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Non-uniform rational basis spline (NURBS) is a mathematical model using basis splines (B-splines) that is commonly used in computer graphics for representing curves and surfaces. It offers great flexibility and precision for handling both analytic (defined by common mathematical formulae ) and modeled shapes .
Amiga Reflections is a 3D modeling and rendering software developed by Carsten Fuchs for the Amiga. Anim8or is a proprietary freeware 3D rendering and animation package. Animation:Master from HASH, Inc is a modeling and animation package that focuses on ease of use. It is a spline-based modeler. Its strength lies in character animation.
Modeling, computer aided design, rapid prototyping, 3D printing Proprietary: LightWave 3D: 2020-08-07 v 2020.0.2 LightWave Digital macOS, Windows, Amiga OS [6] Modeling, animation, lighting, rendering, film and television previz, videogame asset creation Proprietary: MASSIVE? v 3.5 Massive Software Windows, Linux: Artificial intelligence in ...
The method is termed active spline model. [5] The model is devised on the basis of active shape model, but uses centripetal Catmull-Rom spline to join two successive points (active shape model uses simple straight line), so that the total number of points necessary to depict a shape is less. The use of centripetal Catmull-Rom spline makes the ...
The 3D model can be physically created using 3D printing devices that form 2D layers of the model with three-dimensional material, one layer at a time. Without a 3D model, a 3D print is not possible. 3D modeling software is a class of 3D computer graphics software used to produce 3D models. Individual programs of this class are called modeling ...
The mathematical spline that most closely models the flat spline is a cubic (n = 3), twice continuously differentiable (C 2), natural spline, which is a spline of this classical type with additional conditions imposed at endpoints a and b.
A NURBS curve represents a 1D perfectly smooth curve in 2D or 3D space. To represent a three-dimensional solid object, or a patch of one, B-Spline or NURBS curves are extended to surfaces. These surfaces consist of a rectangular grid of control points, called a control grid or control net, and two knot vectors, commonly called U and V.
The geometry of a single bicubic patch is thus completely defined by a set of 16 control points. These are typically linked up to form a B-spline surface in a similar way as Bézier curves are linked up to form a B-spline curve. Simpler Bézier surfaces are formed from biquadratic patches (m = n = 2), or Bézier triangles.