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ADG
1998
Springer
138views Mathematics» more  ADG 1998»
13 years 9 months ago
Automated Geometry Diagram Construction and Engineering Geometry
This paper reviews and evaluates three main techniques for automated geometry diagram construction: synthetic methods, numerical computation methods, and symbolic computation metho...
Xiao-Shan Gao
JAR
2000
97views more  JAR 2000»
13 years 4 months ago
A Deductive Database Approach to Automated Geometry Theorem Proving and Discovering
We report our effort to build a geometry deductive database, which can be used to find the fixpoint for a geometric configuration. The system can find all the properties of the con...
Shang-Ching Chou, Xiao-Shan Gao, Jing-Zhong Zhang
DIAGRAMS
2000
Springer
13 years 9 months ago
Case Analysis in Euclidean Geometry: An Overview
This paper gives a brief overview of FG, a formal system for doing Euclidean geometry whose basic syntactic elements are geometric diagrams, and which has been implimentented as th...
Nathaniel Miller
IMR
2003
Springer
13 years 10 months ago
Unified Geometry Access for Analysis and Design
This paper presents a comprehensive approach for CAD based geometry handling in support of single and multidisciplinary analysis and design. Unlike previous schemes, the model pre...
Robert Haimes, Curran Crawford
SMA
2003
ACM
120views Solid Modeling» more  SMA 2003»
13 years 10 months ago
Three-dimensional halfspace constructive solid geometry tree construction from implicit boundary representations
This paper presents a new method to compute constructive solid geometry (CSG) tree representations of an object whose faces consist of planar and non-planar surfaces. The algorith...
Suzanne F. Buchele, Richard H. Crawford