• Groene Loper, Building 15, Gemini-South 2.106, Secretary Rina van Dijck-Postma

    5612 AZ Eindhoven

    Netherlands

Research Output 1977 2020

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2015
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

spherical harmonics
augmentation
3 Citations (Scopus)
4 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

Neuroimaging
Scale Space
kernel
Approximation
Enhancement
2014
57 Downloads (Pure)

Canonical coordinates for retino-cortical magnification

Florack, L. M. J., 2014, Eindhoven: Technische Universiteit Eindhoven. 12 p. (CASA-report; vol. 1405)

Research output: Book/ReportReportAcademic

Open Access
File
eccentricity
comparison
67 Downloads (Pure)

Dissimilarity-based ensembles for multiple instance learning

Cheplygina, V., Tax, D. M. J. & Loog, M., 2014, s.n. 12 p. (arXiv; vol. 1402.1349 [stat.ML])

Research output: Book/ReportReportAcademic

Open Access
File
Classifiers
60 Downloads (Pure)

Numerical approaches for linear left-invariant diffusions on SE(2), their comparison to exact solutions, and their applications in retinal imaging

Zhang, J., Duits, R., Sanguinetti, G. R. & Haar Romeny, ter, B. M., 2014, s.n. 36 p. (arXiv; vol. 1403.3320 [math.NA])

Research output: Book/ReportReportAcademic

Open Access
File
Exact Solution
Imaging
Invariant
Relative Error
Resolvent Equations
301 Downloads (Pure)

Vesselness via multiple scale orientation scores

Hannink, J., Duits, R. & Bekkers, E. J., 2014, s.n. 9 p. (arXiv; vol. 1402.4963 [cs.CV])

Research output: Book/ReportReportAcademic

Open Access
File
Imaging techniques
2013
64 Downloads (Pure)

Left-invariant evolutions of wavelet transforms on the similitude group

Sharma, U. & Duits, R., 2013, Eindhoven: Technische Universiteit Eindhoven. 43 p. (CASA-report; vol. 1317)

Research output: Book/ReportReportAcademic

Open Access
File
Wavelet transforms
Experiments
229 Downloads (Pure)

On the cuspless sub-Riemannian geodesics in $\mathbb{R}\rtimes S^2$

Ghosh, A., Duits, R. & Dela Haije, T. C. J., 2013, s.n. 42 p. (arXiv.org; vol. 1305.6061 [math.OC])

Research output: Book/ReportReportAcademic

Open Access
File
Geodesic
Arc length
Curve
Exponential Map
Pontryagin Maximum Principle
2012
3 Downloads (Pure)

A new retinal vessel tracking method based on orientation scores

Bekkers, E. J., Duits, R., Haar Romeny, ter, B. M. & Berendschot, T. T. J. M., 2012, s.n. 27 p. (arXiv.org; vol. 1212.3530 [cs.CV])

Research output: Book/ReportReportAcademic

Mammals
Medical problems
Screening
Acoustic waves
Chemical analysis
45 Downloads (Pure)

Curve cuspless reconstruction via sub-Riemannian geometry

Boscain, U., Duits, R., Rossi, F. & Sachkov, Y., 2012, s.n. 28 p. (arXiv.org; vol. 1203.3089 [math.OC])

Research output: Book/ReportReportAcademic

Open Access
File
Curve Reconstruction
Sub-Riemannian Geometry
Global Minimizer
Local Minimizer
Boundary conditions
97 Downloads (Pure)

Riemann-Finsler geometry for diffusion weighted magnetic resonance imaging

Florack, L. M. J. & Fuster, A., 2012, Eindhoven: Technische Universiteit Eindhoven. 12 p. (CASA-report; vol. 1223)

Research output: Book/ReportReportAcademic

Open Access
File
magnetic resonance
geometry
2011
198 Downloads (Pure)

Diffusion, convection and erosion on R3 x S2 and their application to the enhancement of crossing fibers

