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2020

Lesion Segmentation in Ultrasound Using Semi-pixel-wise Cycle Generative Adversarial Nets

Xing, J., Li, Z., Wang, B., Qi, Y., Yu, B., Ghazvinian Zanjani, F., Zheng, A., Duits, R. & Tan, T., 5 Mar 2020, In : IEEE/ACM Transactions on Computational Biology and Bioinformatics.

Research output: Contribution to journalArticleAcademicpeer-review

2019

Fourier transform on the homogeneous space of 3D positions and orientations for exact solutions to linear PDEs

Duits, R., Bekkers, E. J. & Mashtakov, A., 8 Jan 2019, In : Entropy. 21, 1, 38 p., 38.

Research output: Contribution to journalArticleAcademicpeer-review

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1 Citation (Scopus)
39 Downloads (Pure)
2018

Design and processing of invertible orientation scores of 3D images

Janssen, M. H. J., Janssen, A. J. E. M., Bekkers, E. J., Bescós, J. O. & Duits, R., 1 Nov 2018, In : Journal of Mathematical Imaging and Vision. 60, 9, p. 1427–1458 32 p.

Research output: Contribution to journalArticleAcademicpeer-review

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8 Citations (Scopus)
58 Downloads (Pure)

Optimal paths for variants of the 2D and 3D Reeds-Shepp car with applications in image analysis

Duits, R., Meesters, S. P. L., Mirebeau, J. M. & Portegies, J. M., 1 Jul 2018, In : Journal of Mathematical Imaging and Vision. 60, 6, p. 816-848 33 p.

Research output: Contribution to journalArticleAcademicpeer-review

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8 Citations (Scopus)
229 Downloads (Pure)

Roto-translation covariant convolutional networks for medical image analysis

Bekkers, E. J., Lafarge, M. W., Veta, M., Eppenhof, K. A. J., Pluim, J. P. W. & Duits, R., 10 Apr 2018, In : arXiv.

Research output: Contribution to journalArticleAcademic

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102 Downloads (Pure)

Template matching via densities on the roto-translation group

Bekkers, E., Loog, M., Romeny, B. T. H. & Duits, R., 1 Feb 2018, In : IEEE Transactions on Pattern Analysis and Machine Intelligence. 40, 2, p. 452-466 15 p., 7864477.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
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5 Citations (Scopus)
81 Downloads (Pure)
2017

New exact and numerical solutions of the (convection–)diffusion kernels on SE(3)

Portegies, J. M. & Duits, R., 1 Aug 2017, In : Differential Geometry and its Applications. 53, p. 182-219 38 p.

Research output: Contribution to journalArticleAcademicpeer-review

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4 Citations (Scopus)
58 Downloads (Pure)

Retrieving challenging vessel connections in retinal images by line co-occurrence statistics

Abbasi-Sureshjani, S., Zhang, J., Duits, R. & ter Haar Romenij, B. M., 1 Aug 2017, In : Biological Cybernetics. 111, 3-4, p. 237–247 11 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
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4 Citations (Scopus)
75 Downloads (Pure)

Stability metrics for optic radiation tractography: towards damage prediction after resective surgery

Meesters, S. P. L., Ossenblok, P. P. W., Wagner, L., Schijns, O., Boon, P., Florack, L. M. J., Vilanova, A. & Duits, R., 15 Aug 2017, In : Journal of Neuroscience Methods. 288, p. 34-44 11 p.

Research output: Contribution to journalArticleAcademicpeer-review

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4 Citations (Scopus)
83 Downloads (Pure)

Stability metrics for optic radiation tractography: towards damage prediction after resective surgery

Meesters, S., Ossenblok, P. P. W., Wagner, L., Schijns, O., Boon, P., Florack, L. M. J., Vilanova, A. & Duits, R., 15 Aug 2017, In : Journal of Neuroscience Methods. 288, p. 34-44 11 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
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4 Citations (Scopus)
10 Downloads (Pure)

Sub-Riemannian geodesics in SO(3) with application to vessel tracking in spherical images of retina

Mashtakov, A. P., Duits, R., Sachkov, Y. L., Bekkers, E. J. & Beschastnyi, I. Y., Mar 2017, In : Doklady Mathematics. 95, 2, p. 168-171 4 p.

