Steps into a geometer's workbench
Varol Akman · Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands · 1987
As computational geometry matures, it becomes crucial to use its techniques in the professional environment where graphics and robotics are natural candidates.This however is a nontrivial task since (i) computational geometry concerns itself with asymptotic analysis, and (ii) in search of elegance it ignores the special cases which are the bugbear of practical applications.I see experimentation as a way to resolve these difficulties and propose a software system to act as a "Geometer's Workbench."This entails the integration of geometric knowledge with algorithm animation and object-oriented graphics.The workbench should allow improvisation with geometric objects and is expected to broaden the way geometry is used in the style Macsyma accomplished for algebra.