Duits, R., Creusen, E. J., Ghosh, A. & Dela Haije, T. C. J., 2011, Eindhoven: Technische Universiteit Eindhoven. 77 p. (CASA-report; vol. 1122)

Research output: Book/ReportReportAcademic

Open Access
File
Convection-diffusion
Erosion
Enhancement
Fiber
Invariant
103 Downloads (Pure)

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., 2011, s.n. 44 p. (arXiv.org; vol. 1110.6087)

Research output: Book/ReportReportAcademic

Open Access
File
Gabor Transform
Evolution Equation
Invariant
Operator
Reproducing Kernel Space
98 Downloads (Pure)

Multiplicative calculus in biomedical image analysis

Florack, L. M. J. & Assen, van, H. C., 2011, Eindhoven: Technische Universiteit Eindhoven. 12 p. (CASA-report; vol. 1124)

Research output: Book/ReportReportAcademic

Open Access
File
Image Analysis
Multiplicative
Calculus
Positivity
Tensor
2010
10 Citations (Scopus)
45 Downloads (Pure)

Accelerated diffusion operators for enhancing DW-MRI

Rodrigues, P. R., Duits, R., Haar Romenij, ter, B. M. & Vilanova, A., 2010, Eindhoven: Technische Universiteit Eindhoven. 9 p. (CASA-report; vol. 1015)

Research output: Book/ReportReportAcademic

Open Access
File
Magnetic resonance imaging
Imaging techniques
Convolution
Diffusion tensor imaging
Mathematical operators
11 Citations (Scopus)
49 Downloads (Pure)

A new methodology for multiscale myocardial deformation and strain analysis based on tagging MRI

Florack, L. M. J. & Assen, van, H. C., 2010, Eindhoven: Technische Universiteit Eindhoven. 8 p. (CASA-report; vol. 1022)

Research output: Book/ReportReportAcademic

Open Access
File
strain analysis
tagging
methodology
cross section
matrix
8 Citations (Scopus)
63 Downloads (Pure)

A new tensorial framework for single-shell high angular resolution diffusion imaging

Florack, L. M. J., Balmachnova, E., Astola, L. J. & Brunenberg, E. J. L., 2010, Eindhoven: Technische Universiteit Eindhoven. 11 p. (CASA-report; vol. 1048)

Research output: Book/ReportReportAcademic

Open Access
File
angular resolution
spherical harmonics
high resolution
tensors
decomposition
43 Downloads (Pure)
Open Access
File
tensors
fibers
Hamilton-Jacobi equation
bundles
arrivals
251 Downloads (Pure)

A Riemannian scalar measure for diffusion tensor images

Astola, L. J., Fuster, A. & Florack, L. M. J., 2010, Eindhoven: Technische Universiteit Eindhoven. 18 p. (CASA-report; vol. 1057)

Research output: Book/ReportReportAcademic

Open Access
File
tensors
scalars
geometry
angular resolution
high resolution
73 Downloads (Pure)

Cardiac motion estimation using covariant derivatives and Helmholtz decomposition

Duits, R., Becciu, A., Janssen, B. J., Florack, L. M. J., Assen, van, H. C. & Haar Romeny, ter, B. M., 2010, Eindhoven: Technische Universiteit Eindhoven. 40 p. (CASA-report; vol. 1031)

Research output: Book/ReportReportAcademic

Open Access
File
Motion estimation
Derivatives
Decomposition
Optics
Interpolation
66 Downloads (Pure)

Extrapolating fiber crossings from DTI data : can we gain the same information as HARDI?

