Crystal vision-applications of point groups in computer vision

Authors:
Reiner Lenz
Affiliations:
Department of Science and Technology, Linköping University, Norrköping, Sweden
Venue:
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
Year:
2007

Citing 5
Cited 1

Acquiring the reflectance field of a human face

Proceedings of the 27th annual conference on Computer graphics and interactive techniques
A Theory of Multiplexed Illumination

ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
A Fast and Stable Solution Method for the Radiative Transfer Problem

SIAM Review
Analysis of human faces using a measurement-based skin reflectance model

ACM SIGGRAPH 2006 Papers
Multiplexing for Optimal Lighting

IEEE Transactions on Pattern Analysis and Machine Intelligence

Octahedral transforms for 3-D image processing

IEEE Transactions on Image Processing

Quantified Score

Hi-index	0.00

Visualization

Abstract

Methods from the representation theory of finite groups are used to construct efficient processing methods for the special geometries related to the finite subgroups of the rotation group. We motivate the use of these subgroups in computer vision, summarize the necessary facts from the representation theory and develop the basics of Fourier theory for these geometries. We illustrate its usage for data compression in applications where the processes are (on average) symmetrical with respect to these groups. We use the icosahedral group as an example since it is the largest finite subgroup of the 3D rotation group. Other subgroups with fewer group elements can be studied in exactly the same way.