Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in R3

M. Neamtu; P.R. Pfluger

doi:10.1016/0167-8396(94)90208-9

Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in R3

M. Neamtu, P.R. Pfluger

Research output: Contribution to journal › Article › Academic

23 Citations (Scopus)

Abstract

The problem of interpolating scattered 3D data by a geometrically smooth surface is considered. A completely local method is proposed, based on employing degenerate triangular Bernstein-Bézier patches. An analysis of these patches is given and some numerical experiments with quartic and quintic patches are presented.

Original language	Undefined
Pages (from-to)	451-474
Journal	Computer aided geometric design
Volume	11
Issue number	4
DOIs	https://doi.org/10.1016/0167-8396(94)90208-9
Publication status	Published - 1994
Externally published	Yes

Keywords

IR-57371

Access to Document

10.1016/0167-8396(94)90208-9

Neamtu94degenerate
open

Cite this

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title = "Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in R3",

abstract = "The problem of interpolating scattered 3D data by a geometrically smooth surface is considered. A completely local method is proposed, based on employing degenerate triangular Bernstein-B{\'e}zier patches. An analysis of these patches is given and some numerical experiments with quartic and quintic patches are presented.",

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author = "M. Neamtu and P.R. Pfluger",

year = "1994",

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volume = "11",

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journal = "Computer aided geometric design",

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T1 - Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in R3

AU - Neamtu, M.

AU - Pfluger, P.R.

PY - 1994

Y1 - 1994

N2 - The problem of interpolating scattered 3D data by a geometrically smooth surface is considered. A completely local method is proposed, based on employing degenerate triangular Bernstein-Bézier patches. An analysis of these patches is given and some numerical experiments with quartic and quintic patches are presented.

AB - The problem of interpolating scattered 3D data by a geometrically smooth surface is considered. A completely local method is proposed, based on employing degenerate triangular Bernstein-Bézier patches. An analysis of these patches is given and some numerical experiments with quartic and quintic patches are presented.

KW - IR-57371

U2 - 10.1016/0167-8396(94)90208-9

DO - 10.1016/0167-8396(94)90208-9

M3 - Article

VL - 11

SP - 451

EP - 474

JO - Computer aided geometric design

JF - Computer aided geometric design

SN - 0167-8396

IS - 4

ER -