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IEEE Transactions on Visualization and Computer Graphics

Issue 5 • Date Sept.-Oct. 2004

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Displaying Results 1 - 16 of 16
  • [Front cover]

    Publication Year: 2004, Page(s): c1
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  • [Inside front cover]

    Publication Year: 2004, Page(s): c2
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  • Guest Editor's Introduction: Special Section on Mathematics and Visualization

    Publication Year: 2004, Page(s):497 - 498
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  • Applications of Forman's discrete Morse theory to topology visualization and mesh compression

    Publication Year: 2004, Page(s):499 - 508
    Cited by:  Papers (25)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1559 KB) | HTML iconHTML

    Morse theory is a powerful tool for investigating the topology of smooth manifolds. It has been widely used by the computational topology, computer graphics, and geometric modeling communities to devise topology-based algorithms and data structures. Forman introduced a discrete version of this theory which is purely combinatorial. We aim to build, visualize, and apply the basic elements of Forman'... View full abstract»

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  • Visualizing a sphere eversion

    Publication Year: 2004, Page(s):509 - 515
    Cited by:  Papers (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (944 KB) | HTML iconHTML

    The mathematical process of everting a sphere (turning it inside-out allowing self-intersections) is a grand challenge for visualization because of the complicated, ever-changing internal structure. We have computed an optimal minimax eversion, requiring the least bending energy. Here, we discuss techniques we used to help visualize this eversion for visitors to virtual environments and viewers of... View full abstract»

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  • Robust feature detection and local classification for surfaces based on moment analysis

    Publication Year: 2004, Page(s):516 - 524
    Cited by:  Papers (28)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1093 KB) | HTML iconHTML

    The stable local classification of discrete surfaces with respect to features such as edges and corners or concave and convex regions, respectively, is as quite difficult as well as indispensable for many surface processing applications. Usually, the feature detection is done via a local curvature analysis. If concerned with large triangular and irregular grids, e.g., generated via a marching cube... View full abstract»

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  • Fast evolution of image manifolds and application to filtering and segmentation in 3D medical images

    Publication Year: 2004, Page(s):525 - 535
    Cited by:  Papers (7)  |  Patents (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (2335 KB) | HTML iconHTML

    In many instances, numerical integration of space-scale PDEs is the most time consuming operation of image processing. This is because the scale step is limited by conditional stability of explicit schemes. We introduce the unconditionally stable semiimplicit linearized difference scheme that is fashioned after additive operator split (AOS) [Weickert, J. et al. (1998)], [Goldenberg, R et al., (200... View full abstract»

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  • Crest lines for surface segmentation and flattening

    Publication Year: 2004, Page(s):536 - 544
    Cited by:  Papers (35)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1292 KB) | HTML iconHTML

    We present a method for extracting feature curves called crest lines from a triangulated surface. Then, we calculate the geodesic Voronoi diagram of crest lines to segment the surface into several regions. Afterward, barycentric surface flattening using theory from graph embeddings is implemented and, using the geodesic Voronoi diagram, we develop a faster surface flattening algorithm. View full abstract»

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  • Editor's Note

    Publication Year: 2004, Page(s):545 - 547
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  • On a construction of a hierarchy of best linear spline approximations using a finite element approach

    Publication Year: 2004, Page(s):548 - 563
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (2042 KB) | HTML iconHTML

    We present a method for the hierarchical approximation of functions in one, two, or three variables based on the finite element method (Ritz approximation). Starting with a set of data sites with associated function, we first determine a smooth (scattered-data) interpolant. Next, we construct an initial triangulation by triangulating the region bounded by the minimal subset of data sites defining ... View full abstract»

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  • Point-based probabilistic surfaces to show surface uncertainty

    Publication Year: 2004, Page(s):564 - 573
    Cited by:  Papers (47)  |  Patents (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1954 KB) | HTML iconHTML

    Efficient and informative visualization of surfaces with uncertainties is an important topic with many applications in science and engineering. In these applications, the correct course of action may depend not only on the location of a boundary, but on the precision with which that location is known. Examples include environmental pollution borderline detection, oil basin edge characterization, o... View full abstract»

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  • Haptics-based dynamic implicit solid modeling

    Publication Year: 2004, Page(s):574 - 586
    Cited by:  Papers (16)  |  Patents (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1635 KB) | HTML iconHTML

    We systematically present a novel, interactive solid modeling framework, haptics-based dynamic implicit solid modeling, which is founded upon volumetric implicit functions and powerful physics-based modeling. In particular, we augment our modeling framework with a haptic mechanism in order to take advantage of additional realism associated with a 3D haptic interface. Our dynamic implicit solids ar... View full abstract»

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  • Simplification of three-dimensional density maps

    Publication Year: 2004, Page(s):587 - 597
    Cited by:  Papers (13)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1600 KB) | HTML iconHTML

    We consider scientific data sets that describe density functions over three-dimensional geometric domains. Such data sets are often large and coarsened representations are needed for visualization and analysis. Assuming a tetrahedral mesh representation, we construct such representations with a simplification algorithm that combines three goals: the approximation of the function, the preservation ... View full abstract»

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  • Confetti: object-space point blending and splatting

    Publication Year: 2004, Page(s):598 - 608
    Cited by:  Papers (29)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1832 KB) | HTML iconHTML

    We present Confetti, a novel point-based rendering approach based on object-space point interpolation of densely sampled surfaces. We introduce the concept of a transformation-invariant covariance matrix of a set of points which can efficiently be used to determine splat sizes in a multiresolution point hierarchy. We also analyze continuous point interpolation in object-space and we define a new c... View full abstract»

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  • TVCG Information for authors

    Publication Year: 2004, Page(s): c3
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  • [Back cover]

    Publication Year: 2004, Page(s): c4
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Aims & Scope

Visualization techniques and methodologies; visualization systems and software; volume visualization; flow visualization; multivariate visualization; modeling and surfaces; rendering; animation; user interfaces; visual progranuning; applications.

Full Aims & Scope

Meet Our Editors

Editor-in-Chief
Leila De Floriani
Department of Computer Science, Bioengineering, Robotics and Systems Engineering
University of Genova
16146 Genova (Italy)
ldf4tvcg@umiacs.umd.edu