Abstract
A method is given for the construction of tubular surface patches. These surfaces are built from a 3D directrix curve that is single-valued either in Cartesian or in cylindrical coordinates. Control points for defining the patch lie on certain directions the distribution of which is controlled by two knot vectors. The surface is evaluated following a B-spline scheme. The distance between the surface and the directrix is a bivariate single-valued expression of two variables: the parameter corresponding to the directrix and an angular parameter around the directrix. The main advantage of this representation is that there exists a simple Point Membership Classification algorithm for the volume defined between two tubular patches. Therefore, such volumes can be incorporated as nodes in a CSG context.
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