Rezultaty Other (8) Software and Industrial Workshops Software and Industrial Workshop I (Month 21). Software and Industrial Workshop II (Month 36). ARDACDES Certificate and Doctoral degrees Awarding of ARCADES Certificate, recognized by all participants, listing all aspects of training undertaken by the ESR within ARCADES. Awarding of doctoral degrees of those ESRs who have completed their PhD Theses according to local rules. Learning Weeks Learning Week I (Month 15), Learning Week II (month 26) and Learning Week III (Month 42) for Network-wide Complementary skills training. Kickoff Workshop & Recruitment Event Network Kickoff workshop, and Recruitment event. Advertisement of ESR openings Advertisement of ESR positions and the recruitment event using the project's and the Euraxess webportals, emailing lists and social networks, and printed material such as posters, leaflets, etc. Doctoral Schools and ESR workshop Doctoral School I (Month 9), Doctoral School II (Month 31), and Workshop (Month 31) organised by the ESRs. The latter two events are consecutive and co-located. All events are Network-wide. Final Open Conference, and Career Fair Open international Conference (WP6, Evolute) with emphasis on dissemination, and Career Fair (WP5, INRIA). Midterm Review Meeting Midterm review meeting. Documents, reports (11) 1st scientific advances report on WP1 1st scientific advances report: state of the art, research organisation and first results. Task 1.1 Adaptive algebraic representations (ESR1): New, adaptive and efficient implicit representation of parametric, and point-cloud models. Task 1.2 Locally refined approximate implicitisation (ESR9): Bivariate approximate implicitisation using LR B-splines. Task 1.3 Constraint formulation and computing with constraint varieties at interactive rates (ESR12): Interactive modelling with developable NURBS surfaces. Task 1.4 Constrained geometry for fabrication (ESR13): Computational design of pattern-like arrangements and support structures in equilibrium. 1st scientific advances report on WP2 1st scientific advances report: state of the art, research organisation and first results. Task 2.1 Refinement strategies for LR-splines (ESR8): First results on refinement strategies and linear independence. Task 2.2 Parametric modelling of complex shapes (ESR5): Analysis and construction of Gk splines on domains with arbitrary topology. Task 2.3 Integrating novel shape representations with Isogeometric Analysis (ESR11): CADfix-aligned T/LR-spline based IGA-BEM solver with applications in ship-system hydrodynamics. Task 2.4 Integration and evaluation of novel parametric modellers tools for design optimisation (ESR10): T-spline based parametric modellers that can handle smoothness, interpolation and shape-preservation constraints. Draft 1st Periodic report Report on advances in research, training, dissemination, and management. The basis for the midterm review. Research data This deliverable describes how the Project generates and/or collects research data and its policy towards providing open access to these data. Scientific Publications Publication of Final Conference proceedings (ARCADES Book). Benchmarks on representations of complex data: Chapters in ARCADES Book and Webportal. Journal publications, conference presentations, technical reports, prototype software. 