N. Aronszajn, Theory of reproducing kernels. Transactions of the, pp.337-404, 1950.

S. Arya, D. M. Mount, N. S. Netanyahu, R. Silverman, and A. Y. Wu, An optimal algorithm for approximate nearest neighbor searching fixed dimensions, Journal of the ACM, vol.45, issue.6, pp.891-923, 1998.
DOI : 10.1145/293347.293348

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.15.3125

Y. Assaf and O. Pasternak, Diffusion Tensor Imaging (DTI)-based White Matter Mapping in Brain Research: A Review, Journal of Molecular Neuroscience, vol.17, issue.S1, pp.51-61, 2008.
DOI : 10.1161/01.STR.30.11.2382

J. Böttger, A. Schäfer, G. Lohmann, A. Villringer, and D. Margulies, Three-Dimensional Mean-Shift Edge Bundling for the Visualization of Functional Connectivity in the Brain, IEEE Transactions on Visualization and Computer Graphics, vol.20, issue.3, pp.471-480, 2014.
DOI : 10.1109/TVCG.2013.114

U. Brandes and D. Wagner, Using Graph Layout to Visualize Train Interconnection Data, Journal of Graph Algorithms and Applications, vol.4, issue.3, pp.135-155, 2000.
DOI : 10.7155/jgaa.00028

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.1609

M. Brehmer and T. Munzner, A Multi-Level Typology of Abstract Visualization Tasks, IEEE Transactions on Visualization and Computer Graphics, vol.19, issue.12, pp.2376-2385, 2013.
DOI : 10.1109/TVCG.2013.124

J. Brosz, M. A. Nacenta, R. Pusch, S. Carpendale, and C. Hurter, Transmogrification, Proceedings of the 26th annual ACM symposium on User interface software and technology, UIST '13, pp.97-106, 2013.
DOI : 10.1145/2501988.2502046

URL : https://hal.archives-ouvertes.fr/hal-00876530

K. Buchin, B. Speckmann, and K. Verbeek, Flow Map Layout via Spiral Trees, IEEE Transactions on Visualization and Computer Graphics, vol.17, issue.12, pp.2536-2544, 2011.
DOI : 10.1109/TVCG.2011.202

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.221.2757

K. Buchin, B. Speckmann, and K. Verbeek, Angle-Restricted Steiner Arborescences for Flow Map Layout, Algorithmica, vol.47, issue.2, pp.656-685, 2015.
DOI : 10.1179/000870410X12658023467367

URL : http://arxiv.org/abs/1109.3316

P. Caserta, O. Zendra, and D. Bodénès, 3D Hierarchical Edge bundles to visualize relations in a software city metaphor, 2011 6th International Workshop on Visualizing Software for Understanding and Analysis (VISSOFT), pp.1-8, 2011.
DOI : 10.1109/VISSOF.2011.6069451

URL : https://hal.archives-ouvertes.fr/inria-00613725

W. Chen, S. Zhang, S. Correia, and D. S. Ebert, Abstractive Representation and Exploration of Hierarchically Clustered Diffusion Tensor Fiber Tracts, Computer Graphics Forum, vol.9, issue.4, pp.1071-1078, 2008.
DOI : 10.1109/TVCG.2007.1014

D. Comaniciu and P. Meer, Mean shift: a robust approach toward feature space analysis, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.24, issue.5, pp.603-619, 2002.
DOI : 10.1109/34.1000236

URL : http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.160.3832&rep=rep1&type=pdf

B. Cornelissen, A. Zaidman, D. Holten, L. Moonen, A. Van-deursen et al., Execution trace analysis through massive sequence and circular bundle views, Journal of Systems and Software, vol.81, issue.12, pp.2252-2268, 2008.
DOI : 10.1016/j.jss.2008.02.068

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.128.4380

W. Cui, H. Zhou, H. Qu, P. C. Wong, and X. Li, Geometry-Based Edge Clustering for Graph Visualization, IEEE Transactions on Visualization and Computer Graphics, vol.14, issue.6, pp.1277-1284135, 2008.
DOI : 10.1109/TVCG.2008.135

C. and D. Boor, A Practical Guide to Splines. Number 27 in Applied Mathematical Sciences, pp.10-1137, 1978.

M. De-hoon, S. Imoto, J. Nolan, and S. Myiano, Open source clustering software Code available at bonsai, Bioinformatics, vol.20, issue.9, pp.14-53, 2004.

