We introduce a smooth approximation of the mini/max operations, called signed approximate real distance function (SARDF), for maintaining an approximate signed distance function in constructive shape modeling. We apply constructive distance-based shape modeling to design objects with heterogeneous material distribution in the constructive hypervolume model framework. The introduced distance approximation helps intuitively model material distributions parametrized by distances to so-called material features. The smoothness of the material functions, provided here by the smoothness of the defining function for the shape, helps to avoid undesirable singularities in the material distribution, like stress or concentrations. We illustrate application of the SARDF operations by two- and three-dimensional heterogeneous object modeling case studies.
|Number of pages||9|
|Journal||Journal of Computing and Information Science in Engineering|
|Publication status||Published - Sep 2006|
- Constructive heterogeneous object modeling
- Distance function approximation
- Function representation (FRep)
- Set-theoretic operations