Modeling general topology free-form surfaces in 3D  Page description

Help  Print 
Back »

 

Details of project

 
Identifier
124727
Type K
Principal investigator Várady, Tamás
Title in Hungarian Általános topológiájú szabadformájú felületek modellezése 3D-ben
Title in English Modeling general topology free-form surfaces in 3D
Keywords in Hungarian számítógéppel segített geometriai tervezés, szabadformájú felületek, általános topológiájú görbehálózatok
Keywords in English computer aided geometric design, free-form surfaces, general topology curve networks
Discipline
Automation and Computer Science (Council of Physical Sciences)90 %
Ortelius classification: Automation
Information Technology (Council of Physical Sciences)10 %
Ortelius classification: Informatics
Panel Informatics and Electrical Engineering
Department or equivalent Department of Control Engineering and Information Technology (Budapest University of Technology and Economics)
Participants Salvi, Péter
Umenhoffer, Tamás
Vaitkus, Márton
Starting date 2017-10-01
Closing date 2023-07-31
Funding (in million HUF) 20.500
FTE (full time equivalent) 8.90
state running project





 

Final report

 
Results in Hungarian
Az általános topológiájú szabadformájú felületek modellezése egy fontos fejezetet képvisel a számítógéppel segített geometriai tervezésben. Új matematikai reprezentációkat és algoritmusokat fejlesztettünk ki és ezeket különböző alkalmazásokban hasznosítottuk. Több megoldást javasoltunk annak érdekében, hogy általánosítsuk a jól ismert tenzorszorzat alapú Bézier és B-spline felületeket, és jelentősen kitágítottuk a modellezhető, n-oldalú felületek körét azáltal, hogy görbült határokkal és belső lyukakkal rendelkező doméneket alkalmaztunk, kiváltva a hagyományos konvex poligonális doméneken alapuló megoldásokat. További fontos eredményeink közé soroljuk az implicit egyenleteken alapuló n-oldalú felületek modellezését és alkalmazását. Érdekes approximáló algoritmusokat fejlesztettünk ki trimmmelt (visszavágott) felületekhez is. Kidolgoztunk egy új görbe és felületreprezentációt, amely az ún proximity paraméter segítségével képes szabályozni a felületek kontrollpontjainak erősségét. Munkánk sikerét elsősorban a 12 impakt faktoros publikáció fémjelzi, amelyek a tématerület vezető folyóirataiban jelentek meg (CAGD, C & G, CAD Journal, CAD and Applications, etc.). Több nemzetközi (5 cikk), hazai (9 cikk) és egyetemközi (9 cikk) konferencán adtunk elő, az eredmények a konferencia kiadványokban jelentek meg. A projekt során három doktorandusz hallgató védte meg disszertációját, a tézisekben foglalt eredmények szorosan kapcsolódnak a jelen kutatáshoz.
Results in English
General topology free-form surface modelling is an important chapter in Computer Aided Geometric Design. We have been searching for novel mathematical equations, representations, algorithms and applications. We have managed to elaborate various multi-sided generalizations of the well-known tensor product Bézier and Bspline surfaces, and significantly extended the scope of these surfaces by introducing curved, multi-sided domains with holes to replace convex polygonal domains of the conventional schemes. Further important contributions include developing and utilizing multi-sided surfaces given in implicit form. We have developed techniques for approximating trimmed surfaces and introduced a new curve and surface class, where it is possible to control the effect of control points by a proximity parameter. The success of our activity can be measured by 12 publications in leading technical journals with impact factor (CAGD, C & G, CAD Journal, CAD and Applications, etc.). We have also participated at several international (5 papers), domestic (9 papers) and local university (9 papers) conferences publishing results in conference proceedings. During this project three doctorand students have completed their dissertations, where their theses are strongly associated with our research.
Full text https://www.otka-palyazat.hu/download.php?type=zarobeszamolo&projektid=124727
Decision
Yes





 

