Gaining an intuitive understanding for NURBS is difficult without directly seeing the effects of different control point position, weight vectors, and knot vectors. This grasshopper component allows ...

If there is one invention in mathematics that is the most revolutionary, the most beautiful, and the most practical, it is undoubtedly the "coordinate". It is that grid of the "x-axis" and "y-axis" ...

A Bézier curve (and triangle, etc.) is a parametric curve that uses the Bernstein basis: to define a curve as a linear combination: This comes from the fact that the weights sum to one: This can be ...

Abstract: We present a practical framework to port Bézier curves to surfaces. We support the interactive drawing and editing of Bézier splines on manifold meshes with millions of triangles, by relying ...

Abstract: There are several techniques used for plotting a Bézier curve, i.e., using direct Bernstein basis computation, employing the de Casteljau algorithm, and polar form approach. However, all of ...