Spectral Analysis of Higher-Order and BFECC Texture Advection

Netzel, Rudolf; Ament, Marco; Burch, Michael; Weiskopf, Daniel

Spectral Analysis of Higher-Order and BFECC Texture Advection

Files

087-094.pdf (1.95 MB)

Date

2012

Authors

Netzel, Rudolf
Ament, Marco
Burch, Michael
Weiskopf, Daniel

Publisher

The Eurographics Association

Abstract

We present a spectral analysis of higher-order texture advection in combination with Back and Forth Error Compensation and Correction (BFECC). Semi-Lagrangian texture advection techniques exhibit high numerical diffusion, which acts as a low-pass filter and tends to smooth out high frequencies. In the spatial domain, numerical diffusion leads to a loss of details and causes a blurred image. To reduce this effect, higher-order interpolation methods or BFECC can be employed separately. In this paper, we combine both approaches and analyze the quality of different compositions of higher-order interpolation schemes with and without BFECC. We employ radial power spectrum diagrams for different advection times and input textures to evaluate the conservation of the spectrum up to fifth-order polynomials. Our evaluation shows that third-order backward advection delivers a good compromise between quality and computational costs.

        @inproceedings{:10.2312/PE/VMV/VMV12/087-094
,
booktitle = {Vision, Modeling and Visualization
},
editor = {Michael Goesele and Thorsten Grosch and Holger Theisel and Klaus Toennies and Bernhard Preim
},
title = {{Spectral Analysis of Higher-Order and BFECC Texture Advection
}},
author = {Netzel, Rudolf and 
Ament, Marco and 
Burch, Michael and 
Weiskopf, Daniel
},
year = {2012
},
publisher = {The Eurographics Association
},
ISBN = {978-3-905673-95-1
},
DOI = {/10.2312/PE/VMV/VMV12/087-094
}
}