A Practical Walk-on-Boundary Method for Boundary Value Problems

We introduce the walk-on-boundary (WoB) method for solving boundary value problems to computer graphics. WoB is a grid-free Monte Carlo solver for certain classes of second order partial differential equations. A similar Monte Carlo solver, the walk-on-spheres (WoS) method, has been recently popular...

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Bibliographic Details
Published in:ACM transactions on graphics 2023-08, Vol.42 (4), p.1-16, Article 81
Main Authors: Sugimoto, Ryusuke, Chen, Terry, Jiang, Yiti, Batty, Christopher, Hachisuka, Toshiya
Format: Article
Language:English
Subjects:
Computer graphics
Computing methodologies
Differential equations
Integral equations
Mathematical analysis
Mathematics of computing
Partial differential equations
Ray tracing
Rendering
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