Research output: Contribution to journalArticleAcademicpeer-review

Tracking of lines in spherical images via sub-Riemannian geodesics in SO(3)

Mashtakov, A., Duits, R., Sachkov, Y., Bekkers, E. J. & Beschastnyi, I., Jun 2017, In : Journal of Mathematical Imaging and Vision. 58, 2, p. 239–264 26 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
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8 Citations (Scopus)
48 Downloads (Pure)
2016

A cortical based model for contour completion on the retinal sphere

Mashtakov, A. & Duits, R., 2016, In : Program Systems: Theory and Applications. 7, 4, p. 231-247 16 p.

Research output: Contribution to journalArticleProfessional

Brain-inspired algorithms for retinal image analysis

ter Haar Romeny, B. M., Bekkers, E. J., Zhang, J., Abbasi-Sureshjani, S., Huang, F., Duits, R., Dasht Bozorg, B., Berendschot, T. T. J. M., Smit-Ockeloen, I., Eppenhof, K. A. J., Feng, J., Hannink, J., Schouten, J., Tong, M., Wu, H., van Triest, J. W., Zhu, S., Chen, D., He, W., Xu, L. & 2 others, Han, P. & Kang, Y., Nov 2016, In : Machine Vision and Applications. 27, 8, p. 1117–1135 19 p.

Research output: Contribution to journalArticleAcademicpeer-review

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14 Citations (Scopus)
442 Downloads (Pure)

Locally adaptive frames in the roto-translation group and their applications in medical imaging

Duits, R., Janssen, M. H. J., Hannink, J. & Sanguinetti, G. R., 2016, In : Journal of Mathematical Imaging and Vision. 56, 3, p. 367-402 36 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
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9 Citations (Scopus)
172 Downloads (Pure)

New exact and numerical solutions of the (convection-)diffusion kernels on SE(3)

Portegies, J. M. & Duits, R., 2016, In : arXiv. 1604.03843 , p. 1-39 1604.03843v5.

Research output: Contribution to journalArticleAcademic

Open Access
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66 Downloads (Pure)
14 Citations (Scopus)
1 Downloads (Pure)

On Sub-Riemannian Geodesics in SE(3) whose spatial projections do not have cusps

Duits, R., Ghosh, A., Dela Haije, T. C. J. & Mashtakov, A., Oct 2016, In : Journal of Dynamical and Control Systems. 22, 4, p. 771-805 35 p.

Research output: Contribution to journalArticleAcademicpeer-review

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7 Citations (Scopus)
89 Downloads (Pure)

Robust retinal vessel segmentation via locally adaptive derivative frames in orientation scores

Zhang, J., Dashtbozorg, B., Bekkers, E., Pluim, J. P. W., Duits, R. & ter Haar Romeny, B. M., Nov 2016, In : IEEE Transactions on Medical Imaging. 35, 12, p. 2631-2644 14 p.

Research output: Contribution to journalArticleAcademicpeer-review

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96 Citations (Scopus)
321 Downloads (Pure)
2015

A PDE approach to data-driven sub-Riemannian geodesics in SE(2)

Bekkers, E. J., Duits, R., Mashtakov, A. & Sanguinetti, G. R., 1 Dec 2015, In : SIAM Journal on Imaging Sciences. 8, 4, p. 2740-2770 31 p.

Research output: Contribution to journalArticleAcademicpeer-review

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25 Citations (Scopus)
263 Downloads (Pure)

Improving fiber alignment in HARDI by combining contextual PDE flow with constrained spherical deconvolution

Portegies, J. M., Fick, R. H. J., Sanguinetti, G. R., Meesters, S. P. L., Girard, G. & Duits, R., 14 Oct 2015, In : PLoS ONE. 10, 10, 33 p., e0138122.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
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13 Citations (Scopus)
27 Downloads (Pure)

Left-invariant evolutions of wavelet transforms on the similitude group

Sharma, U. & Duits, R., 2015, In : Applied and Computational Harmonic Analysis. 39, 1, p. 110-137 28 p.

