Subdivision I: The Univariate Setting B-Splines (Uniform)
Subdivision I: The Univariate Setting B-Splines (Uniform)
Subdivision I: The Univariate Setting B-Splines (Uniform)
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More General <strong>Setting</strong>sNon-uniform in spline case better curves subdivision weights will vary knot insertion interpolation⎛a0⎜⎜b0⎜c⎜f⎜dg⎜⎜e hS = ⎜0i⎜⎜0j⎜00⎜⎜00⎜00⎜⎝000 0⎞⎟0 0⎟0 0⎟⎟0 0⎟⎟k 0⎟l 0⎟⎟m p⎟n q⎟⎟o r ⎟0 s⎟⎟0 t ⎠CS175 2005414pt Scheme IWhere do the weights come from? example of Deslaurier-Dubuc given set of samples useinterpolating polynomial to refinesample hereCS175 2005i-1i i+1 i+2Interpolating polynomialfor 4 successive samples42