Jan Grošelj

Research

Publications
Scientific meetings and conferences
Research visits

Publications

J. Grošelj, A. Šadl Praprotnik. Rational C1 cubic Powell–Sabin B-splines with application to representation of ruled surfaces. Journal of Computational and Applied Mathematics 457, 2025. [doi, cobiss]
E. Češek, J. Grošelj, A. Kolar-Požun, M. Lekše, G. D. Romih, A. Šadl Praprotnik, M. Šteblaj. A representation and comparison of three cubic macro-elements. Mathematics and Computers in Simulation 219, 527–543, 2024. [doi, cobiss]
J. Grošelj, M. Kapl, M. Knez, T. Takacs, V. Vitrih. C1-smooth isogeometric spline functions of general degree over planar mixed meshes: The case of two quadratic mesh elements. Applied Mathematics and Computation 460, 2024. [doi, cobiss]
J. Grošelj, H. Speleers. Extraction and application of super-smooth cubic B-splines over triangulations. Computer Aided Geometric Design 103, 2023. [doi]
J. Grošelj, A. Šadl Praprotnik. Exact sphere representations over Platonic solids based on rational multisided Bézier patches. Computer Aided Geometric Design 98, 2022. [doi, cobiss]
M. Kuralt, A. Cmok Kučič, R. Gašperšič, J. Grošelj, M. Knez, A. Fidler. Gingival shape analysis using surface curvature estimation of the intraoral scans. BMC Oral Health 22, 2022. [doi, cobiss]
J. Grošelj, M. Knez. Generalized C1 Clough–Tocher splines for CAGD and FEM. Computer Methods in Applied Mechanics and Engineering 395, 2022. [doi, cobiss]
J. Grošelj, M. Knez. A construction of edge B-spline functions for a C1 polynomial spline on two triangles and its application to Argyris type splines. Computers & Mathematics with Applications 99, 329–344, 2021. [doi, cobiss]
J. Grošelj, H. Speleers. Super-smooth cubic Powell–Sabin splines on three-directional triangulations: B-spline representation and subdivision. Journal of Computational and Applied Mathematics 386, 23 pages, 2021. [doi, cobiss]
J. Grošelj, M. Kapl, M. Knez, T. Takacs, V. Vitrih. A super-smooth C1 spline space over planar mixed triangle and quadrilateral meshes. Computers & Mathematics with Applications 80(12), 2623–2643, 2020. [doi, cobiss]
J. Grošelj. Argyris type quasi-interpolation of optimal approximation order. Computer Aided Geometric Design 79, 2020. [doi, cobiss]
J. Grošelj, M. Knez. On stable representations of Bell elements. Computers & Mathematics with Applications 79(10), 2924–2941, 2020. [doi, cobiss]
J. Grošelj, M. Knez. Interpolation with C2 quartic macro-elements based on 10-splits. Journal of Computational and Applied Mathematics 362, 143–160, 2019. [doi, cobiss]
N. Bašić, J. Grošelj, B. Grünbaum, T. Pisanski. Splittable and unsplittable graphs and configurations. Ars Mathematica Contemporanea 16(1), 1–17, 2019. [doi, cobiss]
J. Grošelj, H. Speleers. Three recipes for quasi-interpolation with cubic Powell–Sabin splines. Computer Aided Geometric Design 67, 47–70, 2018. [doi, cobiss]
J. Grošelj, M. Knez. A B-spline basis for C1 quadratic splines on triangulations with a 10-split. Journal of Computational and Applied Mathematics 343, 413–427, 2018. [doi, cobiss]
J. Grošelj, H. Speleers. Construction and analysis of cubic Powell–Sabin B-splines. Computer Aided Geometric Design 57, 1–22, 2017. [doi, cobiss]
J. Grošelj, M. Krajnc. Quartic splines on Powell–Sabin triangulations. Computer Aided Geometric Design 49, 1–16, 2016. [doi, cobiss]
J. Grošelj, M. Krajnc. C1 cubic splines on Powell–Sabin triangulations. Applied Mathematics and Computation 272(1), 114–126, 2016. [doi, cobiss]
J. Grošelj. A normalized representation of super splines of arbitrary degree on Powell–Sabin triangulations. BIT Numerical Mathematics 56(4), 1257–1280, 2016. [doi, cobiss]

Scientific meetings and conferences

SIGMA 2024 Workshop. Marseille, France, October 28 – November 2, 2024. [website]
10th International Conference on Mathematical Methods for Curves and Surfaces. Oslo, Norway, June 26–28, 2024. [website]
BIRS Workshop on Homological Perspective on Splines and Finite Elements. Kelowna, Canada, May 19–24, 2024. [website]
Topology Optimization and Isogeometric Analysis. Linz, Austria, September 11–13, 2023. [website]
The International Geometry Summit 2023. Genova, Italy, July 3–7, 2023. [website]
6th IM-Workshop on Applied Approximation, Signals and Images. Bernried, Germany, February 20–24, 2023. [website]
10th International Conference on Isogeometric Analysis. Banff, Canada, November 6–9, 2022. [website]
Third International Conference on Subdivision, Geometric and Algebraic Methods, Isogeometric Analysis and Refinability in ITaly (SMART 2022). Rimini, Italy, September 20–24, 2022. [website]
INdAM Workshop: Approximation Theory and Numerical Analysis meet Algebra, Geometry, Topology. Cortona, Italy, September 5–9, 2022. [website]
Virtual International Conference on Isogeometric Analysis. Lyon, France, September 26–29, 2021. [website]
Conference on Geometry: Theory and Applications (CGTA 2021). Gozd Martuljek, Slovenia, September 20–23, 2021. [website]
IM-Workshop 2020 on Signals, Images, and Approximation. Bernried, Germany, February 24–28, 2020. [website]
INdAM Workshop: Geometric Challenges in Isogeometric Analysis. Rome, Italy, January 27–31, 2020. [website]
Conference on Geometry: Theory and Applications (CGTA 2019). Innsbruck, Austria, June 3–7, 2019. [website]
Sixteenth International Conference on Approximation Theory. Nashville, USA, May 19–22, 2019. [website]
IM-Workshop 2019 on Signals, Images, and Approximation. Bernried, Germany, March 4–8, 2019. [website]
9th International Conference on Curves and Surfaces. Arcachon, France, June 28 – July 4, 2018. [website]
Second International Conference on Subdivision, Geometric and Algebraic Methods, Isogeometric Analysis and Refinability in ITaly (SMART 2017). Gaeta, Italy, September 17–21, 2017. [website]
Conference on Geometry: Theory and Applications (CGTA 2015). Kefermarkt, Austria, June 8–12, 2015. [website]
First International Conference on Subdivision, Geometric and Algebraic Methods, Isogeometric Analysis and Refinability in Tuscany (SMART 2014). Pontignano, Italy, September 28 – October 1, 2014. [website]
New Trends in Applied Geometry 5. Bernried, Germany, March 3–7, 2014.

Research visits

University of Rome "Tor Vergata". Rome, Italy, May 5–10, 2024.
Carinthia University of Applied Sciences. Villach, Austria, January 18 – April 19, 2024.
Carinthia University of Applied Sciences. Villach, Austria, December 5–6, 2023.
Johannes Kepler University Linz. Linz, Austria, December 3–5, 2019.
Johannes Kepler University Linz. Linz, Austria, November 28–30, 2018.