Journal for Geometry and Graphics 10 (2006), No. 1, 099--107
Copyright Heldermann Verlag 2006
Blending Circular Pipes With a Cyclic Surface
Kamil Malecek
Dept. of Mathematics, Faculty of Civil Engineering, Technical University, Thákurova 7, 166 29 Prague 6, Czech Republic
kamil@fsv.cvut.cz
Zdenek Sibrava
Dept. of Mathematics, Faculty of Civil Engineering, Technical University, Thákurova 7, 166 29 Prague 6, Czech Republic
sibrava@fsv.cvut.cz
This paper deals with circular surfaces joining two cylinders of revolution with axes in a common plane and different radii. Two functions are used in order to define the radii of the desired transition surface. One is polynomial and the other is transcendental. There are two points of view on the problem. One is the theoretical background, and the other relates to its technical use.
Keywords: Transition surface, cyclic surface, cubic.
MSC: 68U05; 53A05
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