Top

Published in:

01-06-2011 | Regular Paper

Data fitting independent of grid structure using a volumic version of MPU

Authors: Yuusuke Tsukamoto, Shuhei Kawashima, Seiji Inoue, Shin Ito, Shinji Kataoka, Kazuyuki Kojima, Kyoko Hasegawa, Susumu Nakata, Satoshi Tanaka

Published in: Journal of Visualization | Issue 2/2011

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

Volume graphics is a key technology in fields such as fluid dynamics and medical science. The visualization of volume data requires the creation of a continuous scalar field to exactly or approximately interpolate scalar values assigned to the discrete voxels. In the present paper, we propose a method that we refer to as the volumic version of the multi-level partition of unity (volumic MPU). The method approximately interpolates the scalar values with good precision to generate a scalar field that is continuous up to second-order differentiation. The volumic MPU, being independent of grid structures of input volume data, is applicable to both irregular-grid data and regular grid data. The volumic MPU can also be used as an effective data-compression technique. The speed to evaluate the created scalar field is almost as high as that of trilinear interpolation.

Graphical Abstract

previous article Fuel spray visualization and its impingement analysis on in-cylinder surfaces in a direct-injection spark-ignition engine

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

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Hansen CD, Johnson CR (2004) The visualization handbook. Elsevier, New York

Jang Y, Weiler M, Hopf M, Huang J, Ebert DS, Gaither KP, Ertl T (2004) Interactively visualizing procedually encoded scalar fields. In: Proceedings of Eurographics/IEEE TCVG symposium on visualization VisSym (Eurographics Association), pp 35–44

Lancaster P, Salkauskas K (1981) Surfaces generated by moving least squares methods. Math Comput 37(155):141–158MathSciNetMATHCrossRef

Lee S, Wolberg G, Shin SY (1997) Scattered data interpolation with multilevel B-splines. IEEE Trans Vis Comput Graphics 3(3):228–244CrossRef

Marschner SR, Lobb RJ (1994) An evaluation of reconstruction filters for volume rendering. Proc IEEE Vis 100–107

Ohtake Y, Belyaev A, Alexa M, Turk G, Seidel H-P (2003) Multi-level partition of unity implicits. In: Proceedings of SIGGRAPH 2003, ACM Transactions on Graphics, vol 22(3), pp 463–470

Savchenko VV, Pasko AA, Okunev OG, Kunii TL (1995) Function representation of solids reconstructed from scattered surface points and contours. Comput Graphics Forum 14(4):181–188CrossRef

Tsukamoto Y, Kataoka S, Hasegawa K, Nakata S, Tanaka S (2009) Data interpolation independent of grid structure using a volumic version of MPU. In: Proceedings of Asia simulation conference 2009 (CD-ROM), Shiga, Japan

Weiler M, Botchen RP, Stegmaier S, Huang J, Jang Y, Ebert D, Gaither K, Ertl T (2005) Hardware-assisted feature analysis and visualization of procedurally encoded multifiled volumetric data. Comput Graphics Appl 25(5):72–81CrossRef

Title: Data fitting independent of grid structure using a volumic version of MPU
Authors: Yuusuke Tsukamoto
Shuhei Kawashima
Seiji Inoue
Shin Ito
Shinji Kataoka
Kazuyuki Kojima
Kyoko Hasegawa
Susumu Nakata
Satoshi Tanaka
Publication date: 01-06-2011
Publisher: Springer-Verlag
Published in: Journal of Visualization / Issue 2/2011
Print ISSN: 1343-8875
Electronic ISSN: 1875-8975
DOI: https://doi.org/10.1007/s12650-011-0075-0

Springer Professional

Abstract

Graphical Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Other articles of this Issue 2/2011

Two-layer exchange flows over a dune: effect of large-scale bottom roughness

Influence of head shape of solid body plunging into water on splash formation

Fuel spray visualization and its impingement analysis on in-cylinder surfaces in a direct-injection spark-ignition engine

Four-dimensional geometric element definitions and interferences via five-dimensional homogeneous processing

A visualization study of the near-wall behaviors of an oblique plate at different angles of attack

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

Premium Partner