Curves with quadric boundary precision

D. Hansford; R. E. Barnhill; G. Farin

doi:10.1016/0167-8396(94)90302-6

Curves with quadric boundary precision

D. Hansford, R. E. Barnhill, G. Farin

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

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

6 Scopus citations

Abstract

We describe a method for constructing rational quadratic patch boundary curves for scattered data in R³. The method has quadric boundary precision; if the given point and normal data are extracted from a quadric, then the boundary curves will lie on this quadric. Each boundary curve is a conic section represented in the rational Bézier representation.

Original language	English (US)
Pages (from-to)	519-531
Number of pages	13
Journal	Computer Aided Geometric Design
Volume	11
Issue number	5
DOIs	https://doi.org/10.1016/0167-8396(94)90302-6
State	Published - Oct 1994

Keywords

Bézier triangles
Quadrics
Scattered data interpolation
rational curves

ASJC Scopus subject areas

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

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10.1016/0167-8396(94)90302-6

Cite this

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title = "Curves with quadric boundary precision",

abstract = "We describe a method for constructing rational quadratic patch boundary curves for scattered data in R3. The method has quadric boundary precision; if the given point and normal data are extracted from a quadric, then the boundary curves will lie on this quadric. Each boundary curve is a conic section represented in the rational B{\'e}zier representation.",

keywords = "B{\'e}zier triangles, Quadrics, Scattered data interpolation, rational curves",

author = "D. Hansford and Barnhill, {R. E.} and G. Farin",

note = "Funding Information: The authors would like to thank T. Foley, A . Rockwood, A . Worsey, and a referee for their comments . This work was supported in part by the Department of Energy through grant DE-FG0287ER2504I, and the National Science Foundation through grant DMC-8807747, both awarded to Arizona State University . Additionally, this work was supported in part by a Fulbright Junior Research grant awarded to Hansford .",

year = "1994",

month = oct,

doi = "10.1016/0167-8396(94)90302-6",

language = "English (US)",

volume = "11",

pages = "519--531",

journal = "Computer Aided Geometric Design",

issn = "0167-8396",

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TY - JOUR

T1 - Curves with quadric boundary precision

AU - Hansford, D.

AU - Barnhill, R. E.

AU - Farin, G.

N1 - Funding Information: The authors would like to thank T. Foley, A . Rockwood, A . Worsey, and a referee for their comments . This work was supported in part by the Department of Energy through grant DE-FG0287ER2504I, and the National Science Foundation through grant DMC-8807747, both awarded to Arizona State University . Additionally, this work was supported in part by a Fulbright Junior Research grant awarded to Hansford .

PY - 1994/10

Y1 - 1994/10

N2 - We describe a method for constructing rational quadratic patch boundary curves for scattered data in R3. The method has quadric boundary precision; if the given point and normal data are extracted from a quadric, then the boundary curves will lie on this quadric. Each boundary curve is a conic section represented in the rational Bézier representation.

AB - We describe a method for constructing rational quadratic patch boundary curves for scattered data in R3. The method has quadric boundary precision; if the given point and normal data are extracted from a quadric, then the boundary curves will lie on this quadric. Each boundary curve is a conic section represented in the rational Bézier representation.

KW - Bézier triangles

KW - Quadrics

KW - Scattered data interpolation

KW - rational curves

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U2 - 10.1016/0167-8396(94)90302-6

DO - 10.1016/0167-8396(94)90302-6

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SN - 0167-8396

VL - 11

SP - 519

EP - 531

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

IS - 5

ER -

Curves with quadric boundary precision

Abstract

Keywords

ASJC Scopus subject areas

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