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

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 publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Pages306-315
Number of pages10
Volume6453 LNCS
EditionPART 1
DOIs
Publication statusPublished - 2010
Event6th International, Symposium on Visual Computing, ISVC 2010 - Las Vegas, NV
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)03029743
ISSN (Electronic)16113349

Other

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

Fingerprint

Data visualization
Fractals
Display devices
Volume rendering
Animation
Shielding
Visualization

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

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 Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (PART 1 ed., Vol. 6453 LNCS, 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

Fractal map : Fractal-based 2D expansion method for multi-scale high-dimensional data visualization. / Fujiwara, Takanori; Matsushita, Ryo; Iwamaru, Masaki; Tange, Manabu; Someya, Satoshi; Okamoto, Koji.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 6453 LNCS PART 1. ed. 2010. p. 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).

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

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 Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). PART 1 edn, vol. 6453 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 1, vol. 6453 LNCS, pp. 306-315, 6th International, Symposium on Visual Computing, ISVC 2010, Las Vegas, NV, 10/11/29. https://doi.org/10.1007/978-3-642-17289-2_30
Fujiwara T, Matsushita R, Iwamaru M, Tange M, Someya S, Okamoto K. Fractal map: Fractal-based 2D expansion method for multi-scale high-dimensional data visualization. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). PART 1 ed. Vol. 6453 LNCS. 2010. p. 306-315. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1). https://doi.org/10.1007/978-3-642-17289-2_30
Fujiwara, Takanori ; Matsushita, Ryo ; Iwamaru, Masaki ; Tange, Manabu ; Someya, Satoshi ; Okamoto, Koji. / Fractal map : Fractal-based 2D expansion method for multi-scale high-dimensional data visualization. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 6453 LNCS PART 1. ed. 2010. pp. 306-315 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 1).
@inproceedings{6cd8dd8b7cc84a6b8646574cc32c1bac,
title = "Fractal map: Fractal-based 2D expansion method for multi-scale high-dimensional data visualization",
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.",
author = "Takanori Fujiwara and Ryo Matsushita and Masaki Iwamaru and Manabu Tange and Satoshi Someya and Koji Okamoto",
year = "2010",
doi = "10.1007/978-3-642-17289-2_30",
language = "English",
isbn = "3642172881",
volume = "6453 LNCS",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
number = "PART 1",
pages = "306--315",
booktitle = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
edition = "PART 1",

}

TY - GEN

T1 - Fractal map

T2 - Fractal-based 2D expansion method for multi-scale high-dimensional data visualization

AU - Fujiwara, Takanori

AU - Matsushita, Ryo

AU - Iwamaru, Masaki

AU - Tange, Manabu

AU - Someya, Satoshi

AU - Okamoto, Koji

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=78650787329&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650787329&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-17289-2_30

DO - 10.1007/978-3-642-17289-2_30

M3 - Conference contribution

SN - 3642172881

SN - 9783642172885

VL - 6453 LNCS

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 306

EP - 315

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

ER -