Rotation Covariant Image Processing for Biomedical Applications
Joint Authors
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-18
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
With the advent of novel biomedical 3D image acquisition techniques, the efficient and reliable analysis of volumetric images has become more and more important.
The amount of data is enormous and demands an automated processing.
The applications are manifold, ranging from image enhancement, image reconstruction, and image description to object/feature detection and high-level contextual feature extraction.
In most scenarios, it is expected that geometric transformations alter the output in a mathematically well-defined manner.
In this paper we emphasis on 3D translations and rotations.
Many algorithms rely on intensity or low-order tensorial-like descriptions to fulfill this demand.
This paper proposes a general mathematical framework based on mathematical concepts and theories transferred from mathematical physics and harmonic analysis into the domain of image analysis and pattern recognition.
Based on two basic operations, spherical tensor differentiation and spherical tensor multiplication, we show how to design a variety of 3D image processing methods in an efficient way.
The framework has already been applied to several biomedical applications ranging from feature and object detection tasks to image enhancement and image restoration techniques.
In this paper, the proposed methods are applied on a variety of different 3D data modalities stemming from medical and biological sciences.
American Psychological Association (APA)
Skibbe, Henrik& Reisert, Marco. 2013. Rotation Covariant Image Processing for Biomedical Applications. Computational and Mathematical Methods in Medicine،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-509170
Modern Language Association (MLA)
Skibbe, Henrik& Reisert, Marco. Rotation Covariant Image Processing for Biomedical Applications. Computational and Mathematical Methods in Medicine No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-509170
American Medical Association (AMA)
Skibbe, Henrik& Reisert, Marco. Rotation Covariant Image Processing for Biomedical Applications. Computational and Mathematical Methods in Medicine. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-509170
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509170