Profile
International Journal of Computer & Software Engineering Volume 3 (2018), Article ID 3:IJCSE-139, 12 pages
https://doi.org/10.15344/2456-4451/2018/139
Research Article
Determining the Similarity between Two Arbitrary 2-D Shapes and its Application to Biological Objects

Petra Perner

Institute of Computer Vision and applied Computer Sciences, IBaI, Leipzig, Germany
Prof. Dr. Petra Perner, Institute of Computer Vision and applied Computer Sciences, IBaI, Arno-Nitzsche-Str. 45, 04277 Leipzig, Germany; E-mail: pperner@ibai-institut.de
22 October 2018; 14 November 2018; 16 October 2018
Perner P (2018) Determining the Similarity between Two Arbitrary 2-D Shapes and its Application to Biological Objects. Int J Comput Softw Eng 3: 139. doi: https://doi.org/10.15344/2456-4451/2018/139
The project “Development of methods and techniques for the image-acquisition and computer-aided analysis of biologically dangerous substances BIOGEFA” is sponsored by the German Ministry of Economy BMWA under the grant number 16IN0147.

References

  1. Thompson D (1917) On Growth and Form. Cambridge University Press, Cambridge, UK.
  2. Kendall DG (1989) A Survey of the Statistical Theory of Shape. Statistical Science 4: 87-120. View
  3. Bookstein FL (1986) Size and Shape Spaces for Landmark Data in Two Dimensions. Statistical Science 1: 181-242. View
  4. Bookstein FL (1997) Landmark Methods for Forms without Landmarks: Morphometrics of Group Differences in Outline Shape. Med Image Anal 1: 225-244. View
  5. Alon J, Athitsos V, Sclaroff S (2005) Online and Offline Character Recognition Using Alignment to Prototypes. IEEE Computer Society Press. View
  6. Huttenlocher D, Klanderman G, Rucklidge W (1993) Comparing Images Using the Hausdorff Distance, IEEE Trans. Pattern Analysis and Machine Intelligence 15: 850-863. View
  7. Alt H, Guibas LJ (1996) Discrete Geometric Shapes: Matching, Interpolation and Approximation A Survvey. Elsevier Science Publishers. View
  8. Rangarajan A, Chui H, Bookstein FL (1997) The Softassign Procrustes Matching Algorithm, Proc. Information Processing in Medical Imaging. View
  9. Sclaroff S, Pentland A (1995) Modal Matching for Correspondence and Recognition. IEEE Trans Pattern Analysis and Machine Intelligence 17: 545- 561. View
  10. Fitzgibbon AW (2001) Robust Registration of 2D and 3D Point Sets. In Proc British Machine Vision Conference 2: 411-420. View
  11. Marte OC, Marais P (2002) Model-Based Segmentation of CT Images. In South African Computer Journal 28: 54-59. View
  12. Brett AD, Taylor CJ (1999) A Framework for Automated Landmark Generation for Automated 3D Statistical Model Construction. Proc Information Processing in Medical Imaging. View
  13. Feldmar J, Ayache N (1996) Rigid, Affine and Locally Affine Registration of Free-Form Surfaces. The International Journal of Computer Vision 18: 99- 119. View
  14. Hill A, Taylor CJ, Brett AD (2000) A Framework for Automatic Landmark Identification Using a New Method of Nonrigid Correspondence. IEEE Transactions on Pattern Analysis and Machine Intelligence 22: 241-251. View
  15. Veltkamp RC (2001) Shape Matching: Similarity Measures and Algorithms. Shape Modelling International. View
  16. Lele SR, Richtsmeier JT (2001) An Invariant Approach to Statistical Analysis of Shapes. Chapman & Hall / CRC.
  17. Dryden IL, Mardia KV (1998) Statistical Shape Analysis. John Wiley & Sons Inc. View
  18. Besl P, McKay N (1992) A Method for Registration of 3-D Shapes. IEEE Trans. Pattern Analysis and Machine Intelligence 14: 239-256. View
  19. Aksenov P, Clark I, Grant D, Inman A, Vartikovski L, et al. (2003) 3D Thermography for Quantification of Heat Generation Resulting From Inflammation. Proc 8th 3D Modelling symposium, Paris, France. View
  20. Belongie S, Malik J, Puzicha J (2002) Shape Matching and Object Recognition Using Shape Contexts. IEEE Transactions on Pattern Analysis and Machine Intelligence 24: 509-522. View
  21. Kass M, Witkin A, Terzopoulos D (1987) Snakes: Active contour models. In 1st International Conference on Computer Vision. View
  22. Cheng DC, Schmidt-Trucksäss A, Cheng KS, Burkhardt H (2002) Using Snakes to Detect the Intimal and Aventitial Layers of the Common Carotid Artery Wall in Sonographic Images. Computer Methods and Programs in Biomedicine 67: 27-37. View
  23. Cootes TF, Taylor CJ (1999) A Mixture Model for Representing Shape Variation. Image and Vision Computing 17: 567-574. View
  24. Mortensen EN, Barrett WA (1995) Intelligent Scissors for Image Composition. In Computer Graphics Proceedings. View
  25. Haenselmann T, Effelsberg W (2003) Wavelet-Based Semi-Automatic Live- Wire Segmentation. Proceedings of the SPIE Human Vision and Electronic Imaging 4662: 260-269. View
  26. Bresenham JE (1965) Algorithm for Computer Control of a Digital Plotter. IBM Systems Journal 4: 25-30. View
  27. Wall K, Daniellson PE (1984) A Fast Sequential Method For Polygonal Approximation of Digitized Curves. Comput Graph Image Process 28: 220- 227. View
  28. Perner P, Jänichen S (2004) Learning of Form Models from Exemplars. Lisbon/Portugal, Springer Verlag lncs 3138: 153-161.