D. Defays, An efficient algorithm for a complete link method, The Computer Journal, vol.20, issue.4, p.364, 1977.
DOI : 10.1093/comjnl/20.4.364

URL : https://academic.oup.com/comjnl/article-pdf/20/4/364/1108735/200364.pdf

A. Delaigle and P. Hall, Defining probability density for a distribution of random functions, The Annals of Statistics, vol.38, issue.2, pp.1171-1193, 2010.
DOI : 10.1214/09-AOS741

O. Ersoy, C. Hurter, F. Paulovich, G. Cantareiro, and A. Telea, Skeleton-Based Edge Bundling for Graph Visualization, IEEE Transactions on Visualization and Computer Graphics, vol.17, issue.12, pp.2364-2373, 2011.
DOI : 10.1109/TVCG.2011.233

URL : https://hal.archives-ouvertes.fr/hal-01021607

M. Ester, H. Kriegel, J. Sander, and X. Xu, A density-based algorithm for discovering clusters a density-based algorithm for discovering clusters in large spatial databases with noise, Proceedings of 2 nd International Conference on Knowledge Discovery and Data Mining (KDD), pp.226-231, 1996.

M. H. Everts, E. Begue, H. Bekker, J. B. Roerdink, and T. Isenberg, Exploration of the Brain???s White Matter Structure through Visual Abstraction and Multi-Scale Local Fiber Tract Contraction, IEEE Transactions on Visualization and Computer Graphics, vol.21, issue.7, pp.808-821, 2015.
DOI : 10.1109/TVCG.2015.2403323

M. H. Everts, H. Bekker, J. B. Roerdink, and T. Isenberg, Depth-Dependent Halos: Illustrative Rendering of Dense Line Data, IEEE Transactions on Visualization and Computer Graphics, vol.15, issue.6, pp.1299-1306138, 2009.
DOI : 10.1109/TVCG.2009.138

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.395.7694

M. Giereth, H. Bosch, and T. Ertl, A 3D treemap approach for analyzing the classificatory distribution in patent portfolios, 2008 IEEE Symposium on Visual Analytics Science and Technology, pp.189-190, 2008.
DOI : 10.1109/VAST.2008.4677380

G. Golub and C. Van-loan, Matrix Computations, 1996.

M. Graham and J. Kennedy, Using curves to enhance parallel coordinate visualisations, Proceedings on Seventh International Conference on Information Visualization, 2003. IV 2003., pp.10-16, 2003.
DOI : 10.1109/IV.2003.1217950

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.14.7953

M. Griebel, T. Preusser, M. Rumpf, M. A. Schweitzer, and A. Telea, Flow field clustering via algebraic multigrid, IEEE Visualization 2004, pp.35-42, 2004.
DOI : 10.1109/VISUAL.2004.32

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.304.7668

T. Hastie and W. Stuetzle, Principal Curves, Journal of the American Statistical Association, vol.26, issue.406, pp.502-516, 1989.
DOI : 10.1080/03610927508827223

D. Holten, Hierarchical Edge Bundles: Visualization of Adjacency Relations in Hierarchical Data, IEEE Transactions on Visualization and Computer Graphics, vol.12, issue.5, pp.741-748, 2006.
DOI : 10.1109/TVCG.2006.147

D. Holten and J. J. Van-wijk, Force-Directed Edge Bundling for Graph Visualization, Computer Graphics Forum, vol.31, issue.1, pp.670-677, 2009.
DOI : 10.7155/jgaa.00051

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.212.7989

C. Hurter, Image-Based Visualization: Interactive Multidimensional Data Exploration. Synthesis Lectures on Visualization, pp.10-2200, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01280955

C. Hurter, O. Ersoy, S. I. Fabrikant, T. R. Klein, and A. C. Telea, Bundled Visualization of DynamicGraph and Trail Data, IEEE Transactions on Visualization and Computer Graphics, vol.20, issue.8, pp.1141-1157, 2014.
DOI : 10.1109/TVCG.2013.246

C. Hurter, O. Ersoy, and A. Telea, Graph Bundling by Kernel Density Estimation, Computer Graphics Forum, vol.9, issue.2, pp.31865-874
DOI : 10.1111/j.1467-8659.2012.03079.x

URL : https://hal.archives-ouvertes.fr/hal-01022472

C. Hurter, O. Ersoy, and A. Telea, Smooth bundling of large streaming and sequence graphs, 2013 IEEE Pacific Visualization Symposium (PacificVis), pp.41-48, 2013.
DOI : 10.1109/PacificVis.2013.6596126

URL : https://hal.archives-ouvertes.fr/hal-00878680

C. Hurter, A. Telea, and O. Ersoy, MoleView: An Attribute and Structure-Based Semantic Lens for Large Element-Based Plots, IEEE Transactions on Visualization and Computer Graphics, vol.17, issue.12, pp.2600-2609223, 2011.
DOI : 10.1109/TVCG.2011.223

URL : https://hal.archives-ouvertes.fr/hal-01021608

J. Jacques and C. Preda, Functional data clustering: A survey Advances in Data Analysis and Classification, pp.231-255, 2014.

