Analysing Superimposed Oriented Patterns

Ingo Stuke, Til Aach, Erhardt Barth, Cicero Mota


Estimation of local orientation in images is often posed as the task of finding the minimum variance axis in a local neighborhood. The solution is given as the eigenvector belonging to the smaller eigenvalue of a 1 × 2 tensor. Ideally, the tensor is rank-deficient, i.e., the smaller eigenvalue is zero. A large minimal eigenvalue signals the presence of more than one local orientation. We describe a framework for estimating such superimposed orientations. Our analysis of superimposed orientations is based on the eigensystem analysis of a suitably extended tensor. We show how to efficiently carry out the eigensystem analysis using tensor invariants. Unlike in the single orientation case, the eigensystem analysis does not directly yield the orientations, rather, it provides so-called mixed orientation parameters. We therefore show how to decompose the mixed orientation parameters into the individual orientations. These, in turn, allow to separate the superimposed patterns.

Original languageEnglish
Title of host publication6th IEEE Southwest Symposium on Image Analysis and Interpretation, 2004.
Number of pages5
Publication date22.06.2004
ISBN (Print)0-7803-8387-7
Publication statusPublished - 22.06.2004
Event2004 IEEE Southwest Symposium on Image Analysis and Interpretation - Lake Tahoe, United States
Duration: 28.03.200430.03.2004
Conference number: 63099


Dive into the research topics of 'Analysing Superimposed Oriented Patterns'. Together they form a unique fingerprint.

Cite this