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Approximate Merging of a Pair of Cubic Uniform Bspline Curves with Shape Parameters
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QIN Xinqiang，YUE Li，HU Gang，LI Kai
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(School of Science, Xi’an University of Technology, Xi’an 710054, China)
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Abstract In order to develop the basic theory of cubic uniform Bspline curve with multiple shape parameters, the approximate merging of existing curve design was researched. By combining the fitting method of curves with the theory of the general inverse matrix, the explicit formula of control points of the merged cubic uniform Bspline curve with multiple shape parameters can be given directly. Eventually, some merging examples were discussed and the errors of approximate merging were also given. The experimental results illustrate that the proposed method not only has a good merging effect, but also is easy to implement and simple for error estimation.
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Received: 23 November 2009
Published: 31 August 2010
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