A fractal-based 2D expansion method for multi-scale volume data visualization

T. Fujiwara, M. Iwamaru, Manabu Tange, S. Someya, K. Okamoto

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Visualization of volume data is difficult to realize and control because the most common output device is a two-dimensional (2D) display and the most common input device is a mouse, which only allows 2D operation. For example, volume rendering projects the data structure onto a 2D image plane, but this type of view-dependent method gives rise to occlusion. In addition, 2D mouse operation does not allow direct selection of three-dimensional (3D) regions or coordinates. In this article, we propose a method that expands the octree structure of volume data onto a 2D plane. The proposed method uses the self-similarity of the fractal diagram and achieves multi-scale visualization of volume data in two dimensions. With this method, we can browse the entire domain of volume data without occlusion. For greater effectiveness, we combined the proposed method and existing 3D-based methods. Since each cell has a one-to-one correspondence with squares in the Sierpinski carpet, we can assign arbitrary 3D regions or positions by selecting the corresponding squares. This provides direct access to 3D regions and coordinates by 2D mouse operation. We propose some functions for interactive visualization and discuss how to exploit the advantages and lessen the disadvantages of the proposed method.

Original languageEnglish
Pages (from-to)171-190
Number of pages20
JournalJournal of Visualization
Volume14
Issue number2
DOIs
Publication statusPublished - 2011 Jun

Fingerprint

scientific visualization
Data visualization
Fractals
fractals
Visualization
expansion
mice
occlusion
Volume rendering
Data structures
Display devices
data structures
diagrams
output
cells

Keywords

  • Flow visualization
  • Fractals
  • Hierarchical image representation
  • Multidimensional image representation
  • Scientific visualization
  • Visualization technique and methodologies
  • Volume visualization

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electrical and Electronic Engineering

Cite this

A fractal-based 2D expansion method for multi-scale volume data visualization. / Fujiwara, T.; Iwamaru, M.; Tange, Manabu; Someya, S.; Okamoto, K.

In: Journal of Visualization, Vol. 14, No. 2, 06.2011, p. 171-190.

Research output: Contribution to journalArticle

Fujiwara, T. ; Iwamaru, M. ; Tange, Manabu ; Someya, S. ; Okamoto, K. / A fractal-based 2D expansion method for multi-scale volume data visualization. In: Journal of Visualization. 2011 ; Vol. 14, No. 2. pp. 171-190.
@article{f82485b7ba3d4b45ab0ca5e088ad9387,
title = "A fractal-based 2D expansion method for multi-scale volume data visualization",
abstract = "Visualization of volume data is difficult to realize and control because the most common output device is a two-dimensional (2D) display and the most common input device is a mouse, which only allows 2D operation. For example, volume rendering projects the data structure onto a 2D image plane, but this type of view-dependent method gives rise to occlusion. In addition, 2D mouse operation does not allow direct selection of three-dimensional (3D) regions or coordinates. In this article, we propose a method that expands the octree structure of volume data onto a 2D plane. The proposed method uses the self-similarity of the fractal diagram and achieves multi-scale visualization of volume data in two dimensions. With this method, we can browse the entire domain of volume data without occlusion. For greater effectiveness, we combined the proposed method and existing 3D-based methods. Since each cell has a one-to-one correspondence with squares in the Sierpinski carpet, we can assign arbitrary 3D regions or positions by selecting the corresponding squares. This provides direct access to 3D regions and coordinates by 2D mouse operation. We propose some functions for interactive visualization and discuss how to exploit the advantages and lessen the disadvantages of the proposed method.",
keywords = "Flow visualization, Fractals, Hierarchical image representation, Multidimensional image representation, Scientific visualization, Visualization technique and methodologies, Volume visualization",
author = "T. Fujiwara and M. Iwamaru and Manabu Tange and S. Someya and K. Okamoto",
year = "2011",
month = "6",
doi = "10.1007/s12650-011-0084-z",
language = "English",
volume = "14",
pages = "171--190",
journal = "Journal of Visualization",
issn = "1343-8875",
publisher = "Springer Heidelberg",
number = "2",

}

TY - JOUR

T1 - A fractal-based 2D expansion method for multi-scale volume data visualization

AU - Fujiwara, T.

AU - Iwamaru, M.

AU - Tange, Manabu

AU - Someya, S.

AU - Okamoto, K.

PY - 2011/6

Y1 - 2011/6

N2 - Visualization of volume data is difficult to realize and control because the most common output device is a two-dimensional (2D) display and the most common input device is a mouse, which only allows 2D operation. For example, volume rendering projects the data structure onto a 2D image plane, but this type of view-dependent method gives rise to occlusion. In addition, 2D mouse operation does not allow direct selection of three-dimensional (3D) regions or coordinates. In this article, we propose a method that expands the octree structure of volume data onto a 2D plane. The proposed method uses the self-similarity of the fractal diagram and achieves multi-scale visualization of volume data in two dimensions. With this method, we can browse the entire domain of volume data without occlusion. For greater effectiveness, we combined the proposed method and existing 3D-based methods. Since each cell has a one-to-one correspondence with squares in the Sierpinski carpet, we can assign arbitrary 3D regions or positions by selecting the corresponding squares. This provides direct access to 3D regions and coordinates by 2D mouse operation. We propose some functions for interactive visualization and discuss how to exploit the advantages and lessen the disadvantages of the proposed method.

AB - Visualization of volume data is difficult to realize and control because the most common output device is a two-dimensional (2D) display and the most common input device is a mouse, which only allows 2D operation. For example, volume rendering projects the data structure onto a 2D image plane, but this type of view-dependent method gives rise to occlusion. In addition, 2D mouse operation does not allow direct selection of three-dimensional (3D) regions or coordinates. In this article, we propose a method that expands the octree structure of volume data onto a 2D plane. The proposed method uses the self-similarity of the fractal diagram and achieves multi-scale visualization of volume data in two dimensions. With this method, we can browse the entire domain of volume data without occlusion. For greater effectiveness, we combined the proposed method and existing 3D-based methods. Since each cell has a one-to-one correspondence with squares in the Sierpinski carpet, we can assign arbitrary 3D regions or positions by selecting the corresponding squares. This provides direct access to 3D regions and coordinates by 2D mouse operation. We propose some functions for interactive visualization and discuss how to exploit the advantages and lessen the disadvantages of the proposed method.

KW - Flow visualization

KW - Fractals

KW - Hierarchical image representation

KW - Multidimensional image representation

KW - Scientific visualization

KW - Visualization technique and methodologies

KW - Volume visualization

UR - http://www.scopus.com/inward/record.url?scp=84856301122&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856301122&partnerID=8YFLogxK

U2 - 10.1007/s12650-011-0084-z

DO - 10.1007/s12650-011-0084-z

M3 - Article

AN - SCOPUS:84856301122

VL - 14

SP - 171

EP - 190

JO - Journal of Visualization

JF - Journal of Visualization

SN - 1343-8875

IS - 2

ER -