ARCADES technical reports, journal and conference papers

Preprints of all publications are provided in accordance to the Article 29.2 of the project’s Grant Agreement.

1Georgia Avarikioti, Ioannis Z. Emiris, Loukas Kavouras, Ioannis PsarrosHigh-dimensional approximate r-nets. (Preprint)Published
2I. Emiris, C. Konaxis, S. Kotsireas and C. Laroche Matrix Representations by Means of Interpolation. (Preprint)Published
3I. Emiris, C. Konaxis and C. LarocheImplicit representations of high-codimension varieties. (Preprint)Published
4E. Bartzos, I. Emiris, J. Legerský, E. TsigaridasOn the maximal number of real embeddings of spatial minimally rigid graphs. (Preprint)Published
5Evangelos Bartzos, Ioannis Z. Emiris, Jan Legerský, Elias TsigaridasOn the maximal number of real embeddings of minimally rigid graphs in R^2, R^3 and S^2. (Preprint)Published
6Yairon Cid RuizA D-module approach on the equations of the Rees algebraTo appear in J. Commutative Algebra
7Yairon Cid RuizBounding the degrees of a minimal μ-basis for a rational surface parametrization, (Preprint)Published
8Yairon Cid RuizRegularity and Gröbner bases of the Rees algebra of edge ideals of bipartite graphs, (Preprint)Published
9Yairon Cid-Ruiz, Sepehr Jafari, Navid Nemati, Beatrice PiconeRegularity of bicyclic Graphs and their powers. (Preprint)Published
10Yairon Cid Ruiz, Aron Simis Degree of rational maps via specializationSubmitted
11Laurent Busé, Yairon Cid-Ruiz, Carlos D'AndreaDegree and birationality of multi-graded rational mapsTo appear in the Proceedings of the London Mathematical Society
12Y. Cid RuizMultiplicity of the saturated special fiber ring of height two perfect ideals. (Preprint)To appear in Proc. Amer. Math. Soc.
13T. C. Benítez, D. A. Cox, C. D'AndreaThe Rees algebra of parametric curves via liftings. (Preprint)Published
14T. C. Benítez, C. D'Andrea, and E. MontoroMinimal solutions of the rational interpolation problem.In press
15L. Feng, P. Alliez, L. Busé, H. Delingette, M. DesbrunCurved optimal Delaunay triangulation. (Preprint)Published
16 Nicolás Botbol, Laurent Busé, Marc Chardin, Fatmanur YildirimFibers of multi-graded rational maps and orthogonal projection onto rational surfacesSubmitted
17Laurent Busé, Clément Laroche, Fatmanur Yildirim Implicitizing rational curves by the method of moving quadrics. (Preprint)Published
18Ahmed Blidia, Bernard Mourrain and Nelly VillamizarG1-smooth splines on quad meshes with 4-split macro-patch elements. (Preprint)Published
19A. Blidia, B. Mourrain, Gang XuGeometrically smooth spline bases for data fitting and simulation. (Preprint)Published
20Alvaro Javier Fuentes Suárez and Evelyne HubertConvolution surfaces with varying radius:
Formulae for skeletons made of arcs of circles and line segments
. (Preprint)
21 Alvaro Javier Fuentes Suárez and Evelyne Hubert Scaffolding skeletons using spherical Voronoi diagrams. (Preprint)Published
22 Alvaro Javier Fuentes Suárez and Evelyne Hubert Scaffolding skeletons using spherical Voronoi diagrams: feasibility, regularity and symmetry . (Preprint)Published
23 Alvaro Javier Fuentes Suárez, Evelyne Hubert, Cédric Zanni Anisotropic convolution surfaces. (Preprint)Published
24Georg Grasegger, Jan Legersky, Josef SchichoGraphs with Flexible Labelings. (Preprint)
25Georg Grasegger, Jan Legerský, Josef SchichoGraphs with Flexible Labelings allowing Injective Realizations. (Preprint)Published
26Matteo Gallet, Georg Grasegger, Jan Legerský, Josef SchichoOn the existence of paradoxical motions of generically rigid graphs on the sphereSubmitted
27F. Patrizi, T. DokkenLinear dependence of LR-splines. DOI:,
28F. Patrizi, C. Manni, F. Pelosi, H. SpeleersLocally linearly independent LR B-splines and applications to quasi-interpolation and simulations , (Preprint)Submitted
29F. Patrizi, T. DokkenLinear dependence of bivariate Minimal Support and Locally Refined B-splines over LR-meshes., (Preprint)Published
30M. S. Floater, F. PatriziTransfinite mean value interpolation over polygons , (Preprint)Published
31A. Raffo, T. Dokken, O. BarrowcloughPiecewise approximate implicitization. In preparation
32A. Raffo, O. Barrowclough, H. Dahl, T. Dokken, M. Floater, G. MuntinghLocally refined approximate implicitisation for design and manufacturing. Published
33A. Raffo, O. Barrowclough, G. Muntingh, V. SkyttA machine learning approach to reverse engineering based on clustering and approximate implicitisation. Published
34A. Raffo, O. Barrowclough, G. MuntinghReverse engineering of CAD models via clustering and approximate implicitization, (Preprint)Published
35A. Raffo, S. BiasottiData-driven quasi-interpolant spline surfaces for point cloud approximation, (Preprint)Published
36A. Raffo, T. Dokken Piecewise approximate implicitization with prescribed conditions using tensor-product B-splines. Published
37A. Raffo, S. BiasottiWeighted Quasi Interpolant Spline Approximations: Properties and Applications.Submitted
38T. Katsoulis, X. Wang, P.D. KaklisA T-splines-based parametric modeller for computer-aided ship design. Ocean Engineering, vol.191, p. 1-17, 2019. , (Preprint) Published
39X. Wang, S. Chouliaras, P. Kaklis, A-A. Ginnis, C. Politis, K. KostasWave-Resistance Computation via CFD and IGA-BEM Solvers: A Comparative Study. Published
40M. Jimenez, C. Müller, H. PottmannDiscretizations of surfaces with constant ratio of principal curvatures, (Preprint)Published
41M. Jimenez, C. Müller, H. PottmannSurfaces of Revolution with an Affine-Linear Relation between the Principal Curvature RadiiIn preparation
42I. Emiris, K. Gavriil, and C. KonaxisInterpolation of syzygies for implicit matrix representationsPublished
43Konstantinos Gavriil, Alexander Schiftner, Helmut PottmannOptimizing B-spline surfaces for developability and paneling architectural freeform surfaces, (Preprint)Published
44Konstantinos Gavriil, Georg Muntingh, Oliver J. D. BarrowcloughVoid Filling of Digital Elevation Models with Deep Generative Models, (Preprint)
45Georg Grasegger, Jan LegerskýFlexRiLoG—A SageMath Package for Motions of Graphs.Published
46Sean Dewar, Georg Grasegger and Jan LegerskýComputing Animations of Linkages with Rotational Symmetry (Media Exposition).Published

