Seminar in Real & Complex Geometry

Thursday, 26.12.2013, 16:30-18:00, Schreiber building, room 210

Alfred Inselberg, Tel Aviv University

On the representation of hyperplanes in parallel coordinates


Introduction to Parallel Coordinates, point-line duality in the plane and the representation of lines in RN by (N-1) points with 2 indices. A class of special 2-flats, the "superplanes", with very convenient properties enables the representation of hyper planes in RN by (N-1) points with N indices. This leads to a translation-rotation duality and construction algorithms for containment and intersections. The results are used in the subsequent talk.