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dc.contributor.authorBorges, C.F.
dc.contributor.authorPastva, T.A.
dc.date.accessioned2014-01-07T17:00:16Z
dc.date.available2014-01-07T17:00:16Z
dc.date.issued2001
dc.identifier.citationC.F. Borges and T.A. Pastva, Total Least Squares Fitting of Bezier and B-Spline Curves to Ordered Data. Computer Aided Geometric Design
dc.identifier.urihttp://hdl.handle.net/10945/38066
dc.description.abstractWe begin by considering the problem of fitting a single Bézier curve segment to a set of ordered data so that the error is minimized in the total least squares sense. We develop an algorithm for applying the Gauss–Newton method to this problem with a direct method for evaluating the Jacobian based on implicitly differentiating a pseudo-inverse. We then demonstrate the simple extension of this algorithm to B-spline curves. We present some experimental results for both cases.en_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.titleTotal Least Squares Fitting of Bezier and B-Spline Curves to Ordered Data. Computer Aided Geometric Designen_US
dc.typeArticleen_US
dc.contributor.departmentApplied Mathematics


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