Multiresolution analysis of arbitrary meshes

Eck, Matthias; DeRose, Tony; Duchamp, Tom; Hoppe, Hugues; Lounsbery, Michael; Stuetzle, Werner

doi:10.1145/218380.218440

Cited by 918 publications

(683 citation statements)

References 23 publications

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“…A number of algorithms have been proposed by Kent et al [26], Maillot et al [32], and Eck et al [15]. One possible solution is to use harmonic maps.…”

Section: Previous Approachesmentioning

confidence: 99%

Interactive surface decomposition for polyhedral morphing

et al. 1999

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“…A number of algorithms have been proposed by Kent et al [26], Maillot et al [32], and Eck et al [15]. One possible solution is to use harmonic maps.…”

Section: Previous Approachesmentioning

confidence: 99%

Interactive surface decomposition for polyhedral morphing

et al. 1999

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“…A coarse triangle mesh is constructed from the dual of a quasi Voronoi diagram [14] or from mesh simplification [20] and uniform subdivision is applied.…”

Section: Triangle Remeshingmentioning

confidence: 99%

Feature aligned quad dominant remeshing using iterative local updates

Lai

Kobbelt

2010

Computer-Aided Design

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In this paper we present a new algorithm which turns an unstructured triangle mesh into a quad-dominant mesh with edges well aligned to the principal directions of the underlying surface. Instead of computing a globally smooth parameterization or integrating curvature lines along a tangent vector field, we simply apply an iterative relaxation scheme which incrementally aligns the mesh edges to the principal directions. We further obtain the quad-dominant mesh by dropping the not-aligned diagonal edges from the triangle mesh. A post-processing stage is introduced to further improve the results. The major advantage of our algorithm is its conceptual simplicity since it is merely based on elementary mesh operations such as edge collapse, flip, and split. The resulting meshes exhibit a very good alignment to surface features and rather uniform distribution of mesh vertices. This makes them well-suited, e.g., as Catmull-Clark Subdivision control meshes.

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“…In Figure 5, we compare two popular fixed boundary conformal techniques, Harmonic mappings 24 and Mean Value Coordinates 25 with the FDM with unit edge forces. The stability under motion of these embedding methods is highly non-linear, and so we evaluate each embedding technique experimentally …”

Section: Stability Under Motionmentioning

confidence: 99%

Fast simulation of skin sliding

Yang¹,

Southern²,

Zhang

2009

Computer Animation & Virtual

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Skin sliding is the phenomenon of the skin moving over underlying layers of fat, muscle and bone. Due to the complex interconnections between these separate layers and their differing elasticity properties, it is difficult to model and expensive to compute. We present a novel method to simulate this phenomenon at real-time by remeshing the surface based on a parameter space resampling. In order to evaluate the surface parametrization, we borrow a technique from structural engineering known as the force density method which solves for an energy minimizing form with a sparse linear system. Our method creates a realistic approximation of skin sliding in real-time, reducing texture distortions in the region of the deformation. In addition it is flexible, simple to use, and can be incorporated into any animation pipeline. Abstract Skin sliding is the phenomenon of the skin moving over underlying layers of fat, muscle and bone. Due to the complex interconnections between these separate layers and their differing elasticity properties, it is difficult to model and expensive to compute. We present a novel method to simulate this phenomenon at real-time by remeshing the surface based on a parameter space resampling. In order to evaluate the surface parametrization, we borrow a technique from structural engineering known as the force density method which solves for an energy minimizing form with a sparse linear system. Our method creates a realistic approximation of skin sliding in real-time, reducing texture distortions in the region of the deformation. In addition it is flexible, simple to use, and can be incorporated into any animation pipeline.

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Multiresolution analysis of arbitrary meshes

Cited by 918 publications

References 23 publications

Interactive surface decomposition for polyhedral morphing

Interactive surface decomposition for polyhedral morphing

Feature aligned quad dominant remeshing using iterative local updates

Fast simulation of skin sliding

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