A method to approximate scanned data points with a B-spline surface is presented. The data are assumed to be organized in the form of Q i,j, i=0,…,n; j=0,…,m i, i.e., in a row-wise fashion. The method produces a C (p-1, q-1) continuous surface (p and q are the required degrees) that does not deviate from the data by more than a user-specified tolerance. The parametrization of the surface is not affected negatively by the distribution of the points in each row, and it can be influenced by a user-supplied knot vector.
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Piegl, L., Tiller, W. Surface approximation to scanned data. Visual Comp 16, 386–395 (2000). https://doi.org/10.1007/PL00013393
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DOI: https://doi.org/10.1007/PL00013393