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Research Output

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

Brain connectivity measures via direct sub-Finslerian front propagation on the 5D sphere bundle of positions and directions

Portegies, J., Meesters, S., Ossenblok, P., Fuster, A., Florack, L. & Duits, R., 3 May 2019, Computational diffusion MRI: International MICCAI Workshop, Granada, Spain, September 2018. Bonet-Carne, E., Grussu, F., Ning, L., Sepehrband, F. & Tax, C. M. W. (eds.). Cham: Springer, p. 309-321 13 p. (Mathematics and Visualization).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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1 Citation (Scopus)
25 Downloads (Pure)

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

Open Access
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1 Citation (Scopus)
39 Downloads (Pure)

Total variation and mean curvature PDEs on the space of positions and orientations

Duits, R., St-Onge, E., Portegies, J. & Smets, B., 5 Jun 2019, Scale Space and Variational Methods in Computer Vision - 7th International Conference, SSVM 2019, Proceedings. Lellmann, J., Modersitzki, J. & Burger, M. (eds.). Berlin: Springer, p. 211-223 13 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11603 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)
3 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

Open Access
File
8 Citations (Scopus)
58 Downloads (Pure)

Differential geometry and orientation analysis in image processing

Duits, R., Citti, G., Fuster, A. & Schultz, T., 1 Jul 2018, In : Journal of Mathematical Imaging and Vision. 60, 6, p. 763-765 3 p.

Research output: Contribution to journalEditorialAcademicpeer-review

Open Access

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

Open Access
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8 Citations (Scopus)
232 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)

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., 1 Jan 2018, Medical Image Computing and Computer Assisted Intervention – MICCAI 2018 - 21st International Conference, 2018, Proceedings. Schnabel, J. A., Davatzikos, C., Alberola-López, C., Fichtinger, G. & Frangi, A. F. (eds.). Cham: Springer, p. 440-448 9 p. (Lecture Notes in Computer Science; vol. 11070).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

13 Citations (Scopus)

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)
82 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

Open Access
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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

Open Access
File
4 Citations (Scopus)
84 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)

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

Meesters, S. P. L., Ossenblok, P. P. W., Wagner, L., Schijns, O. E. M. G., Boon, P., Florack, L. M. J., Vilanova Bartroli, A. & Duits, R., May 2017, ISMRM 25th Annual Meeting & Exhibition, 22-27 April 2017, Honolulu, Hawaii. 3476

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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

The hessian of axially symmetric functions on SE(3) and application in 3D image analysis

Janssen, M. H. J., Dela Haije, T. C. J., Martin, F. C., Bekkers, E. J. & Duits, R., 2017, Scale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, Proceedings. Lauze, F., Dong, Y. & Bjorholm Dahl, A. (eds.). Dordrecht: Springer, p. 643-655 13 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10302 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2 Citations (Scopus)

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
File
8 Citations (Scopus)
48 Downloads (Pure)

Vessel tracking via sub-riemannian geodesics on the projective line bundle

Bekkers, E. J., Duits, R., Mashtakov, A. & Sachkov, Y., 2017, Geometric Science of Information : Third International Conference, GSI, 2017 Paris, France, November 7-9, 2017: proceedings. Nielsen, F. & Barbaresco, F. (eds.). Cham: Springer, p. 773-781 9 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 10589 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

1 Citation (Scopus)
1 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

Open Access
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14 Citations (Scopus)
443 Downloads (Pure)

Cleaning output of tractography via fiber to bundle coherence, a new open source implementation

Meesters, S. P. L., Sanguinetti, G. R., Garyfallidis, E., Portegies, J. M., Ossenblok, P. P. W. & Duits, R., 26 Jun 2016.

Research output: Contribution to conferencePosterAcademic

Open Access
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69 Downloads (Pure)

Fast implementations of contextual PDE's for HARDI data processing in DIPY

Meesters, S. P. L., Sanguinetti, G., Garyfallidis, E., Portegies, J. M. & Duits, R., 7 May 2016.

Research output: Contribution to conferencePosterAcademic

Open Access
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115 Downloads (Pure)

Geometric connectivity analysis based on edge co-occurrences in retinal images

Abbasi-Sureshjani, S., Zhang, J., Sanguinetti, G. R., Duits, R. & ter Haar Romenij, B. M., Oct 2016, p. 154–155. 2 p.

Research output: Contribution to conferenceAbstractAcademic

Open Access
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65 Downloads (Pure)

Holistic image reconstruction for diffusion MRI

Golkov, V., Portegies, J. M., Golkov, A., Duits, R. & Cremers, D., 2016, Mathematics and visualization. Fuster, A., Ghosh, A., Kaden, E., Rathi, Y. & Reisert, M. (eds.). Berlin: Springer, p. 27-39 13 p. (Mathematics and Visualization).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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

Open Access
File
7 Citations (Scopus)
89 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., 2016, arXiv.org. 43 p.

