surfParam - A Computer Program for Parametrizing Algebraic Surfaces

by Josef Schicho and Wolfgang Stöcher

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The Problem

The problem can be either seen geometrically or algebraically. We prefer to use geometric wording, but pure algebraic formalism.

The History

Parametrization of algebraic curves and surfaces and the concept of adjoints, our main tool, have their origin in the 19th century. However, missing gaps, both theoretical as well as practical, have been filled only recently. See the historic mile stones and their role in the final algorithm.