Computing roots of polynomials by quadratic clipping. - Michael Barton 002; Bert Jüttler (Comput. Aided Geom. Des., 2007)

Construction of Rational Curves with Rational Rotation-Minimizing Frames via Möbius Transformations. - Michael Barton 002; Bert Jüttler; Wenping Wang 001 (MMCS, 2008)

Global Solutions of Well-Constrained Transcendental Systems Using Expression Trees and a Single Solution Test. - Maxim Aizenshtein; Michael Barton 002; Gershon Elber (GMP, 2010)

Topologically guaranteed univariate solutions of underconstrained polynomial systems via no-loop and single-component tests. - Michael Barton 002; Gershon Elber; Iddo Hanniel (Symposium on Solid and Physical Modeling, 2010)

Precise Hausdorff distance computation between polygonal meshes. - Michael Barton 002; Iddo Hanniel; Gershon Elber; Myung-Soo Kim (Comput. Aided Geom. Des., 2010)

Solving polynomial systems using no-root elimination blending schemes. - Michael Barton 002 (Comput. Aided Des., 2011)

Spiral fat arcs - Bounding regions with cubic convergence. - Michael Barton 002; Gershon Elber (Graph. Model., 2011)

Circular Arc Snakes and Kinematic Surface Generation. - Michael Barton 002; Ling Shi; Martin Kilian; Johannes Wallner 001; Helmut Pottmann (Comput. Graph. Forum, 2013)

Detection and reconstruction of freeform sweeps. - Michael Barton 002; Helmut Pottmann; Johannes Wallner 001 (Comput. Graph. Forum, 2014)

Exploring quadrangulations. - Chi-Han Peng; Michael Barton 002; Caigui Jiang; Peter Wonka (ACM Trans. Graph., 2014)

Convergence of Wachspress coordinates: from polygons to curved domains. - Jirí Kosinka; Michael Barton 002 (Adv. Comput. Math., 2015)

Precise gouging-free tool orientations for 5-axis CNC machining. - Yong-Joon Kim; Gershon Elber; Michael Barton 002; Helmut Pottmann (Comput. Aided Des., 2015)

Stretch-minimising stream surfaces. - Michael Barton 002; Jirí Kosinka; Victor M. Calo (Graph. Model., 2015)

Explicit Gaussian quadrature rules for C1 cubic splines with symmetrically stretched knot sequences. - Rachid Ait-Haddou; Michael Barton 002; Victor Manuel Calo (J. Comput. Appl. Math., 2015)

Towards efficient 5-axis flank CNC machining of free-form surfaces via fitting envelopes of surfaces of revolution. - Pengbo Bo; Michael Barton 002; Denys Plakhotnik; Helmut Pottmann (Comput. Aided Des., 2016)

Constrained multi-degree reduction with respect to Jacobi norms. - Rachid Ait-Haddou; Michael Barton 002 (Comput. Aided Geom. Des., 2016)

Convergence of barycentric coordinates to barycentric kernels. - Jirí Kosinka; Michael Barton 002 (Comput. Aided Geom. Des., 2016)

Gaussian quadrature for splines via homotopy continuation: Rules for C2 cubic splines. - Michael Barton 002; Victor Manuel Calo (J. Comput. Appl. Math., 2016)

Optimally refined isogeometric analysis. - Daniel García 002; Michael Barton 002; David Pardo (ICCS, 2017)

Gauss-Galerkin quadrature rules for quadratic and cubic spline spaces and their application to isogeometric analysis. - Michael Barton 002; Victor Manuel Calo (Comput. Aided Des., 2017)

Automatic fitting of conical envelopes to free-form surfaces for flank CNC machining. - Pengbo Bo; Michael Barton 002; Helmut Pottmann (Comput. Aided Des., 2017)

Towards optimal advection using stretch-maximizing stream surfaces. - Michael Barton 002; Jirí Kosinka (Comput. Aided Geom. Des., 2017)

Gaussian quadrature rules for C1 quintic splines with uniform knot vectors. - Michael Barton 002; Rachid Ait-Haddou; Victor Manuel Calo (J. Comput. Appl. Math., 2017)

Accessibility for Line-Cutting in Freeform Surfaces. - Boris van Sosin; Michael Barton 002; Gershon Elber (Comput. Aided Des., 2019)

On initialization of milling paths for 5-axis flank CNC machining of free-form surfaces with general milling tools. - Pengbo Bo; Michael Barton 002 (Comput. Aided Geom. Des., 2019)

On numerical quadrature for C1 quadratic Powell-Sabin 6-split macro-triangles. - Michael Barton 002; Jirí Kosinka (J. Comput. Appl. Math., 2019)

Gaussian quadrature for C1 cubic Clough-Tocher macro-triangles. - Jirí Kosinka; Michael Barton 002 (J. Comput. Appl. Math., 2019)

Reparameterization of Ruled Surfaces: Toward Generating Smooth Jerk-minimized Toolpaths for Multi-axis Flank CNC Milling. - Ali Hashemian; Pengbo Bo; Michael Barton 002 (Comput. Aided Des., 2020)

SPM 2020 Editorial. - Xin Li 003; Michael Barton 002; Saigopal Nelaturi (Comput. Aided Des., 2020)

