Add some factory functions for (Tensor)B-splines#881
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- gsBasis::uniformRefine/Coarsen_withTransfer - gsConstantFunction - gsField - gsFunctionExpr::set_u - trampoline for gsFunctionSet and gsFunction - Extra functions (refinement, degree elevation etc) for gsMultiBasis - Improvements of templated basis bindings (gsHTensorBasis, gsTHBSpline) - gsOptionList: add function that writes to python dict - Improve argument names and default args of gsWriteParaview bindings - SparseMatrix Major template exposure to Pybind (for transfer matrix) - SparseMatrix cast to CSC Python structure - System, matrix and rhs independent assembly code for gsL2Projection - Exposure of quasi interpolation
- Add knot removal to gsBSpline and gsTensorBSpline(Basis) - Add factory functions to gsTensorBSpline for: * Bezier * Squared spline * Cubed spline * Gradient(s) of a spline * Divergence of a spline * Laplacian and Hessian of a spline
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Provided a spline$S(\xi,\eta,\dots)$ , this PR provides methods to obtain $S^2(\xi,\eta,\dots)$ , $S^3(\xi,\eta,\dots)$ , $\nabla S(\xi,\eta,\dots)$ , $\nabla \cdot S(\xi,\eta,\dots)$ , $\nabla^2 S(\xi,\eta,\dots)$ .
The PR also adds the knot removal algorithm which is used to go from a Bezier representation of a spline to a higher-continuous representation.
I have added an example, which compares the spline factories w.r.t.$L2$ projection and Quasi-Interpolation. There is no clear winner between the
interpolateAtAnchors,interpolateAtAnchorsand the spline factories. See the table here:NEW:
Add knot removal algorithm to gsBoehm (based on Piegl & Tiller)
Add knot removal to gsBSpline and gsTensorBSpline(Basis)
Add factory functions to gsTensorBSpline for Bezier, Squared spline, Cubed spline, Gradient(s) of a spline, Divergence of a spline, Laplacian and Hessian of a spline
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