List of publications

 
István Kovács, Tamás Várady: P-Bézier and P-Bspline curves – new representations with proximity control, COMPUTER AIDED GEOMETRIC DESIGN (62), pp. 117-132, 2018
István Kovács, Tamás Várady: Approximating point data by P-Bézier curves, Workshop on the Advances of Information Technology: WAIT, BME IIT, pp. 67-71, 2018
István Kovács, Tamás Várady: Favorable approximating properties of the P-Bézier basis, Ninth Hungarian Conference on Computer Graphics and Geometry, MTA SZTAKI, pp. 10-15, 2018
Péter Salvi, Tamás Várady: Multi-sided Bézier surfaces over concave polygonal domains, COMPUTERS & GRAPHICS-UK, (74): pp. 56-65., 2018
Péter Salvi, Tamás Várady, Kenjiro T Miura: Approximating Point Clouds by Generalized Bézier Surfaces, Workshop on the Advances of Information Technology: WAIT, BME IIT, pp. 61-66, 2018
Márton Vaitkus, Tamás Várady: Parameterizing and extending trimmed regions for tensor-product surface fitting, COMPUTER-AIDED DESIGN, (104), pp. 125-140, 2018
Márton Vaitkus, Tamás Várady: Mesh Extension for Labeled Surface Fitting, Ninth Hungarian Conference on Computer Graphics and Geometry, MTA SZTAKI, pp. 1-9, 2018
Márton Vaitkus, Tamás Várady: A Labeling Algorithm for Trimmed Surface Fitting, Proceedings of CAD'18, Paris, pp. 86-90, 2018
Tamás Umenhoffer: An anatomical aortic root model based on N-sided patches for elastic simulation, Ninth Hungarian Conference on Computer Graphics and Geometry, MTA SZTAKI, pp. 143-149, 2018
István Kovács, Tamás Várady: P-Bézier and P-Bspline curves – new representations with proximity control, COMPUTER AIDED GEOMETRIC DESIGN (62), pp. 117-132, 2018
Péter Salvi, Tamás Várady: Multi-sided Bézier surfaces over concave polygonal domains, COMPUTERS & GRAPHICS-UK, (74): pp. 56-65., 2018
Márton Vaitkus, Tamás Várady: Parameterizing and extending trimmed regions for tensor-product surface fitting, COMPUTER-AIDED DESIGN, (104), pp. 125-140, 2018
Márton, Vaitkus: Notes On Curve Network Interpolation, In: Proceedings of the Workshop on the Advances of Information Technology: WAIT, BME IIT, pp 77-86, 2019
Márton, Vaitkus: Positive Geometries for Barycentric Interpolation, In: C. Beccari; X. Li; T. Ju; G. Patanè (Eds.), IGS 2019 Poster Proceedings, pp 62-65, 2019
Márton, Vaitkus ; Tamás, Várady: A Labeling Algorithm for Trimmed Surface Fitting, COMPUTER-AIDED DESIGN AND APPLICATIONS 16 : 4, pp. 720-732, 2019
Péter Salvi: G1 hole filling with S-patches made easy, In: Proc. of 12th Conf. of the Hungarian Association for Image Processing and Pattern Recognition, KÉPAF, 2019
Péter Salvi: On the CAD-compatible conversion of S-Patches, In: Proceedings of the Workshop on the Advances of Information Technology: WAIT, BME IIT, pp 72-76, 2019
István Kovács, Tamás Várady: Constrained fitting with free-form curves and surfaces (submitted), COMPUTER AIDED DESIGN (Elsevier), 2020
Tamás Várady, Péter Salvi, Márton Vaitkus, Ágoston Sipos: Multi-sided Bézier surfaces over curved, multi-connected domains (submitted), COMPUTER AIDED GEOMETRIC DESIGN, 2020
István Kovács, Tamás Várady: Constrained fitting with free-form curves and surfaces, COMPUTER AIDED DESIGN (Elsevier), Paper: 102816, 2020
Tamás Várady, Péter Salvi, Márton Vaitkus, Ágoston Sipos: Multi-sided Bézier surfaces over curved, multi-connected domains, COMPUTER AIDED GEOMETRIC DESIGN, paper: 101828, 2020