Research output: Book/ReportReportAcademic

Open Access
File
69 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

Open Access
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98 Citations (Scopus)
323 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

Open Access
File
25 Citations (Scopus)
263 Downloads (Pure)

Contextual diffusion image post-processing aids clinical applications

Prckovska, V., Andorrà, M., Villoslada, P., Martinez-Heras, E., Duits, R., Fortin, D., Rodrigues, P. & Descoteaux, M., 2015, Visualization and Processing of Higher Order Descriptors for Multi-Valued Data. Hotz, I. & Schultz, T. (eds.). Cham: Springer, p. 353-377 383 p. (Mathematics and Visualization).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

4 Citations (Scopus)
2 Downloads (Pure)

Curvature based biomarkers for diabetic retinopathy via exponential curve fits in SE (2)

Bekkers, E. J., Zhang, J., Duits, R. & ter Haar Romeny, B. M., Oct 2015, Proceedings of the Ophthalmic Medical Image Analysis : Third International Workshop (OMIA 2016) Held in Conjunction with MICCAI 2016, 9-13 October 2016, Munich, Germany. Chen, X., Garvin, M. K., Liu, J., Trucco, E. & Xu, Y. (eds.). p. 113-120

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Open Access
File
56 Downloads (Pure)

Data-driven sub-Riemannian geodesics in SE(2)

Bekkers, E. J., Duits, R., Mashtakov, A. & Sanguinetti, G. R., 2015, Scale Space and Variational Methods in Computer Vision (5th International Conference, SSVM 2015, Lège-Cap Ferret, France, May 31-June 4, 2015, Proceedings). Aujol, J-F., Nikolova, M. & Papadakis, N. (eds.). Springer, p. 613-625 (Lecture Notes in Computer Science; vol. 9087).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

6 Citations (Scopus)
1 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. & Duits, R., 2015, s.l.: s.n. 39 p. (arXiv; vol. 1506.07062 [cs.CV])

Research output: Book/ReportReportAcademic

Open Access
File
80 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
File
13 Citations (Scopus)
27 Downloads (Pure)

Invertible orientation scores of 3D images

Janssen, M. H. J., Duits, R. & Breeuwer, M., 2015, Scale Space and Variational Methods in Computer Vision (5th International Conference, SSVM 2015, Lège-Cap Ferret, France, May 31-June 4, 2015, Proceedings). Aujol, J-F., Nikolova, M. & Papadakis, N. (eds.). Springer, p. 563-575 (Lecture Notes in Computer Science; vol. 9087).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

3 Citations (Scopus)
1 Downloads (Pure)

Invertible orientation scores of 3D images

Janssen, M. H. J., Duits, R. & Breeuwer, M., 2015, s.n. 12 p. (arXiv; vol. 1505.07690 [math.NA])

Research output: Book/ReportReportAcademic

3 Citations (Scopus)
1 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

11 Citations (Scopus)
1 Downloads (Pure)

New approximation of a scale space kernel on SE(3) and applications in neuroimaging

Portegies, J. M., Sanguinetti, G. R., Meesters, S. P. L. & Duits, R., 2015, Scale Space and Variational Methods in Computer Vision (5th International Conference, SSVM 2015, Lège-Cap Ferret, France, May 31-June 4, 2015, Proceedings). Aujol, J-F., Nikolova, M. & Papadakis, N. (eds.). Springer, p. 40-52 (Lecture Notes in Computer Science; vol. 9087).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

3 Citations (Scopus)
1 Downloads (Pure)

New approximation of a scale space kernel on SE(3) and applications in neuroimaging

Portegies, J. M., Sanguinetti, G. R., Meesters, S. P. L. & Duits, R., 2015, s.n. 12 p. (arXiv; vol. 1506.02529 [math.AP])

Research output: Book/ReportReportAcademic

3 Citations (Scopus)
4 Downloads (Pure)

Sub-Riemannian fast marching in SE(2)

Sanguinetti, G., Bekkers, E., Duits, R., Janssen, M. H. J., Mashtakov, A. & Mirebeau, J-M., 25 Oct 2015, Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications : 20th Iberoamerican Congress, CIARP 2015, Montevideo, Uruguay, November 9-12, 2015 : Proceedings. Pardo, A. & Kittler, J. (eds.). Cham: Springer, p. 366-374 8 p. (Lecture Notes in Computer Science (LNCS); vol. 9423).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

13 Citations (Scopus)

Towards quantification of the brain’s sheet structure in diffusion MRI data

Tax, C. M. W., Dela Haije, T. C. J., Fuster, A., Duits, R., Viergever, M. A., Calabrese, E., Johnson, G. A., Florack, L. M. J. & Leemans, A., 2015, Proceedings of the International Biomedical and Astronomical Signal Processing (BASP) Frontiers workshop January 25 - 30, 2015, Villars-sur-Ollon, Switzerland. Wiaux, Y., McEwen, J. & Lustig, M. (eds.). p. 74

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

Open Access
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146 Downloads (Pure)

Training of templates for object recognition in invertible orientation scores : application to optic nerve head detection in retinal images

Bekkers, E. J., Duits, R. & Loog, M., 2015, Energy Minimization Methods in Computer Vision and Pattern Recognition (10th International Conference, EMMCVPR 2015, Hong Kong, China, January 13-16, 2015. Proceedings). Tai, X. C., Bae, E., Chan, T. F. & Lysaker, M. (eds.). Berlin: Springer, p. 464-477 (Lecture Notes in Computer Science; vol. 8932).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

4 Citations (Scopus)
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

63 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

24 Citations (Scopus)

Crossing-preserving multi-scale vesselness

Hannink, J., Duits, R. & Bekkers, E. J., 2014, Medical Image Computing and Computer-Assisted Intervention – MICCAI 2014 (17th International Conference, Boston, MA, USA, September 14-18, 2014, Proceedings, Part II). Golland, P., Hata, N., Barillot, C., Hornegger, J. & Howe, R. (eds.). Cham: Springer, p. 603-610 (Lecture Notes in Computer Science; vol. 8674).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

13 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
File
16 Citations (Scopus)
108 Downloads (Pure)

Cuspless sub-Riemannian geodesics within the Euclidean motion group SE(d)

Duits, R., Ghosh, A., Dela Haije, T. C. J. & Sachkov, Y., 2014, Neuromathematics of Vision. Citti, G. & Sarti, A. (eds.). Berlin: Springer, p. 173-215 (Lecture Notes in Morphogenesis).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic