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Implicit Mesh Generation Using Volumetric Subdivision

: Altenhofen, Christian; Schuwirth, Felix; Stork, André; Fellner, Dieter W.

Volltext urn:nbn:de:0011-n-4669940 (8.6 MByte PDF)
MD5 Fingerprint: 9f6159eb4004a57b8b3eabb1997a8a13
Erstellt am: 12.10.2018

Jaillet, Fabrice (Ed.); Zara, Florence (Ed.) ; European Association for Computer Graphics -EUROGRAPHICS-:
VRIPHYS 17, 13th Workshop on Virtual Reality Interactions and Physical Simulations
Goslar: Eurographics Association, 2017
ISBN: 978-3-03868-032-1
Workshop on Virtual Reality Interaction and Physical Simulations (VRIPHYS) <13, 2017, Lyon>
European Commission EC
H2020; 680448; CAxMan
Konferenzbeitrag, Elektronische Publikation
Fraunhofer IGD ()
Computational geometry; Object modeling; Physically based modeling; 3D Modeling; Subdivision; Finite element method (FEM); Interactive simulation; Digitized Work; Visual Computing as a Service; (Interactive) simulation (SIM); Modeling (MOD)

In this paper, we present a novel approach for a tighter integration of 3D modeling and physically-based simulation. Instead of modeling 3D objects as surface models, we use a volumetric subdivision representation. Volumetric modeling operations allow designing 3D objects in similar ways as with surface-based modeling tools. Encoding the volumetric information already in the design mesh drastically simplifies and speeds up the mesh generation process for simulation. The transition between design, simulation and back to design is consistent and computationally cheap. Since the subdivision and mesh generation can be expressed as a precomputable matrix-vector multiplication, iteration times can be greatly reduced compared to common modeling and simulation setups. Therefore, this approach is especially well suited for early-stage modeling or optimization use cases, where many geometric changes are made in a short time and their physical effect on the model has to be evaluated frequently. To test our approach, we created, simulated and adapted several 3D models. Additionally, we measured and evaluated the timings for generating and applying the matrices for different subdivision levels. For comparison, we also measured the tetrahedral meshing functionality offered by CGAL for similar numbers of elements. For changing topology, our implicit meshing approach proves to be up to 70 times faster than creating the tetrahedral mesh only based on the outer surface. Without changing the topology and by precomputing the matrices, we achieve a speed-up of up to 2800.