EPFL | Biomedical Imaging Group | Isotropic Wavelets

Fast Detection and Refined Scale Estimation Using Complex Isotropic Wavelets

Z. Püspöki, J.P. Ward, D. Sage, M. Unser

Proceedings of the Twelfth IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI'15), Brooklyn NY, USA, April 16-19, 2015, pp. 512-515.

The dyadic scaling in the discrete wavelet transform can lead to a loss of precision, in comparison to the computationally unrealistic continuous wavelet transform. To overcome this obstacle, we propose a novel method to locally scale wavelets between dyadic scales in an efficient way. We compute complex wavelet coefficients for a tight frame with a dyadic scale progression. Our isotropic complex wavelets are designed such that the deviation from the nominal scale is encoded in the phase of the coefficients. Moreover, the magnitude of the coefficients is used for feature detection. Numerical experiments are presented to justify our method, and we present results for feature extraction from real data.

@INPROCEEDINGS(http://bigwww.epfl.ch/publications/puespoeki1501.html,
AUTHOR="P{\"{u}}sp{\"{o}}ki, Z. and Ward, J.P. and Sage, D. and Unser,
	M.",
TITLE="Fast Detection and Refined Scale Estimation Using Complex
	Isotropic Wavelets",
BOOKTITLE="Proceedings of the Twelfth {IEEE} International Symposium on
	Biomedical Imaging: {F}rom Nano to Macro ({ISBI'15})",
YEAR="2015",
editor="",
volume="",
series="",
pages="512--515",
address="Brooklyn NY, USA",
month="April 16-19,",
organization="",
publisher="",
note="")

© 2015 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.