@article {IOPORT.06091515,
    author       = {Wu, Huajingling and Wang, Guojin},
    title        = {Extending the Dirichlet approach to design B spline surfaces of minimal area.},
    year         = {2011},
    journal      = {Journal of Software},
    volume       = {22},
    number       = {12},
    issn         = {1000-9825},
    pages        = {3015-3022},
    publisher    = {Editorial Board of Journal of Software, Institute of Software, The Chinese Academy of Sciences, Beijing; Science Press, Beijing},
    doi          = {10.3724/SP.J.1001.2011.04009},
    abstract     = {Summary: The current NURBS system is unable to design a B-spline minimal surface effectively which is required for engineering. This paper extends the Dirchlet approach from constructing B\'ezier minimal surfaces to the design of B-spline minimal surfaces successfully. The study also proposes a model of B-spline surfaces which interpolates its control net at the boundary. By applying the derivative formulae and cutting-angle evaluation algorithms of B-spline basis, this approach transforms the problem of computing internal control points of the minimal surface to solving a system of linear equations, and avoids the bewilderment brought by a strong nonlinear problem and improves operational efficiency greatly. Finally, with a large number of examples, the theory and the algorithm are verified.},
    identifier   = {06091515},
}