We use Cayley-Menger Determinants (CMDs) to obtain an intrinsic formulation of geometric constraints. First, we show that classical CMDs are very convenient to solve the Stewart platform problem. Second, issues like distances between points, distances between spheres, cocyclicity and cosphericity of points are also addressed. Third, we extend CMDs to deal with asymmetric problems. In 2D, the following configurations are considered: 3 points and a line; 2 points and 2 lines; 3 lines. In 3D, we consider: 4 points and a plane; 2 points and 3 planes; 4 planes.
|Original language||English (US)|
|Number of pages||6|
|Journal||ACM Symposium on Solid Modeling and Applications, SM|
|State||Published - 2004|
|Event||Ninth ACM Symposium on Solid Modeling and Applications, SM'04 - Genoa, Italy|
Duration: Jun 9 2005 → Jun 11 2005
ASJC Scopus subject areas