Loglets: Generalized Quadrature and Phase for Local Spatio-Temporal Structure Estimation

  • Hans Knutsson
  • Mats Andersson
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2749)


The question of which properties of a local structure estimator are important is discussed. Answers are provided via the introduction of a number of fundamental invariances. Mathematical formulations corresponding to the required invariances leads up to the introduction of a new class of filter sets termed loglets. Using loglets it is shown how the concepts of quadrature and phase can be defined in n-dimensions. A number of experiments support the claim that loglets are preferable to other designs. In particular it is demonstrated that the loglet approach outperforms a Gaussian derivative approach in resolution and robustness to variations in object illumination. It is also shown how a measure of the certainty of the estimate can be obtained using the consistency of the generalized phase with respect to orientation.


Fourier Domain Orientation Error Directional Part Uncertainty Product Generalize Quadrature 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Hans Knutsson
    • 1
  • Mats Andersson
    • 1
  1. 1.Dept. of Biomedical EngineeringLinköping UniversityLinköpingSweden

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