The Role of Functional Analysis in Global Illumination

Abstract

Text rich on information on how to apply functional analysis to globalillumination. Presents rendering equation as integral operator equation,defines operator norms in Lp-spaces and discusses consequences andphysical meanings of these. L2-space is a hilbert-space, discussesadjoint operators and compact operators (which can be uniformly approximatedby degenerate operators: orm{T - T_n} \to 0).