Abstract | ||
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An overview of themethodology covers the representation (i.e. visualization) of multidimensional lines, planes, flats, hyperplanes, and curves. Starting with the visualization of hypercubes of arbitrary dimension the representation of smooth surfaces is developed in terms of linked planar regions. The representation of developable, ruled, non-orientable, convex and non-convex surfaces in R3 with generalizations to RN are presented enabling efficient visual detection of surface properties. The parallel coordinates methodology has been applied to collision avoidance algorithms for air traffic control (3 USA patents), computer vision (1 USA patent), data mining (1 USA patent), optimization and elsewhere. |
Year | DOI | Venue |
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2007 | 10.1007/978-3-540-73843-5_12 | IMA Conference on the Mathematics of Surfaces |
Keywords | Field | DocType |
data mining,usa patent,efficient visual detection,planar region,air traffic control,computer vision,avoidance algorithm,non-convex surface,arbitrary dimension,multidimensional line,parallel coordinates | Developable surface,Visualization,Computer science,Regular polygon,Parallel coordinates,Planar,Hyperplane,Geometry,Hypercube,Tangent space | Conference |
Volume | ISSN | Citations |
4647 | 0302-9743 | 1 |
PageRank | References | Authors |
0.36 | 4 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Chao-kuei Hung | 1 | 1 | 1.38 |
Alfred Inselberg | 2 | 1230 | 165.81 |