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Analysis of Superimposed Oriented Patterns

Aach, T. ; Mota, C. ; Stuke, I. ; Muhlich, M. ; Barth, E.

IEEE transactions on image processing, 2006-12, Vol.15 (12), p.3690-3700 [Periódico revisado por pares]

New York, NY: IEEE

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Título:
Analysis of Superimposed Oriented Patterns
Autor: Aach, T. ; Mota, C. ; Stuke, I. ; Muhlich, M. ; Barth, E.
Assuntos: Algorithms ; Applied sciences ; Bifurcation ; Corners ; Detection, estimation, filtering, equalization, prediction ; Eigenvalues ; Eigenvalues and eigenfunctions ; Exact sciences and technology ; Filtering ; Image analysis ; Image Enhancement - methods ; Image Interpretation, Computer-Assisted - methods ; Image processing ; Image texture analysis ; Information Storage and Retrieval - methods ; Information, signal and communications theory ; Interpolation ; Invariants ; Mathematical analysis ; Miscellaneous ; Optical filters ; Optical imaging ; Orientation ; Pattern analysis ; Pattern Recognition, Automated - methods ; Reproducibility of Results ; Sensitivity and Specificity ; Signal and communications theory ; Signal processing ; Signal, noise ; Subtraction Technique ; Telecommunications and information theory ; Tensile stress ; Tensors ; Texture
É parte de: IEEE transactions on image processing, 2006-12, Vol.15 (12), p.3690-3700
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Descrição: Estimation of local orientation in images may be posed as the problem of finding the minimum gray-level variance axis in a local neighborhood. In bivariate images, the solution is given by the eigenvector corresponding to the smaller eigenvalue of a 2times2 tensor. For an ideal single orientation, the tensor is rank-deficient, i.e., the smaller eigenvalue vanishes. A large minimal eigenvalue signals the presence of more than one local orientation, what may be caused by non-opaque additive or opaque occluding objects, crossings, bifurcations, or corners. We describe a framework for estimating such superimposed orientations. Our analysis is based on the eigensystem analysis of suitably extended tensors for both additive and occluding superpositions. Unlike in the single-orientation case, the eigensystem analysis does not directly yield the orientations, rather, it provides so-called mixed-orientation parameters (MOPs). We, therefore, show how to decompose the MOPs into the individual orientations. We also show how to use tensor invariants to increase efficiency, and derive a new feature for describing local neighborhoods which is invariant to rigid transformations. Applications are, e.g., in texture analysis, directional filtering and interpolation, feature extraction for corners and crossings, tracking, and signal separation
Editor: New York, NY: IEEE
Idioma: Inglês

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Analysis of Superimposed Oriented Patterns

Aach, T. ; Mota, C. ; Stuke, I. ; Muhlich, M. ; Barth, E.

New York, NY: IEEE

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