T10Parallel Coordinates in the 21st Century
- Organizer
- Alfred Inselberg, School of Mathematical Sciences, Tel Aviv University
- Speakers
- Alfred Inselberg, School of Mathematical Sciences, Tel Aviv University
- Abstract
- The desire to augment our 3-dimensional perception and the need to understand multivariate problems
spawned several multidimensional visualization methodologies. Understanding the underlying geometry
of a multivariate problem provides insight into what is possible and what is not. After a short overview,
Parallel Coordinates are introduced and developed rigorously showing, using new didactic software,
how multidimensional lines, hyperplanes, fats, curves and smooth hypersurfaces can be visualized unambiguously.
The development is interlaced with applications including Visual Data Mining (EDA) on
real datasets (i.e. Feature extraction, GIS, Financial, Process Control, and others with hundreds of variables).
There follow collision avoidance algorithms for air traffc control and detection of coplanarity and
near-coplanarity with numerous applications. A geometric automatic classifier is applied to challenging
clustering and classification problems. It provides the classification rule explicity and visually. Nonlinear
VISUAL models in terms of hypersurfaces are constructed from data and used interactively for Decision
Support discovering Feasibilites, Interelations, Sensitivities, enabling Constraint and Trade-Off Analysis.
Our goal has been to concentrate the relational information within a dataset into clear patterns eliminating
the polygonal lines altogether. In view of recent results this prospect is becoming attainable as
illustrated with a difficult problem central to many applications(Computer Vision, Geometric Modeling,
Statistics).
- Speakers' Background
-
- Alfred Inselberg
- received a Ph.D. in Applied Mathematics and Physics from the Univ. of Illinois
(Champaign-Urbana) and held several academic positions in the USA (Univ. of Ill., UCLA, USC) and
Israel (Tel Aviv University). He was Senior Technical Corporate Staff Member (rank just below Fellow) at IBM doing research
for 30 years. In 1996 he was elected Senior Fellow at the San Diego SuperComputing Center. He founded
a company, Multidimensional Graphs Ltd, and teaches at the School of Mathematical Sciences Tel Aviv
University. He invented and developed Parallel Coordinates, holds several patents, has numerous journal
papers, professional and academic awards, and is completing the textbook on Parallel Coordinates.
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