Fractal map: Fractal-based 2D expansion method for multi-scale high-dimensional data visualization

Takanori Fujiwara, Ryo Matsushita, Masaki Iwamaru, Manabu Tange, Satoshi Someya, Koji Okamoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Visualization of high-dimensional data is difficult to realize and manipulate with 2D display. For example, visualizing time-varying volume data (4D) with volume rendering and animation has spatial and temporal shielding, and data of 5 or more dimensions cannot be visualized on 2D display with existing methods. In this paper, we propose a method that expands high-dimensional data onto a 2D image plane. The proposed method uses the self-similarity of the fractal shape and achieves multi-scale high-dimensional data visualization on 2D display. With this method, we can visualize the entire domain of high-dimensional data without occlusions. Also, one-to-one correspondence in the elements of high-dimensional data and its 2D expansion enables us to manipulate high-dimensional data with 2D expanded result as an interface.

Original languageEnglish
Title of host publicationAdvances in Visual Computing - 6th International Symposium, ISVC 2010, Proceedings
Pages306-315
Number of pages10
EditionPART 1
DOIs
Publication statusPublished - 2010
Event6th International, Symposium on Visual Computing, ISVC 2010 - Las Vegas, NV, United States
Duration: 2010 Nov 292010 Dec 1

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
NumberPART 1
Volume6453 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other6th International, Symposium on Visual Computing, ISVC 2010
CountryUnited States
CityLas Vegas, NV
Period10/11/2910/12/1

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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    Fujiwara, T., Matsushita, R., Iwamaru, M., Tange, M., Someya, S., & Okamoto, K. (2010). Fractal map: Fractal-based 2D expansion method for multi-scale high-dimensional data visualization. In Advances in Visual Computing - 6th International Symposium, ISVC 2010, Proceedings (PART 1 ed., pp. 306-315). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6453 LNCS, No. PART 1). https://doi.org/10.1007/978-3-642-17289-2_30