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Spectral Analysis of Higher-Order and BFECC Texture Advection

This web page contains additional material accompanying the Workshop on Vision, Modeling & Visualization (VMV) paper "Spectral Analysis of Higher-Order and BFECC Texture Advection" by Rudolf Netzel, Marco Ament, Michael Burch and Daniel Weiskopf.

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.

Publication Download

A PDF version can be found here.

Additional Examination

A collection of advected textures (Gaussian filtered noise image and checkerboard image) and their corresponding frequency images und radial power spectrum diagrams with two different vector fields (a circular one and in manner of Navier Stokes). The resolution is constant (256x256). [PDF, 7,595 kB]

A collection of advected textures (Gaussian filtered noise image and checkerboard image) and their corresponding frequency images und radial power spectrum diagrams with two different vector fields (a circular one and in manner of Navier Stokes). The resolution is varying (64x64, 128x128, 256x256, 512x512). [PDF, 5,172 kB]