This package provides functionality to define and evaluate B-spline, Curry-Schoenberg, and NURBS (non-uniform rational B-spline) basis functions, their derivatives, as well as curves and surfaces based on B-spline and NURBS basis functions.

The following aspects are implemented (✓) and planned (⌛):

• ✓ Basis & derivatives
• ✓ Curves & derivatives
• ✓ Surfaces & derivatives

• ✓ File I/O (.step)
• ✓ Knot manipulation
  • knot insertion / refinement
  • knot removal
  • splitting of curves and surfaces
• ✓ Transformation of curves and surfaces
  • scaling
  • translating
  • rotating
  • mirroring
• ⌛ Degree elevation / reduction
• ⌛ Construction of common geometries

• ✓ Determine patch connectivity
  • identify interfaces between patches
  • introduce per patch local numbering for vertices and edges
• ✓ Virtual Bezier mesh connectivty (for FEM)
  • introduce on each patch a virtual Bezier mesh
  • determine adjacency information of mesh cells

Please cite this package following the information on Zenodo.

• Documentation for the latest stable version.
• Documentation for the development version.