1st scientific advances report on WP3 1st scientific advances report: state of the art, research organisation, and first results. Task 3.1 Control structures for motion design (ESR7): State of the art and performance comparisons of known approaches, possibly new approaches, if sufficiently developed, in motion design. Task 3.2 Skeleton-based design of surfaces (ESR6): Formulation and experimentation of topologically accurate convolution surfaces for skeletons made of arcs of circles and line segments. Task 3.3 Singularities and syzygies of parameterisations (ESR3): Familiarity with methods already known to compute invariants of parameterisations by exploiting syzygies and singularities, and implementations to use these ideas in an efficient and fast way. Task 3.4 Distance to NURBS curves and surfaces (ESR4): New method based on matrix representations for determining all the closest points to a single Bezier patch. Task 3.5 Path planning and workspace modelling (ESR2): Design of adaptive algebraic algorithms to model the workspace of mechanisms. Final project report Report on achievements and advances in all aspects of the project, namely research, training, dissemination, and management. 2nd scientific advances report on WP2 2nd scientific advances report: results and transfer. Task 2.1 Refinement strategies for LR-splines (ESR8): Refinement strategies for big data approximation. Task 2.2 Parametric modelling of complex shapes (ESR5): Extensions and applications of Gk-splines for modeling and simulation. Task 2.3 Integrating novel shape representations with Isogeometric Analysis (ESR11): 3D volumetric meshing of complex computational domains arising in ship hydrodynamic applications. Task 2.4 Integration and evaluation of novel parametric modellers tools for design optimisation (ESR10): T-spline based parametric modellers and their use for ship-system optimisation. 2nd scientific advances report on WP3 2nd scientific advances report: results and transfer. Task 3.1 Control structures for motion design (ESR7): New approaches in motion design and related aspects. Task 3.2 Skeleton-based design of surfaces (ESR6): Approximate parameterisation of topologically accurate convolution surfaces. Task 3.3 Singularities and syzygies of parameterisations (ESR3): Development of new algebro-geometrical connections between invariants of curves and surfaces and singularities of their parameterisations, and also implementation of them. Task 3.4 Distance to NURBS curves and surfaces (ESR4): New method for solving the closest point problem for a complete NURBS model and its application to surface fitting. Task 3.5 Path planning and workspace modelling (ESR2): Development of tools for path planning using sparse and motion polynomials. 1st progress report Detailing the project progress so far including all aspects (hiring situation, training, and management). 2nd scientific advances report on WP1 2nd scientific advances report: results and transfer. Task 1.1 Adaptive algebraic representations (ESR1): Exact and approximate implicitisation from different representations, using rational and numerical methods. Task 1.2 Locally refined approximate implicitisation (ESR9): 3-variate approximate implicitization using LR B-splines. Task 1.3 Constraint formulation and computing with constraint varieties at interactive rates (ESR12): Understanding fast projection onto constraint varieties using a simplified algebraic structure. Task 1.4 Constrained geometry for fabrication (ESR13): Computing constrained curves on surfaces related to manufacturing. Publikacje Peer reviewed articles (21) Graphs with Flexible Labelings