| Sign In to gain access to subscriptions and/or personal tools. |
Modeling Spaces for Toleranced ObjectsDépartement d'informatique et de recherche opérationnelle Université de Montréal Montréal, Québec, Canada H3C 3J7
Département d'informatique et de recherche opérationnelle Université de Montréal Montréal, Québec, Canada H3C 3J7 In this article we propose a modeling space for objects defined in terms of tolerances based on Requicha's sug gestion of using variational classes. Variational classes are subsets of the hyperspace 2En, where En is euclidean n-space. In order to motivate the ideas, the discussion involves the same simple example throughout: the specifi cation of a ball bearing defined by position, size, and form constraints. We begin by discussing the relationship between Reguicha's original proposal and our proposal for a definition of what should be viewed as a permissible variational class. We call such a permissible class, together with a nominal solid S, an R-class. We then introduce generalized versions of the regularized Boolean operations, which operate not on r-sets, but rather on R- classes. Just as the r-sets are closed under regularized Boolean operations, so the R-classes are closed under the generalized versions of the regularized Boolean opera tions. Finally, we discuss the relationship between the R- classes and the particular feature tolerancing methods proposed by Requicha.
The International Journal of Robotics Research, Vol. 10, No. 5,
570-582 (1991) |
|||
 |
|
|
 |
|
Sign In to gain access to subscriptions and/or personal tools.