A. K. Jain, M. N. Murty, and P. J. Flynn, Data clustering: a review, ACM Computing Surveys, vol.31, issue.3, pp.264-323
DOI : 10.1145/331499.331504

B. Jobard and W. Lefer, Creating Evenly-Spaced Streamlines of Arbitrary Density, Proc. of the Eurographics Workshop on Visualization in Scientific Computing (ViSC), pp.43-55, 1997.
DOI : 10.1007/978-3-7091-6876-9_5

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.9498

A. Lambert, D. Auber, and G. Melancon, Living flows: Enhanced exploration of edge-bundled graphs based on GPU-intensive edge rendering, Proc. 14 th International Conference on Information Visualisation, pp.523-53078, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00495293

A. Lambert, R. Bourqui, and D. Auber, Winding Roads: Routing edges into bundles, Computer Graphics Forum, vol.31, issue.2, pp.853-862, 2010.
DOI : 10.1111/j.1467-8659.2009.01700.x

URL : https://hal.archives-ouvertes.fr/hal-00495279

A. Lhuillier, C. Hurter, and A. Telea, FFTEB: Edge bundling of huge graphs by the Fast Fourier Transform, 2017 IEEE Pacific Visualization Symposium (PacificVis), 2017.
DOI : 10.1109/PACIFICVIS.2017.8031594

URL : https://hal.archives-ouvertes.fr/hal-01533755

A. Lhuillier, C. Hurter, and A. Telea, State of the Art in Edge and Trail Bundling Techniques, Computer Graphics Forum, vol.27, issue.3, 2017.
DOI : 10.1109/TST.2013.6509098

URL : https://hal.archives-ouvertes.fr/hal-01559020

S. Luo, C. Liu, B. Chen, and K. Ma, Ambiguity-free edgebundling for interactive graph visualization, IEEE Transactions on Visualization and Computer Graphics, vol.18, issue.5, pp.810-821, 2012.

H. Mark and J. Workman, Statistics for Spectroscopy, p.001650859291831, 2003.
DOI : 10.1016/B978-0-12-409547-2.12098-0

A. Mebarki, P. Alliez, and O. Devillers, Farthest point seeding for efficient placement of streamlines, Proc. IEEE Visualization, pp.479-486, 2005.

B. Moberts, A. Vilanova, and J. J. Van-wijk, Evaluation of fiber clustering methods for diffusion tensor imaging, Proc. IEEE Visualization, pp.65-72, 2005.

Q. Nguyen, P. Eades, and S. Hong, StreamEB: Stream Edge Bundling., Proceedings 20 th International Conference on Graph Drawing, pp.400-413, 2013.
DOI : 10.1007/978-3-642-36763-2_36

Q. Nguyen, S. Hong, and P. Eades, TGI-EB: A New Framework for Edge Bundling Integrating Topology, Geometry and Importance, Proceedings of the 19 th International Conference on Graph Drawing, pp.123-135
DOI : 10.1109/PACIFICVIS.2008.4475459

U. Ozertem and D. Erdogmus, Locally defined principal curves and surfaces, Journal of Machine Research Learning, vol.12, pp.1249-1286, 2011.

V. Peysakhovich, C. Hurter, and A. Telea, Attribute-driven edge bundling for general graphs with applications in trail analysis, 2015 IEEE Pacific Visualization Symposium (PacificVis), pp.39-46, 2015.
DOI : 10.1109/PACIFICVIS.2015.7156354

URL : https://hal.archives-ouvertes.fr/hal-01411568

D. Phan, L. Xiao, R. Yeh, P. Hanrahan, and T. Winograd, Flow map layout, Proc. IEEE InfoVis, pp.219-224, 2005.

L. Piegl and W. Tiller, The NURBS Book, pp.978-981, 1997.

R. Prado and M. West, Time Series: Modeling, Computation, and Inference, 2010.

S. Pupyrev, L. Nachmanson, and M. Kaufmann, Improving Layered Graph Layouts with Edge??Bundling, Proc. 10 th International Conference on Graph Drawing, pp.329-340, 2011.
DOI : 10.1109/TSMC.1981.4308636

H. Qu, H. Zhou, and Y. Wu, Controllable and Progressive Edge Clustering for Large Networks, Proc. 5 th International Conference on Graph Drawing, pp.399-404, 2006.
DOI : 10.1007/978-3-540-70904-6_38

