B-spline curves and surfaces viewed as digital filters

Ardeshir Goshtasby; Fuhua Cheng; Brian A. Barsky

doi:10.1016/0734-189X(90)90058-4

B-spline curves and surfaces viewed as digital filters

Ardeshir Goshtasby
, Fuhua Cheng
, Brian A. Barsky

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	264-275
Number of pages	12
Journal	Computer Vision, Graphics and Image Processing
Volume	52
Issue number	2
DOIs	https://doi.org/10.1016/0734-189X(90)90058-4
State	Published - Nov 1990

ASJC Scopus subject areas

General Environmental Science
General Engineering
General Earth and Planetary Sciences

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10.1016/0734-189X(90)90058-4

Cite this

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title = "B-spline curves and surfaces viewed as digital filters",

abstract = "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.",

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AU - Cheng, Fuhua

AU - Barsky, Brian A.

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N2 - 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.

AB - 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.

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U2 - 10.1016/0734-189X(90)90058-4

DO - 10.1016/0734-189X(90)90058-4

M3 - Article

AN - SCOPUS:0025629257

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EP - 275

JO - Computer Vision, Graphics and Image Processing

JF - Computer Vision, Graphics and Image Processing

IS - 2

ER -

B-spline curves and surfaces viewed as digital filters

Abstract

ASJC Scopus subject areas

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