# Jerusalem Mathematics Colloquium

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Thursday, 30th May 2002, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Alfred Inselberg

### Senior Fellow in Visualization, San Giego SuperComputing Center

and Tel Aviv U. Computer Science Dept

##
Visualisation of Multidimensional Geometry and its Applications

** Abstract: **

For people working on multivariate (multidimensional) problems,
it is important to understand the underlying geometry, as it may
dictate what is possible and what is not. For example, in 1917
the physicist Ehrenfest showed that planetary orbits are stable
only in dimension 3. Another dimensionality result is that
rotating bodies have an axis of rotation only in odd-integer
dimensions. The applications presented here will be more down to
earth!

From a system of parallel coordinates a one-to-one mapping between
subsets of N-space and subsets of 2-space is obtained. This leads
to synthetic construction algorithms in N-space involving
intersections, proximity, interior point construction and "Line
and Plane Topologies" useful in Computer Vision and Geometric
Modeling, as well as Collision Avoidance Algorithms for Air
Traffic Control. Applications to Visual Data Mining are
illustrated with real datasets on Process Control, VLSI
production, Financial Analysis, Feature Extraction from
LandSat Data etc. A new geometric Automatic Classifier is
demonstrated on several high-dimensional datasets. Time
permitting, a Decision Support system capable of doing
Feasibility, Trade-Off and Sensitivity Analyses will be included.

Note: Do not be intimidated by this formal description. The speaker
is also well known for his numerological anecdotes and
palindromic digressions!

Coffee, Cookies at the faculty lounge at 3:30.

List of talks, 2001-02

List of talks, 2000-01

List of talks, 1998-99

List of talks, 1997-98