Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
ROAMing terrain: real-time optimally adapting meshes
VIS '97 Proceedings of the 8th conference on Visualization '97
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Variable resolution triangulations
WADS '97 Selected papers presented at the international workshop on Algorithms and data structure
Optimal triangulation and quadric-based surface simplification
Computational Geometry: Theory and Applications - Special issue on multi-resolution modelling and 3D geometry compression
Multi-resolution dynamic meshes with arbitrary deformations
Proceedings of the conference on Visualization '00
Terrain Simplification Simplified: A General Framework for View-Dependent Out-of-Core Visualization
IEEE Transactions on Visualization and Computer Graphics
SMI '03 Proceedings of the Shape Modeling International 2003
Anisotropic polygonal remeshing
ACM SIGGRAPH 2003 Papers
Variational shape approximation
ACM SIGGRAPH 2004 Papers
Pose-independent simplification of articulated meshes
Proceedings of the 2005 symposium on Interactive 3D graphics and games
Quadric-based simplification in any dimension
ACM Transactions on Graphics (TOG)
Progressive multiresolution meshes for deforming surfaces
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
A semi-Lagrangian contouring method for fluid simulation
ACM Transactions on Graphics (TOG)
Face offsetting: A unified approach for explicit moving interfaces
Journal of Computational Physics
Designing quadrangulations with discrete harmonic forms
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
A fast and accurate semi-Lagrangian particle level set method
Computers and Structures
Robust fairing via conformal curvature flow
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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Many graphics applications represent deformable surfaces through dynamic meshes. To be consistent during deformations, the dynamic meshes require an adaptation process. In this paper we present a simple and flexible framework to adapt dynamic meshes following deformable surfaces. Our scheme combines normal and tangential geometric corrections with refinement and simplification resolution control. It works with different surface descriptions, and supports application-specific criteria. We also introduce a stochastic sampling approach to measure the geometric error approximation. As an example, we couple our framework with numerical simulations, such as a particle level-set method.