Fairness degree based fairness criterion and fairing algorithm

Aizeng Wang; Gang Zhao; Yong Dong Li

doi:10.1016/j.amc.2014.12.081

Fairness degree based fairness criterion and fairing algorithm

Aizeng Wang
, Gang Zhao^*
, Yong Dong Li

^*Corresponding author for this work

School of Mechanical Engineering and Automation

Beihang University

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

3 Scopus citations

Abstract

Based on B-spline wavelets, the present work proposes the concept of fairness degree for the first time, via which a quantitative criterion is established to evaluate the fairness of curves and surfaces. Further, a new fairing algorithm is presented for B-spline curves. Finally, the effectiveness and efficiency of our approach are demonstrated by several examples.

Original language	English
Pages (from-to)	184-192
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	253
DOIs	https://doi.org/10.1016/j.amc.2014.12.081
State	Published - 15 Feb 2015

Keywords

B-spline curves
Fairing algorithm
Fairness criterion
Fairness degree

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10.1016/j.amc.2014.12.081

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@article{a648f29677344ee083050a36df85d23c,

title = "Fairness degree based fairness criterion and fairing algorithm",

abstract = "Based on B-spline wavelets, the present work proposes the concept of fairness degree for the first time, via which a quantitative criterion is established to evaluate the fairness of curves and surfaces. Further, a new fairing algorithm is presented for B-spline curves. Finally, the effectiveness and efficiency of our approach are demonstrated by several examples.",

keywords = "B-spline curves, Fairing algorithm, Fairness criterion, Fairness degree",

author = "Aizeng Wang and Gang Zhao and Li, \{Yong Dong\}",

year = "2015",

month = feb,

day = "15",

doi = "10.1016/j.amc.2014.12.081",

language = "英语",

volume = "253",

pages = "184--192",

journal = "Applied Mathematics and Computation",

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T1 - Fairness degree based fairness criterion and fairing algorithm

AU - Wang, Aizeng

AU - Zhao, Gang

AU - Li, Yong Dong

PY - 2015/2/15

Y1 - 2015/2/15

N2 - Based on B-spline wavelets, the present work proposes the concept of fairness degree for the first time, via which a quantitative criterion is established to evaluate the fairness of curves and surfaces. Further, a new fairing algorithm is presented for B-spline curves. Finally, the effectiveness and efficiency of our approach are demonstrated by several examples.

AB - Based on B-spline wavelets, the present work proposes the concept of fairness degree for the first time, via which a quantitative criterion is established to evaluate the fairness of curves and surfaces. Further, a new fairing algorithm is presented for B-spline curves. Finally, the effectiveness and efficiency of our approach are demonstrated by several examples.

KW - B-spline curves

KW - Fairing algorithm

KW - Fairness criterion

KW - Fairness degree

UR - https://www.scopus.com/pages/publications/84920644437

U2 - 10.1016/j.amc.2014.12.081

DO - 10.1016/j.amc.2014.12.081

M3 - 文章

AN - SCOPUS:84920644437

SN - 0096-3003

VL - 253

SP - 184

EP - 192

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Fairness degree based fairness criterion and fairing algorithm

Abstract

Keywords

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