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pro vyhledávání: '"Duits R"'
The enhancement and detection of elongated structures in noisy image data is relevant for many biomedical imaging applications. To handle complex crossing structures in 2D images, 2D orientation scores $U: \mathbb{R} ^ 2\times S ^ 1 \rightarrow \math
Externí odkaz:
http://arxiv.org/abs/1707.02191
We study a data-driven sub-Riemannian (SR) curve optimization model for connecting local orientations in orientation lifts of images. Our model lives on the projective line bundle $\mathbb{R}^{2} \times P^{1}$, with $P^{1}=S^{1}/_{\sim}$ with identif
Externí odkaz:
http://arxiv.org/abs/1704.04192
In order to detect salient lines in spherical images, we consider the problem of minimizing the functional $\int \limits_0^l C(\gamma(s)) \sqrt{\xi^2 + k_g^2(s)} \, {\rm d}s$ for a curve $\gamma$ on a sphere with fixed boundary points and directions.
Externí odkaz:
http://arxiv.org/abs/1604.03800
Autor:
Portegies, J. M., Duits, R.
We consider hypo-elliptic diffusion and convection-diffusion on $\mathbb{R}^3 \rtimes S^2$, the quotient of the Lie group of rigid body motions SE(3) in which group elements are equivalent if they are equal up to a rotation around the reference axis.
Externí odkaz:
http://arxiv.org/abs/1604.03843
Autor:
Portegies, J. M., Fick, R. H. J., Sanguinetti, G. R., Meesters, S. P. L., Girard, G., Duits, R.
We propose two strategies to improve the quality of tractography results computed from diffusion weighted magnetic resonance imaging (DW-MRI) data. Both methods are based on the same PDE framework, defined in the coupled space of positions and orient
Externí odkaz:
http://arxiv.org/abs/1506.07062
We provide a new, analytic kernel for scale space filtering of dMRI data. The kernel is an approximation for the Green's function of a hypo-elliptic diffusion on the 3D rigid body motion group SE(3), for fiber enhancement in dMRI. The enhancements ar
Externí odkaz:
http://arxiv.org/abs/1506.02529
Locally adaptive differential frames (gauge frames) are a well-known effective tool in image analysis, used in differential invariants and PDE-flows. However, at complex structures such as crossings or junctions, these frames are not well-defined. Th
Externí odkaz:
http://arxiv.org/abs/1502.08002
Autor:
Sharma, U., Duits, R.
Enhancement of multiple-scale elongated structures in noisy image data is relevant for many biomedical applications but commonly used PDE-based enhancement techniques often fail at crossings in an image. To get an overview of how an image is composed
Externí odkaz:
http://arxiv.org/abs/1306.1800
Autor:
Portegies, J.M., Duits, R.
Publikováno v:
In Differential Geometry and its Applications August 2017 53:182-219
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