样条曲线、B 样条曲线和贝塞尔曲线之间的区别

1. 样条：
样条曲线是一种数学表示，很容易构建一个界面，允许用户设计和控制复杂曲线和曲面的形状。

2. B样条：
B-Spline 是一个包含一组控制点的基函数。 B-Spline 曲线由具有有限灵活性的 Bernstein 基函数指定。

3. 贝塞尔：
这些曲线由边界条件、特征矩阵或混合函数。贝塞尔曲线部分可以由任意数量的控制点填充。要逼近的控制点的数量及其相对位置决定了贝塞尔多项式的次数。

样条曲线、B 样条曲线和贝塞尔曲线之间的区别：

Spline	B-Spline	Bezier
A spline curve can be specified by giving a specified set of coordinate positions, called control points which indicate the general shape of the curve.	The B-Spline curves are specified by Bernstein basis function that has limited flexibiity.	The Bezier curves can be specified with boundary conditions, with a characterizing matrix or with blending function.
It follows the general shape of the curve.	These curves are a result of the use of open uniform basis function.	The curve generally follows the shape of a defining polygon.
Typical CAD application for spline include the design of automobile bodies, aircraft and spacecraft surfaces and ship hulls.	These curves can be used to construct blending curves.	These are found in painting and drawing packages as well as in CAD applications.
It possess a high degree of smoothness at the places where the polynomial pieces connect.	The B-Spline allows the order of the basis function and hence the degree of the resulting curve is independent of number of vertices.	The degree of the polynomial defining the curve segment is one less than the number of defining polygon point.
A spline curve is a mathematical representation for which it is easy to build an interface that will allow a user to design and control the shape of complex curves and surfaces.	In B-Spline, there is local control over the curve surface and the shape of the curve is affected by every vertex.	It is a parametric curve used in related fields.