Relational geometric synthesis: Part 1 - Framework

Abstract

A novel object-orientated framework is proposed for 3D computer-aided design. Geometric objects including points, lines, curves, surfaces and solids are defined and constructed in a system which captures and retains many dependency relationships between objects, in a data structure equivalent to a directed graph. The primary advantage is automatic updating of the model, preserving relationships, when an underlying object is changed. Multiple types of parametric curves and surfaces and multiple levels of dependency are supported through a recursive program structure. Difficulties of surface-surface intersection and trimming are largely avoided, by provision of novel entities and relationships which permit construction of accurate and durable joins between surface objects.

Reprinted from Computer-Aided Design, Volume 27 Number 11, John S Letcher Jr, D Michael Shook and Simon G Shepherd, Relational geometric synthesis: Part 1 - Framework, Pages 821-832, Copyright 1995, with permission from Elsevier Science Ltd, The Boulevard, Langford Lane, Kidlington OX5 1GB, UK

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