Complex Plane Transformations for Manipulation and Visualization of Panoramas

Leonardo Sacht, Luiz Velho

2013

Abstract

We present a method for manipulation and visualization of wide-angle images using transformations defined on the complex plane C. We map the unit sphere S2 to C using the stereographic projection, multiply the complex plane by a given complex number, and map the result back to the sphere using the inverse of the stereographic projection. Since all these transformations preserve angle, we obtain a result containing only distortions due to the latitude/longitude representation of the sphere, which were already present in the input image. We then explore the possibility given by our technique of mapping wide fields of view to narrower ones. This makes possible to apply perspective projection to wider fields of view, leading to a natural generalization of the perspective projection in the context of panoramic images. Our results are generated in real-time and compare competitively with state-of-the-art methods used to project the viewing sphere to the image plane.

Paper Citation

in Harvard Style

Sacht L. and Velho L. (2013). Complex Plane Transformations for Manipulation and Visualization of Panoramas . In Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2013) ISBN 978-989-8565-46-4, pages 179-184. DOI: 10.5220/0004197701790184

in Bibtex Style

@conference{grapp13,
author={Leonardo Sacht and Luiz Velho},
title={Complex Plane Transformations for Manipulation and Visualization of Panoramas},
booktitle={Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2013)},
year={2013},
pages={179-184},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004197701790184},
isbn={978-989-8565-46-4},
}

in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Computer Graphics Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2013)
TI - Complex Plane Transformations for Manipulation and Visualization of Panoramas
SN - 978-989-8565-46-4
AU - Sacht L.
AU - Velho L.
PY - 2013
SP - 179
EP - 184
DO - 10.5220/0004197701790184