Michael Barton

Group Leader. Ikerbasque Research Associate

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Information of interest

Michael Barton received his Ph.D. degree in computational and applied mathematics from the Charles University in Prague, Faculty of Mathematics and Physics, in 2007. He worked as a Postdoctoral Fellow and Research Scientist at JKU Linz, Technion, and KAUST. His research interests span geometric modelling and manufacturing, computer aided design, and isogeometric analysis. 

He serves as an associate editor of Computer-aided Design (CAD), Graphical Models (GMOD), and Computer Graphics Forum (CGF) and is a member of a scientific programme committee at the Eurographics Symposium on Geometry Processing (SGP), Solid and Physical Modeling (SPM), and Geometric Modeling and Processing (GMP). 

In 2019, he received the Young Investigator Award from the Solid Modeling Association and Horizon 2020 FET-OPEN grant on Analysis, Design, and Manufacturing using Microstructures (ADAM^2). He was selected in the Ikerbasque Group Leader call in 2019.

  • Numerical quadrature for Gregory quads 

    Zhou, J.; Barendrecht, P.; Barton, M.Autoridad BCAM; Kosinka, J. (2023)
    We investigate quadrature rules in the context of quadrilateral Gregory patches, in short Gregory quads. We provide numerical and where possible symbolic quadrature rules for the space spanned by the twenty polynomial/rational ...
  • On inverse construction of isoptics and isochordal-viewed curves 

    Rochera, D.Autoridad BCAM; Barton, M.Autoridad BCAM (2023)
    Given a regular closed curve α in the plane, a $\phi$-isoptic of $\alpha$ is a locus of points from which pairs of tangent lines to $\alpha$ span a fixed angle $\phi$. If, in addition, the chord that connects the two points ...
  • Geometry and tool motion planning for curvature adapted CNC machining 

    Barton, M.Autoridad BCAM; Bizzarri, M.; Rist, F.; Sliusarenko, O.Autoridad BCAM; Pottmann, H. (2021)
    CNC machining is the leading subtractive manufacturing technology. Although it is in use since decades, it is far from fully solved and still a rich source for challenging problems in geometric computing. We demonstrate ...
  • Blisk blades manufacturing technologies analysis 

    Calleja, A.; Gonzalez, H.; Polvorosa, R.; Gomez, G.; Ayesta, I.; Barton, M.Autoridad BCAM; de Lacalle, N. (2019-06)
    The paper presents blisk blades manufactured by different manufacturing processes. In this sense, different milling trajectories are presented, and, super abrasive machining strategies and EDM technologies are also tested. ...
  • Accessibility for Line-Cutting in Freeform Surfaces 

    van Sosin, B.; Barton, M.Autoridad BCAM; Elber, G. (2019-04-26)
    Manufacturing techniques such as hot-wire cutting, wire-EDM, wire-saw cutting, and flank CNC machining all belong to a class of processes called line-cutting where the cutting tool moves tangentially along the reference ...
  • Gaussian quadrature for $C^1$ cubic Clough-Tocher macro-triangles 

    Kosinka, J.; Barton, M.Autoridad BCAM (2018-10-31)
    A numerical integration rule for multivariate cubic polynomials over n-dimensional simplices was designed by Hammer and Stroud [14]. The quadrature rule requires n + 2 quadrature points: the barycentre of the simplex and ...
  • Highly-accurate 5-axis flank CNC machining with conical tools 

    Calleja, A.; Bo, P.; González, H.; Barton, M.Autoridad BCAM; Lopez de Lacalle, N. (2018-04)
    A new method for $5$-axis flank computer numerically controlled (CNC) machining using a predefined set of tappered ball-end-mill tools (aka conical) cutters is proposed. The space of lines that admit tangential motion of ...
  • Super Abrasive Machining of Integral Rotary Components Using Grinding Flank Tools 

    González, H.; Calleja, A.; Pereira, O.; Ortega, N.; Lopez de Lacalle, N.; Barton, M.Autoridad BCAM (2018-01-01)
    Manufacturing techniques that are applied to turbomachinery components represent a challenge in the aeronautic sector. These components require high resistant super-alloys in order to satisfy the extreme working conditions ...
  • Optimally refined isogeometric analysis 

    Garcia, D.; Barton, M.Autoridad BCAM; Pardo, D.Autoridad BCAM (2017-06)
    Performance of direct solvers strongly depends upon the employed discretization method. In particular, it is possible to improve the performance of solving Isogeometric Analysis (IGA) discretizations by introducing multiple ...
  • Towards optimal advection using stretch-maximizing stream surfaces 

    Barton, M.Autoridad BCAM; Kosinka, J. (2017-03-01)
    We investigate a class of stream surfaces that expand in time as much as possible. Given a vector field, we look for seed curves that locally propagate in time in a stretch-maximizing manner, i.e., curves that infinitesimally ...

More information

CL file

Datasets (Zenodo) for the paper "Geometry and tool motion planning for curvature adapted CNC machining"

Authors: Michael Barton, Michal Bizzarri, Oleksii Sliusarenko, Florian Rist, Helmut Pottmann

License: Zenodo

CL file

Datasets (Zenodo) for the paper "Manufacturing of screw rotors via 5-axis double-flank CNC machining"

Authors: Michael Barton, Michal Bizzarri

License: Zenodo