Cyclides in computer aided geometric design
Computer Aided Geometric Design
The NURBS book
Cyclides in computer aided geometric design II
Computer Aided Geometric Design
A Laguerre geometric approach to rational offsets
Computer Aided Geometric Design
Proceedings of the twenty-second annual symposium on Computational geometry
On quadratic two-parameter families of spheres and their envelopes
Computer Aided Geometric Design
3D ball skinning using PDEs for generation of smooth tubular surfaces
Computer-Aided Design
Variational skinning of an ordered set of discrete 2D balls
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
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Skinning of an ordered set of discrete circles is discussed in this paper. By skinning we mean the geometric construction of two G^1 continuous curves touching each of the circles at a point, separately. After precisely defining the admissible configuration of initial circles and the desired geometric properties of the skin, we construct the touching points and tangents of the skin by applying classical geometric methods, like cyclography and the ancient problem of Apollonius, finding touching circles of three given circles. Comparing the proposed method to a recent technique (Slabaugh et al., 2008, 2010), larger class of admissible data set and fast computation are the main advantages. Spatial extension of the problem for skinning of spheres by a surface is also discussed in detail.