International Journal of Naval Architecture and Ocean Engineering

The Society of Naval Architects of Korea (대한조선학회)
권호 표지
DOI QR코드

DOI QR Code

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

  • Published : 2010.12.31
Download PDF
⟨ Previous Next ⟩

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.

Keywords

References

  1. Hohmeyer, M. and Barsky, B., 1991. Skinning rational B-spline curves to construct an interpolatory surfaces. Comput. Vis. Grarph and Image Processing, 53, pp. 511-521.
  2. Jung, H. B., 1998. A new method of the global interpolation in NURBS surface: II. Journal of Korean CAD/CAM engineers, 3(4), pp. 243-250.
  3. Jung, H. B. and Kim, K., 2000. A new parameterization method for NURBS surface interpolation. International Journal of Advanced Manufacturing Technology, 16, pp. 784-790. https://doi.org/10.1007/s001700070012
  4. Park, H. and Kim, K., 1996. Smooth surface approximation to serial cross-sections. Computer-Aided Design, 28(12), pp. 995-1005. https://doi.org/10.1016/0010-4485(96)00019-X
  5. Park, H. Kim, K. and Lee, S.C., 2000. A method for approximate NURBS curve compatibility based on multiple curve refitting. Computer-Aided Design, 32(4), pp. 237-252. https://doi.org/10.1016/S0010-4485(99)00088-3
  6. Piegl, L. and Tiller, W., 1996. Algorithm for approximate NURBS skinning. Computer-Aided Design, 28(9), pp. 699-706. https://doi.org/10.1016/0010-4485(95)00084-4
  7. Piegl, L. and Tiller, W., 2000. Reducing control points in surface interpolation. IEEE Computer Graphics and Applications, 20, pp. 70-74. https://doi.org/10.1109/38.865883
  8. Piegl, L. and Tiller, W., 2002. Surface skinning revisited. Visual Computer, 18, pp. 273-283. https://doi.org/10.1007/s003710100156
  9. Woodward, C., 1988. Skinning techniques for interactive Bspline surface interpolation. Computer-Aided Design, 20(8), pp. 441-451. https://doi.org/10.1016/0010-4485(88)90002-4
  10. Lim, C. G., 1999. A universal parameterization in B-spline curve and surface interpolation. Computer Aided Geometric Design, 16, pp. 407-422. https://doi.org/10.1016/S0167-8396(99)00010-2
  11. Park, H., 2001. An approximate lofting approach for B-spline surface fitting to functional surfaces. International Journal of Advanced Manufacturing Technology, 18(7), pp. 474-482. https://doi.org/10.1007/s0017010180474
  12. Park, H. Jung, H. B. and Kim, K., 2004. A new approach for lofted B-spline surface interpolation to serial contours. International Journal of Advanced Manufacturing Technology, 23, pp. 889-895.