Browse > Article

Modeling of Functional Surface using Modified B-spline  

황종대 (창원대학교 대학원)
정종윤 (창원대학교 산업시스템공학과)
정윤교 (창원대학교 메카트로닉스공학부)
Publication Information
Journal of the Korean Society for Precision Engineering / v.20, no.10, 2003 , pp. 156-163 More about this Journal
Abstract
This research presents modeling of a functional surface which is a constructed free-formed surface. The modeling introduced in this paper adopts modified B-spline that is utilizing approximating technique. The modified B-Spline is constructed with altered control vertices. It is applied to measure points on a surface of an impeller blade. This research builds a surface-modeler accepting inputs of measured points. Generation of cutter-paths for NC machining employs the model of the constructed surfaces. The machined surfaces which is generated in several cases are compared in the aspect of machining accuracy.
Keywords
Reverse Engineering; CAD/CAM; B-spline; Modified B-spline; NUBS; Interpolation; Approximation;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
연도 인용수 순위
1 Woo, H. J. and Lee, K. H., 'Rapid Prototyping from Reverse Engineered Geometric Data,' J. of the KSPE, Vol. 16, No. 1, pp. 95-107, 1999   과학기술학회마을
2 Park, Y. G., Ko, T. J. and Kim, H. S., 'Efficient Digitizing in Reverse Engineering By sensor fusion,' J. of the KSPE, Vol. 18, No.9, pp. 61-70, 2001   과학기술학회마을
3 Les Piegl and Wayne Tiller, 'Algorithm for Approximate NURBS Skinning,' Computer-Aided Design, Vol. 28, No.9, pp. 699-706, 1996   DOI   ScienceOn
4 Les Piegl and Wayne Tiller, The NURBS Book, Second Edition, Springer, pp. 410-412, 1996
5 Hur, S. M., Choi, J. W. and Lee, S. H., 'Study on Application of Reverse Engineering by Generation of the Free-form Surface,' J. of the KSPE, Vol. 18, No. 10, pp. 168-177, 2001   과학기술학회마을
6 Lee, H. Z., Ko, T. J. and Kim, H. S., 'Rational B-spline Approximation of Point Data For Reverse Engineering,' J. of the KSPE. Vol. 16, No.5, pp. 160-167, 1999   과학기술학회마을
7 Nowacki, H. and Lu, X., 'Fairing Composite Polynomial Curves with Constraints,' Computer Aided Geometric Deign, Vol. 11, No. 1, pp. 1-15, 1994   DOI   ScienceOn
8 Goodman, T. N. T., Ong, B. H. and Sampoli, M.L., 'Automatic Interpolation by Fair, Shapepreserving, $G^2$ Space Curves,' Computer-Aided Deign, Vol. 30, No. 10, pp. 813-822, 1998   DOI   ScienceOn
9 Sapidis, N. S. and Farin, G., 'Automatic Fairing Algorithm for B-spline Curves,' Computer-Aided Deign, Vol. 22, No.2, pp. 121-129, 1990   DOI   ScienceOn
10 Tamas Varady, Ralph R Martin and Jordan Cox, 'Reverse Engineering of Geometric Models: an Introduction,' Computer-Aided Design, Vol. 29, No.4, pp. 255-268, 1997   DOI   ScienceOn
11 Park, J. W. and Ko, T. J., 'OMM System based on CAD Model,' J. of the KSPE, Vol. 18, No.6, pp. 37-42, 2001   과학기술학회마을
12 Piegl, L., 'Modifying the Shape of Rational B-splines. Part I: Curves,' Computer-Aided Deign, Vol. 21, No.8, pp. 509-518, 1998   DOI   ScienceOn
13 Choi, B. K., Surface Modeling for CAD/CAM, pp. 152-156, 1991
14 Nowacki, H., Liu, D. and Lu. X., 'Fairing Bezier Curves with Constraints,' Computer Aided Geometric Deign, Vol. 7, No. 1-4, pp. 43-55, 1990   DOI   ScienceOn
15 Werner, A., Skalski, K., Piszezatowski, S., Swieszkowski, W. and Lechniak, Z. 'Reverse Engineering of Free-Form Surfaces,' J. of Materials Processing Technology Vol. 76, pp. 128-132, 1998   DOI   ScienceOn
16 Farin, G., Rein, G., Sapidis, N. S. and Worsely, A. 1., 'Fairing cubic B-spline Curves,' Computer Aided Geometric Deign, Vol. 4, No. 1-2, pp. 91-103, 1987   DOI   ScienceOn
17 Pigounakis, K. G. and Kaklis, P. D., 'Convexity -preserving Fairing,' Computer-Aided Deign, Vol. 28, No. 12, pp. 981-994, 1996   DOI   ScienceOn
18 Au, C. K. and Yeun, M. M. F., 'Unified Approach to NURBS Curve Shape Modification,' ComputerAided Deign, Vol. 27, No.2, pp. 85-94, 1995   DOI   ScienceOn
19 Rando, T. and Roulier, J. A., 'Measures of Fairness for Curves and Surfaces,' Designing Fair Curves and Surfaces, Society for Industrial and Applied Mathematics, 1994
20 Steven, C. C. and Raymond, P. C., Numerical Methods for Engineers, 1999
21 Lott, N. J. and Pullin, D. I., 'Method for Fairing B-spline Surfaces,' Computer-Aided Deign, Vol. 20, No. 10, pp. 597-604, 1988   DOI   ScienceOn
22 Hohenberger, W. and Reuding, T., 'Smoothing Rational B-spline Curves Using the Weights in an Optimization Procedure,' Computer Aided Geometric Deign, Vol. 12, No.8, pp. 837-848, 1995   DOI   ScienceOn
23 Hagen, H. and Schulze, G., 'Automatic Smoothing with Geometric Surface Patches,' Computer Aided Geometric Deign, Vol. 4, No.2, pp. 131-138, 1998   DOI   ScienceOn