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Interactive Rendering of NURBS Surfaces [PDF]
Computer-Aided Design, 2014 [Abstract] NURBS (Non-uniform rational B-splines) surfaces are one of the most useful primitives employed for high quality modeling in CAD/CAM tools and graphics software. Since direct evaluation of NURBS surfaces on the GPU is a highly complex task, the
Concheiro, Raquel +3 more
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Efficient rendering of trimmed NURBS surfaces
Computer-Aided Design, 1995 An algorithm for the interactive display of trimmed nurbs surfaces is presented. The algorithm converts the nurbs surfaces to Bézier surfaces, and nurbs trimming curves toBézier curves.
Kumar, Subodh +5 more
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The multivariate quartic NURBS surfaces
Journal of Computational and Applied Mathematics, 2004 In this paper, we construct a kind of multivariate quartic nonuniform rational B-spline (NURBS) surfaces by using bivariate quartic B-spline bases in the multivariate spline space S42(△mn(2)), and discuss some properties of this kind of NURBS surfaces ...
Li, Chong-Jun, Wang, Ren-Hong
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NURBS-compatible subdivision surfaces
, 2010 Two main technologies are available to design and represent freeformsurfaces: Non-Uniform Rational B-Splines (NURBS) and subdivision surfaces. Both representations are built on uniform B-splines, but they extend this foundation in incompatible ways, and ...
Cashman, Thomas J.
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UTD computation for NURBS surfaces
2012 6th European Conference on Antennas and Propagation (EUCAP), 2022 S.669-672One of the main problems in computing the UTD surface diffracted fields on surfaces described by Non-Uniform Rational B-splines (NURBS) is due to the difficulty in determining the geodesic paths the electromagnetic waves takes along the surface.
Toccafondi, A. +2 more
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Interactive Rendering of Deforming NURBS Surfaces
Computer Graphics Forum, 1997 The non-uniform rational B-splines (NURBS) has been widely accepted as a standard tool for geometry representation and design. Its rich geometric properties allow it to represent both analytic shapes and free-form curves and surfaces precisely. Moreover,
Li, Frederick +5 more
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Adaptive tessellation of NURBS surfaces [PDF]
, 2003 NURBS surfaces are widely used in computer graphics, due to their great accuracy of design and reduced amount of data needed for representation. For real-time visualization, tessellation algorithms are needed, as they make use of the actual graphics ...
Bruguera, J. D. +3 more
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Quasi-isotropic initial triangulation of NURBS surfaces [PDF]
European Journal of Computational Mechanics, 2020 Isotropic triangulation of NURBS surfaces provides high quality triangular meshes, where all triangles are equilateral. This isotropy increases representation quality and analysis accuracy.
Cardoso, RP +4 more
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Conversion of trimmed NURBS surfaces to Catmull-Clark subdivision surfaces
Computer Aided Geometric Design, 2014 This paper introduces a novel method to convert trimmed NURBS surfaces to untrimmed subdivision surfaces with Bézier edge conditions. We take a NURBS surface and its trimming curves as input, from this we automatically compute a base mesh, the limit ...
Shen, Jingjing +6 more
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Triangulating Trimmed NURBS Surfaces
, 2000 This paper describes techniques for the piecewise linear approximation of trimmed NURBS surfaces. The problem, called surface triangulation, arises from any application in CAD and graphics.
Shu, Chang, Boulanger, Pierre
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