Knot Vector Generation for B-Spline Interpolation

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration is concerned with the problem of interpolating a given point set by a B-spline curve. We illustrate the influence of different choices for the curve's knot vector and parameter vector. The quality of the interpolation varies dramatically depending on these choices, and certain combinations lead to highly oscillating interpolants. A uniform knot vector combined with a chordal parameter vector often yields oscillations or erratic behavior (red curve). Combining a uniform knot vector with a centripetal parameter vector improves the result a bit (blue curve), but the best result is obtained for an average knot vector combined with a chordal (or centripetal) parameter vector (green curve).

Contributed by: Isabelle Cattiaux-Huillard and Gudrun Albrecht (August 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

$Failed


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send