NDLI: Non-manifold level sets: a multivalued implicit surface representation with applications to self-collision processing

Content Provider	ACM Digital Library
Author	Setaluri, Rajsekhar Aanjaneya, Mridul Sifakis, Eftychios Mitchell, Nathan
Copyright Year	2015
Abstract	Level sets have been established as highly versatile implicit surface representations, with widespread use in graphics applications including modeling and dynamic simulation. Nevertheless, level sets are often presumed to be limited, compared to explicit meshes, in their ability to represent domains with thin topological features (e.g. narrow slits and gaps) or, even worse, material overlap. Geometries with such features may arise from modeling tools that tolerate occasional self-intersections, fracture modeling algorithms that create narrow or zero-width cuts by design, or as transient states in collision processing pipelines for deformable objects. Converting such models to level sets can alter their topology if thin features are not resolved by the grid size. We argue that this ostensible limitation is not an inherent defect of the implicit surface concept, but a collateral consequence of the standard Cartesian lattice used to store the level set values. We propose storing signed distance values on a regular hexahedral mesh which can have multiple collocated cubic elements and non-manifold bifurcation to accommodate non-trivial topology. We show how such non-manifold level sets can be systematically generated from convenient alternative geometric representations. Finally we demonstrate how this representation can facilitate fast and robust treatment of self-collision in simulations of volumetric elastic deformable bodies.
Starting Page	1
Ending Page	9
Page Count	9
File Format	PDF
ISSN	07300301
e-ISSN	15577368
DOI	10.1145/2816795.2818100
Volume Number	34
Issue Number	6
Journal	ACM Transactions on Graphics (TOG)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2015-10-26
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Collision processing Deformable models Level sets
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design

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