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

25 Citations (Scopus)

87 Downloads (Pure)

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	English
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

Access to Document

10.1016/0167-8396(94)90208-9

ArticleFinal published version, 1.78 MB

Cite this

@article{68638bb2ed9742299202d8f2b8051dc8,

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.",

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

year = "1994",

doi = "10.1016/0167-8396(94)90208-9",

language = "English",

volume = "11",

pages = "451--474",

journal = "Computer aided geometric design",

issn = "0167-8396",

publisher = "Elsevier",

number = "4",

}

TY - JOUR

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.

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

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

M3 - Article

SN - 0167-8396

VL - 11

SP - 451

EP - 474

JO - Computer aided geometric design

JF - Computer aided geometric design

IS - 4

ER -

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

Abstract

Access to Document

Fingerprint

Cite this