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+34 946 567 842
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+34 946 567 842
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mbarton@bcamath.org
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 Computeraided 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 FETOPEN grant on Analysis, Design, and Manufacturing using Microstructures (ADAM^2). He was selected in the Ikerbasque Group Leader call in 2019.

On shape design and optimization of gerotor pumps
(202406)A gerotor pump is a twopiece mechanism where two rotational components, interior and exterior, engage each other via a rotational motion to transfer a fluid in a direction parallel to their rotational axes. A natural ...

On C0 and C1 continuity of envelopes of rotational solids and its application to 5axis CNC machining
(202310)We study the smoothness of envelopes generated by motions of rotational rigid bodies in the context of 5axis Computer Numerically Controlled (CNC) machining. A moving cutting tool, conceptualized as a rotational solid, ...

Solving boundary value problems via the Nyström method using spline Gauss rules
(20230801)We propose to use spline Gauss quadrature rules for solving boundary value problems (BVPs) using the Nyström method. When solving BVPs, one converts the corresponding partial differential equation inside a domain into the ...

Towards $G^1$continuous multistrip pathplanning for 5axis flank CNC machining of freeform surfaces using conical cutting tools
(202306)Existing flank milling pathplanning methods typically lead to tiny gaps or overlaps between neighboring paths, which causes artifacts and imperfections in the workpiece. We propose a new multistrip pathplanning method ...

Cloud benchmarking and performance analysis of an HPC application in Amazon EC2
(2023)Cloud computing platforms have been continuously evolving. Features such as the Elastic Fabric Adapter (EFA) in the Amazon Web Services (AWS) platform have brought yet another revolution in the High Performance Computing ...

Numerical quadrature for Gregory quads
(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 isochordalviewed curves
(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 ...

Constant probe orientation for fast contactbased inspection of 3D freeform surfaces using (3+2)axis inspection machines
(2023)A new probe optimization method for contact based (3+2)axis inspection machines is proposed. Given an inspection path of a stylus on a freeform surface, an optimal orientation of the stylus is computed such that (i) the ...

Constant probe orientation for fast contactbased inspection of 3D freeform surfaces using (3+2)axis inspection machines
(2023)A new probe optimization method for contact based (3+2)axis inspection machines is proposed. Given an inspection path of a stylus on a freeform surface, an optimal orientation of the stylus is computed such that (i) the ...

Screw rotor manufacturing via 5axis flank CNC machining using conical tools
(202212)We propose a new method for 5axis flank computer numerically controlled (CNC) machining of screw rotors using conical tools. The flanks of screw rotors consist of helical surfaces, which predetermines the motion of the ...

Machininginduced characteristics of microstructuresupported LPBFIN718 curved thin walls
(202207)The microstructuresupported design of engineering components is recently gaining attention due to their high strengthtoweight and high stiffnesstoweight properties. The present study investigates the hybrid manufacturing ...

Efficient 5axis CNC trochoidal flank milling of 3D cavities using customshaped cutting tools
(202205)A novel method for trochoidal flank milling of 3D cavities bounded by freeform surfaces is proposed. Existing 3D trochoidal milling methods use onmarket milling tools whose shape is typically cylindrical or conical, and ...

Curveguided 5axis CNC flank milling of freeform surfaces using customshaped tools
(202203)A new method for 5axis flank milling of freeform surfaces is proposed. Existing flank milling pathplanning methods typically use onmarket milling tools whose shape is cylindrical or conical, and is therefore not ...

On numerical solution of Fredholm and Hammerstein integral equations via Nystr\"{o}m method and Gaussian quadrature rules for splines
(202201)Nystr\"{o}m method is a standard numerical technique to solve Fredholm integral equations of the second kind where the integration of the kernel is approximated using a quadrature formula. Traditionally, the quadrature ...

Solving Boundary Value Problems Via the Nyström Method Using Spline Gauss Rules
(2022)We propose to use spline Gauss quadrature rules for solving boundary value problems (BVPs) using the Nyström method. When solving BVPs, one converts the corresponding partial differential equation inside a domain into the ...

5axis doubleflank CNC machining of spiral bevel gears via customshaped tools – Part II: physical validations and experiments
(202110)Recently, a new methodology for 5axis flank computer numerically controlled (CNC) machining, called doubleflank machining, has been introduced (see “5axis doubleflank CNC machining of spiral bevel gears via customshaped ...

Geometry and tool motion planning for curvature adapted CNC machining
(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 ...

The Construction of Conformingtoshape Truss Lattice Structures via 3D Sphere Packing
(202011)Truss lattices are common in a wide variety of engineering applications, due to their high ratio of strength versus relative density. They are used both as the interior support for other structures, and as structures on ...

Manufacturing of screw rotors via 5axis doubleflank CNC machining
(202011)We investigate a recently introduced methodology for 5axis flank computer numerically controlled (CNC) machining, called doubleflank milling [1]. We show that screw rotors are well suited for this manufacturing approach ...

Characterizing envelopes of moving rotational cones and applications in CNC machining
(202010)Motivated by applications in CNC machining, we provide a characterization of surfaces which are enveloped by a oneparametric family of congruent rotational cones. As limit cases, we also address ruled surfaces and their ...

SPM 2020 Editorial
(202007)

Reparameterization of ruled surfaces: toward generating smooth jerkminimized toolpaths for multiaxis flank CNC milling
(202005)This paper presents a novel jerk minimization algorithm in the context of multiaxis flank CNC machining. The toolpath of the milling axis in a flank milling process, a ruled surface, is reparameterized by a Bspline ...

