Consider a graph G with n vertices. In this paper we study geometric conditions for an n-tuple of points in Rd to admit a non-zero self stress with underlying graph G. We introduce...
Tensegrity structures are lightweight structures composed of cables in tension and struts in compression. Since tensegrity systems exhibit geometrically nonlinear behavior, findin...
This paper uses a configuration space ( -space) based method to compute interference-free configuration for stacking polyhedral sheet metal parts. This work forms the interference ...
Venkateswara R. Ayyadevara, David A. Bourne, Kenji...
This paper gives n-dimensional analogues of the Apollonian circle packings in Parts I and II. Those papers considered circle packings described in terms of their Descartes configur...
Ronald L. Graham, Jeffrey C. Lagarias, Colin L. Ma...
We understand and reconstruct special surfaces from 3D data with line geometry methods. Based on estimated surface normals we use approximation techniques in line space to recogniz...
Helmut Pottmann, Michael Hofer, Boris Odehnal, Joh...