Homepage of Remco Duits

Homepage of Remco Duits





·        E    r.duits<AT>tue.nl

·        T  +31-40-247-2859  (TU/e W&I), +31-40-247-3037  (TU/e BMT)

·        W   http://www.bmia.bmt.tue.nl/People/RDuits

·      Curriculum Vitae

                        (CV)  pdf

o    (summary applications) pdf

o    (complete list of publications) pdf


Present Affiliation

Eindhoven University of Technology

Department of Mathematics and Computer Science, MF 7.072


Department of Biomedical Engineering, Gemini 2.110,

PO Box 513,

NL-5600 MB Eindhoven,

The Netherlands.




For complete list see: pdf

For recent research presentation see:

pptx (short & small) pptx (long & large)

For recent general presentations see: pptx  pptx

Invited Talks & Conferences: pdf

PhDThesis: pdf

Links to key publications  (ordered over 5 research areas) :


1.  Orientation scores 

- Brownian motion in orientation scores (contour enhancement):

pdf (QAM 2010), pdf (QAM 2010), pdf (IJCV 2009)

  Example Crossing-Preserving Diffusion (CEDOS) of 2D image avi

  Crossing-Preserving Diffusion of 3D images: pdf (arXiv 2017)

- Direction process in orientation scores (contour completion) :

pdf (QAM 2008), pdf (LNCS 2007),

- Gentle introduction to orientation scores (PhD Th. E.M. Franken)  pdf

- Application OS in retinal imaging (PhD Th. E.J. Bekkers) pdf

- Construction of invertible orientation scores (2D & 3D) :

            pdf (IJCV 2007),  pdf (PRIA 2007)  pdf (SSVM 2015)

            pdf (PhD-thesis), pdf (new arXiv 2017)

- Exact Solutions Brownian Motion & Direction Process on SE(3):

 pdf (2017)

- Tracking and geometric control within orientation scores :

pdf (JMIV 2014),

-         Cuspless Sub-Riemannian geodesics in Euclidean Motion group:

2D :   pdf (JMIV 2014),   pdf (ESAIM-cocv 2014),

                        PDE & data-driven approach:

                        pdf (SIIMS 2015),   pdf (SSVM 2015)

                                    Fast-Marching approach : pdf (2015)

                                    Projective line bundle & Maxwell sets pdf (GSI 2017)


3D : pdf (JDCS 2016)  (package)


dD : pdf (bookchapter 2013) 

-  Sub-Riemannian geodesics in SO(3) & applications: pdf (JMIV 2017)

- Numerics left-inv PDE’s & comparion to exact solutions

 pdf (NM-TMA 2015)

-         Optimal (Asymmetric) Finsler Geodesics in SE(d)  (to deal with crossings & bifurcations): pdf (JMIV 2017)


Medical Image Analysis Applications:

- Training of templates/inverse problem in orientation scores :

pdf (EMMCVPR LNCS  2014)

- Biomarker curvature pdf (OMIA 2015)

- Crossing-preserving vesselness application: pdf (MICCAI 2014)


- Locally Adaptive Derivatives (LAD) in SE(d) & applications: pdf (JMIV 2016) 

- Curvature estimation via LAD in SE(3): pdf  (SSVM 2017)

- Vessel Segmentation via LAD in SE(2): pdf  (TMI 2016)


- Multiple scale orientation scores: pdf / pdf (ACHA 2015)

- Perceptual grouping: pdf (Biological Cyb. 2017)                     

- Crossing-preserving diffusions of 3D datasets: pdf (ArXiv 2017) 

- Template Matching & Machine Learning in SE(2): pdf (PAMI 2017)



2.  Diffusion Weighted MRI

Fiber enhancement and completion in DW-MRI :

-          theory: pdf (IJCV 2010) pdf (LNCS 2011), pdf (LNCS 2011), pdf (JMIV 2014), pdf (SSVM 2015)

-          applications: pdf (LNCS 2011), pdf (MICCAI), pdf (JNeuMeth2017)

combination with CSD & practical validations:

pdf (2015)

-          numerics : pdf (NM-TMA 2013) (package)

                    pdf (Eurographics)

-         abstracts to open source DiPY implementations:

pdf (linear contextual enhancement, 2016)

pdf (fiber to bundle coherence measures, 2016)


Morphological scale spaces on DW-MRI :

-         theory : pdf (JMIV 2014)

-         applications : pdf (Dagstuhl 2013), new (PlosOne 2014) 


3.   Gabor transforms

-         Differential Reassignment :

pdf (Book-ch 8 2012)

-         Theory of left-invariant evolutions on Gabor transforms with applications in cardiac imaging :

pdf  (ACHA 2013)

-         applications : pdf (FIMH 2013), pdf (STACOM 2013)


4.  Optic Flow

Multi-scale Helmholtz decomposition  and covariant derivatives for cardiac motion analysis:

pdf (QAM 2013) pdf (LNCS 2012)


5.  Scale Space Theory

Reconstruction from scale space singularities via Gelfand triples :

·      theory  pdf (IJCV 2009), pdf (LNCS 2006), pdf

·      implementation pdf (IJCV 2006)

·      applications : pdf (QAM 2013), pdf (LNCS 2012), pdf (NW 2008)

            Scale spaces on bounded domain : pdf (IJCV 2007), pdf (LNCS 2005)

            Scale spaces on Lie groups : pdf (LNCS 2007), pdf (JMIV 2012)

            Axioms of scale space theory : pdf (JMIV,2004)


Synopsis research and applications doc              

Awards/Achievements:  pdf


Research Grants

Currently involved as main applicant in the approved research grants :

-         European Research Council 2013-2018  ERC-Stg (personal grant)  Title: Lie Analysis, ( no. 335555)

Full title: Lie Group Analysis for Medical Image Processing

-           EU-Marie Curie (FP7-PEOPLE-2013-ITN),

 Title: MANET (no. 607643)

       Full Title: Metric Analysis and Emerging Technologies.

Currently involved as co-applicant in:

IST/e High Potential Program TU/e, image science and technology

EU-Marie Curie FIRST (ag.no. PITN-GA-2009-238702)

Recent Workshop: http://bmia.bmt.tue.nl/people/RDuits/workshop/index.html




2WA08 (Applied Functional Analysis)

2DX00 (Mathematics for Physiology)

2DM00 (Basiswiskunde)

2DM60 (Wiskunde II)

8G116 (Aansluitingsmodule voor BMT)

8D020 (Mathematical Techniques for Image Analysis)

2WBB0 (Calculus)

For more info see http://owinfo.tue.nl/

and http://onderwijs.tue.nl/Nieuws/Pages/Default.aspx

Overview Student project supervision, see doc


Summer School Cortona 2017

Schedule pdf   Course-material folder zip  Slides zip





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