visualization-of-sh-domain-operations
Visualization of Linear Operations in the Spherical Harmonics Domain
https://github.com/iksrwth/visualization-of-sh-domain-operations
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Visualization of Linear Operations in the Spherical Harmonics Domain
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README.md
Visualization of Linear Operations in the Spherical Harmonics Domain
This repository contains the companion MATLAB code for the 2021 publication "Visualization of Linear Operations in the Spherical Harmonics Domain" by Maximilian Kentgens and Peter Jax. Find the paper on IEEE Xplore. A pre-print is available on arXiv.
The proposed method allows to visualize arbitrary linear operations in the spherical harmonics domain. Such operations comprise rotations, spatially selective filters, and many other modifications for various applications, or describe a MIMO system's response to an excitation.
For instance, the following MATLAB code:
matlab
load('examples/example_adaptive_space_warping.mat','T');
visualizeTransformation(T);
creates the following plot:
Note that we use real-valued N3D-normalized spherical harmonics.
Cite this project as follows:
M. Kentgens and P. Jax, "Visualization of Linear Operations in the Spherical Harmonics Domain," in Proceedings of International Conference on Immersive and 3D Audio (I3DA), Sept. 2021, doi: 10.1109/I3DA48870.2021.9610968.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Owner
- Name: IKS, RWTH Aachen University
- Login: iksrwth
- Kind: user
- Website: https://www.iks.rwth-aachen.de
- Repositories: 1
- Profile: https://github.com/iksrwth
Citation (CITATION.cff)
cff-version: 1.2.0
message: "If you use this software, please cite it using these metadata."
title: "Visualization of Linear Operations in the Spherical Harmonics Domain"
authors:
- affiliation: "RWTH Aachen University, Institute of Communication Systems (IKS), Germany"
family-names: Kentgens
given-names: Maximilian
- affiliation: "RWTH Aachen University, Institute of Communication Systems (IKS), Germany"
family-names: Jax
given-names: Peter
preferred-citation:
type: conference-paper
title: "Visualization of Linear Operations in the Spherical Harmonics Domain"
authors:
- affiliation: "RWTH Aachen University, Institute of Communication Systems (IKS), Germany"
family-names: Kentgens
given-names: Maximilian
- affiliation: "RWTH Aachen University, Institute of Communication Systems (IKS), Germany"
family-names: Jax
given-names: Peter
year: 2021
conference:
name: "International Conference on Immersive and 3D Audio (I3DA)"
date-start: 2021-09-08
date-end: 2021-08-10
location: Bologna, Italy (virtual)
doi: 10.1109/I3DA48870.2021.9610968
abstract: "Linear operations on coefficients in the spherical harmonics (SH) transform domain that again yield SH-domain coefficients are an important toolset in many disciplines of research and engineering. They comprise rotations, spatially selective filters, and many other modifications for various applications, or describe the response of a MIMO system to an excitation. It is of particular importance to characterize these operations both qualitatively and quantitatively, and make them accessible for people to work with. In this paper, we identify different key properties of such operations and propose a method for their visualization. With our proposed method, we succeed to show many important aspects of an operation in a single plot and give rise to a comprehensive interpretation of the behavior of a system. In our evaluation, we show the potential of the proposed method on the basis of various practical examples from spatial audio signal processing, where SH-domain filtering is used to modify acoustic scenes given by higher-order Ambisonics signals."
notes: "Pre-print available arXiv:2104.13069"
keywords:
- "spherical harmonics"
- "linear operations"
- "spatial filter visualization"
- "mimo system visualization"
- "higher-order ambisonics"
url: "https://www.iks.rwth-aachen.de/qr/visualization-of-sh-domain-operations"
license: CC BY 4.0