Enhancement of Gordon-Coons interpolations by "bubble functions"

Michel Bercovier; Erez Shilat

doi:10.1016/0167-8396(93)90040-A

Enhancement of Gordon-Coons interpolations by "bubble functions"

Michel Bercovier^*, Erez Shilat

^*Corresponding author for this work

The Rachel and Selim Benin School of Engineering and Computer Science

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

5 Scopus citations

Abstract

A popular method for generating surfaces in design packages is the boolean sum method of the Gordon-Coons surface. These surfaces have two major flaws: • Small flexibility in design. After setting the boundary curves, one can only change the blending functions. • That means that only global changes in the surface design are possible. • To connect smoothly two adjacent surfaces (or more) one must use cubic blending functions, and thus losing • mathematical simplicity. This paper presents a new surface, similar to the Gordon-Coons surfaces, that gives better design options, and minimum addition to the basic boolean sum surface for a C¹ connection.

Original language	English
Pages (from-to)	253-265
Number of pages	13
Journal	Computer Aided Geometric Design
Volume	10
Issue number	3-4
DOIs	https://doi.org/10.1016/0167-8396(93)90040-A
State	Published - Aug 1993

Keywords

Bézier surface
bubble functions
C interpolations.
Coons surface
Gordon surface

Access to Document

10.1016/0167-8396(93)90040-A

Cite this

@article{eb94c30e90824b479fd2f54c6c883208,

title = "Enhancement of Gordon-Coons interpolations by {"}bubble functions{"}",

abstract = "A popular method for generating surfaces in design packages is the boolean sum method of the Gordon-Coons surface. These surfaces have two major flaws: • Small flexibility in design. After setting the boundary curves, one can only change the blending functions. • That means that only global changes in the surface design are possible. • To connect smoothly two adjacent surfaces (or more) one must use cubic blending functions, and thus losing • mathematical simplicity. This paper presents a new surface, similar to the Gordon-Coons surfaces, that gives better design options, and minimum addition to the basic boolean sum surface for a C1 connection.",

keywords = "B{\'e}zier surface, bubble functions, C interpolations., Coons surface, Gordon surface",

author = "Michel Bercovier and Erez Shilat",

year = "1993",

month = aug,

doi = "10.1016/0167-8396(93)90040-A",

language = "אנגלית",

volume = "10",

pages = "253--265",

journal = "Computer Aided Geometric Design",

issn = "0167-8396",

publisher = "Elsevier B.V.",

number = "3-4",

}

TY - JOUR

T1 - Enhancement of Gordon-Coons interpolations by "bubble functions"

AU - Bercovier, Michel

AU - Shilat, Erez

PY - 1993/8

Y1 - 1993/8

N2 - A popular method for generating surfaces in design packages is the boolean sum method of the Gordon-Coons surface. These surfaces have two major flaws: • Small flexibility in design. After setting the boundary curves, one can only change the blending functions. • That means that only global changes in the surface design are possible. • To connect smoothly two adjacent surfaces (or more) one must use cubic blending functions, and thus losing • mathematical simplicity. This paper presents a new surface, similar to the Gordon-Coons surfaces, that gives better design options, and minimum addition to the basic boolean sum surface for a C1 connection.

AB - A popular method for generating surfaces in design packages is the boolean sum method of the Gordon-Coons surface. These surfaces have two major flaws: • Small flexibility in design. After setting the boundary curves, one can only change the blending functions. • That means that only global changes in the surface design are possible. • To connect smoothly two adjacent surfaces (or more) one must use cubic blending functions, and thus losing • mathematical simplicity. This paper presents a new surface, similar to the Gordon-Coons surfaces, that gives better design options, and minimum addition to the basic boolean sum surface for a C1 connection.

KW - Bézier surface

KW - bubble functions

KW - C interpolations.

KW - Coons surface

KW - Gordon surface

UR - http://www.scopus.com/inward/record.url?scp=0027642348&partnerID=8YFLogxK

U2 - 10.1016/0167-8396(93)90040-A

DO - 10.1016/0167-8396(93)90040-A

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0027642348

SN - 0167-8396

VL - 10

SP - 253

EP - 265

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

IS - 3-4

ER -

Enhancement of Gordon-Coons interpolations by "bubble functions"

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this