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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

Robust Particle Systems for Curvature Dependent Sampling of Implicit Surfaces   (Citations: 27)
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Recent research on point-based 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. 124-133, 2005
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    • ...The underlying computational model is typically a dynamical particle system [26]...

    Guangyu Zouet 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 Schultzet al. Superquadric Glyphs for Symmetric Second-Order 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 two-step update scheme and the energy function Ei from the work presented by Meyer et al. [8]...

    Roy van Peltet al. Illustrative Volume Visualization Using GPU-Based Particle Systems

    • ...Recently, Meyer et al. [9] improved the energy functions to efficiently distribute particles on implicit surfaces and achieve more stable evolution...

    Herng-Hua Changet al. Active Shape Modeling with Electric Flows

    • ...has been studied in detail by Meyer et al., with curvature-dependent sampling [48] and sampling of isosurfaces in high-order 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], cotangent-based [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 particle-based 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. Kindlmannet al. Sampling and Visualizing Creases with Scale-Space Particles

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