Surface Faring Using Circular Highlight Lines

Yu Nishiyama, Yoh Nishimura, Takayuki Sasaki, Takashi Maekawa

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We herein propose a novel method for removing irregularities of B-spline surfaces via smoothing circular highlight lines. A circular highlight line is defined as a set of points on a surface such that the distance between a circular light source and an extended surface normal to be zero. Circular highlight lines allow us to capture the surface fairness in all directions, whereas conventional method, which uses a family of parallel straight lines for light sources, can capture the surface irregularity only in one direction. This method of correcting surface irregularities through circular highlight lines is intuitive and allows non-skilled persons to generate surfaces that can satisfy requirements imposed by downstream applications. Nonlinear equations that relate the difference between the circular highlight lines of the current surface and the target curves in the parameter space are formulated in terms of control points of the surface to be modified. The nonlinear governing equations are solved by Newton’s method. The effectiveness of these algorithms is demonstrated through examples.

Original languageEnglish
Pages (from-to)405-414
Number of pages10
JournalComputer-Aided Design and Applications
Volume4
Issue number1-4
DOIs
Publication statusPublished - 2007 Jan 1
Externally publishedYes

Fingerprint

Line
Irregularity
Nonlinear Equations
Nonlinear equations
Light sources
B-spline Surface
Normal Surface
Control Points
Fairness
Newton Methods
Straight Line
Set of points
Parameter Space
Smoothing
Intuitive
Governing equation
Person
Newton-Raphson method
Splines
Curve

Keywords

  • B-spline surface
  • Circular highlight lines
  • Surface fairing
  • Surface interrogation

ASJC Scopus subject areas

  • Computational Mechanics
  • Computer Graphics and Computer-Aided Design
  • Computational Mathematics

Cite this

Surface Faring Using Circular Highlight Lines. / Nishiyama, Yu; Nishimura, Yoh; Sasaki, Takayuki; Maekawa, Takashi.

In: Computer-Aided Design and Applications, Vol. 4, No. 1-4, 01.01.2007, p. 405-414.

Research output: Contribution to journalArticle

Nishiyama, Yu ; Nishimura, Yoh ; Sasaki, Takayuki ; Maekawa, Takashi. / Surface Faring Using Circular Highlight Lines. In: Computer-Aided Design and Applications. 2007 ; Vol. 4, No. 1-4. pp. 405-414.
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