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Accelerating Signed Distance Functions

delete2025-10-11
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PRE
AI
P
Pierre Hubert‐Brierre
É
Éric Guérin
A
Adrien Peytavie
É
Éric Galin
DOI:10.1111/cgf.70258delete
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Abstract

Abstract

En 中文
Processing and particularly visualizing implicit surfaces remains computationally intensive when dealing with complex objects built from construction trees. We introduce optimization nodes to reduce the computational cost of the field function evaluation for hierarchical construction trees, while preserving the Lipschitz or conservative properties of the function. Our goal is to propose acceleration nodes directly embedded in the construction tree, and avoid external, accompanying data-structures such as octrees. We present proxy and continuous level of detail nodes to reduce the overall evaluation cost, along with a normal warping technique that enhances surface details with negligible computational overhead. Our approach is compatible with existing algorithms that aim at reducing the number of function calls. We validate our methods by computing timings as well as the average cost for traversing the tree and evaluating the signed distance field at a given point in space. Our method speeds-up signed distance field evaluation by up to three orders or magnitude, and applies both to ray-surface intersection computation in Sphere Tracing applications, and to polygonization algorithms.
Keywords:
CCS Concepts
• Computing methodologies → Shape modeling

Journal

Computer Graphics Forum cover
Computer Graphics Forum
IF:
2.9
Papers:
497
Citations:
1.1W

Organization

Université Claude Bernard Lyon 1 cover
Université Claude Bernard Lyon 1
Scholars:
854
Papers: 328
Citations: 3.8W
I
insa lyon, cnrs, liris, umr 5205, france
Scholars:
1
Papers: 1
Citations: 0