... bisector. By using the error metric with respect to the closest Apex, it is ensured that the resulting disk corresponding to the MAT point is always contained within the solid model. Out of three possible combinations shown in Fig. 9 , we would be interested in the MAT point having the largest radius...

... ) proposed an epsilon geometry framework for building robust geometric algorithms out of imprecise computations that arise from the use of finite precision arithmetic. Their results are not applicable to the solid modeling and translation problems because they assume that geometric data are exact...

... a three-tier (client-server-database) architecture based collaborative shape design system, Computer Aided Distributed Design and Collaboration (CADDAC). CADDAC has a centralized geometry kernel and constraint solver. The server-side provides support for solid modeling, constraint solving operations, data...

...-manifold models are required. Unfortunately, such data is not available for non-manifold models yet, while the data for solid models has been investigated by Wilson 31 . Thus, we estimate and compare the storage costs of data structures using the statistical data for solid models. According to Wilson 31...

...Di Wu, ASME Student Mem.; Radha Sarma, ASME Assoc. Mem. Currently boundary representations (b-reps) are a convenient means to exchange solid models between applications (e.g., design, manufacturing, inspection) in a distributed/collaborative design environment. There are two widely used approaches...

...Masatake Higashi; Hisashi Nakano; Atsuhide Nakamura; Mamoru Hosaka This paper introduces topological constraints to robustly and comprehensively process interference calculation in solid modeling and feature modeling, and describes a method of symbolic notation of their expressions and algorithms...