PhD Theses of ARCADES ESRs

The following PhD Theses have been completed as of December 30th, 2019.


The ARCADES Book collects the project results of our ESRs. It contains the extended abstracts of the completed PhD Theses of the fellows. The book will be updated regularly to eventually include the abstracts of the theses of all 13 ARCADES ESRs. The full theses will be published in this page upon completion.

Final Open Workshop and Career Fair Booklet of abstracts

The Final Workshop booklet of abstracts collects the abstracts of the invited talks and ESR presentations given at our final network event.

Software development

  • Void Filling of Digital Elevation Models with Deep Generative Models. Author: K. Gavriil. Github: konstantg/dem-fill.
  • An Isogeometrically enhanced Boundary Element Method (IGA-BEM) solver for simulating the flow around lifting flows developed in C++ and running in parallel using OpenMPI. Author: S. Chouliaras
  • JA T-splines-based parametric modeler for computer-aided ship design for tanker and container ships. Author:T. Katsoulis.
  • Enhancement of a T-splines-based surface modeler with a method for assigning parameter values to a mesh with extraordinary points and ensures their compatibility, i.e. non overlapping parameters for each parametric direction. Author: T. Katsoulis
  • Skelton: A C++ library for the modeling with convolution surfaces. The library includes the anisotropic convolution formulation and the scaffolding algorithm. It supports line segments and arcs of circle as modeling primitives with integrated handling of G1 skeletal curves composed of such primitives. Authors: A. Fuentes Suarez, E. Hubert, P.
  • Keda. With this library two plugins were developed: one for the 3D printing software IceSL ( developed by MFX team at Loria laboratories, and another for the modeling tool Axl ( developed by AROMATH team at Inria Sophia Antipolis.
  • PySkelton: Python module implementing the scaffolding algorithm and anisotropic convolution. User friendly tool that integrates the latest developments in research. Author: A. Fuentes Suarez.
  • FlexRiLoG : SageMath package for studying flexible and rigid labelings of graphs. Author: J. Legersky.

Acknowledgements / EU funding visibility

Any dissemination of results (in any form, including electronic) must:

  1. display the EU emblem and
  2. include the following text:
    • For communication activities: “This project has received funding from the European Union’s
      Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant
      agreement No 675789
    • For infrastructure, equipment and major results: “This [infrastructure][equipment][insert type
      of result] is part of a project that has received funding from the European Union’s Horizon
      2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 675789

For more information on how to acknowledge EU funding see the : H2020 online manual