B-spline surface fitting based on adaptive knot placement using dominant columns |
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Authors: | Hyungjun Park |
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Affiliation: | aDepartment of Industrial Engineering, Chosun University, 375 Seosuk-Dong, Dong-Gu, Gwangju 501-759, South Korea |
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Abstract: | 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. |
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Keywords: | B-spline surface fitting Approximate B-spline surface lofting Multiple B-spline curve fitting Adaptive knot placement Dominant columns |
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