Geometric curve approximation

Hans J. Wolters; Gerald Farin

doi:10.1016/S0167-8396(96)00042-8

Geometric curve approximation

Hans J. Wolters, Gerald Farin

Computing and Augmented Intelligence, School of (IAFSE-SCAI)

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

13 Scopus citations

Abstract

We present a new metric to measure the shape quality of curves. This metric is based upon the concept of total curvature. We then present a rational approximation scheme that minimizes a functional defined in terms of this metric.

Original language	English (US)
Pages (from-to)	499-513
Number of pages	15
Journal	Computer Aided Geometric Design
Volume	14
Issue number	6
DOIs	https://doi.org/10.1016/S0167-8396(96)00042-8
State	Published - Aug 1997

Keywords

Approximation
Geometric continuity
Rational curves
Shape preservation

ASJC Scopus subject areas

Modeling and Simulation
Automotive Engineering
Aerospace Engineering
Computer Graphics and Computer-Aided Design

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10.1016/S0167-8396(96)00042-8

Cite this

@article{eb5d83de99974008a8c82019b051193a,

title = "Geometric curve approximation",

abstract = "We present a new metric to measure the shape quality of curves. This metric is based upon the concept of total curvature. We then present a rational approximation scheme that minimizes a functional defined in terms of this metric.",

keywords = "Approximation, Geometric continuity, Rational curves, Shape preservation",

author = "Wolters, {Hans J.} and Gerald Farin",

note = "Funding Information: This research was supported in part by NSF Grant DM 9123527 to Arizona State University.",

year = "1997",

month = aug,

doi = "10.1016/S0167-8396(96)00042-8",

language = "English (US)",

volume = "14",

pages = "499--513",

journal = "Computer Aided Geometric Design",

issn = "0167-8396",

publisher = "Elsevier",

number = "6",

}

TY - JOUR

T1 - Geometric curve approximation

AU - Wolters, Hans J.

AU - Farin, Gerald

N1 - Funding Information: This research was supported in part by NSF Grant DM 9123527 to Arizona State University.

PY - 1997/8

Y1 - 1997/8

N2 - We present a new metric to measure the shape quality of curves. This metric is based upon the concept of total curvature. We then present a rational approximation scheme that minimizes a functional defined in terms of this metric.

AB - We present a new metric to measure the shape quality of curves. This metric is based upon the concept of total curvature. We then present a rational approximation scheme that minimizes a functional defined in terms of this metric.

KW - Approximation

KW - Geometric continuity

KW - Rational curves

KW - Shape preservation

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U2 - 10.1016/S0167-8396(96)00042-8

DO - 10.1016/S0167-8396(96)00042-8

M3 - Article

AN - SCOPUS:0031195479

SN - 0167-8396

VL - 14

SP - 499

EP - 513

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

IS - 6

ER -

Geometric curve approximation

Abstract

Keywords

ASJC Scopus subject areas

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