Rational quadratic B-spline curves with monotone curvature

Zhong Li; Li Z. Ma; Dereck S. Meek

Rational quadratic B-spline curves with monotone curvature

Zhong Li^*
, Li Z. Ma
, Dereck S. Meek

^*Corresponding author for this work

Zhejiang Sci-Tech University
Shanghai Jiao Tong University
University of Manitoba

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

Abstract

The monotone curvature condition for rational quadratic B-spline curves is studied by using Bernstein base transformation. At first, we present the necessary and sufficient conditions of monotone curvature for the uniform rational quadratic B-spline segment. Then, we give the sufficient condition of monotone curvature for the nonuniform rational quadratic B-spline segment. At last, we obtain the condition of monotone curvature for general rational quadratic B-spline curves with any number of control points.

Original language	English
Pages (from-to)	119-127
Number of pages	9
Journal	Journal of Information and Computational Science
Volume	4
Issue number	1
State	Published - Mar 2007
Externally published	Yes

Keywords

Monotone curvature
Rational quadratic B-spline curve
Rational quadratic Bezier curve

Cite this

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title = "Rational quadratic B-spline curves with monotone curvature",

abstract = "The monotone curvature condition for rational quadratic B-spline curves is studied by using Bernstein base transformation. At first, we present the necessary and sufficient conditions of monotone curvature for the uniform rational quadratic B-spline segment. Then, we give the sufficient condition of monotone curvature for the nonuniform rational quadratic B-spline segment. At last, we obtain the condition of monotone curvature for general rational quadratic B-spline curves with any number of control points.",

keywords = "Monotone curvature, Rational quadratic B-spline curve, Rational quadratic Bezier curve",

author = "Zhong Li and Ma, \{Li Z.\} and Meek, \{Dereck S.\}",

year = "2007",

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T1 - Rational quadratic B-spline curves with monotone curvature

AU - Li, Zhong

AU - Ma, Li Z.

AU - Meek, Dereck S.

PY - 2007/3

Y1 - 2007/3

N2 - The monotone curvature condition for rational quadratic B-spline curves is studied by using Bernstein base transformation. At first, we present the necessary and sufficient conditions of monotone curvature for the uniform rational quadratic B-spline segment. Then, we give the sufficient condition of monotone curvature for the nonuniform rational quadratic B-spline segment. At last, we obtain the condition of monotone curvature for general rational quadratic B-spline curves with any number of control points.

AB - The monotone curvature condition for rational quadratic B-spline curves is studied by using Bernstein base transformation. At first, we present the necessary and sufficient conditions of monotone curvature for the uniform rational quadratic B-spline segment. Then, we give the sufficient condition of monotone curvature for the nonuniform rational quadratic B-spline segment. At last, we obtain the condition of monotone curvature for general rational quadratic B-spline curves with any number of control points.

KW - Monotone curvature

KW - Rational quadratic B-spline curve

KW - Rational quadratic Bezier curve

UR - https://www.scopus.com/pages/publications/34547783345

M3 - 文章

AN - SCOPUS:34547783345

SN - 1548-7741

VL - 4

SP - 119

EP - 127

JO - Journal of Information and Computational Science

JF - Journal of Information and Computational Science

IS - 1

ER -

Rational quadratic B-spline curves with monotone curvature

Abstract

Keywords

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