In numerical analysis, a B-spline (short for basis spline) is a type of spline function designed to have minimal support (overlap) for a given degree...

In mathematics, a spline is a function defined piecewise by polynomials. In interpolating problems, spline interpolation is often preferred to polynomial...

analysis, spline interpolation is a form of interpolation where the interpolant is a special type of piecewise polynomial called a spline. That is, instead...

Non-uniform rational basis spline (NURBS) is a mathematical model using basis splines (B-splines) that is commonly used in computer graphics for representing...

wavelets, a spline wavelet is a wavelet constructed using a spline function. There are different types of spline wavelets. The interpolatory spline wavelets...

In computer graphics, a T-spline is a mathematical model for defining freeform surfaces. A T-spline surface is a type of surface defined by a network...

sample the appropriate normalized B-spline basis functions instead of convolving discrete-time windows. A kth-order B-spline basis function is a piece-wise...

therefore they integrate well with the existing NURBS (Non-Uniform Rational B-Spline) based industry standard CAD/CAM systems. They are readily amenable to...

Smoothing splines are function estimates, f ^ ( x ) {\displaystyle {\hat {f}}(x)} , obtained from a set of noisy observations y i {\displaystyle y_{i}}...

polynomial-time and numerically stable algorithm for evaluating spline curves in B-spline form. It is a generalization of de Casteljau's algorithm for Bézier...

method’s strengths. These issues can be address by incorporating cubic B-spline functions with C squared continuity across element boundaries as the global...

frequency B-spline wavelets. These frequency B-spline wavelets are complex wavelets whose spectrum are spline. fbsp ( m − f b − f c ) ⁡ ( t ) := f b sinc m...

or a swept surface, or B-spline surface. The boundaries are defined by lines, conics, polylines, surface curves, or b spline curves ISO 10303-514 Advanced...

is analogous to spline surfaces and curves, where Bézier curves are required to interpolate certain control points, while B-Splines are not (and are...

Implementation of Bézier and B-Spline Geometry. SAND2022-7702C. (153 pages) Computer code TinySpline: Open source C-library for NURBS, B-splines and Bézier curves...

functions can be introduced in this context, such as B-splines, NURBS and T-splines. B-splines can be derived recursively from a piecewise constant function...

In computer graphics, the centripetal Catmull–Rom spline is a variant form of the Catmull–Rom spline, originally formulated by Edwin Catmull and Raphael...

modelling and in computer graphics, a composite Bézier curve or Bézier spline is a spline made out of Bézier curves that is at least C 0 {\displaystyle C^{0}}...

Akima spline is a type of non-smoothing spline that gives good fits to curves where the second derivative is rapidly varying. The Akima spline was published...

In numerical analysis, a cubic Hermite spline or cubic Hermite interpolator is a spline where each piece is a third-degree polynomial specified in Hermite...

cubic B-spline curves, and in 1979, de Boor independently proposed this algorithm. In 2004, Hongwei Lin and coauthors proved that non-uniform cubic B-spline...

Bézier surfaces are a type of mathematical spline used in computer graphics, computer-aided design, and finite element modeling. As with Bézier curves...

Catmull and Jim Clark in 1978 as a generalization of bi-cubic uniform B-spline surfaces to arbitrary topology. In 2005/06, Edwin Catmull, together with...

decider Augmented reality Axis-aligned bounding box Axonometric projection B-spline Back-face culling Barycentric coordinate system Beam tracing Bézier curve...

convolution with the constant B-spline (a rectangular pulse). For example, four iterations of a moving average yield a cubic B-spline as a filter window, which...

useful to speedup the clipping or visibility test of a B-Spline curve. See "Circle and B-Splines clipping algorithms" under the subject Clipping (computer...

wave, a piecewise linear periodic function Trigonometric functions "Basic properties of splines and B-splines" (PDF). INF-MAT5340 Lecture Notes. p. 38....

The Mitchell–Netravali filters or BC-splines are a group of reconstruction filters used primarily in computer graphics, which can be used, for example...

modeling kernel. It is pitched as CAD for artists. Non-uniform rational B-spline Solid modeling Polygon mesh modeling Boolean operations Real-time rendering...

In mathematics, a Kochanek–Bartels spline or Kochanek–Bartels curve is a cubic Hermite spline with tension, bias, and continuity parameters defined to...