Fast computation of inertia through affinely extended Euler tensor

Lee, 1982, Algorithms for computing the volume and other integral properties of solids i: known methods and open issues, Communications of the ACM, 25, 635, 10.1145/358628.358643 Timmer, 1980, Computation of global geometric properties of solid objects, Computer-Aided Design, 12, 301, 10.1016/0010-4485(80)90093-7 Morteson, 1985 Lien, 1984, Symbolic method for calculating the integral properties of arbitrary nonconvex polyhedra, IEEE Computer Graphics & Applications, 4, 35, 10.1109/MCG.1984.6429334 Cattani, 1990, Boundary integration over linear polyhedra, Computer-Aided Design, 22, 130, 10.1016/0010-4485(90)90007-Y Bernardini, 1991, Integration of polynomials over n-dimensional polyhedra. In: Beyond Solid Modeling, Computer-Aided Design, 23, 51, 10.1016/0010-4485(91)90099-I Gonzalez-Ochoa, 1998, Computing moments of objects enclosed by piecewise polynomial surfaces, ACM Transacitons on Graphics, 17, 143, 10.1145/285857.285858 Huang, 1969 Paoluzzi A. Integration constraints in parametric design of physical objects. Techn. rep. 87-804. Ithaca, (NY): Dept. of Computer Science, Cornell University; January 1987 Paoluzzi, 2003 Bajaj, 2006, Progressive conversion from B-rep to BSP for streaming geometric modeling, Computer-Aided Design and Applications, 3 Scorzelli G, Paoluzzi A, Pascucci V. Parallel solid modeling using BSP dataflow. International Journal of Computational Geometry & Applications 2007;16 [in press] Clayberg, 2004 Gurtin, 1981 Heinbocke, 2001 Paoluzzi, 1995, Geometric programming: a programming approach to geometric design, ACM Transactions on Graphics, 14, 266, 10.1145/212332.212349 Paoluzzi The Eclipse Consortium