Korean Journal of Computational Design and Engineering (한국CDE학회논문집)

Society for Computational Design and Engineering (한국CDE학회)
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Analytic and Discrete Fairing of 3D NURBS Curves

3D NURBS 곡선의 해석적 및 이산적 순정

  • 홍충성 (홍익대학교 산업공학과) ;
  • 홍석용 (홍익대학교 산업공학과) ;
  • 이현찬 (홍익대학교 정보산업공학과)
  • Published : 1999.06.01
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Abstract

For reverse engineering, curves and surfaces are modeled for new products by interpolating the digitized data points. But there are many measuring or deviation errors. Therefore, it is important to handle errors during the curve or surface modeling. If the errors are ignored, designer could get undesirable results. For this reason, fairing procedure with the aesthetics criteria is necessary in computer modeling. This paper presents methods of 3D NURBS curve fairing. The techniques are based on automatic repositioning of the digitized dat points or the NURBS curve control points by a constrained nonlinear optimization algorithm. The objective function is derived variously by derived curved. Constraints are distance measures between the original and the modified digitized data points. Changes I curve shape are analyzed by illustrations of curve shapes, and continuous plotting of curvature and torsion.

Keywords

References

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