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Non-uniform_rational_B-spline abstract "Non-uniform rational basis spline (NURBS) is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. It offers great flexibility and precision for handling both analytic (surfaces defined by common mathematical formulae) and modeled shapes. NURBS are commonly used in computer-aided design (CAD), manufacturing (CAM), and engineering (CAE) and are part of numerous industry wide standards, such as IGES, STEP, ACIS, and PHIGS. NURBS tools are also found in various 3D modelling and animation software packages.They can be efficiently handled by the computer programs and yet allow for easy human interaction. NURBS surfaces are functions of two parameters mapping to a surface in three-dimensional space. The shape of the surface is determined by control points. NURBS surfaces can represent, in a compact form, simple geometrical shapes. T-splines and subdivision surfaces are more suitable for complex organic shapes because they reduce the number of control points twofold in comparison with the NURBS surfaces.In general, editing NURBS curves and surfaces is highly intuitive and predictable. Control points are always either connected directly to the curve/surface, or act as if they were connected by a rubber band. Depending on the type of user interface, editing can be realized via an element’s control points, which are most obvious and common for Bézier curves, or via higher level tools such as spline modeling or hierarchical editing.".
Non-uniform_rational_B-spline thumbnail NURBstatic.svg?width=300.
Non-uniform_rational_B-spline wikiPageExternalLink NURBS-en.swf.
Non-uniform_rational_B-spline wikiPageExternalLink nurbs.html.
Non-uniform_rational_B-spline wikiPageExternalLink NURBS.
Non-uniform_rational_B-spline wikiPageExternalLink tinyspline.
Non-uniform_rational_B-spline wikiPageID "308474".
Non-uniform_rational_B-spline wikiPageLength "31299".
Non-uniform_rational_B-spline wikiPageOutDegree "78".
Non-uniform_rational_B-spline wikiPageRevisionID "680177965".
Non-uniform_rational_B-spline wikiPageWikiLink 3D_computer_graphics_software.
Non-uniform_rational_B-spline wikiPageWikiLink 3D_modeling.
Non-uniform_rational_B-spline wikiPageWikiLink ACIS.
Non-uniform_rational_B-spline wikiPageWikiLink Affine_transformation.
Non-uniform_rational_B-spline wikiPageWikiLink Algorithm.
Non-uniform_rational_B-spline wikiPageWikiLink Animation.
Non-uniform_rational_B-spline wikiPageWikiLink Autodesk_Maya.
Non-uniform_rational_B-spline wikiPageWikiLink B-spline.
Non-uniform_rational_B-spline wikiPageWikiLink Bi-cubic.
Non-uniform_rational_B-spline wikiPageWikiLink Bicubic_interpolation.
Non-uniform_rational_B-spline wikiPageWikiLink Bézier_curve.
Non-uniform_rational_B-spline wikiPageWikiLink Bézier_surface.
Non-uniform_rational_B-spline wikiPageWikiLink CAD.
Non-uniform_rational_B-spline wikiPageWikiLink Category:3D_computer_graphics.
Non-uniform_rational_B-spline wikiPageWikiLink Category:Computer-aided_design.
Non-uniform_rational_B-spline wikiPageWikiLink Category:Interpolation.
Non-uniform_rational_B-spline wikiPageWikiLink Category:Multivariate_interpolation.
Non-uniform_rational_B-spline wikiPageWikiLink Category:Splines.
Non-uniform_rational_B-spline wikiPageWikiLink Citroën.
Non-uniform_rational_B-spline wikiPageWikiLink Compass_(drafting).
Non-uniform_rational_B-spline wikiPageWikiLink Compass_(drawing_tool).
Non-uniform_rational_B-spline wikiPageWikiLink Computer-aided_design.
Non-uniform_rational_B-spline wikiPageWikiLink Computer-aided_engineering.
Non-uniform_rational_B-spline wikiPageWikiLink Computer-aided_manufacturing.
Non-uniform_rational_B-spline wikiPageWikiLink Computer_aided_design.
Non-uniform_rational_B-spline wikiPageWikiLink Computer_graphics.
Non-uniform_rational_B-spline wikiPageWikiLink Conic_section.
Non-uniform_rational_B-spline wikiPageWikiLink Conics.
Non-uniform_rational_B-spline wikiPageWikiLink Continuous_function.
Non-uniform_rational_B-spline wikiPageWikiLink Curvature.
Non-uniform_rational_B-spline wikiPageWikiLink De_Boors_algorithm.
Non-uniform_rational_B-spline wikiPageWikiLink Differentiable.
Non-uniform_rational_B-spline wikiPageWikiLink Differentiable_function.
Non-uniform_rational_B-spline wikiPageWikiLink Differential_geometry.
Non-uniform_rational_B-spline wikiPageWikiLink Dimension.
