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An interpolation method of b-spline surface for hull form design

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초록

This paper addresses the problem of B-spline surface interpolation of scattered points for a hull form design, which are not arbitrarily scattered, but can be arranged in a series of contours permitting variable number of points in the contours. A new approach that allows different parameter value for each point on the same contour has been adopted. The usefulness and quality of the interpolation has been demonstrated with some experimental results.

Abstract

This paper addresses the problem of B-spline surface interpolation of scattered points for a hull form design, which are not arbitrarily scattered, but can be arranged in a series of contours permitting variable number of points in the contours. A new approach that allows different parameter value for each point on the same contour has been adopted. The usefulness and quality of the interpolation has been demonstrated with some experimental results.

참고문헌 (12)

  1. Hohmeyer, M, "Skinning rational B-spline curves to construct an interpolatory surfaces", Comput. Vis.Grarph and Image Processing,, 53, pp.511~521 (1991)
  2. Jung,H.B., "A new method of the global interpolation in NURBS surface: II", Journal of Korean CAD, 1998, pp.3(4), 243~250
  3. Jung, H. B, "A new parameterization method for NURBS surface interpolation", International Journal of Advanced Manufacturing Technology, 16, pp.784~790 (2000)
  4. Park, H, "Smooth surface approximation to serial cross-sections", Computer-Aided Design, 28(12), pp.995~1005 (1996)
  5. Park, H, "A method for approximate NURBS curve compatibility based on multiple curve refitting", Computer-Aided Design, 32(4), pp.237~252 (2000)
  6. Piegl, L, "Algorithm for approximate NURBS skinning", Computer-Aided Design, 28(9), pp.699~706 (1996)
  7. Piegl, L, "Reducing control points in surface interpolation", IEEE Computer Graphics and Applications, 20, pp.70~74 (2000)
  8. Piegl, L, "Surface skinning revisited", Visual Computer, 18, pp.273~283 (2002)
  9. Woodward,C., "Skinning techniques for interactive Bspline surface interpolation", Computer-Aided Design, 20(8), pp.441~451 (1988)
  10. Lim,C.G., "A universal parameterization in B-spline curve and surface interpolation", Computer Aided Geometric Design, 16, pp.407~422 (1999)
  11. Park,H., "An approximate lofting approach for B-spline surface fitting to functional surfaces", International Journal of Advanced Manufacturing Technology, 18(7), pp.474~482 (2001)
  12. Park, H, "A new approach for lofted B-spline surface interpolation to serial contours", International Journal of Advanced Manufacturing Technology, 23, pp.889~895 (2004)

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