Surface algorithms using bounds on derivatives
Computer Aided Geometric Design
Representation and deformation of developable surfaces
Computer-Aided Design
Interpolation with developable Be´zier patches
Computer Aided Geometric Design
Developable (1, n)-Be´zier surfaces
Computer Aided Geometric Design
Developable rational Be´zier and B-spline surfaces
Computer Aided Geometric Design
An O(h2n) Hermite approximation for conic sections
Computer Aided Geometric Design
Approximation by ruled surfaces
Journal of Computational and Applied Mathematics - Special issue on computational methods in computer graphics
Algorithms on cone spline surfaces and spatial osculating arc splines
Computer Aided Geometric Design
From Conics to NURBS: A Tutorial and Survey
IEEE Computer Graphics and Applications
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Fat conic section and fat conic spline are defined. With well established properties of fat conic splines, the problem of approximating a ruled surface by a tangent smooth cone spline can then be changed as the problem of fitting a plane fat curve by a fat conic spline. Moreover, the fitting error between the ruled surface and the cone spline can be estimated explicitly via fat conic spline fitting. An efficient fitting algorithm is also proposed for fat conic spline fitting with controllable tolerances. Several examples about approximation of general developable surfaces or other types of ruled surfaces by cone spline surfaces are presented.