Adding flexibility to piecewise quadratic curves and surfaces

Nira Gruberger; David Levin; Charles K. Chui

doi:10.1016/0167-8396(93)90024-W

Adding flexibility to piecewise quadratic curves and surfaces

Nira Gruberger, David Levin^*, Charles K. Chui

^*Corresponding author for this work

School of Mathematical Sciences

Texas A&M University

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

Abstract

A simple method is presented for adding flexibility to quadratic Bézier curves. The new curve is also piecewise quadratic with a doubled number of quadratic segments, but with the same number of inflection points and the same number of possible curvature discontinuities. In the case of convex control polygon, the new curve can be designed to be G². The generalization to surfaces is also presented.

Original language	English
Pages (from-to)	469-481
Number of pages	13
Journal	Computer Aided Geometric Design
Volume	10
Issue number	5
DOIs	https://doi.org/10.1016/0167-8396(93)90024-W
State	Published - Oct 1993

Keywords

Bézier
G-continuity
bi-quadratic
curves
flexibility.
quadratic
surfaces

Access to Document

10.1016/0167-8396(93)90024-W

Cite this

@article{e10316ffdbbd486b876a32b3ad50a609,

title = "Adding flexibility to piecewise quadratic curves and surfaces",

abstract = "A simple method is presented for adding flexibility to quadratic B{\'e}zier curves. The new curve is also piecewise quadratic with a doubled number of quadratic segments, but with the same number of inflection points and the same number of possible curvature discontinuities. In the case of convex control polygon, the new curve can be designed to be G2. The generalization to surfaces is also presented.",

keywords = "B{\'e}zier, G-continuity, bi-quadratic, curves, flexibility., quadratic, surfaces",

author = "Nira Gruberger and David Levin and Chui, {Charles K.}",

year = "1993",

month = oct,

doi = "10.1016/0167-8396(93)90024-W",

language = "אנגלית",

volume = "10",

pages = "469--481",

journal = "Computer Aided Geometric Design",

issn = "0167-8396",

publisher = "Elsevier",

number = "5",

}

TY - JOUR

T1 - Adding flexibility to piecewise quadratic curves and surfaces

AU - Gruberger, Nira

AU - Levin, David

AU - Chui, Charles K.

PY - 1993/10

Y1 - 1993/10

N2 - A simple method is presented for adding flexibility to quadratic Bézier curves. The new curve is also piecewise quadratic with a doubled number of quadratic segments, but with the same number of inflection points and the same number of possible curvature discontinuities. In the case of convex control polygon, the new curve can be designed to be G2. The generalization to surfaces is also presented.

AB - A simple method is presented for adding flexibility to quadratic Bézier curves. The new curve is also piecewise quadratic with a doubled number of quadratic segments, but with the same number of inflection points and the same number of possible curvature discontinuities. In the case of convex control polygon, the new curve can be designed to be G2. The generalization to surfaces is also presented.

KW - Bézier

KW - G-continuity

KW - bi-quadratic

KW - curves

KW - flexibility.

KW - quadratic

KW - surfaces

UR - http://www.scopus.com/inward/record.url?scp=0027681899&partnerID=8YFLogxK

U2 - 10.1016/0167-8396(93)90024-W

DO - 10.1016/0167-8396(93)90024-W

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

AN - SCOPUS:0027681899

SN - 0167-8396

VL - 10

SP - 469

EP - 481

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

IS - 5

ER -

Adding flexibility to piecewise quadratic curves and surfaces

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this