Piecewise triangular C1 surface strips

Gerald Farin

doi:10.1016/S0010-4485(86)80010-0

Piecewise triangular C¹ surface strips

Gerald Farin

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

6 Scopus citations

Abstract

We show how to solve a simple interpolation problem with triangular patches that is intractable with tensor product patches. The problem of fitting a C¹ surface strip between four boundary curves is described.

Original language	English (US)
Pages (from-to)	45-47
Number of pages	3
Journal	Computer-Aided Design
Volume	18
Issue number	1
DOIs	https://doi.org/10.1016/S0010-4485(86)80010-0
State	Published - 1986
Externally published	Yes

Keywords

Bernstein-Bézier triangular patches
Coons patches
bicubic patches
geometry

ASJC Scopus subject areas

Computer Science Applications
Computer Graphics and Computer-Aided Design
Industrial and Manufacturing Engineering

Access to Document

10.1016/S0010-4485(86)80010-0

Cite this

@article{7e328b736893487ba98f4636388a8cb2,

title = "Piecewise triangular C1 surface strips",

abstract = "We show how to solve a simple interpolation problem with triangular patches that is intractable with tensor product patches. The problem of fitting a C1 surface strip between four boundary curves is described.",

keywords = "Bernstein-B{\'e}zier triangular patches, Coons patches, bicubic patches, geometry",

author = "Gerald Farin",

note = "Funding Information: This research was supported in part by the Department of Energy with Contract no. DE-AC02-82ER12046 to the University of Utah. The readability of the paper was greatly enhanced by discussions with members of the Math CAGD group at the University of Utah. The practical importance of the described problems was brought to the author's attention while working for the CAD development department at Daimler-Benz, Sindelfingen, FRG.",

year = "1986",

doi = "10.1016/S0010-4485(86)80010-0",

language = "English (US)",

volume = "18",

pages = "45--47",

journal = "Computer-Aided Design",

issn = "0010-4485",

publisher = "Elsevier Limited",

number = "1",

}

TY - JOUR

T1 - Piecewise triangular C1 surface strips

AU - Farin, Gerald

N1 - Funding Information: This research was supported in part by the Department of Energy with Contract no. DE-AC02-82ER12046 to the University of Utah. The readability of the paper was greatly enhanced by discussions with members of the Math CAGD group at the University of Utah. The practical importance of the described problems was brought to the author's attention while working for the CAD development department at Daimler-Benz, Sindelfingen, FRG.

PY - 1986

Y1 - 1986

N2 - We show how to solve a simple interpolation problem with triangular patches that is intractable with tensor product patches. The problem of fitting a C1 surface strip between four boundary curves is described.

AB - We show how to solve a simple interpolation problem with triangular patches that is intractable with tensor product patches. The problem of fitting a C1 surface strip between four boundary curves is described.

KW - Bernstein-Bézier triangular patches

KW - Coons patches

KW - bicubic patches

KW - geometry

UR - http://www.scopus.com/inward/record.url?scp=0021781576&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021781576&partnerID=8YFLogxK

U2 - 10.1016/S0010-4485(86)80010-0

DO - 10.1016/S0010-4485(86)80010-0

M3 - Article

AN - SCOPUS:0021781576

SN - 0010-4485

VL - 18

SP - 45

EP - 47

JO - Computer-Aided Design

JF - Computer-Aided Design

IS - 1

ER -