Salvi Péter: A multi-sided generalization of the C0 Coons patch, Proceedings of the Workshop on the Advances of Information Technology, BME IIT,, 2020
Salvi, Péter ; Várady, Tamás ; Rockwood, Alyn: Notes on the CAD-Compatible Conversion of Multi-Sided Surfaces, Proceedings of the CAD'20 Conference, pp. 11-15,, 2020
Salvi, Péter ; Várady, Tamás ; Rockwood, Alyn: Notes on the CAD-Compatible Conversion of Multi-Sided Surfaces, COMPUTER-AIDED DESIGN AND APPLICATIONS 18 : 1, pp. 156-169., 2021
Sipos, Ágoston: A Gn rational spline with an algebraic distance field, Proceedings of the Workshop on the Advances of Information Technology, BME IIT, 2020
Sipos, Ágoston ; Várady, Tamás ; Salvi, Péter ; Vaitkus, Márton: Multi-sided implicit surfacing with I-patches, COMPUTERS & GRAPHICS-UK 90 pp. 29-42., 2020
Ágoston Sipos,Tamás Várady, Péter Salvi: Approximating Triangular Meshes by Implicit, Multi-Sided Surfaces, Proceedings of the CAD Conference ,Ed. L.A. Piegl, 2021
Márton Vaitkus, Tamás Várady, Péter Salvi, Ágoston Sipos: Multi-sided B-spline surfaces over curved, multi-connected domains, COMPUTER AIDED GEOMETRIC DESIGN (0167-8396 ): 89 Paper 102019., 2021
Péter Salvi, Tamás Várady: Proximity by multiplicity, Proceedings of the Workshop on the Advances in Information Technology, BME IIT, 2022
Ágoston Sipos, Tamás Várady, Péter Salvi: Implicit representations for multi-sided surface patches, X. Magyar Számítógépes Grafika és Geometria Konferencia, 2022
Ágoston Sipos, Tamás Várady, Péter Salvi: Approximating Triangular Meshes by Implicit, Multi-Sided Surfaces, COMPUTER-AIDED DESIGN AND APPLICATIONS 19 : 5 pp. 1015-1028, 2022
Márton Vaitkus, Tamás Várady, Péter Salvi: Generalized B-spline surfaces over curved domains, X. Magyar Számítógépes Grafika és Geometria Konferencia, 2022
Jázmin Szörfi, Tamás Várady: Polyhedral design with concave and multi-connected faces, X. Magyar Számítógépes Grafika és Geometria Konferencia, 2022
Ágoston Sipos: A generalization of tangent-based implicit curves, Proceedings of the Workshop on the Advances in Information Technology, BME IIT, 2022
Márton Vaitkus: Explorations in Differential-based Geometric Modeling and Control Theory, Proceedings of the Workshop on the Advances in Information Technology, BME IIT, 2022
Sipos, Ágoston: Corner-based implicit patches, 13th Conf. of PhD Students in Computer Science : Short Papers, SZeged, 2022
Sipos, Ágoston: Corner-Based Implicit Patches, ACTA CYBERNETICA 0324-721X 2676-993X, Special Issue, 13th Conf. of PhD Students, 2023
Péter Salvi, Patrik Gál: Tessellation of Zheng-Ball patches, Procs. of the Workshop on the Advances of Information Technology 2023, BME IIT, 2023
Peter Salvi: Intuitive interior control for multi-sided patches with arbitrary boundaries, CAD'23 Proceedings, pp. 26-30., 2023
Peter Salvi: Intuitive interior control for multi-sided patches with arbitrary boundaries, COMPUTER-AIDED DESIGN AND APPLICATIONS 21 : 1 pp. 143-154. , 12 p. (2024), 2024
Péter Salvi, Márton Vaitkus, Tamás Várady: Constrained modeling of multi-sided patches, COMPUTERS & GRAPHICS-UK 114 pp. 86-95. , 10 p. (2023), 2023





 

Events of the project

 
2018-12-03 10:40:07
Résztvevők változása




Back »