Quasinonparametric surfaces

  • Sánchez-Reyes J
  • 2

    Readers

    Mendeley users who have this article in their library.
  • 4

    Citations

    Citations of this article.

Abstract

The concept of nonparametric surfaces is extended to the definition of quasinonparametric surfaces. These surfaces project one to one onto the plane z = 0 and are built up over the area between two curves that are single-valued, either in Cartesian or in polar coordinates. In the Cartesian case, a subset of nonrational B-spline surfaces is used. The scheme in polar coordinates exhibits all the positive properties of the B-spline tensor-product approach, and yields a piecewise rational Bézier surface. The main interest of this representation is that there exists a very simple point membership classification algorithm for the volume defined between two quasinonparametric patches. Therefore, such a volume can be incorporated as a primitive into a CSG solid-modelling system. © 1995.

Author-supplied keywords

  • nurbs
  • quasinonparametric patches
  • solid modelling

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free