robotics control and mechatronics
非均匀有理B样条
Non-Uniform Rational B-SplinesA mathematical model commonly used in computer graphics and computer-aided design (CAD) to represent and manipulate curves and surfaces. It is a generalization of both B-splines and Bézier curves and surfaces. / 一种常用于计算机图形学和计算机辅助设计（CAD）中表示和操作曲线与曲面的数学模型。它是B样条和Bézier曲线与曲面的推广。
- Knowledge type
- 数学理论
- First proposed or discovered
- Proposer
- Turkey Farm member
- Creator
- 农场主
- Last updated
- 2026-11-03 22:06:19
Sub-knowledge points
B-Spline Basis FunctionsBézier Curves and SurfacesSurface Intersection Algorithms
Higher-order knowledge points
Computer-Aided DesignGeometric ModelingRobotics Kinematics
Main parameters and performance indicators
Degree: The polynomial degree of the basis functions.Knot Vector: A non-decreasing sequence of parameters that defines the intervals of the basis functions.Control Points: A set of points that define the shape of the curve or surface.Weights: Rational weights associated with the control points that allow for exact representation of conic sections.
Open problems
No unresolved problem recorded yet
Related literature
ranked by community starsIntersection of two NURBS surfaces with tolerance controlOpen source
Related products and links
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Creation and modification trail
1 recordsRecord title: Non-Uniform Rational B-Splines.
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