Prckovska, V., Rodrigues, P. R., Duits, R., Haar Romenij, ter, B. M. & Vilanova, A., 2010, Eindhoven: Technische Universiteit Eindhoven. 9 p. (CASA-report; vol. 1020)

Research output: Book/ReportReportAcademic

Open Access
File
angular resolution
tensors
fibers
high resolution
signal to noise ratios
72 Downloads (Pure)

Finsler geometry on higher order tensor fields and applications to high angular resolution diffusion imaging

Astola, L. J. & Florack, L. M. J., 2010, Eindhoven: Technische Universiteit Eindhoven. 13 p. (CASA-report; vol. 1056)

Research output: Book/ReportReportAcademic

Open Access
File
Tensors
Imaging techniques
Geometry
Fibers
Brain
87 Downloads (Pure)

Left invariant evolution equations on Gabor transforms

Duits, R., Führ, H. & Janssen, B. J., 2010, Eindhoven: Technische Universiteit Eindhoven. 21 p. (CASA-report; vol. 1010)

Research output: Book/ReportReportAcademic

Open Access
File
Gabor Transform
Evolution Equation
Invariant
Vector Field
Operator
65 Downloads (Pure)

Scale space representations locally adapted to the geometry of base and target manifold

Florack, L. M. J., 2010, Eindhoven: Technische Universiteit Eindhoven. 12 p. (CASA-report; vol. 1063)

Research output: Book/ReportReportAcademic

Open Access
File
Image resolution
Gages
Imaging techniques
Geometry
Fibers
2009
34 Downloads (Pure)

Coarse-to-fine partitioning of signals

Florack, L. M. J., 2009, Eindhoven: Technische Universiteit Eindhoven. 2 p. (CASA-report; vol. 0912)

Research output: Book/ReportReportAcademic

Open Access
File
Hot Temperature
24 Downloads (Pure)

Diffusion on the 3D Euclidean motion group for enhancement of HARDI data

Franken, E. M. & Duits, R., 2009, Eindhoven: Technische Universiteit Eindhoven. 12 p. (CASA-report; vol. 0902)

Research output: Book/ReportReportAcademic

Open Access
File
High Angular Resolution
Euclidean
Enhancement
Imaging
Motion
21 Downloads (Pure)

Left-invariant diffusions on R^3 x S^2 and their application to crossing-preserving smoothing on HARDI-images

Duits, R. & Franken, E. M., 2009, Eindhoven: Technische Universiteit Eindhoven. 40 p. (CASA-report; vol. 0918)

Research output: Book/ReportReportAcademic

Open Access
File
High Angular Resolution
Smoothing
Imaging
Invariant
Cartan Connection
61 Downloads (Pure)

Left invariant evolution equations on Gabor transforms

Duits, R., Führ, H. & Janssen, B. J., 2009, Eindhoven: Technische Universiteit Eindhoven. 56 p. (CASA-report; vol. 0909)

Research output: Book/ReportReportAcademic

Open Access
File
Convection
2008
11 Citations (Scopus)
73 Downloads (Pure)

A multi-resolution framework for diffusion tensor images

Florack, L. M. J. & Astola, L. J., 2008, Eindhoven: Technische Universiteit Eindhoven. 7 p. (CASA-report; vol. 0810)

Research output: Book/ReportReportAcademic

Open Access
File
11 Citations (Scopus)
52 Downloads (Pure)

Codomain scale space and regularization for high angular resolution diffusion imaging

Florack, L. M. J., 2008, Eindhoven: Technische Universiteit Eindhoven. 6 p. (CASA-report; vol. 0811)

Research output: Book/ReportReportAcademic

Open Access
File
55 Downloads (Pure)

Crossing-preserving coherence-enhancing diffusion on invertible orientation scores

Franken, E. M. & Duits, R., 2008, Eindhoven: Technische Universiteit Eindhoven. 33 p. (CASA-report; vol. 0803)

Research output: Book/ReportReportAcademic

Open Access
File
5 Citations (Scopus)
21 Downloads (Pure)

Decomposition of high angular resolution diffusion images into a sum of self-similar polynomials on the sphere

Florack, L. M. J. & Balmashnova, E., 2008, Eindhoven: Technische Universiteit Eindhoven. 6 p. (CASA-report; vol. 0815)

Research output: Book/ReportReportAcademic

Open Access
File
23 Downloads (Pure)

