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IEEE Transactions on Visualization and Computer Graphics

Issue 1 • Date Mar 1996

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Displaying Results 1 - 9 of 9
  • Volume-preserving free-form solids

    Publication Year: 1996, Page(s):19 - 27
    Cited by:  Papers (19)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (992 KB)

    Some important trends in geometric modeling are the reliance on solid models rather than surface-based models and the enhancement of the expressive power of models, by using free-form objects in addition to the usual geometric primitives and by incorporating physical principles. An additional trend is the emphasis on interactive performance. In this paper, we integrate all of these requirements in... View full abstract»

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  • Solving geometric constraints by homotopy

    Publication Year: 1996, Page(s):28 - 34
    Cited by:  Papers (17)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (828 KB)

    Numerous methods have been proposed in order to solve geometric constraints, all of them having their own advantages and drawbacks. In this article, we propose an enhancement to the classical numerical methods, which, up to now, are the only ones that apply to the general case View full abstract»

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  • A fast method for estimating discrete field values in early engineering design

    Publication Year: 1996, Page(s):35 - 43
    Cited by:  Papers (5)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1604 KB)

    Much of the analysis done in engineering design involves the solution of partial differential equations (PDEs) that are subject to initial-value or boundary-value conditions; generically, these are called “field problems”. Finite-element and finite-difference methods (FEM, FDM) are the predominant solution techniques, but these are often too expensive or too tedious to use in the early... View full abstract»

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  • D-NURBS: a physics-based framework for geometric design

    Publication Year: 1996, Page(s):85 - 96
    Cited by:  Papers (62)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1404 KB)

    Presents dynamic non-uniform rational B-splines (D-NURBS), a physics-based generalization of NURBS. NURBS have become a de facto standard in commercial modeling systems. Traditionally, however, NURBS have been viewed as purely geometric primitives, which require the designer to interactively adjust many degrees of freedom-control points and associated weights-to achieve the desired shapes. The con... View full abstract»

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  • An algorithm for the medial axis transform of 3D polyhedral solids

    Publication Year: 1996, Page(s):44 - 61
    Cited by:  Papers (47)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (2164 KB)

    The medial axis transform (MAT) is a representation of an object which has been shown to be useful in design, interrogation, animation, finite element mesh generation, performance analysis, manufacturing simulation, path planning and tolerance specification. In this paper, an algorithm for determining the MAT is developed for general 3D polyhedral solids of arbitrary genus without cavities, with n... View full abstract»

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  • A road map to solid modeling

    Publication Year: 1996, Page(s):3 - 10
    Cited by:  Papers (18)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (960 KB)

    The objective of solid modeling is to represent, manipulate and reason about the 3D shape of solid physical objects by computer. Such representations should be unambiguous. Solid modeling's major application areas include design, manufacturing, computer vision, graphics and virtual reality. The field draws on diverse sources, including numerical analysis, symbolic algebraic computation, approximat... View full abstract»

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  • Function representation for sweeping by a moving solid

    Publication Year: 1996, Page(s):11 - 18
    Cited by:  Papers (24)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1200 KB)

    Studies a function representation of point sets swept by moving solids. The original solid-generator is defined by an inequality f(x,y,z,t)⩾0 where x, y, z are Cartesian coordinates and t is treated as the time. This definition allows us to include solids which change their shapes in time. Constructive solids can be used as generators also when described by R-functions. The trajectory of the g... View full abstract»

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  • A near optimal isosurface extraction algorithm using the span space

    Publication Year: 1996, Page(s):73 - 84
    Cited by:  Papers (91)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1228 KB)

    Presents the “Near Optimal IsoSurface Extraction” (NOISE) algorithm for rapidly extracting isosurfaces from structured and unstructured grids. Using the span space, a new representation of the underlying domain, we develop an isosurface extraction algorithm with a worst case complexity of o(√n+k) for the search phase, where n is the size of the data set and k is the number of cel... View full abstract»

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  • Shape description by medial surface construction

    Publication Year: 1996, Page(s):62 - 72
    Cited by:  Papers (34)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1168 KB)

    The medial surface is a skeletal abstraction of a solid that provides useful shape information, which compliments existing model representation schemes. The medial surface and its associated topological entities are defined, and an algorithm for computing the medial surface of a large class of B-rep solids is then presented. The algorithm is based on the domain Delaunay triangulation of a relative... View full abstract»

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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.

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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