Document Open Access Logo

Generalized Hyper-cylinders: a Mechanism for Modeling and Visualizing N-D Objects

Authors Matthew O. Ward, Zhenyu Guo



PDF
Thumbnail PDF

File

DFU.SciViz.2010.1.pdf
  • Filesize: 1.05 MB
  • 10 pages

Document Identifiers

Author Details

Matthew O. Ward
Zhenyu Guo

Cite AsGet BibTex

Matthew O. Ward and Zhenyu Guo. Generalized Hyper-cylinders: a Mechanism for Modeling and Visualizing N-D Objects. In Scientific Visualization: Advanced Concepts. Dagstuhl Follow-Ups, Volume 1, pp. 1-10, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2010)
https://doi.org/10.4230/DFU.SciViz.2010.1

Abstract

The display of surfaces and solids has usually been restricted to the domain of scientific visualization; however, little work has been done on the visualization of surfaces and solids of dimensionality higher than three or four. Indeed, most high-dimensional visualization focuses on the display of data points. However, the ability to effectively model and visualize higher dimensional objects such as clusters and patterns would be quite useful in studying their shapes, relationships, and changes over time. In this paper we describe a method for the description, extraction, and visualization of N-dimensional surfaces and solids. The approach is to extend generalized cylinders, an object representation used in geometric modeling and computer vision, to arbitrary dimensionality, resulting in what we term Generalized Hyper-cylinders (GHCs). A basic GHC consists of two N-dimensional hyper-spheres connected by a hyper-cylinder whose shape at any point along the cylinder is determined by interpolating between the endpoint shapes. More complex GHCs involve alternate cross-section shapes and curved spines connecting the ends. Several algorithms for constructing or extracting GHCs from multivariate data sets are proposed. Once extracted, the GHCs can be visualized using a variety of projection techniques and methods toconvey cross-section shapes.
Keywords
  • N-Dimensional Visualization
  • Cluster Visualization

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads
Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail