learninG, pRocessing, And oPtimising shapES

Deliverables

Report on the Network's Final Open Conference for dissemination and the Career Fair.

2nd research report on WP3: results and transfer

Report on first research results and how they may be relevant to industrial applications especially through our industrial member and partners

3rd research report on WP2: scientific dissemination

Report on overall research and scientific contribution of the work conducted within GRAPES and, in particular, within the 15 PhD theses and how they may be advance isogeometry and geometric applications

Doctoral Schools

Report on the two Network wide Doctoral Schools focusing on specialised scientific training through short courses, tutorials, and seminars.

Communication & public engagement plan

Comprehensive Communication and public engagement plan with special focus to industrial audiences

Learning Weeks

Report on the complementary training (Learning Weeks, local courses, seminars)

2nd research report on WP2: results and transfer

Report on first research results and how they may be relevant to industrial applications especially through our industrial member and partners

3rd research report on WP3: scientific dissemination

Report on overall research and scientific contribution of the work conducted within GRAPES and, in particular, within the 15 PhD theses and ist impact on machine learning of geometric objects

2nd research report on WP1: results and transfer

Report on first research results and how they may be relevant to industrial applications especially through our industrial member and partners

1st research report on WP2: state-of-the-art

Survey existing work and open problems and position the planned work within GRAPES to the stateoftheart and the major scientific and research prospects today

3rd research report on WP1: scientific dissemination

Report on overall research and scientific contribution of the work conducted within GRAPES and, in particular, within the 15 PhD theses and how they may fertilize the community of geometric modeling and geometric computing

1st research report on WP1: state-of-the-art

Survey existing work and open problems and position the planned work within GRAPES to the stateoftheart and the major scientific and research prospects today

Communication & public engagement report

Report on communication / public engagement activities

Software & Industrial Workshops and ESR Days Workshop

Report on the two Software & Industrial Workshops offering intersectoral training in technological aspects, and strong links with the industry, and the ESR Days collocated with Software and Industrial Workshop~2 and organised by the ESRs, with assistance from the Coordinator and the organisers of SIW2

1st research report on WP3: state-of-the-art

Survey existing work and open problems and position the planned work within GRAPES to the stateoftheart and the major scientific and research prospects today

GRAPES Webportal

Comprehensive webportal presenting the ambition and vision of GRAPES in a manner understandable to nonspecialists Initially it will include the descriptions of the PhDprojects and the calls for the corresponding ESR positions Later it publishes announcements of the Networkwide events pointers to all publications public reports and benchmark data public talks video lectures and popularised material

Publications

Machine Learning-Based Rockfalls Detection with 3D Point Clouds, Example in the Montserrat Massif (Spain)

Author(s): Laura Blanco; David García-Sellés; Marta Guinau; Thanasis Zoumpekas; Anna Puig; Maria Salamó; Oscar Gratacós; Josep Anton Muñoz; Marc Janeras; Oriol Pedraza
Published in: Remote Sensing for Characterization, Monitoring and Early Warning of Natural and Engineered Slopes, Issue 4, 2022, ISSN 2072-4292
Publisher: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/rs14174306

The Canny-Emiris conjecture for the sparse resultant

Author(s): D'Andrea, Carlos; Jeronimo, Gabriela; Sombra, Martin
Published in: Foundations of Computational Mathematics, Issue 23, 2023, Page(s) 741–801, ISSN 1615-3375
Publisher: Springer Verlag
DOI: 10.1007/s10208-021-09547-3

Mixed Subdivisions Suitable for the Greedy Canny–Emiris Formula

Author(s): Carles Checa; Ioannis Z. Emiris
Published in: Math.Comput.Sci. 18, 3, Issue 18,3, 2024, ISSN 1661-8270
Publisher: Birkhauser Verlag
DOI: 10.1007/s11786-024-00577-y

Maximally smooth cubic spline quasi-interpolants on arbitrary triangulations

Author(s): Michelangelo Marsala, Carla Manni, Hendrik Speleers
Published in: Computer Aided Geometric Design, Issue 112, 2024, Page(s) 102348, ISSN 0167-8396
Publisher: Elsevier BV
DOI: 10.1016/j.cagd.2024.102348

Shape control tools for periodic Bézier curves

Author(s): Andriamahenina Ramanantoanina; Kai Hormann
Published in: Computer Aided Geometric Design, Issue 5, 2023, ISSN 0167-8396
Publisher: Elsevier BV
DOI: 10.1016/j.cagd.2023.102193

G1-smooth Biquintic Approximation of Catmull-Clark Subdivision Surfaces

Author(s): Michelangelo Marsala; Angelos Mantzaflaris; Bernard Mourrain
Published in: Computer Aided Geometric Design, Issue 6, 2022, ISSN 0167-8396
Publisher: Elsevier BV
DOI: 10.1016/j.cagd.2022.102158

Geometric Moment-Dependent Global Sensitivity Analysis without Simulation Data: Application to Ship Hull Form Optimisation

Author(s): Shahroz Khan; Panagiotis Kaklis; Andrea Serani; Matteo Diez
Published in: Computer-Aided Design, Issue 1, 2022, Page(s) 103339, ISSN 0010-4485
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.cad.2022.103339

Shape-supervised Dimension Reduction: Extracting Geometry and Physics Associated Features with Geometric Moments

Author(s): Shahroz Khan; Panagiotis Kaklis; Andrea Serani; Matteo Diez; Konstantinos Kostas
Published in: Computer-Aided Design, Issue 8, 2022, ISSN 0010-4485
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.cad.2022.103327

Using algebraic geometry to reconstruct a darboux cyclide from a calibrated camera picture

Author(s): Hoxhaj, Eriola; Menjanahary, Jean Michel; Schicho, Josef
Published in: Applicable Algebra in Engineering Communication and Computing, Issue 12, 2023, ISSN 1432-0622
Publisher: Springer Verlag
DOI: 10.1007/s00200-023-00600-y

Effective Early Stopping of Point Cloud Neural Networks

Author(s): Thanasis Zoumpekas; Maria Salamó; Anna Puig
Published in: MDAI 2022, Issue LNAI,volume 13408, 2022, Page(s) 156–167, ISSN 2193-1801
Publisher: Springer Science and Business Media Deutschland GmbH
DOI: 10.1007/978-3-031-13448-7_13

Tchebycheffian B-splines in isogeometric Galerkin methods

Author(s): Krunal Raval; Carla Manni; Hendrik Speleers
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 403, 2023, Page(s) 115648, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2022.115648

G1 spline functions for point cloud fitting

Author(s): Michelangelo Marsala; Angelos Mantzaflaris; Bernard Mourrain
Published in: Applied Mathematics and Computation, Issue 460, 2024, ISSN 0096-3003
Publisher: Elsevier BV
DOI: 10.1016/j.amc.2023.128279

Rethinking Design and Evaluation of 3D Point Cloud Segmentation Models

Author(s): Thanasis Zoumpekas; Maria Salamó; Anna Puig
Published in: Remote Sensing - Special Issue Semantic Segmentation Algorithms for 3D Point Clouds, Issue 14 (23), 2022, Page(s) 6049, ISSN 2072-4292
Publisher: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/rs14236049

Tri-linear birational maps in dimension three

Author(s): Laurent Busé, Pablo González-Mazón, Josef Schicho
Published in: Mathematics of Computation, Issue 92, 2023, Page(s) 1837-1866, ISSN 0025-5718
Publisher: American Mathematical Society
DOI: 10.1090/mcom/3804

From regional sensitivity to intra-sensitivity for parametric analysis of free-form shapes : application to ship design

Author(s): Shahroz Khan, Panagiotis Kaklis
Published in: Advanced Engineering Informatics, Issue 49, 2021, Page(s) 101314, ISSN 1474-0346
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.aei.2021.101314

An intelligent framework for end‐to‐end rockfall detection

Author(s): Thanasis Zoumpekas; Anna Puig; Maria Salamó; David Garcı́a‐Sellés; Laura Blanco Nuñez; Marta Guinau
Published in: International Journal of Intelligent Systems, Issue Volume 36, Issue 11, 2021, Page(s) 6471- 6502, ISSN 1098-111X
Publisher: Wiley Periodicals, LLC
DOI: 10.1002/int.22557

Adaptive isogeometric analysis based on locally refined Tchebycheffian B-splines

Author(s): Krunal Raval, Carla Manni, Hendrik Speleers
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 430, 2024, Page(s) 117186, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2024.117186

New shape control tools for rational Bézier curve design

Author(s): Andriamahenina Ramanantoanina, Kai Hormann
Published in: Computer Aided Geometric Design, Issue 88, 2021, Page(s) 102003, ISSN 0167-8396
Publisher: Elsevier BV
DOI: 10.1016/j.cagd.2021.102003

Machining tool identification utilizing temporal 3D point clouds

Author(s): Thanasis Zoumpekas; Alexander Leutgeb; Anna Puig; Maria Salamó
Published in: Journal of Intelligent Manufacturing, Issue 35, 2023, Page(s) 1221–1232, ISSN 0956-5515
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10845-023-02093-5

Generative vs. Non-Generative Models in Engineering Shape Optimization

Author(s): Zahid Masood; Muhammad Usama; Shahroz Khan; Konstantinos Kostas; Panagiotis D. Kaklis
Published in: Journal of Marine Science and Engineering, Issue 12, 2024, ISSN 2077-1312
Publisher: MDPI
DOI: 10.3390/jmse12040566

How to Reconstruct a Planar Map From its Branching Curve

Author(s): Hoxhaj, Eriola; Schicho, Josef
Published in: Mathematics of Computation, Issue 93,349, 2024, ISSN 0025-5718
Publisher: American Mathematical Society
DOI: 10.1090/mcom/3988

ShipHullGAN: A generic parametric modeller for ship hull design using deep convolutional generative model

Author(s): Shahroz Khan; Kosa Goucher-Lambert; Konstantinos Kostas; Panagiotis Kaklis
Published in: Computer Methods in Applied Mechanics and Engineering,, Issue 411, 2023, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2023.116051

How Does Agency Impact Human-AI Collaborative Design Space Exploration? A Case Study on Ship Design With Deep Generative Models

Author(s): Khan, Shahroz; Kaklis, Panagiotis; Goucher-Lambert, Kosa
Published in: International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Issue Volume 3B: 49th Design Automation Conference (DAC), 2023, ISBN 978-0-7918-8731-8
Publisher: American Society of Mechanical Engineers
DOI: 10.1115/detc2023-112570

Physics-Informed Feature-to-Feature Learning for Design-Space Dimensionality Reduction in Shape Optimisation

Author(s): Shahroz Khan, Andrea Serani, Matteo Diez and Panagiotis Kaklis
Published in: AIAA Scitech 2021 Forum, 2021, ISBN 9781624106095
Publisher: American Institute of Aeronautics and Astronautics Inc
DOI: 10.2514/6.2021-1235

PartNeRF: Generating Part-Aware Editable 3D Shapes without 3D Supervision

Author(s): Tertikas, Konstantinos; Paschalidou, Despoina; Pan, Boxiao; Park, Jeong Joon; Uy, Mikaela Angelina; Emiris, Ioannis Z.; Avrithis, Yannis; Guibas, Leonidas
Published in: CVPR 2023 - IEEE/CVF Conference on Computer Vision and Pattern Recognition, Issue 31, 2023, Page(s) 4466-4478, ISBN 979-8-3503-0130-4
Publisher: IEEE
DOI: 10.1109/cvpr52729.2023.00434

Mixed subdivisions suitable for the greedy Canny-Emiris formula

Author(s): Checa, Carles; Emiris, Ioannis Z.
Published in: ISSAC '22: Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation, Issue 3, 2022, Page(s) 283–291, ISBN 9781450386883
Publisher: Association for Computing Machinery
DOI: 10.1145/3476446.3536180

Benchmarking Deep Learning Models on Point Cloud Segmentation

Author(s): Thanasis Zoumpekas, Guillem Molina, Maria Salamó, Anna Puig
Published in: Proceedings of the 23rd International Conference of the Catalan Association for Artificial Intelligence., 2021, Page(s) 335 - 344, ISBN 978-1-64368-211-2
Publisher: IOS Press
DOI: 10.3233/faia210152

Supporting Expensive Physical Models With Geometric Moment Invariants to Accelerate Sensitivity Analysis for Shape Optimisation

Author(s): Shahroz Khan, Panagiotis Kaklis, Andrea Serani and Matteo Diez
Published in: AIAA SCITECH 2022 Forum, 2021
Publisher: American Institute of Aeronautics and Astronautics, Inc.
DOI: 10.2514/6.2022-2093

Accelerating simulation-driven optimisation of marine propellers using shape-supervised dimension reduction

Author(s): Khan, Shahroz; Gaggero, Stefano; Kaklis, Panagiotis; Vernengo, Giuliano; Villa, Diego
Published in: 10th Conference on Computational Methods in Marine Engineering, 2023
Publisher: MARINE 2023
DOI: 10.23967/marine.2023.119

BPNet: B\'ezier Primitive Segmentation on 3D Point Clouds

Author(s): Fu, Rao; Wen, Cheng; Li, Qian; Xiao, Xiao; Alliez, Pierre
Published in: IJCAI 2023 - 32nd International Joint Conference on Artificial Intelligence, Issue 35, 2023, Page(s) 754-762
Publisher: International Joint Conferences on Artificial Intelligence Organization
DOI: 10.24963/ijcai.2023/84

Neural Implicit Shape Editing using Boundary Sensitivity

Author(s): Berzins, Arturs; Ibing, Moritz; Kobbelt, Leif
Published in: The Eleventh International Conference on Learning Representations (ICLR 2023), 2023
Publisher: axriv.org
DOI: 10.48550/arxiv.2304.12951

Polyhedral Complex Extraction from ReLU Networks using Edge Subdivision

Author(s): Berzins, Arturs
Published in: 2023
Publisher: arxiv.org
DOI: 10.48550/arxiv.2306.07212

Weak $(1-\epsilon)$-nets for polynomial superlevel sets

Author(s): González-Mazón, Pablo; Hubard, Alfredo; Karasev, Roman
Published in: 2024
Publisher: https://inria.hal.science/
DOI: 10.48550/arxiv.2308.14060

Dupin Cyclides as a Subspace of Darboux Cyclides

Author(s): Menjanahary, Jean Michel; Vidunas, Raimundas
Published in: 2023
Publisher: arxiv.org
DOI: 10.48550/arxiv.2212.14015

Toric Sylvester forms

Author(s): Busé, Laurent; Checa, Carles
Published in: 2022
Publisher: arxiv.org
DOI: 10.48550/arxiv.2209.11281

Geometric Moment-Dependent Sensitivity Analysis for Shape Optimisation Without Simulation Data: Application to Ship Design

Author(s): Shahroz Khan, Panagiotis Kaklis, Andrea Serani, Matteo Diez
Published in: 2021
Publisher: SSRN
DOI: 10.2139/ssrn.3987061

Deliverables

Publications

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