Characterizing envelopes of moving rotational cones and applications in CNC machining. - Mikhail Skopenkov; Pengbo Bo; Michael Barton 002; Helmut Pottmann (Comput. Aided Geom. Des., 2020)

Efficient mass and stiffness matrix assembly via weighted Gaussian quadrature rules for B-splines. - Michael Barton 002; Vladimir Puzyrev; Quanling Deng; Victor M. Calo (J. Comput. Appl. Math., 2020)

Manufacturing of Screw Rotors Via 5-axis Double-Flank CNC Machining. - Michal Bizzarri; Michael Barton 002 (Comput. Aided Des., 2021)

The Construction of Conforming-to-shape Truss Lattice Structures via 3D Sphere Packing. - Boris van Sosin; Daniil Rodin; Hanna Sliusarenko; Michael Barton 002; Gershon Elber (Comput. Aided Des., 2021)

Geometry and tool motion planning for curvature adapted CNC machining. - Michael Barton 002; Michal Bizzarri; Florian Rist 001; Oleksii Sliusarenko; Helmut Pottmann (ACM Trans. Graph., 2021)

Efficient 5-axis CNC trochoidal flank milling of 3D cavities using custom-shaped cutting tools. - Pengbo Bo; Hongyu Fan; Michael Barton 002 (Comput. Aided Des., 2022)

SPM 2021 Editorial. - Georges-Pierre Bonneau; Michael Barton 002; Saigopal Nelaturi (Comput. Aided Des., 2022)

Curve-guided 5-axis CNC flank milling of free-form surfaces using custom-shaped tools. - Kanika Rajain; Oleksii Sliusarenko; Michal Bizzarri; Michael Barton 002 (Comput. Aided Geom. Des., 2022)

Solving boundary value problems via the Nyström method using spline Gauss rules. - Ali Hashemian; Hanna Sliusarenko; Sara Remogna; Domingo Barrera; Michael Barton 002 (Comput. Math. Appl., 2023)

Screw rotor manufacturing via 5-axis flank CNC machining using conical tools. - Michal Bizzarri; Pengbo Bo; Michael Barton 002 (Comput. Aided Geom. Des., 2023)

Numerical quadrature for Gregory quads. - Jun Zhou; Pieter J. Barendrecht; Michael Barton 002; Jirí Kosinka (Appl. Math. Comput., 2023)

Towards G1-Continuous Multi-Strip Path-Planning for 5-Axis Flank CNC Machining of Free-Form Surfaces Using Conical Cutting Tools. - Kanika Rajain; Michal Bizzarri; Miroslav Lávicka; Jirí Kosinka; Michael Barton 002 (Comput. Aided Des., 2023)

On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining. - Felipe Ponce-Vanegas; Michal Bizzarri; Michael Barton 002 (Comput. Aided Geom. Des., 2023)

Collision-free Tool Motion Planning for 5-Axis CNC Machining with Toroidal Cutters. - Juan Zaragoza Chichell; Alena Recková; Michal Bizzarri; Michael Barton 002 (Comput. Aided Des., 2024)

On tiling spherical triangles into quadratic subpatches. - Michal Bizzarri; Miroslav Lávicka; Jan Vrsek; Michael Barton 002; Jirí Kosinka (Comput. Aided Geom. Des., 2024)

On inverse construction of isoptics and isochordal-viewed curves. - David Rochera; Michael Barton 002 (J. Comput. Appl. Math., 2024)

Cloud benchmarking and performance analysis of an HPC application in Amazon EC2. - Tamara Dancheva; Unai Alonso; Michael Barton 002 (Clust. Comput., 2024)

On shape design and optimization of gerotor pumps. - Juan Camilo Pareja-Corcho; Michael Barton 002; Asier Pedrera-Busselo; Daniel Mejia-Parra; Aitor Moreno; Jorge Posada 001 (Comput. Graph. Forum, 2024)

Smooth surface finishing for 5-axis flank CNC machining of free-form geometries using custom-shaped tools. - Michal Bizzarri; Kanika Rajain; Michael Barton 002 (Comput. Aided Des., 2025)

On tool wear optimized motion planning for 5-axis CNC machining of free-form surfaces using toroidal cutting tools. - Kinga Kruppa; Juan Zaragoza Chichell; Michal Bizzarri; Michael Barton 002 (Comput. Aided Des., 2025)

On design, analysis, and hybrid manufacturing of microstructured blade-like geometries. - Pablo Antolin; Michael Barton 002; Georges-Pierre Bonneau; Annalisa Buffa; Amaia Calleja-Ochoa; Gershon Elber; Stefanie Elgeti; Gaizka Gómez Escudero; Alicia Gonzalez; Haizea González Barrio; Stefanie Hahmann; Thibaut Hirschler; et al. (Comput. Aided Des., 2026)

Evolution-based tool path and motion planning optimization for 5-axis CNC machining of free-form surfaces. - Juan Zaragoza Chichell; Michal Bizzarri; Judith Echevarrieta Ibarra; Aritz Pérez; Michael Barton 002 (Comput. Aided Des., 2026)

Approximation of Dupin cyclide patches by ringed surfaces and its application towards curvature-adapted 5-axis CNC machining. - Alena Lindauerová; Michal Bizzarri; Pengbo Bo; Rimvydas Krasauskas; Michael Barton 002 (Comput. Aided Geom. Des., 2026)