Direct computation of myocardial deformation and strain from tagged cine MRI

Florack, L. M. J. & Assen, van, H. C., 2008, Eindhoven: Technische Universiteit Eindhoven. 8 p. (CASA-report; vol. 0822)

Research output: Book/ReportReportAcademic

Open Access
File
25 Downloads (Pure)

Two canonical representations for regularized high angular resolution diffusion imaging

Florack, L. M. J. & Balmashnova, E., 2008, Eindhoven: Technische Universiteit Eindhoven. 12 p. (CASA-report; vol. 0821)

Research output: Book/ReportReportAcademic

Open Access
File
2007
28 Downloads (Pure)
Open Access
File
2005
48 Downloads (Pure)

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

Duits, R., 2005, [Corrected version] ed. Eindhoven: Technische Universiteit Eindhoven. 37 p. (CASA-report; vol. 0543)

Research output: Book/ReportReportAcademic

Open Access
File
2004
26 Downloads (Pure)

A functional Hilbert space approach to the theory of wavelets

Duits, M. & Duits, R., 2004, Eindhoven: Technische Universiteit Eindhoven. 46 p. (RANA : reports on applied and numerical analysis; vol. 0407)

Research output: Book/ReportReportAcademic

Open Access
File
2002

On the axioms of scale space theory

Duits, R., Florack, L. M. J., Graaf, de, J. & Haar Romenij, ter, B. M., 2002, Eindhoven: Faculteit Biomedische Technologie. (BMT Report; vol. 2002-01)

Research output: Book/ReportReportAcademic

2001
1 Downloads (Pure)

On the creations of critical points in scale space with applications to medical image analysis

Kuijper, A. & Florack, L. M. J., 2001, Utrecht: Utrecht University. (UU-CS; vol. 2001-25)

Research output: Book/ReportReportAcademic

image analysis
critical point
catastrophe theory
blurring
tracing

Scale Space Hierarchy

Kuijper, A., Florack, L. M. J. & Viergever, M. A., 2001, Utrecht: Utrecht University. (UU-CS; vol. 2001-19)

Research output: Book/ReportReportAcademic

Scale Space
Critical point
Segmentation
Critical Curves
Catastrophe

The application of catastrophe theory to image analysis

Kuijper, A. & Florack, L. M. J., 2001, Utrecht: Utrecht University. (UU-CS; vol. 2001-23)

Research output: Book/ReportReportAcademic

catastrophe theory
image analysis
critical point
blurring
hierarchies

The application of catastrophe theory to medical image analysis

Kuijper, A. & Florack, L. M. J., 2001, Utrecht: Utrecht University. (UU-CS; vol. 2001-24)

Research output: Book/ReportReportAcademic

catastrophe theory
image analysis
critical point
blurring
hierarchies

The relevance of non-generic events in scale space models

Kuijper, A. & Florack, L. M. J., 2001, Utrecht: Utrecht University. (UU-CS; vol. 2001-55)

Research output: Book/ReportReportAcademic

trajectory
catastrophe theory
modeling
162 Downloads (Pure)

Toepassing van orthogonale matrixgroepen in de geodesie

Duits, R., Kroon, R. J. G. A. & Graaf, de, J., 2001, Eindhoven: Technische Universiteit Eindhoven. 122 p. (IWDE report; vol. 0102)

Research output: Book/ReportReportPopular

Open Access
File
1990
89 Downloads (Pure)

Vloeistofinstabiliteiten in divergerende buizen

Westenberg, J. J. M., 1990, Eindhoven: Technische Universiteit Eindhoven. 59 p. (DCT rapporten; vol. 1990.021)

Research output: Book/ReportReportPopular

Open Access
File
1986
57 Downloads (Pure)

Handleiding assemblage ademfasemeter

Ossevoort, H. J. M. & Bosch, J. G., 1986, Eindhoven: Technische Universiteit Eindhoven. 30 p.

Research output: Book/ReportReportPopular

Open Access
File