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spline surface

См. также в других словарях:

  • Spline (mathematics) — A quadratic spline composed of six polynomial segments. Between point 0 and point 1 a straight line. Between point 1 and point 2 a parabola with second derivative = 4. Between point 2 and point 3 a parabola with second derivative = 2. Between… …   Wikipedia

  • Subdivision surface — A subdivision surface, in the field of 3D computer graphics, is a method of representing a smooth surface via the specification of a coarser piecewise linear polygon mesh. The smooth surface can be calculated from the coarse mesh as the limit of… …   Wikipedia

  • Bézier surface — Bézier surfaces are a species of mathematical spline used in computer graphics, computer aided design, and finite element modelling. As with the Bézier curve, a Bézier surface is defined by a set of control points. Similar to interpolation in… …   Wikipedia

  • Nonuniform rational B-spline — Non uniform rational B spline (NURBS) is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. History Development of NURBS (Non Uniform Rational Basis Spline) began in the 1950s by engineers …   Wikipedia

  • Non-uniform rational B-spline — Three dimensional NURBS surfaces can have complex, organic shapes. Control points influence the directions the surface takes. The outermost square below delineates the X/Y extents of the surface …   Wikipedia

  • Freeform surface modelling — is the art of engineering Freeform Surfaces with a CAD or CAID system. Introduction The technology encompasses two main fields. Either creating aesthetic (Class A surfaces) that also perform a function; for example, car bodies and consumer… …   Wikipedia

  • Flat spline — A spline consists of a long strip fixed in position at a number of points that relaxes to form a smooth curve passing through those points.Before computers were used for creating engineering designs, drafting tools were employed by designers… …   Wikipedia

  • Thin plate spline — This is a brief derivation for the closed form solutions for smoothing Thin Plate Spline . Details about these splines can be found in (Wahba, 1990).Thin plate splines (TPS) were introduced to geometric design by Duchon (Duchon, 1976). The name… …   Wikipedia

  • Polyharmonic spline — In mathematics, polyharmonic splines are used for function approximation and data interpolation.They are very useful for interpolation of scattered datain many dimensions.Polyharmonic splines are a special case of radial basis functions andare… …   Wikipedia

  • Catmull–Clark subdivision surface — In computer graphics, the Catmull–Clark algorithm is used in subdivision surface modeling to create smooth surfaces. It was devised by Edwin Catmull (of Pixar) and Jim Clark in 1978 as a generalization of bi cubic uniform B spline surfaces to… …   Wikipedia

  • Parametric surface — A parametric surface is a surface in the Euclidean space R3 which is defined by a parametric equation with two parameters. Parametric representation is the most general way to specify a surface. Surfaces that occur in two of the main theorems of… …   Wikipedia

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