Parallel Coordinates: Visual Multidimensional Geometry and its Applications

Relatore:  Alfred Inserlberg - University of Tel Aviv
  martedì 22 maggio 2018 alle ore 14.30 room M
• Introduction to Scientific, Information and Multidimensional Visualization – Course overview

• Parallel Coordinates in the Plane – Dualities, Transformations, Visual and Automatic Data Mining (Live Exploration of real multivariate datasets: Financial, Telemetry, Neural Pulses)

• Lines in N-space – Representations of Lines – Distance & Proximity Properties – Application : Collision Avoidance Algorithms for Air Traffic Control with live demos.

• Coplanarity – Representations of Planes, Flats & Hyperplanes – Recursive Mapping, dualities and demos – “Near Coplanarity” – a central problem in many applications: (Commodity Market, Buy-Sell indicators and a remarkable profit-risk relation)

• Curves – including theory of Envelopes

• Visualizing Proximities (Topologies) – Lines, Planes and Hyperplanes. Demos and applications to Geometric Modeling (with Tolerances), Statistics, Approximations.

• Hypersurfaces in N-space – Representation by (N−1) planar regions. Classes of surfaces: Developable, Ruled, Algebraic, Convex, some Non-Convex and Non-orientable. Detecting their properties visually from their representation patterns. Interior Point Algorithms, more on Data Mining, Decision Support & Process Control, (Trade-Off Analysis, Sensitivities and Interrelations, Impact of Constraints, Optimization), Automatic Rule Finder (Classifier for Data Mining), Research Topics.

• Newest topics – To See C2 – visualizing complex valued functions – Visualizing Large Networks – their topological and other properties – Separating points clusters into coplanar sub-clusters.

Prerequisite: Familiarity with Linear Algebra
Bibliography: Textbook (with Interactive Learning Module) – A. Inselberg, Parallel Coordinates: Visual Multidimensional Geometry and its Applications, Springer, New York, 2009
Contact persons: N. Sansonetto and P. Fiorini
Titolo Formato  (Lingua, Dimensione, Data pubblicazione)
2d  pdfpdf (it, 233 KB, 22/05/18)
3-lines  pdfpdf (it, 421 KB, 22/05/18)
4-planes  pdfpdf (it, 822 KB, 22/05/18)
AIRlect2018  pdfpdf (it, 4414 KB, 22/05/18)
intro  pdfpdf (it, 918 KB, 22/05/18)

Referente
Marco Caliari

Referente esterno
Data pubblicazione
22 maggio 2018

Offerta formativa

Condividi