Regular algebraic curve segments (II)—Interpolation and approximation

Guoliang Xu; Chandrajit L. Bajaj; Chuan I Chu

doi:10.1016/S0167-8396(00)00013-3

Regular algebraic curve segments (II)—Interpolation and approximation

Guoliang Xu
, Chandrajit L. Bajaj
, Chuan I Chu

Research output: Contribution to journal › Journal article › peer-review

8 Citations (Scopus)

Abstract

In this paper (part two of the trilogy) we introduce three classes of reduced form -regular algebraic curve splines and use them for interpolation and approximation of various algebraic curves. Explicit formulas for interpolation and approximation are also given in some low degree cases.

Original language	English
Pages (from-to)	503-519
Number of pages	17
Journal	Computer Aided Geometric Design
Volume	17
Issue number	6
DOIs	https://doi.org/10.1016/S0167-8396(00)00013-3
Publication status	Published - Jul 2000
Externally published	Yes

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10.1016/S0167-8396(00)00013-3

Cite this

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title = "Regular algebraic curve segments (II)—Interpolation and approximation",

abstract = "In this paper (part two of the trilogy) we introduce three classes of reduced form -regular algebraic curve splines and use them for interpolation and approximation of various algebraic curves. Explicit formulas for interpolation and approximation are also given in some low degree cases.",

author = "Guoliang Xu and Bajaj, \{Chandrajit L.\} and Chu, \{Chuan I\}",

note = "Funding Information: Chandrajit L. Bajaj supported in part by NSF grant CCR 92-22467, AFORS grant F49620-97-1-0278 and ONR contract N00014-97-1-0398. Guoliang Xu Project 19671081 supported by NSFC. Chuan I Chu supported by FRG of Hong Kong Baptist University. Publisher copyright: {\textcopyright} 2000 Elsevier Science B.V. All rights reserved.",

year = "2000",

month = jul,

doi = "10.1016/S0167-8396(00)00013-3",

language = "English",

volume = "17",

pages = "503--519",

journal = "Computer Aided Geometric Design",

issn = "0167-8396",

publisher = "Elsevier B.V.",

number = "6",

}

TY - JOUR

T1 - Regular algebraic curve segments (II)—Interpolation and approximation

AU - Xu, Guoliang

AU - Bajaj, Chandrajit L.

AU - Chu, Chuan I

N1 - Funding Information: Chandrajit L. Bajaj supported in part by NSF grant CCR 92-22467, AFORS grant F49620-97-1-0278 and ONR contract N00014-97-1-0398. Guoliang Xu Project 19671081 supported by NSFC. Chuan I Chu supported by FRG of Hong Kong Baptist University. Publisher copyright: © 2000 Elsevier Science B.V. All rights reserved.

PY - 2000/7

Y1 - 2000/7

N2 - In this paper (part two of the trilogy) we introduce three classes of reduced form -regular algebraic curve splines and use them for interpolation and approximation of various algebraic curves. Explicit formulas for interpolation and approximation are also given in some low degree cases.

AB - In this paper (part two of the trilogy) we introduce three classes of reduced form -regular algebraic curve splines and use them for interpolation and approximation of various algebraic curves. Explicit formulas for interpolation and approximation are also given in some low degree cases.

UR - https://www.scopus.com/pages/publications/0034230873

U2 - 10.1016/S0167-8396(00)00013-3

DO - 10.1016/S0167-8396(00)00013-3

M3 - Journal article

AN - SCOPUS:0034230873

SN - 0167-8396

VL - 17

SP - 503

EP - 519

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

IS - 6

ER -

Regular algebraic curve segments (II)—Interpolation and approximation

Abstract

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