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Keywords
(7)
Adaptive Sampling
Energy Function
Implicit Surface
Local Adaptation
Parametric Surface
Particle System
Surface Representation
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(2)
Using particles to sample and control implicit surfaces
Isosurface extraction using particle systems
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Robust Particle Systems for Curvature Dependent Sampling of Implicit Surfaces
Robust Particle Systems for Curvature Dependent Sampling of Implicit Surfaces,10.1109/SMI.2005.41,Miriah D. Meyer,Pierre Georgel,Ross T. Whitaker
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Robust Particle Systems for Curvature Dependent Sampling of Implicit Surfaces
(
Citations: 27
)
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Miriah D. Meyer
,
Pierre Georgel
,
Ross T. Whitaker
Recent research on pointbased surface representations suggests that point sets may be a viable alternative to
parametric surface
representations in applications where the topological constraints of a parameterization are un wieldy or inefficient. Particle systems offer a mechanism for controlling point samples and distributing them accord  ing to needs of the application.Furthermore, particle sys tems can serve as a
surface representation
in their own right, or to augment implicit functions, allowing for both efficient rendering and control of implicit function param eters. The state of the art in surface sampling particle sys tems, however, presents some shortcomings. First, most of these systems have many parameters that interact with some complexity, making it difficult for users to tune the sys tem to meet specific requirements. Furthermore, these sys tems do not lend themselves to spatially
adaptive sampling
schemes, which are essential for efficient, accurate repre sentations of complex surfaces. In this paper we present a new class of energy functions for distributing particles on implicit surfaces and a corresponding set of numerical tech  niques. These techniques provide stable, scalable, efficie nt, and controllable mechanisms for distributing particles th at sample implicit surfaces within a locally adaptive frame work.
Conference:
Shape Modeling International
, pp. 124133, 2005
DOI:
10.1109/SMI.2005.41
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Citation Context
(22)
...The underlying computational model is typically a dynamical particle system [
26
]...
Guangyu Zou
,
et al.
Authalic Parameterization of General Surfaces Using Lie Advection
...Fig. 9(a) visualizes geometry tensors G on an isosurface (sampled by a particle system [
39
]) of an ear from the Visible Human male CT scan...
Thomas Schultz
,
et al.
Superquadric Glyphs for Symmetric SecondOrder Tensors
...This system incorporates energy minimization for particle redistribution based on the work by Meyer et al. [
8
] (Section 4.1)...
...This freedom of visual representation also benefits primarily visualization oriented goals, as presented by Meyer et al. [
8
]...
...This comprises an energy minimization scheme similar to the work presented by Meyer et al. [
8
]...
...We adopt the twostep update scheme and the energy function Ei from the work presented by Meyer et al. [
8
]...
Roy van Pelt
,
et al.
Illustrative Volume Visualization Using GPUBased Particle Systems
...Recently, Meyer et al. [
9
] improved the energy functions to efficiently distribute particles on implicit surfaces and achieve more stable evolution...
HerngHua Chang
,
et al.
Active Shape Modeling with Electric Flows
...has been studied in detail by Meyer et al., with curvaturedependent sampling [
48
] and sampling of isosurfaces in highorder finite element grids [46]...
...Previous work has explored varying total potential [
48
], radius [15, 45], or orientation [62], based on local data properties...
...φ (r) ≥ 0 ∀r), as with the Coulomb [29], cotangentbased [
48
], and Gaussian [70] profiles used previously...
...The mechanics of particle system computation are based on previous work [70,
48
, 46]...
...The basic mechanics of particlebased feature sampling were derived from computer graphics [62, 70, 27] and scientific visualization [
48
, 46], and the whole system was debugged, monitored, and evaluated here with tensor glyph visualizations [32]...
Gordon L. Kindlmann
,
et al.
Sampling and Visualizing Creases with ScaleSpace Particles
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Citations
(27)
Authalic Parameterization of General Surfaces Using Lie Advection
Guangyu Zou
,
Jiaxi Hu
,
Xianfeng Gu
,
Jing Hua
Journal:
IEEE Transactions on Visualization and Computer Graphics  TVCG
, vol. 17, no. 12, pp. 20052014, 2011
Superquadric Glyphs for Symmetric SecondOrder Tensors
(
Citations: 1
)
Thomas Schultz
,
Gordon L. Kindlmann
Journal:
IEEE Transactions on Visualization and Computer Graphics  TVCG
, vol. 16, no. 6, pp. 15951604, 2010
Illustrative Volume Visualization Using GPUBased Particle Systems
Roy van Pelt
,
Anna Vilanova
,
Huub van de Wetering
Journal:
IEEE Transactions on Visualization and Computer Graphics  TVCG
, vol. 16, no. 4, pp. 571582, 2010
Active Shape Modeling with Electric Flows
HerngHua Chang
,
Daniel J. Valentino
,
WoeiChyn Chu
Journal:
IEEE Transactions on Visualization and Computer Graphics  TVCG
, vol. 16, no. 5, pp. 854869, 2010
Sampling and Visualizing Creases with ScaleSpace Particles
(
Citations: 6
)
Gordon L. Kindlmann
,
Stephen M. Smith
,
Carlfredrik Westin
Journal:
IEEE Transactions on Visualization and Computer Graphics  TVCG
, vol. 15, no. 6, pp. 14151424, 2009