Implications of invariance and uncertainty for local structure analysis filter sets

  title={Implications of invariance and uncertainty for local structure analysis filter sets},
  author={Hans Knutsson and Mats T. Andersson},
  journal={Sig. Proc.: Image Comm.},
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
Highly Cited
This paper has 20 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.


Publications citing this paper.
Showing 1-10 of 11 extracted citations

Fast phase recovery from a single closed-fringe pattern.

Journal of the Optical Society of America. A, Optics, image science, and vision • 2008

Efficient 3-D adaptive filtering for medical image enhancement

3rd IEEE International Symposium on Biomedical Imaging: Nano to Macro, 2006. • 2006
View 2 Excerpts


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


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

Similar Papers

Loading similar papers…