Definition of tailor made cutting tools for machining of complex surfaces based on final surface shape
(2020)In this work a design methodology to define the best geometry of cutting tool for complex surfaces is defined, being based on the final part surface geometry. The manufacture of components with tailor made shaped tools, ...

Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for Bsplines
(20191214)Calabr{\`o} et al. [10] changed the paradigm of the mass and stiffness computation from the traditional elementwise assembly to a rowwise concept, showing that the latter one offers integration that may be orders of ...

5axis doubleflank CNC machining of spiral bevel gears via customshaped milling tools  Part I: modeling and simulation
(20191120)A new category of 5axis flank computer numerically controlled (CNC) machining, called \emph{doubleflank}, is presented. Instead of using a predefined set of milling tools, we use the shape of the milling tool as a free ...

Blisk blades manufacturing technologies analysis
(201906)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 LineCutting in Freeform Surfaces
(20190426)Manufacturing techniques such as hotwire cutting, wireEDM, wiresaw cutting, and flank CNC machining all belong to a class of processes called linecutting where the cutting tool moves tangentially along the reference ...

On initialization of milling paths for 5axis flank CNC machining of freeform surfaces with general milling tools
(20190327)We propose a pathplanning algorithm for 5axis flank CNC machining with general tools of varying curvature. Our approach generalizes the initialization strategy introduced for conical tools [Bo et al., 2017] to arbitrary ...

FREEFORM TOOLS DESIGN AND FABRICATION FOR FLANK SUPER ABRASIVE MACHINING (FSAM) NON DEVELOPABLE SURFACES
(2019)Manufacturing improvements are becoming a real need in industry. In order to satisfy these industrial requirements, they should be targeted in two different directions: new manufacturing processes and surface optimization ...

Gaussian quadrature for $C^1$ cubic CloughTocher macrotriangles
(20181031)A numerical integration rule for multivariate cubic polynomials over ndimensional simplices was designed by Hammer and Stroud [14]. The quadrature rule requires n + 2 quadrature points: the barycentre of the simplex and ...

Generalization of the Pythagorean Eigenvalue Error Theorem and its Application to Isogeometric Analysis
(20181013)This chapter studies the effect of the quadrature on the isogeometric analysis of the wave propagation and structural vibration problems. The dispersion error of the isogeometric elements is minimized by optimally blending ...

Efficient quadrature rules for subdivision surfaces in isogeometric analysis
(201810)We introduce a new approach to numerical quadrature on geometries defined by subdivision surfaces based on quad meshes in the context of isogeometric analysis. Starting with a sparse control mesh, the subdivision process ...

On numerical quadrature for $C^1$ quadratic PowellSabin 6split macrotriangles
(20180801)The quadrature rule of Hammer and Stroud [16] for cubic polynomials has been shown to be exact for a larger space of functions, namely the $C^1$ cubic CloughTocher spline space over a macrotriangle if and only if the ...

Highlyaccurate 5axis flank CNC machining with conical tools
(201804)A new method for $5$axis flank computer numerically controlled (CNC) machining using a predefined set of tappered ballendmill 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
(20180101)Manufacturing techniques that are applied to turbomachinery components represent a challenge in the aeronautic sector. These components require high resistant superalloys in order to satisfy the extreme working conditions ...

Automatic fitting of conical envelopes to freeform surfaces for flank CNC machining
(201710)We propose a new algorithm to detect patches of freeform surfaces that can be well approximated by envelopes of a rotational cone under a rigid body motion. These conical envelopes are a preferable choice from the ...

Dispersionminimizing quadrature rules for $C^1$ quadratic isogeometric analysis
(20170920)We develop quadrature rules for the isogeometric analysis of wave propagation and structural vibrations that minimize the discrete dispersion error of the approximation. The rules are optimal in the sense that they only ...

Optimally refined isogeometric analysis
(201706)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 ...

Gaussian quadrature rules for $C^1$ quintic splines with uniform knot vectors
(20170322)We provide explicit quadrature rules for spaces of $C^1$ quintic splines with uniform knot sequences over finite domains. The quadrature nodes and weights are derived via an explicit recursion that avoids numerical solvers. ...

Towards optimal advection using stretchmaximizing stream surfaces
(20170301)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 stretchmaximizing manner, i.e., curves that infinitesimally ...

GaussGalerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis
(20160701)We introduce Gaussian quadrature rules for spline spaces that are frequently used in Galerkin discretizations to build mass and stiffness matrices. By definition, these spaces are of even degrees. The optimal quadrature ...

Towards efficient 5axis flank CNC machining of freeform surfaces via fitting envelopes of surfaces of revolution
(20160630)We introduce a new method that approximates freeform surfaces by envelopes of oneparameter motions of surfaces of revolution. In the context of 5axis computer numerically controlled (CNC) machining, we propose a flank ...

Optimal quadrature rules for odddegree spline spaces and their application to tensorproductbased isogeometric analysis
(20160101)We introduce optimal quadrature rules for spline spaces that are frequently used in Galerkin discretizations to build mass and stiffness matrices. Using the homotopy continuation concept (Barton and Calo, 2016) that ...
CL file
Datasets (Zenodo) for the paper "Manufacturing of screw rotors via 5axis doubleflank CNC machining"
Authors: Michael Barton, Michal Bizzarri
License: Zenodo
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