Skip to main content

Multi Scale Shape Index for 3D Object Recognition

  • Conference paper
Scale Space and Variational Methods in Computer Vision (SSVM 2013)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7893))

Abstract

We present Multi Scale Shape Index (MSSI), a novel feature for 3D object recognition. Inspired by the scale space filtering theory and Shape Index measure proposed by Koenderink & Van Doorn [6], this feature associates different forms of shape, such as umbilics, saddle regions, parabolic regions to a real valued index. This association is useful for representing an object based on its constituent shape forms. We derive closed form scale space equations which computes a characteristic scale at each 3D point in a point cloud without an explicit mesh structure. This characteristic scale is then used to estimate the Shape Index. We quantitatively evaluate the robustness and repeatability of the MSSI feature for varying object scales and changing point cloud density. We also quantify the performance of MSSI for object category recognition on a publicly available dataset.

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. Agarwal, S., Awan, A., Roth, D.: Learning to detect objects in images via a sparse, part-based representation. TPAMI 26(11), 1475–1490 (2004)

    Article  Google Scholar 

  2. Bay, H., Tuytelaars, T., Van Gool, L.: Surf: Speeded up robust features. In: Leonardis, A., Bischof, H., Pinz, A. (eds.) ECCV 2006, Part I. LNCS, vol. 3951, pp. 404–417. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  3. Fabio, R.: From point cloud to surface: the modeling and visualization problem. In: International Workshop on Visualization and Animation of Reality-based 3D Models, vol. 34, p. 5 (2003)

    Google Scholar 

  4. Felzenszwalb, P., McAllester, D., Ramanan, D.: A discriminatively trained, multiscale, deformable part model. In: CVPR (2008)

    Google Scholar 

  5. Knopp, J., Prasad, M., Willems, G., Timofte, R., Van Gool, L.: Hough transform and 3d surf for robust three dimensional classification. In: Daniilidis, K., Maragos, P., Paragios, N. (eds.) ECCV 2010, Part VI. LNCS, vol. 6316, pp. 589–602. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  6. Koenderink, J.J., van Doorn, A.J.: Surface shape and curvature scales. Image and Vision Computing 10(8), 557–564 (1992)

    Article  Google Scholar 

  7. Lai, K., Bo, L., Ren, X., Fox, D.: A large-scale hierarchical multi-view rgb-d object dataset. In: ICRA (2011)

    Google Scholar 

  8. Lazebnik, S., Schmid, C., Ponce, J.: Beyond bags of features: Spatial pyramid matching for recognizing natural scene categories. In: CVPR (2006)

    Google Scholar 

  9. Leibe, B., Leonardis, A., Schiele, B.: Combined object categorization and segmentation with an implicit shape model. In: ECCV (2004)

    Google Scholar 

  10. Lindeberg, T.: Feature detection with automatic scale selection. IJCV 30(2), 79–116 (1998)

    Article  Google Scholar 

  11. Newcombe, R.A., Izadi, S., Hilliges, O., Molyneaux, D., Kim, D., Davison, A.J., Kohli, P., Shotton, J., Hodges, S., Fitzgibbon, A.: Kinectfusion: Real-time dense surface mapping and tracking. In: ISMAR (2011)

    Google Scholar 

  12. Petrelli, A., Di Stefano, L.: On the repeatability of the local reference frame for partial shape matching. In: CVPR (2011)

    Google Scholar 

  13. Pham, M.T., Woodford, O.J., Perbet, F., Maki, A., Stenger, B., Cipolla, R.: A new distance for scale-invariant 3d shape recognition and registration. In: ICCV (2011)

    Google Scholar 

  14. Achanta, R., Shaji, A., Smith, K., Lucchi, A., Fua, P., Süsstrunk, S.: Slic superpixels. Technical Report 149300 EPFL (June 2010)

    Google Scholar 

  15. Rusu, R.B., Cousins, S.: 3d is here: Point cloud library (pcl). In: ICRA (2011)

    Google Scholar 

  16. Savarese, S., Fei-Fei, L.: 3d generic object categorization, localization and pose estimation. In: ICCV (2007)

    Google Scholar 

  17. Sebastian, T.B., Klein, P.N., Kimia, B.B.: Recognition of shapes by editing their shock graphs. TPAMI 26(5), 550–571 (2004)

    Article  Google Scholar 

  18. Sun, J., Ovsjanikov, M., Guibas, L.: A concise and provably informative multi-scale signature based on heat diffusion. In: Computer Graphics Forum (2009)

    Google Scholar 

  19. Tombari, F., Salti, S., Di Stefano, L.: Unique signatures of histograms for local surface description. In: Daniilidis, K., Maragos, P., Paragios, N. (eds.) ECCV 2010, Part III. LNCS, vol. 6313, pp. 356–369. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  20. Unnikrishnan, R., Hebert, M.: Multi-scale interest regions from unorganized point clouds. In: CVPR Workshop on Search in 3D, S3D (2008)

    Google Scholar 

  21. Witkin, A.P.: Scale-space filtering. Readings in Computer Vision: Issues, Problems, Principles, and Paradigms, 329–332 (1987)

    Google Scholar 

  22. Yu, T.H., Woodford, O.J., Cipolla, R.: An evaluation of volumetric interest points. In: 3DIMPVT (2011)

    Google Scholar 

  23. Zaharescu, A., Boyer, E., Varanasi, K., Horaud, R.: Surface feature detection and description with applications to mesh matching. In: CVPR (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bonde, U., Badrinarayanan, V., Cipolla, R. (2013). Multi Scale Shape Index for 3D Object Recognition. In: Kuijper, A., Bredies, K., Pock, T., Bischof, H. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2013. Lecture Notes in Computer Science, vol 7893. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38267-3_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-38267-3_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38266-6

  • Online ISBN: 978-3-642-38267-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics