The inverse barycentric displacement problem

In 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 application...

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Bibliographic Details
Published inThe Visual computer Vol. 40; no. 3; pp. 2081 - 2088
Main Authors Maggiordomo, Andrea, Uralsky, Yury, Moreton, Henry, Tarini, Marco
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2024
Springer Nature B.V
Subjects
Artificial Intelligence
Baking
Computer Graphics
Computer Science
Image Processing and Computer Vision
Inverse problems
Original Article
Texture baking
Displacement mapping
Inverse ray casting
Vertex projection
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Summary:In 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.
ISSN:0178-2789
1432-2315
DOI:10.1007/s00371-023-02903-0