Autorzy: Georg Grasegger, Jan Legerský, Josef Schicho Opublikowane w: Discrete & Computational Geometry, 2018, ISSN 0179-5376 Wydawca: Springer Verlag DOI: 10.1007/s00454-018-0026-9 Scaffolding skeletons using spherical Voronoi diagrams: Feasibility, regularity and symmetry Autorzy: A.J. Fuentes Suárez, E. Hubert Opublikowane w: Computer-Aided Design, Issue 102, 2018, Page(s) 83-93, ISSN 0010-4485 Wydawca: Pergamon Press Ltd. DOI: 10.1016/j.cad.2018.04.016 Regularity of bicyclic graphs and their powers Autorzy: Yairon Cid-Ruiz, Sepehr Jafari, Navid Nemati, Beatrice Picone Opublikowane w: Journal of Algebra and Its Applications, 2019, Page(s) 2050057, ISSN 0219-4988 Wydawca: World Scientific DOI: 10.1142/s0219498820500577 Optimizing B-spline surfaces for developability and paneling architectural freeform surfaces Autorzy: Konstantinos Gavriil, Alexander Schiftner, Helmut Pottmann Opublikowane w: Computer-Aided Design, Issue 111, 2019, Page(s) 29-43, ISSN 0010-4485 Wydawca: Pergamon Press Ltd. DOI: 10.1016/j.cad.2019.01.006 Multiplicity of the saturated special fiber ring of height two perfect ideals Autorzy: Yairon Cid-Ruiz Opublikowane w: Proceedings of the American Mathematical Society, Issue 148/1, 2020, Page(s) 59-70, ISSN 0002-9939 Wydawca: American Mathematical Society DOI: 10.1090/proc/14693 Bounding the degrees of a minimal μ-basis for a rational surface parametrization Autorzy: Yairon Cid-Ruiz Opublikowane w: Journal of Symbolic Computation, Issue 95, 2019, Page(s) 134-150, ISSN 0747-7171 Wydawca: Academic Press DOI: 10.1016/j.jsc.2019.02.003 Curved optimal delaunay triangulation Autorzy: Leman Feng, Pierre Alliez, Laurent Busé, Hervé Delingette, Mathieu Desbrun Opublikowane w: ACM Transactions on Graphics, Issue 37/4, 2018, Page(s) 1-16, ISSN 0730-0301 Wydawca: Association for Computing Machinary, Inc. DOI: 10.1145/3197517.3201358 Anisotropic convolution surfaces Autorzy: Alvaro Javier Fuentes Suarez, Evelyne Hubert, Cedric Zanni Opublikowane w: Computers & Graphics, Issue 82, 2019, Page(s) 106-116, ISSN 0097-8493 Wydawca: Pergamon Press Ltd. DOI: 10.1016/j.cag.2019.05.018 Implicit representations of high-codimension varieties Autorzy: Ioannis Z. Emiris, Christos Konaxis, Clément Laroche Opublikowane w: Computer Aided Geometric Design, Issue 74, 2019, Page(s) 101764, ISSN 0167-8396 Wydawca: Elsevier BV DOI: 10.1016/j.cagd.2019.07.003 On the maximal number of real embeddings of minimally rigid graphs in R 2 , R Autorzy: Evangelos Bartzos, Ioannis Z. Emiris, Jan Legerský, Elias Tsigaridas Opublikowane w: Journal of Symbolic Computation, 2019, ISSN 0747-7171 Wydawca: Academic Press DOI: 10.1016/j.jsc.2019.10.015 Graphs with flexible labelings allowing injective realizations Autorzy: Georg Grasegger, Jan Legerský, Josef Schicho Opublikowane w: Discrete Mathematics, 2019, Page(s) 111713, ISSN 0012-365X Wydawca: Elsevier BV DOI: 10.1016/j.disc.2019.111713 Implicitizing rational curves by the method of moving quadrics Autorzy: Laurent Busé, Clément Laroche, Fatmanur Yıldırım Opublikowane w: Computer-Aided Design, Issue 114, 2019, Page(s) 101-111, ISSN 0010-4485 Wydawca: Pergamon Press Ltd. DOI: 10.1016/j.cad.2019.05.019 The Rees algebra of parametric curves via liftings Autorzy: Teresa Cortadellas Benítez, David A. Cox, Carlos D'Andrea Opublikowane w: Journal of Pure and Applied Algebra, Issue 224/2, 2020, Page(s) 869-893, ISSN 0022-4049 Wydawca: Elsevier BV DOI: 10.1016/j.jpaa.2019.06.015 Transfinite mean value interpolation over polygons Autorzy: Michael S. Floater, Francesco Patrizi Opublikowane w: Numerical Algorithms, 2018, ISSN 1017-1398 Wydawca: Baltzer Science Publishers B.V. DOI: 10.1007/s11075-019-00849-w Void Filling of Digital Elevation Models With Deep Generative Models Autorzy: Konstantinos Gavriil, Georg Muntingh, Oliver J. D. Barrowclough Opublikowane w: IEEE Geoscience and Remote Sensing Letters, Issue 16/10, 2019, Page(s) 1645-1649, ISSN 1545-598X Wydawca: Institute of Electrical and Electronics Engineers DOI: 10.1109/LGRS.2019.2902222 Linear dependence of bivariate Minimal Support and Locally Refined B-splines over LR-meshes Autorzy: Francesco Patrizi, Tor Dokken Opublikowane w: Computer Aided Geometric Design, Issue 77, 2020, Page(s) 101803, ISSN 0167-8396 Wydawca: Elsevier BV DOI: 10.1016/j.cagd.2019.101803 G 1 -smooth splines on quad meshes with 4-split macro-patch elements Autorzy: Ahmed Blidia, Bernard Mourrain, Nelly Villamizar Opublikowane w: Computer Aided Geometric Design, Issue 52-53, 2017, Page(s) 106-125, ISSN 0167-8396 Wydawca: Elsevier BV DOI: 10.1016/j.cagd.2017.03.003 A T-splines-based parametric modeller for computer-aided ship design Autorzy: T. Katsoulis, X. Wang, P.D. Kaklis Opublikowane w: Ocean Engineering, Issue 191, 2019, Page(s) 106433, ISSN 0029-8018 Wydawca: Pergamon Press Ltd. DOI: 10.1016/j.oceaneng.2019.106433 Geometrically smooth spline bases for data fitting and simulation Autorzy: Ahmed Blidia, Bernard Mourrain, Gang Xu Opublikowane w: Computer Aided Geometric Design, Issue 78, 2020, Page(s) 101814, ISSN 0167-8396 Wydawca: Elsevier BV DOI: 10.1016/j.cagd.2020.101814 Discretizations of Surfaces with Constant Ratio of Principal Curvatures Autorzy: Michael R. Jimenez, Christian Müller, Helmut Pottmann Opublikowane w: Discrete & Computational Geometry, 2019, ISSN 0179-5376 Wydawca: Springer Verlag DOI: 10.1007/s00454-019-00098-7 Scaffolding skeletons using spherical Voronoi diagrams Autorzy: A.J. Fuentes Suárez, E. Hubert Opublikowane w: Electronic Notes in Discrete Mathematics, Issue 62, 2017, Page(s) 45-50, ISSN 1571-0653 Wydawca: Elsevier BV DOI: 10.1016/j.endm.2017.10.009 Other (14) A D-module approach on the equations of the Rees algebra Autorzy: Yairon Cid Ruiz Opublikowane w: J. Commut. Algebra, 2019 Wydawca: Rocky Mountain Mathematics Consortium Regularity and Gröbner bases of the Rees algebra of edge ideals of bipartite graphs Autorzy: Yairon Cid-Ruiz Opublikowane w: LE MATEMATICHE, Issue Vol. LXXIII (2018) – Fasc. II, 2018, Page(s) pp. 279–296 Wydawca: LE MATEMATICHE DOI: 10.4418/2018.73.2.4 Degree and birationality of multi-graded rational maps Autorzy: Busé , Laurent; Cid-Ruiz , Yairon; D 'andrea , Carlos Opublikowane w: Proc. Lond. Math. Soc. To appear, 2018 Wydawca: London Mathematical Society Minimal solutions of the rational interpolation problem Autorzy: Benitez, Teresa Cortadellas; D'Andrea, Carlos; Montoro, Eulalia Opublikowane w: Revista de la Unión Matemática Argentina, 2018 Wydawca: http://www.union-matematica.org.ar/ Classification of motions of the 3-connected Harary graph on 7 vertices Autorzy: Grasegger, Georg; Legerský, Jan; Schicho, Josef Opublikowane w: Issue 11, 2019 Wydawca: zenodo.org DOI: 10.5281/zenodo.3561921 Degree of rational maps via specialization Autorzy: Cid-Ruiz, Yairon; Simis, Aron Opublikowane w: 2019 Wydawca: http://arxiv.org/ Fibers of multi-graded rational maps and orthogonal projection onto rational surfaces Autorzy: Botbol, Nicolás; Busé, Laurent; Chardin, Marc; Yildirim, Fatmanur Opublikowane w: https://hal.inria.fr/hal-02112357, 2019 Wydawca: https://hal.inria.fr/ Reverse engineering of CAD models via clustering and approximate implicitization Autorzy: Raffo, Andrea; Barrowclough, Oliver J. D.; Muntingh, Georg Opublikowane w: 2018 Wydawca: http://arxiv.org/ Weighted Quasi Interpolant Spline Approximation of 3D point clouds via local refinement Autorzy: Raffo, Andrea; Biasotti, Silvia Opublikowane w: 2019 Wydawca: http://arxiv.org/ Weighted Quasi Interpolant Spline Approximations: Properties and Applications Autorzy: A. Raffo, S. Biasotti Opublikowane w: 2019 Wydawca: https://arxiv.org Adaptive refinement with locally linearly independent LR B-splines: Theory and Applications Autorzy: F. Patrizi, C. Manni, F. Pelosi, H. Speleers Opublikowane w: 2019 Wydawca: https://arxiv.org/abs/ On the existence of paradoxical motions of generically rigid graphs on the sphere Autorzy: M. Gallet, G. Grasegger, J. Legerský, J. Schicho. Opublikowane w: 2019 Wydawca: https://arxiv.org/abs/ "Source code and examples for the paper ""On the multihomogeneous Bézout bound on the number of embeddings of minimally rigid graphs""" Autorzy: Bartzos Evangelos; Schicho Josef Opublikowane w: 2019 Wydawca: https://zenodo.org/ DOI: 10.5281/zenodo.3542061 Interpolation of syzygies for implicit matrix representations Autorzy: Emiris, Ioannis; Gavriil, Konstantinos; Konaxis, Christos Opublikowane w: https://hal.inria.fr/hal-01421866, Issue 1, 2017 Wydawca: https://hal.inria.fr/ Conference proceedings (5) Wave-Resistance Computation via CFD and IGA-BEM Solvers: A Comparative Study Autorzy: X. Wang, S. Chouliaras, P. Kaklis, A-A. Ginnis, C. Politis, K. Kostas Opublikowane w: Proceedings of the 27th International Ocean & Polar Engineering Conference, Issue 4, 2017, ISBN 978-1-880653-97-5 Wydawca: International Society of Offshore and Polar Engineers (ISOPE) DOI: 10.5281/zenodo.1169033 Convolution Surfaces with Varying Radius: Formulae for Skeletons Made of Arcs of Circles and Line Segments Autorzy: Alvaro Javier Fuentes Suárez, Evelyne Hubert Opublikowane w: Research in Shape Analysis: WiSH2, Sirince, Turkey, June 2016, 2018, Page(s) 37-60, ISBN 978-3-319-77066-6 Wydawca: Springer International Publishing DOI: 10.1007/978-3-319-77066-6_3 On the Maximal Number of Real Embeddings of Spatial Minimally Rigid Graphs Autorzy: Evangelos Bartzos, Ioannis Z. Emiris, Jan Legerský, Elias Tsigaridas Opublikowane w: Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '18, 2018, Page(s) 55-62, ISBN 9781-450355506 Wydawca: ACM Press DOI: 10.1145/3208976.3208994 Animated Motions of Exceptional Flexible Instances of Generically Rigid Graphs Autorzy: Grasegger, Georg; Legerský, Jan; Schicho, Josef Opublikowane w: BridgesLinz 2019 Conference Proceedings, Issue 11, 2019 Wydawca: Tessellations Publishing DOI: 10.5281/zenodo.3518805 Matrix Representations by Means of Interpolation Autorzy: Ioannis Z. Emiris, Christos Konaxis, Ilias S. Kotsireas, Clément Laroche Opublikowane w: Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '17, 2017, Page(s) 149-156, ISBN 9781-450350648 Wydawca: ACM Press DOI: 10.1145/3087604.3087629 Thesis and dissertations (1) Modeling shapes with skeletons: scaffolds & anisotropic convolution Autorzy: Fuentes Suárez, Alvaro Javier Opublikowane w: Mathematics [math]. Université Côte D'Azur, 2019. English, 2019 Wydawca: https://hal.inria.fr/ Wyszukiwanie danych OpenAIRE... Podczas wyszukiwania danych OpenAIRE wystąpił błąd Brak wyników