USE OF BIVARIATE SPLINE FUNCTIONS IN PREPROCESSORS FOR SHIP STRUCTURE DESIGN

Bivariate splines, constructed by taking a tensor product of piece-wise polynomial univariate splines, appear to be quite suitable for hull surface parametrization that can be computed rapidly and modified readily. The input parameters include a sparse set of coordinates (offsets) and slopes which are readily available during the early stages of ship design. Since the bivariate spline smooths as well as interpolates, all the input coordinates and slopes do not have to be known with precision. There are several practical problems in using these tensor product splines for use in defining a ship surface. The tensor product splines require input data over a rectangular mesh. This presents a problem since ship surfaces can not be defined over rectangular domain. This problem is solved by a coordinate transformation. Computation of the bivariate spline requires a solution of a large number of linear simultaneous equations.

  • Availability:
  • Corporate Authors:

    Pergamon Press, Incorporated

    Maxwell House, Fairview Park
    Elmsford, NY  USA  10523
  • Authors:
    • RAWAT, P
  • Publication Date: 1976

Media Info

  • Features: References;
  • Pagination: p. 369-374
  • Serial:

Subject/Index Terms

Filing Info

  • Accession Number: 00157658
  • Record Type: Publication
  • Source Agency: Engineering Index
  • Files: TRIS
  • Created Date: Aug 15 1977 12:00AM