The inverse barycentric displacement problem-Reference-Cited by-同舟云学术

The inverse barycentric displacement problem

Published:2023-06-16 Issue: Volume: Page:
ISSN:0178-2789
Container-title:The Visual Computer
language:en
Short-container-title:Vis Comput

Author:

Maggiordomo Andrea^ORCID,Uralsky Yury^ORCID,Moreton Henry^ORCID,Tarini Marco^ORCID

Abstract

AbstractIn this short paper, we analyze the problem of finding the triangular barycentric coordinates of an interpolated ray hitting a given point. This task, which we term the inverse barycentric displacement problem, is general and useful in geometry processing and computer graphics. Concrete applications of the solution include the construction of displacement maps and texture baking. We derive the set of complete, closed-form solutions and discuss the number and existence of solutions. We close with a discussion of implementation-oriented optimizations and a few example applications.

Funder

Università degli Studi di Milano

Publisher

Springer Science and Business Media LLC

Subject

Computer Graphics and Computer-Aided Design,Computer Vision and Pattern Recognition,Software

Link

https://link.springer.com/content/pdf/10.1007/s00371-023-02903-0.pdf

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