𝔖 Bobbio Scriptorium
✦   LIBER   ✦

B-Spline curves and surfaces viewed as digital filters

✍ Scribed by Ardeshir Goshtasby; Fuhua Cheng

Publisher
Elsevier Science
Year
1989
Weight
85 KB
Volume
45
Category
Article
ISSN
0734-189X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we show that B-spline curves and surfaces can be viewed as digital filters. Viewing B-spline problems as digital filters allows one to predict some properties of the generated curves and surfaces.

We find that even-order B-splines and odd-order B-splines behave differently when used in curve and surface interpolation.

Even-order B-splines generate smoother curves and surfaces than do odd-order B-splines.

Aakrptive Multiscale Feature Extraction from Range Data.

πŸ“œ SIMILAR VOLUMES

B-spline curves and surfaces viewed as d
B-spline curves and surfaces viewed as digital filters
✍ Ardeshir Goshtasby; Fuhua Cheng; Brian A Barsky πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science βš– 752 KB

In this paper, we show that B-spline curves and surfaces can be viewed as digital filters. Viewing B-spline problems as digital filters allows one to predict some properties of the generated curves and surfaces. We find that even-order B-splines and odd-order B-splines behave differently when used i

Even degree B-spline curves and surfaces
Even degree B-spline curves and surfaces: A note on the paper β€œB-spline Curves and Surfaces Viewed as Digital Filters” by A. Goshtasby, F. Cheng, and B. Barsky
✍ Christophe Rabut πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science βš– 510 KB

This paper compares two different ways of building B-spline curves and surfaces for even degree polynomial splines. Viewing these problems as digital filters, we find that one way gives better results than the other one. This paper is intended to be a reflection and a continuation of the paper "B-sp

Parametrization of BΓ©zier-type B-spline
Parametrization of BΓ©zier-type B-spline curves and surfaces
✍ P.J. Hartley; C.J. Judd πŸ“‚ Article πŸ“… 1978 πŸ› Elsevier Science 🌐 English βš– 440 KB

Sections of parametric surfaces defined by equally spaced parameter values can be very unevenly spaced physically. This can cause practical problems when the surface is to be drawn or machined automatically. This paper describes a method for imposing a good parametrization on a curve constructed by

An efficient algorithm for generating B-
An efficient algorithm for generating B-spline interpolation curves and surfaces from B-spline approximations
✍ Wang, Hui Ping ;Hewgill, Denton E. ;Vickers, Geoffrey W. πŸ“‚ Article πŸ“… 1990 πŸ› Wiley (John Wiley & Sons) 🌐 English βš– 302 KB πŸ‘ 1 views

A useful and simple algorithm is presented for interactively generating B-spline interpolation curves and surfaces from B-spline approximation solutions. The difference between the data points and the B-spline approximation is used to modify the control vertices in order to generate a succession of