Skip to main content

The Smooth Quaternion Lifting Scheme Transform for Multi-resolution Motion Analysis

  • Conference paper
Computer Vision and Graphics (ICCVG 2012)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7594))

Included in the following conference series:

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Stollnitz, E.J., De Rose, T., Salesin, D.H.: Wavelets for Computer Graphics: Theory and Applications. Morgan Kaufmann (1996)

    Google Scholar 

  2. Jansen, M., Oonincx, P.: Second Generation Wavelets and Applications. Springer (2005)

    Google Scholar 

  3. Lee, J., Shin, S.Y.: A coordinate-invariant approach to multiresolution motion analysis. Graphical Models and Image Processing 63(2), 87–105 (2001)

    MATH  Google Scholar 

  4. Lee, J., Shin, S.Y.: General construction of timedomain filters for orientation data. IEEE Transactions on Visualization and Computer Graphics 8(2), 119–128 (2002)

    Article  Google Scholar 

  5. Bruderlin, A., Williams, L.: Motion signal processing. In: Proceeding SIGGRAPH of the 22nd Annual Conference on Computer Graphics and Interactive Techniques (1995)

    Google Scholar 

  6. Hsieh, C.-C.: B-spline wavelet-based motion smoothing. Computers and Industrial Engineering (2001)

    Google Scholar 

  7. Hsieh, C.-C.: Motion Smoothing Using Wavelets. Journal of Intelligent and Robotic Systems 35, 57–169 (2002)

    Article  Google Scholar 

  8. Lee, J., Shin, S.Y.: Motion fairing. Proceedings of Computer Animation 96, 136–143 (1996)

    Google Scholar 

  9. Fang, Y., Hsieh, C.C., Kim, M.J., Chang, J.J., Woo, T.C.: Real time motion fairing with unit quaternions. Computer-Aided Design 30(3), 191–198 (1998)

    Article  MATH  Google Scholar 

  10. Beth, T., Boesnach, I., Haimerl, M., Moldenhauer, J., Bos, K., Wank, V.: Characteristics in Human Motion - From Acquisition to Analysis. In: IEEE International Conference on Humanoid Robots (2003)

    Google Scholar 

  11. Ahmed, A., Hilton, A., Mokhtarian, F.: Adaptive Compression of Human Animation Data. In: Proceedings of the Annual Conference of the European Association for Computer Graphics, Eurographics (2002)

    Google Scholar 

  12. Li, S., Okuda, M., Takahashi, S.: Compression of Human Motion Animation Using the Reduction of Interjoint Correlation. Journal on Image and Video Processing - Anthropocentric Video Analysis: Tools and Applications, 2:1–2:15 (2008)

    Google Scholar 

  13. Beaudoin, P., Poulin, P., Panne, M.: Adapting wavelet compression to human motion capture clips. In: GI 2007 Proceedings of Graphics Interface (2007)

    Google Scholar 

  14. Lin, Y., McCool, M.D.: Nonuniform Segment-Based Compression of Motion Capture Data. In: Bebis, G., Boyle, R., Parvin, B., Koracin, D., Paragios, N., Tanveer, S.-M., Ju, T., Liu, Z., Coquillart, S., Cruz-Neira, C., Müller, T., Malzbender, T. (eds.) ISVC 2007, Part I. LNCS, vol. 4841, pp. 56–65. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  15. Arikan, O.: Compression of Motion Capture Databases. ACM Transactions on Graphics - Proceedings of ACM SIGGRAPH, 25(3) (2006)

    Google Scholar 

  16. Sweldens, W.: The lifting scheme: A construction of second generation wavelets. SIAM J. Math. Anal. (1997)

    Google Scholar 

  17. Sweldens W.: The Lifting Scheme: A new philosophy in biorthogonal wavelet constructions. In: Wavelet Applications in Signal and Image Processing III (1995)

    Google Scholar 

  18. Daubechies, I., Guskov, I., Schröder, P., Sweldens, W.: Wavelets on Irregular Point Sets. Royal Society (1999)

    Google Scholar 

  19. Guskov, I., Sweldens, W., Schröder, P.: Multiresolution Signal Processing for Meshes. In: Computer Graphics Proceedings (1999)

    Google Scholar 

  20. Szczęsna, A.: The Multiresolution Analysis of Triangle Surface Meshes with Lifting Scheme. In: Gagalowicz, A., Philips, W. (eds.) MIRAGE 2007. LNCS, vol. 4418, pp. 274–282. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  21. Szczesna, A., Slupik, J., Janiak M.: Quaternion Lifting Scheme for Multi-resolution Wavelet-based Motion Analysis. In: The Seventh International Conference on Systems ThinkMind, ICONS 2012 (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Szczęsna, A., Słupik, J., Janiak, M. (2012). The Smooth Quaternion Lifting Scheme Transform for Multi-resolution Motion Analysis. In: Bolc, L., Tadeusiewicz, R., Chmielewski, L.J., Wojciechowski, K. (eds) Computer Vision and Graphics. ICCVG 2012. Lecture Notes in Computer Science, vol 7594. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33564-8_79

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-33564-8_79

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33563-1

  • Online ISBN: 978-3-642-33564-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics