@article {IOPORT.05861804,
    author       = {Park, Hyungjun},
    title        = {B-spline surface fitting based on adaptive knot placement using dominant columns.},
    year         = {2011},
    journal      = {CAD. Computer-Aided Design},
    volume       = {43},
    number       = {3},
    issn         = {0010-4485},
    pages        = {258-264},
    publisher    = {Elsevier Science, Oxford},
    doi          = {10.1016/j.cad.2010.12.001},
    abstract     = {Summary: By expanding the idea of B-spline curve fitting using dominant points (Park and Lee 2007 [13]), we propose a new approach to B-spline surface fitting to rectangular grid points, which is based on adaptive knot placement using dominant columns along $u$- and $v$-directions. The approach basically takes approximate B-spline surface lofting which performs adaptive multiple B-spline curve fitting along and across rows of the grid points to construct a resulting B-spline surface. In multiple B-spline curve fitting, rows of points are fitted by compatible B-spline curves with a common knot vector whose knots are computed by averaging the parameter values of dominant columns selected from the points. We address how to select dominant columns which play a key role in realizing adaptive knot placement and thereby yielding better surface fitting. Some examples demonstrate the usefulness and quality of the proposed approach.},
    identifier   = {05861804},
}