A multi-resolution interpolation scheme for pathline based Lagrangian flow representations

Alexy Agranovsky; Harald Obermaier; Christoph Garth; Kenneth I. Joy

doi:10.1117/12.2083253

8 February 2015 A multi-resolution interpolation scheme for pathline based Lagrangian flow representations

Alexy Agranovsky, Harald Obermaier, Christoph Garth, Kenneth I. Joy

Proceedings Volume 9397, Visualization and Data Analysis 2015; 93970K (2015) https://doi.org/10.1117/12.2083253
Event: SPIE/IS&T Electronic Imaging, 2015, San Francisco, California, United States

Abstract

Where the computation of particle trajectories in classic vector field representations includes computationally involved numerical integration, a Lagrangian representation in the form of a flow map opens up new alternative ways of trajectory extraction through interpolation. In our paper, we present a novel re-organization of the Lagrangian representation by sub-sampling a pre-computed set of trajectories into multiple levels of resolution, maintaining a bound over the amount of memory mapped by the file system. We exemplify the advantages of replacing integration with interpolation for particle trajectory calculation through a real-time, low memory cost, interactive exploration environment for the study of flow fields. Beginning with a base resolution, once an area of interest is located, additional trajectories from other levels of resolution are dynamically loaded, densely covering those regions of the flow field that are relevant for the extraction of the desired feature. We show that as more trajectories are loaded, the accuracy of the extracted features converges to the accuracy of the flow features extracted from numerical integration with the added benefit of real-time, non-iterative, multi-resolution path and time surface extraction.

Citation Download Citation

Alexy Agranovsky, Harald Obermaier, Christoph Garth, and Kenneth I. Joy "A multi-resolution interpolation scheme for pathline based Lagrangian flow representations", Proc. SPIE 9397, Visualization and Data Analysis 2015, 93970K (8 February 2015); https://doi.org/10.1117/12.2083253

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available