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)
1 Downloads (Pure)
2014

A multi-orientation analysis approach to retinal vessel tracking

Bekkers, E. J., Duits, R., Berendschot, T. T. J. M. & Haar Romeny, ter, B. M., 2014, In : Journal of Mathematical Imaging and Vision. 49, 3, p. 583-610

Research output: Contribution to journalArticleAcademicpeer-review

62 Citations (Scopus)
5 Downloads (Pure)

Association fields via cuspless sub-Riemannian geodesics in SE(2)

Duits, R., Boscain, U., Rossi, F. & Sachkov, Y., 2014, In : Journal of Mathematical Imaging and Vision. 49, 2, p. 384-417

Research output: Contribution to journalArticleAcademicpeer-review

23 Citations (Scopus)

Curve cuspless reconstruction via sub-Riemannian geometry

Boscain, U., Duits, R., Rossi, F. & Sachkov, Y., 2014, In : ESAIM : Control, Optimisation and Calculus of Variations. 20, 3, p. 748-770

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
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15 Citations (Scopus)
108 Downloads (Pure)

Evaluating contextual processing in diffusion MRI : application to optic radiation reconstruction for epilepsy surgery

Tax, C. M. W., Duits, R., Vilanova, A., Haar Romenij, ter, B. M., Hofman, P. A. M., Wagner, L., Leemans, A. & Ossenblok, P. P. W., 2014, In : PLoS ONE. 9, 7, p. 101524/1-19

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
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15 Citations (Scopus)
245 Downloads (Pure)
2013

A variational approach to cardiac motion estimation based on covariant derivatives and multi-scale Helmholtz decomposition

Duits, R., Janssen, B. J., Becciu, A. & van Assen, H. C., 2013, In : Quarterly of Applied Mathematics. 71, 1, p. 1-36 36 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
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3 Citations (Scopus)
122 Downloads (Pure)

Erratum to: Morphological and linear scale spaces for fiber enhancement in DW-MRI

Duits, R., Dela Haije, T. C. J., Creusen, E. J. & Ghosh, A., 2013, In : Journal of Mathematical Imaging and Vision. 46, 3, p. 369-369

Research output: Contribution to journalArticleAcademicpeer-review

Evolution equations on Gabor transforms and their applications

Duits, R., Führ, H., Janssen, B. J., Bruurmijn, L. C. M., Florack, L. M. J. & Assen, van, H. C., 2013, In : Applied and Computational Harmonic Analysis. 35, 3, p. 483-526 44 p.

Research output: Contribution to journalArticleAcademicpeer-review

15 Citations (Scopus)
3 Downloads (Pure)

Morphological and linear scale spaces for fiber enhancement in DW-MRI

Duits, R., Dela Haije, T. C. J., Creusen, E. J. & Ghosh, A., 2013, In : Journal of Mathematical Imaging and Vision. 46, 3, p. 326-368

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
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23 Citations (Scopus)
95 Downloads (Pure)

Numerical schemes for linear and non-linear enhancement of DW-MRI

Creusen, E. J., Duits, R., Vilanova, A. & Florack, L. M. J., 2013, In : Numerical Mathematics: Theory, Methods and Applications. 6, 1, p. 138-168

Research output: Contribution to journalArticleAcademicpeer-review

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7 Citations (Scopus)
312 Downloads (Pure)

Numerical schemes for linear and non-linear enhancement of DW-MRI

Creusen, E. J., Duits, R., Vilanova, A. & Florack, L. M. J., 2013, In : Numerical Mathematics: Theory, Methods and Applications. 6, 1, p. 138-168 31 p.

Research output: Contribution to journalArticleAcademicpeer-review

2012

Voorspellen van visueel functieverlies door epilepsiechirurgie

Haar Romeny, ter, B. M., Tax, C. M. W., Duits, R., Vilanova, A., Jacobs, C., Hofman, P. A. M., Wagner, L., Colon, A. & Ossenblok, P. P. W., 2012, In : Epilepsie : Periodiek voor Professionals. 10, 3, 5 p.

