NURBS library features

The library functions are categorized by the NURBS type of the object

• NURBS curve:
  • Generate a NURBS curve of any degree
  • Evaluate the curve in homogenous space or 3D space.
  • Evaluate the derivative of the curve in homogenous space or 3D space.
  • Degree elevation.
  • Knot removal or insertion.
  • Remove knots to a certain error bound.
  • Generate a curve by global interpolation.
  • Generate a curve by least square fitting.
  • Generate a curve by global approximation.
  • Generate a circular arc.
  • Project a point to the curve.
  • You can compute the length of a curve and you can even limit this computation to a certain range.
  • Can write the NURBS curve as a VRML file, a POV-Ray file or a RIB file.
  • An interface to OpenGL exists.
• NURBS surface:
  • Generate a NURBS surface of any degree
  • Evaluate the surface in homogenous space or 3D space.
  • Evaluate the partial derivative of the surface in homogenous space or 3D space.
  • Degree elevation in u and/or v parametric direction
  • Knot removal or insertion in the u and/or v parametric space
  • Generate a surface by global interpolation.
  • Generate a surface by least square fitting.
  • Generate a surface by skinning curves.
  • Generate a surface by sweeping a curve along a path.
  • Generate a surface by revolution of a curve around an axis.
  • Generates a Gordon surface from a bi-directionnal set of curves.
  • Generate an offset (or parallel) surface from another.
  • Project a point to the surface.
  • Can write the NURBS surface as a VRML file, a POV-Ray file or a RIB file.
  • An interface to OpenGL exists.
• Hierachical NURBS surface:
  • Generate a HNURBS surface of any degree
  • Evaluate the surface in homogenous space or 3D space.
  • Evaluate the partial derivative of the surface in homogenous space or 3D space.
  • Degree elevation
  • Knot removal or insertion
  • Add/Remove levels of details
  • Project a point to the surface.
  • Transform from a NURBS surface into a HNURBS surface
  • Transform a HNURBS surface into a NURBS surface
  • Can write the HNURBS surface as a VRML file, a POV-Ray file or a RIB file.
  • An interface to OpenGL exists.
• A NURBS editor:
  • Uses OpenGL for the display.
  • Is a test bed to find and elliminate bugs in the library.
  • Is used to test new functions and new user interface. Progress in this category will be added to the Mind's Eyes project modeller.