Geometric Invariant Curve and Surface Normalization

  • Sait Sener
  • Mustafa Unel
Conference paper

DOI: 10.1007/11867661_40

Part of the Lecture Notes in Computer Science book series (LNCS, volume 4142)
Cite this paper as:
Sener S., Unel M. (2006) Geometric Invariant Curve and Surface Normalization. In: Campilho A., Kamel M. (eds) Image Analysis and Recognition. ICIAR 2006. Lecture Notes in Computer Science, vol 4142. Springer, Berlin, Heidelberg

Abstract

In this work, a geometric invariant curve and surface normalization method is presented. Translation, scale and shear are normalized by Principal Component Analysis (PCA) whitening. Independent Component Analysis (ICA) and the third order moments are then employed for rotation and reflection normalization. By applying this normalization, curves and surfaces that are related by geometric transformations (affine or rigid) can be transformed into a canonical representation. Proposed technique is verified with several 2D and 3D object matching and recognition experiments.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Sait Sener
    • 1
  • Mustafa Unel
    • 2
  1. 1.Institute of InformaticsIstanbul Technical UniversityTurkey
  2. 2.Faculty of Engineering and Natural SciencesSabanci UniversityTurkey

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