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Generalized Structure Tensor is an extension of the Cartesian Structure Tensor to Curvilinear coordinates. It finds the direction along which an image can undergo a translation with minimal error, measured in L2 norm amounting to total least squares sense, where the translation is along the curvilinear coordinates (instead of Cartesian). Among the curvilinear coordinates, locally orthogonal coordinates, are best studied. [1]
The Generalized structure tensor can be used as an alternative to Hough Transform in image processing and computer vision. The main differences comprise:
- Complex voting
- Not only positive voting but also negative voting is allowed
- With one template multiple patterns belonging to the same family can be detected
See also
- Hough Transform
- Tensor
- Directional derivative
- Gaussian
- Corner detection
- Edge detection
- Lucas-Kanade method
- Affine shape adaptation
References
- ^ @inproceedings{bigun1988pattern, title="Pattern recognition by detection of local symmetries", author={Bigun, Josef}, booktitle={Proceedings of Pattern Recognition in Practice III}, year={1988} }
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This sandbox is in the article namespace. Either move this page into your userspace, or remove the {{User sandbox}} template.
Generalized Structure Tensor:
Generalized Structure Tensor is an extension of the Cartesian Structure Tensor to Curvilinear coordinates. It finds the direction along which an image can undergo a translation with minimal error, measured in L2 norm amounting to total least squares sense, where the translation is along the curvilinear coordinates (instead of Cartesian).
Among the curvilinear coordinates, locally orthogonal coordinates, are best studied.
[1]
The Generalized structure tensor can be used as an alternative to Hough Transform in image processing and computer vision. The main differences comprise:
- Complex voting
- Not only positive voting but also negative voting is allowed
- With one template multiple patterns belonging to the same family can be detected
See also
- Hough Transform
- Tensor
- Directional derivative
- Gaussian
- Corner detection
- Edge detection
- Lucas-Kanade method
- Affine shape adaptation
References
- ^ @inproceedings{bigun1988pattern, title="Pattern recognition by detection of local symmetries", author={Bigun, Josef}, booktitle={Proceedings of Pattern Recognition in Practice III}, year={1988} }