Implications of invariance and uncertainty for local structure analysis filter sets

@article{Knutsson2005ImplicationsOI,
  title={Implications of invariance and uncertainty for local structure analysis filter sets},
  author={Hans Knutsson and Mats T. Andersson},
  journal={Sig. Proc.: Image Comm.},
  year={2005},
  volume={20},
  pages={569-581}
}
The paper discusses which properties of filter sets used in local structure estimation that are the most important. 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. Loglets are polar separable and have excellent uncertainty properties. The directional part uses a spherical harmonics basis. Using loglets it is shown how… CONTINUE READING
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View 2 Excerpts

References

Publications referenced by this paper.
Showing 1-10 of 34 references

Optimal orientation detection of linear symmetry

J. Bigün, G. H. Granlund
in: Proceedings of the IEEE First International Conference on Computer Vision, London, Great Britain • 1987
View 4 Excerpts
Highly Influenced

Advanced filter design

Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136) • 1997
View 1 Excerpt

Speed

J. Bigun
frequency, and orientation tuned 3-D gabor filter banks and their design, in: Proceedings of International Conference on Pattern Recognition, ICPR, Jerusalem, IEEE Computer Society, Silver Spring, MD • 1994

Stability of Phase Information

IEEE Trans. Pattern Anal. Mach. Intell. • 1993
View 1 Excerpt

On lognormal random variables: I—the characteristic function

R. B. Leipnik
J. Austral. Math. Soc. Ser. B 32 • 1991
View 1 Excerpt

The wavelet transform

I. Daubechies
time-frequency localization and signal analysis, IEEE Trans. Inform. Theory 36 (5) • 1990

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