EIGENVALUES AND EIGENVECTORS  IN THE RADIOSITY CONTEXT

Baranoski, G.; Bramley, R.; Rokne, J.

EIGENVALUES AND EIGENVECTORS IN THE RADIOSITY CONTEXT

dc.contributor.author	Baranoski, G.	eng
dc.contributor.author	Bramley, R.	eng
dc.contributor.author	Rokne, J.	eng
dc.date.accessioned	2008-05-08T18:37:51Z
dc.date.available	2008-05-08T18:37:51Z
dc.date.computerscience	1999-05-27	eng
dc.date.issued	1997-05-01	eng
dc.description.abstract	The convergence of iterative methods used to solve the radiosity system of linear equations depends on the distribution of the eigenvalues of the radiosity coefficient matrix. In this paper we prove that all eigenvalues of the radiosity coefficient matrix are real and positive. This fact may allow us to obtain fast radiosity solutions using the knowledge about the spectrum of the matrix. Moreover, the physical meaning of the eigenvectors in global illumination applications is an open problem in graphics. In order to contribute to the clarification of this question, we present some experiments based on the theory of matrices, in which we show interesting features of using eigenvectors as solution vectors in graphic settings.	eng
dc.description.notes	We are currently acquiring citations for the work deposited into this collection. We recognize the distribution rights of this item may have been assigned to another entity, other than the author(s) of the work.If you can provide the citation for this work or you think you own the distribution rights to this work please contact the Institutional Repository Administrator at digitize@ucalgary.ca	eng
dc.identifier.department	1997-601-03	eng
dc.identifier.doi	http://dx.doi.org/10.11575/PRISM/30972
dc.identifier.uri	http://hdl.handle.net/1880/46400
dc.language.iso	Eng	eng
dc.publisher.corporate	University of Calgary	eng
dc.publisher.faculty	Science	eng
dc.subject	Computer Science	eng
dc.title	EIGENVALUES AND EIGENVECTORS IN THE RADIOSITY CONTEXT	eng
dc.type	unknown
thesis.degree.discipline	Computer Science	eng