Algebraic Surfaces with Reducible Bitangent and Osculating Hyperplanar Sections

Reducible Hyperplane Sections I

Algorithms on cone spline surfaces and spatial osculating arc splines

Developable surfaces are of considerable importance to many industry applications, e.g. sheet metal forming processes. The objective of this paper is to provide algorithms on the approximation of developable surfaces with pieces of right circular cones. Special emphasis is devoted to practical choices of free parameters and to error estimation. Furthermore, a new algorithm for the approximation...

ALGEBRAIC SURFACES WITH ' q

Geometric Modeling with Algebraic Surfaces

Research in geometric modeling is currently engaged in increasing the geometric coverage to allow modeling operations on arbitrary algebraic surfaces. Operations on models often include Boolean set operations (intersection, union), sweeps and convolutions, convex bull computa· tions, primitive decomposition, surface and volume mesh generatioD, calculation of surface area and volumetric properti...

Surfaces with Central Convex Cross-sections

Say that a surface in S ⊂ R has the central plane oval property, or cpo, if • S meets some affine plane transversally along an oval, and • Every such transverse plane oval on S has central symmetry. We show that a complete, connected C surface with cpo must either be a cylinder over a central oval, or else quadric. We apply this to deduce that a complete C surface containing a transverse plane ...