Non-uniform_rational_B-spline wikiPageWikiLink Dimensionality.
Non-uniform_rational_B-spline wikiPageWikiLink Elasticity_(physics).
Non-uniform_rational_B-spline wikiPageWikiLink File:NURBS-circle-3D.png.
Non-uniform_rational_B-spline wikiPageWikiLink File:NURBS_3-D_surface.gif.
Non-uniform_rational_B-spline wikiPageWikiLink File:Nurbsbasislin2.png.
Non-uniform_rational_B-spline wikiPageWikiLink File:Nurbsbasisquad2.png.
Non-uniform_rational_B-spline wikiPageWikiLink Formula.
Non-uniform_rational_B-spline wikiPageWikiLink France.
Non-uniform_rational_B-spline wikiPageWikiLink Freeform_curve.
Non-uniform_rational_B-spline wikiPageWikiLink Freeform_surface_modelling.
Non-uniform_rational_B-spline wikiPageWikiLink Geometric_continuity.
Non-uniform_rational_B-spline wikiPageWikiLink IGES.
Non-uniform_rational_B-spline wikiPageWikiLink ISO_10303.
Non-uniform_rational_B-spline wikiPageWikiLink Invariant_(mathematics).
Non-uniform_rational_B-spline wikiPageWikiLink Isaac_Jacob_Schoenberg.
Non-uniform_rational_B-spline wikiPageWikiLink Isogeometric_analysis.
Non-uniform_rational_B-spline wikiPageWikiLink Mathematical_induction.
Non-uniform_rational_B-spline wikiPageWikiLink Numerical_stability.
Non-uniform_rational_B-spline wikiPageWikiLink Numerically_stable.
Non-uniform_rational_B-spline wikiPageWikiLink PHIGS.
Non-uniform_rational_B-spline wikiPageWikiLink Parametric_continuity.
Non-uniform_rational_B-spline wikiPageWikiLink Paul_de_Casteljau.
Non-uniform_rational_B-spline wikiPageWikiLink Pierre_Bézier.
Non-uniform_rational_B-spline wikiPageWikiLink Point_cloud.
Non-uniform_rational_B-spline wikiPageWikiLink Polynomial.
Non-uniform_rational_B-spline wikiPageWikiLink Protractor.
Non-uniform_rational_B-spline wikiPageWikiLink Rational_motion.
Non-uniform_rational_B-spline wikiPageWikiLink Ray_tracing_(graphics).
Non-uniform_rational_B-spline wikiPageWikiLink Reflection_mapping.
Non-uniform_rational_B-spline wikiPageWikiLink Renault.
Non-uniform_rational_B-spline wikiPageWikiLink Rhinoceros_3D.
Non-uniform_rational_B-spline wikiPageWikiLink Ruler.
Non-uniform_rational_B-spline wikiPageWikiLink Scalar_(mathematics).
Non-uniform_rational_B-spline wikiPageWikiLink Silicon_Graphics.
Non-uniform_rational_B-spline wikiPageWikiLink Smoothness.
Non-uniform_rational_B-spline wikiPageWikiLink Spline_(mathematics).
Non-uniform_rational_B-spline wikiPageWikiLink Subdivision_surface.
Non-uniform_rational_B-spline wikiPageWikiLink Subdivision_surfaces.
Non-uniform_rational_B-spline wikiPageWikiLink Surface.
Non-uniform_rational_B-spline wikiPageWikiLink T-Spline_(mathematics).
Non-uniform_rational_B-spline wikiPageWikiLink T-spline.
Non-uniform_rational_B-spline wikiPageWikiLink Technical_University_of_Berlin.
Non-uniform_rational_B-spline wikiPageWikiLink Technical_drawing.
Non-uniform_rational_B-spline wikiPageWikiLink Tensor_product.
Non-uniform_rational_B-spline wikiPageWikiLink Triangle_mesh.
Non-uniform_rational_B-spline wikiPageWikiLink Weight_function.
Non-uniform_rational_B-spline wikiPageWikiLink Weighted.
Non-uniform_rational_B-spline wikiPageWikiLink File:Motoryacht_design_i.png.
Non-uniform_rational_B-spline wikiPageWikiLink File:NURBstatic.svg.
Non-uniform_rational_B-spline wikiPageWikiLink File:Nurbsbasisconstruct.svg.
Non-uniform_rational_B-spline wikiPageWikiLink File:Surface_modelling.svg.
Non-uniform_rational_B-spline wikiPageWikiLinkText "NURBS".
Non-uniform_rational_B-spline wikiPageWikiLinkText "Non-uniform rational B-spline".
Non-uniform_rational_B-spline wikiPageWikiLinkText "Nurbs".
Non-uniform_rational_B-spline wikiPageWikiLinkText "non-uniform rational B-spline".