Research output: Contribution to journalArticleAcademic

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55 Downloads (Pure)
2011

Left-invariant diffusions on the space of positions and orientations and their application to crossing-preserving smoothing of HARDI images

Duits, R. & Franken, E. M., 2011, In : International Journal of Computer Vision. 92, 3, p. 231-264 34 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
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52 Citations (Scopus)
105 Downloads (Pure)
2010
61 Citations (Scopus)
6 Downloads (Pure)
41 Citations (Scopus)
2009

Crossing-preserving coherence-enhancing diffusion on invertible orientation scores

Franken, E. M. & Duits, R., 2009, In : International Journal of Computer Vision. 85, 3, p. 253-278

Research output: Contribution to journalArticleAcademicpeer-review

45 Citations (Scopus)

Linear image reconstruction by Sobolev norms on the bounded domain

Janssen, B. J. & Duits, R., 2009, In : International Journal of Computer Vision. 84, 2, p. 205-219

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
2008

Schaalpartituren

Duits, R., 2008, In : Nieuw Archief voor Wiskunde. 5/9, 1, p. 31-40

Research output: Contribution to journalArticleAcademicpeer-review

Schaalpartituren : onderzoek: partituren in de beeldanalyse I [Herplaatsing]

Duits, R., 2008, In : Nieuw Archief voor Wiskunde. 5/9, 3, p. 224-232

Research output: Contribution to journalArticleAcademicpeer-review

The explicit solutions of linear left-invariant second order stochastic evolution equations on the 2D-Euclidean motion group

Duits, R. & Almsick, van, M. A., 2008, In : Quarterly of Applied Mathematics. 66, 1, p. 27-67

Research output: Contribution to journalArticleAcademicpeer-review

30 Citations (Scopus)
2 Downloads (Pure)
2007

Image analysis and reconstruction using a wavelet transform constructed from a reducible representation of the Euclidean motion group

Duits, R., Felsberg, M., Granlund, G. & Haar Romenij, ter, B. M., 2007, In : International Journal of Computer Vision. 72, 1, p. 79-102

Research output: Contribution to journalArticleAcademicpeer-review

58 Citations (Scopus)
1 Downloads (Pure)

Invertible orientation scores as an application of generalized wavelet theory

Duits, R., Duits, M., Almsick, van, M. A. & Haar Romenij, ter, B. M., 2007, In : Pattern Recognition and Image Analysis. 17, 1, p. 42-75

Research output: Contribution to journalArticleAcademicpeer-review

16 Citations (Scopus)
2 Downloads (Pure)

ScaleSpaceViz: α-scale spaces in practice

Kanters, F. M. W., Florack, L. M. J., Duits, R., Platel, B. & Haar Romenij, ter, B. M., 2007, In : Pattern Recognition. 17, 1, p. 106-116

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)
2006

A linear image reconstruction framework based on Sobolev type inner products

Janssen, B. J., Kanters, F. M. W., Duits, R., Florack, L. M. J. & Haar Romenij, ter, B. M., 2006, In : International Journal of Computer Vision. 70, 3, p. 231-240

Research output: Contribution to journalArticleAcademicpeer-review

12 Citations (Scopus)
2 Downloads (Pure)
2005

Image processing via shift-twist invariant operations on orientation bundle functions

Duits, R., Almsick, van, M. A., Duits, M., Franken, E. M. & Florack, L. M. J., 2005, In : Pattern Recognition and Image Analysis. 15, 1, p. 151-156

Research output: Contribution to journalArticleAcademicpeer-review

The monogenic scale space on a rectangular domain and its features

Felsberg, M., Duits, R. & Florack, L. M. J., 2005, In : International Journal of Computer Vision. 64, 2-3, p. 187-201

Research output: Contribution to journalArticleAcademicpeer-review

16 Citations (Scopus)
2004

On the axioms of scale space theory

Duits, R., Florack, L. M. J., Graaf, de, J. & Haar Romenij, ter, B. M., 2004, In : Journal of Mathematical Imaging and Vision. 20, 3, p. 267-298

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
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81 Citations (Scopus)
189 Downloads (Pure)