The smooth quaternion lifting scheme transform for multi-resolution motion analysis

Authors:
Agnieszka Szczęsna;Janusz Słupik;Mateusz Janiak
Affiliations:
Institute of Informatics, The Silesian University of Technology, Gliwice, Poland;Institute of Mathematics, The Silesian University of Technology, Gliwice, Poland;Institute of Informatics, The Silesian University of Technology, Gliwice, Poland
Venue:
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
Year:
2012

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Abstract

The representation and the thorough understanding of human motion is a crucial and challenging problem which has been raised in many scientific areas. This paper considers approaches in performing motion analysis with multi-resolution techniques based on rotations of joints over the time written in the form of a quaternion signal. The second generation wavelet transform constructed by the lifting scheme for the quaternion rotation representation can be used. Quaternions in terms of motion analysis are a more efficient representation of rotation than Euler angles. This paper presents the new quaternion lifting scheme building blocks for the smooth second degree transform based on the spherical cubic quaternion interpolation method (SQUAD). Also the possible applications of result multi-resolution representation as feature detection and compression are described.