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Algebraic Geometry

• Problem Area
  • Computing with and reasoning about geometric objects.
  • Representation by algebraic sets.
  • Manipulation by computer algebra methods.
• Software: CASA
  • Computer Algebra Software for Constructive Algebraic Geometry.
  • Implementation in the computer algebra system Maple.
  • Franz Winkler et al., 1990-
• Application: Scientific Visualization.
  • Plane curves.
  • Surface-to-surface intersections.