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# The Role of Functional Analysis in Global Illumination

@inproceedings{Arvo1995TheRO, title={The Role of Functional Analysis in Global Illumination}, author={James Arvo}, booktitle={Rendering Techniques}, year={1995} }

- Published 1995 in Rendering Techniques
DOI:10.1007/978-3-7091-9430-0_12

The problem of global illumination is virtually synonymous with solving the rendering equation. Although a great deal of research has been directed toward Monte Carlo and finite element methods for solving the rendering equation, little is known about the continuous equation beyond the existence and uniqueness of its solution. The continuous problem may be posed in terms of linear operators acting on infinite-dimensional function spaces. Such operators are fundamentally different from their… CONTINUE READING

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