Koschier, D;
Deul, C;
Brand, M;
Bender, J;
(2017)
An hp-adaptive discretization algorithm for signed distance field generation.
IEEE Transactions on Visualization and Computer Graphics
, 23
(10)
pp. 2208-2221.
10.1109/TVCG.2017.2730202.
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Koschier_An hp-Adaptive Discretization Algorithm for Signed Distance Field Generation_AAM.pdf - Accepted Version Download (4MB) | Preview |
Abstract
In this paper we present an hp-adaptive algorithm to generate discrete higher-order polynomial Signed Distance Fields (SDFs) on axis-aligned hexahedral grids from manifold polygonal input meshes. Using an orthonormal polynomial basis, we efficiently fit the polynomials to the underlying signed distance function on each cell. The proposed error-driven construction algorithm is globally adaptive and iteratively refines the SDFs using either spatial subdivision (h-refinement) following an octree scheme or by cell-wise adaption of the polynomial approximation's degree (p-refinement). We further introduce a novel decision criterion based on an error-estimator in order to decide whether to apply por h-refinement. We demonstrate that our method is able to construct more accurate SDFs at significantly lower memory consumption compared to previous approaches. While the cell-wise polynomial approximation will result in highly accurate SDFs, it can not be guaranteed that the piecewise approximation is continuous over cell interfaces. Therefore, we propose an optimization-based post-processing step in order to weakly enforce continuity. Finally, we apply our generated SDFs as collision detector to the physically-based simulation of geometrically highly complex solid objects in order to demonstrate the practical relevance and applicability of our method.
| Type: | Article |
|---|---|
| Title: | An hp-adaptive discretization algorithm for signed distance field generation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/TVCG.2017.2730202 |
| Publisher version: | https://doi.org/10.1109/TVCG.2017.2730202 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Memory management, Computational modeling, Adaptation models, Collision avoidance, Animation, Octrees |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10056695 |
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