Learn More
Offsets, sweeps, and Minkowski operations (Mops) are easy to define in the existential (representation-free) mathematics of point sets, but computing 'values' for offset, swept, and M-summed entities is thought to be difficult by many. This article argues that such computations may be easy if (1) they are cast in specific application contexts, and (2)(More)
Ray-representations simplify geometrical calculations and effectively decouple application design from the particulars of modeling systems. They extend the geometric coverage of solid modelers, while increasing the range of supported applications. The authors list some of the problems with solid modelling and explain how the use of ray representations for(More)
Much of the analysis done in engineering design involves solution of vartial differential actuations (PDEs) that are subject to ini~ial-value or boundary-value conditions; generically these are called 'field problems'. Finite-element and finite-difference methods (FEM, FDM) are the predominant solution techniques, but these are often too expensive or too(More)
The predominant engineering analysis techniques are finite element, finite difference, and boundary element methods. These techniques are global in that they attempt to solve field problems over an entire domain, and involve tedious pre-processing (meshing). In contrast, Monte Carlo (MC) methods are meshless techniques for estimating field values at(More)
  • 1