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.109.663

J. Ramsay and B. Silverman, Functional Data Analysis, 2005.

N. H. Riche, T. Dwyer, B. Lee, and S. Carpendale, Exploring the design space of interactive link curvature in network diagrams, Proceedings of the International Working Conference on Advanced Visual Interfaces, AVI '12, pp.506-513, 2012.
DOI : 10.1145/2254556.2254652

W. Saeys, B. De-ketelaere, and P. Darius, Potential applications of functional data analysis in chemometrics, Journal of Chemometrics, vol.51, issue.5, pp.335-344, 2008.
DOI : 10.1007/978-1-4757-7107-7

R. Scheepens, N. Willems, H. Van-de-wetering, G. Andrienko, N. Andrienko et al., Composite Density Maps for Multivariate Trajectories, IEEE Transactions on Visualization and Computer Graphics, vol.17, issue.12, pp.2518-2527181, 2011.
DOI : 10.1109/TVCG.2011.181

D. Selassie, B. Heller, and J. Heer, Divided Edge Bundling for Directional Network Data, IEEE Transactions on Visualization and Computer Graphics, vol.17, issue.12, pp.2354-2363, 0190.
DOI : 10.1109/TVCG.2011.190

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.688.1933

R. Sibson, SLINK: An optimally efficient algorithm for the single-link cluster method, The Computer Journal, vol.16, issue.1, pp.30-34, 1973.
DOI : 10.1093/comjnl/16.1.30

H. Stark and J. Woods, Probability, random processes, and estimation theory for engineers, pp.10-2307, 1986.

A. Telea and O. Ersoy, Image-Based Edge Bundles: Simplified Visualization of Large Graphs, Computer Graphics Forum, vol.27, issue.3, pp.543-551, 2010.
DOI : 10.1111/j.1467-8659.2009.01680.x

C. Tominski, J. Abello, F. Van-ham, and H. Schumann, Fisheye Tree Views and Lenses for Graph Visualization, Tenth International Conference on Information Visualisation (IV'06), pp.17-24, 2006.
DOI : 10.1109/IV.2006.54

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.85.8841

A. Tsai, C. F. Westin, A. O. Hero, and A. S. Willsky, Fiber Tract Clustering on Manifolds With Dual Rooted-Graphs, 2007 IEEE Conference on Computer Vision and Pattern Recognition, pp.1-6383096, 2007.
DOI : 10.1109/CVPR.2007.383096

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.294.1891

M. Van-der-zwan, V. Codreanu, and A. Telea, CUBu: Universal Real-Time Bundling for Large Graphs, IEEE Transactions on Visualization and Computer Graphics, vol.22, issue.12, pp.2550-2563, 2016.
DOI : 10.1109/TVCG.2016.2515611

C. Westin, S. Maier, H. Mamata, A. Nabavi, F. Jolesz et al., Processing and visualization for diffusion tensor MRI, Medical Image Analysis, vol.6, issue.2, pp.930108-930118, 2002.
DOI : 10.1016/S1361-8415(02)00053-1

R. Wettel and M. Lanza, Program Comprehension through Software Habitability, 15th IEEE International Conference on Program Comprehension (ICPC '07), pp.231-24030, 2007.
DOI : 10.1109/ICPC.2007.30

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.473.5499

O. W. Winkler, Interpreting Economic and Social Data: A Foundation of Descriptive Statistics, The Accounting Review, vol.85, issue.5, 2009.
DOI : 10.2308/accr.2010.85.5.1820

N. Wong and S. Carpendale, Supporting interactive graph exploration using edge plucking, Proc. SPIE Visualization and Data Analysis, pp.235-246, 1117.
DOI : 10.1117/12.704612

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.230.7985

C. Wu and R. E. Caves, Research review of air traffic management, Transport Reviews, vol.24, issue.1, pp.115-132, 1080.
DOI : 10.1016/0377-2217(91)90239-R

F. Yao, H. Mller, and J. Wang, Functional linear regression analysis for longitudinal data, The Annals of Statistics, vol.33, issue.6, pp.2873-2903, 2005.
DOI : 10.1214/009053605000000660

H. Yu, C. Wang, C. K. Shene, and J. H. Chen, Hierarchical streamline bundles, IEEE Transactions on Visualization and Computer Graphics, vol.18, issue.8, pp.1353-1367, 2011.

H. Zhou, P. Xu, X. Yuan, and H. Qu, Edge bundling in information visualization, Tsinghua Science and Technology, vol.18, issue.2, pp.145-156, 2013.
DOI : 10.1109/TST.2013.6509098

URL : http://doi.org/10.1109/tst.2013.6509098