Geometric Interoperability With Epsilon Solidity

Abstract

Geometric data interoperability is critical in industrial applications where geometric data are transferred (translated) among multiple modeling systems for data sharing and reuse. A big obstacle in data translation lies in that geometric data are usually imprecise and geometric algorithm precisions vary from system to system. In the absence of common formal principles, both industry and academia embraced ad hoc solutions, costing billions of dollars in lost time and productivity. This paper explains how the problem of interoperability, and data translation in particular, may be formulated and studied in terms of a recently developed theory of ε-solidity. Furthermore, a systematic classification of problems in data translation shows that in most cases ε-solids can be maintained without expensive and arbitrary geometric repairs.

An efficient approach to directly compute the exact Hausdorff distance for 3D point sets

“…(1) The qualitative evaluation of model similarity, such as similarity assessments for 3D CAD/ CAE model retrieval [10,17], focused on the qualitative aspects of the models, e.g., topological result and geometric profile. On the other hand, in the field of data exchange [29,37,42,51,57,58,67,69] and collaborative design [19,20,33,44,45,49], the quantitative comparison of the similarity between source and target of feature-based CAD models is the latest development [72]. So the proposed method can be adopted in this area to improve the computing efficiency of quantitative comparisons between large scale models in engineering applications of CAD/CAE/CAM in the future.…”

Preserving Computer-Aided Design (CAD)

“…Even if the specifications were released, it is doubtful this would provide enough information to exactly replicate a CAD model in a different system. CAD files tend not to be exhaustive descriptions of a model, but rather more like recipes for building the model within the software (Qi and Shapiro, 2006). The modelling kernel and built-in feature logic have a strong influence on how a CAD file is interpreted, meaning that even later versions of the same piece of software, ostensibly using the same file format, might bring up somewhat different models on reading the same CAD file.…”

Quantitative optimization of interoperability during feature-based data exchange

“…The theory indicates the existence of unambiguous representations of geometry although GBDE must consider the precision of the representation and computing of a computer [62,63]. In contrast, most of the modern commercial CAD systems provide a feature modeling technique, but there is no uniform standard on the feature modeling technique.…”