Computer and Information Science Technical Report No.MS-CIS-96-02.

Abstract

In this paper we present a simple and efficient algorithm for generating uniformaly distributed samples on the unit sphere based on an Archimedes' theorem. The implementation is straightforward and may be easily extended to include stratified sampling for variance reduction. Applications in image synthesis include solid angle measurement, irradiance computation, and rendering equation solution for geometrically complex environments.

Keywords

Archiniedes' theorem, axial projection, Monte Carlo, solid angle, spherical sampling

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Date Posted: 25 June 2007