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Bézier Spline (other)
Depending on the author, Bézier spline may refer to: * a Bézier curve A Bézier curve ( , ) is a parametric equation, parametric curve used in computer graphics and related fields. A set of discrete "control points" defines a smooth, continuous curve by means of a formula. Usually the curve is intended to approxima ... or * a composite Bézier curve {{DEFAULTSORT:Bezier spline Mathematics disambiguation pages ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bézier Curve
A Bézier curve ( , ) is a parametric equation, parametric curve used in computer graphics and related fields. A set of discrete "control points" defines a smooth, continuous curve by means of a formula. Usually the curve is intended to approximate a real-world shape that otherwise has no mathematical representation or whose representation is unknown or too complicated. The Bézier curve is named after France, French engineer Pierre Bézier (1910–1999), who used it in the 1960s for designing curves for the bodywork of Renault cars. Other uses include the design of computer fonts and animation. Bézier curves can be combined to form a Composite Bézier curve, Bézier spline, or generalized to higher dimensions to form Bézier surfaces. The Bézier triangle is a special case of the latter. In vector graphics, Bézier curves are used to model smooth curves that can be scaled indefinitely. "Paths", as they are commonly referred to in image manipulation programs, are combinations of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Composite Bézier Curve
In geometric modelling and in computer graphics, a composite Bézier curve or Bézier spline is a Spline (mathematics), spline made out of Bézier curves that is at least C^0 continuous function, continuous. In other words, a composite Bézier curve is a series of Bézier curves joined end to end where the last point of one curve coincides with the starting point of the next curve. Depending on the application, additional smoothness requirements (such as C^1 or C^2 continuity) may be added. A continuous composite Bézier is also called a polybézier, by similarity to polyline, but whereas in polylines the points are connected by straight lines, in a polybézier the points are connected by Bézier curves. A béziergon (also called bézigon) is a closed path composed of Bézier curves. It is similar to a polygon in that it connects a set of vertex (geometry), vertices by lines, but whereas in polygons the vertices are connected by straight lines, in a béziergon the vertices are con ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
