pointsOfSupportFromKnotPoints

Return representative support points for a tensor-product spline basis.

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Declaration

 [pointMatrix,supportVectors] = pointsOfSupportFromKnotPoints(knotPoints, options)

Parameters

• knotPoints knot vector in 1-D or cell array of knot vectors
• options.S spline degree scalar or vector with one entry per dimension

Returns

• pointMatrix matrix with one row per tensor support point
• supportVectors cell array with one support vector per dimension

Discussion

Use these points when you need one representative location per tensor basis function, for example when constructing transformed splines from sampled values.

The support vectors are computed one dimension at a time with BSpline.pointsOfSupport, then combined by a Cartesian product to form the returned point matrix.

  [supportPoints, supportVectors] = TensorSpline.pointsOfSupportFromKnotPoints(knotPoints, S=[3 3]);
  values = spline(supportVectors{:});