NURB curves
and surfaces are the industry standard for geometry description
in CAD/CAM or Computer Graphics.
NURBS
are piecewise rational; they are the logical
extension of B-spline or Bezier entitities.
While those
have their roots in affine
geometry, NURBS cannot be understood without paying attention to
their foundations
in projective geometry - this constitutes the first part of the
book.
After these
foundations have been laid, rational conics and Bezier curves are
introduced;
rational B-spline curves (NURBS) follow. As a further extension,
the surfaces corresponding
to these curves are also introduced. Applications include Pythagorean
Hodograph curves
and developable surfaces.
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