Quality Improvement of B-spline Surfaces through Fairing of Data Points

측정점의 순정을 통한 B-스플라인 곡면 품질의 개선

  • 흥석용 (홍익대학교 정보산업공학과) ;
  • 이현찬 (홍익대학교 정보산업공학과)
  • Published : 2001.03.01

Abstract

In reverse engineering, existing products are digitized fur the computer modeling. Using the digitized data, surfaces are modeled for new products. However, in the digitizing process measuring errors or deviations can be happened often in practice. Thus, it is important to adjust such errors or deviations during the computer modeling. To adjust the errors, fairing of the modeled surfaces is performed. In this paper, we present a surface fairing algorithm based on various fairness metrics. Fairness metrics can be discrete. We adopt discrete metrics for fairing given 3D point set. The fairness metrics include discrete principal curvatures. In this paper, automatic fairing process is proposed for fairing given 3D point sets for surfaces. The process uses various fairness criteria so that it is adequate to adopt designers'intents.

Keywords

References

  1. Computer-Aided Design v.20 no.6 Smoothing Surfaces Using Reflection Lines for Families of Splines Kaufmann,E;Klass,R
  2. Designing Fair Curves and Surfaces,Society for Industrial and Applied Mathematics Philadelphia The Highlight Band,a Simplified Reflection Model for Interactive Smoothness Evaluation Beier,K;Chen,Y
  3. Computer Aided Geometric v.1 no.2 Detecting Surface Irregularities Using Isophotes Poeschl,T
  4. Computer Aided Geometric Design v.4 no.3 Automatic Smoothing with Geometric Surface Patches Hagen,H;Schulze,G
  5. Computer Aided Geometric Design v.12 no.3 Smoothing of Free-form Surfaces with Bezier Patches Ma,L;Peng,Q
  6. Designing Fair Curves and Surfaces,Society for Industrial and Applied Mathematics Philadelphia Mini mum Variation Curves and Surfaces for Computer-Aided Geometric Design Moreton,H.P;Sequin,C.H
  7. Computer-Aided Design v.20 no.10 Method for Fairing B-spline Surfaces Lott,N.J;Pullin,D.I
  8. Computer Aided Geometric Design v.5 no.2 Surface Shape Control Using Constrained Optimization on the B-spline Representation Ferguson,D.R;Frank,P.D;Jones,A.K
  9. Designing Fair Curves and Surfaces,Society for Industrial and Applied Mathematics Philadelphia Measure of Fairness for Curves and Surfaces Roulier,J;Rando,T
  10. Computer-Aided Design v.30 no.2 Knot-removal Surface Fairing Using Search Strategies Hahmann,S;Konz,S
  11. Computer-Aided Design v.23 no.7 Designing Faired Parametric Surfaces Rando,T;Roulier,J.A
  12. Surface Modeling for CAD/CAM Choi,B.K
  13. Designing Fair Curves and Surfaces,Society for Industrial and Applied Mathematics Philadelphia Automatic Fairing of Point Sets Eck,M;Jaspert,R
  14. The NURBS Book Piegl.L;Tiller,W
  15. Computer Aided Geometric Design v.12 no.8 Smoothing Rational B-spline Curves Using the Weights in an Optimization Procedure Hohenberger,W;Reuding,T
  16. Differenzengeometrie Sauer,R
  17. Curves and Surfaces for Computer Aided Geometric Design:A Protical Guide(3rd ed) Farin,G
  18. Computer-Aided Design v.22 no.2 Automatic Fairing Algorithm for B-spline Curves Sapidis,N;Farin,G
  19. 한국 CAD/CAM 학회 논문집 v.4 no.2 3D NURBS 곡선의 해석적 및 이산적 순정 홍충성;홍석용;이현찬