کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
440840 | 691290 | 2011 | 7 صفحه PDF | دانلود رایگان |
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 uu- and vv-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.
Research highlights
► New approach to adaptive B-spline surface fitting to rectangular grid points.
► Proper exploitation of approximate B-spline surface lofting.
► Multiple B-spline curve fitting based on knot placement using dominant columns.
► Adaptive refinement paradigm to select dominant columns from serial rows of points.
Journal: Computer-Aided Design - Volume 43, Issue 3, March 2011, Pages 258–264