Research

Applied mathematics. Numerical analysis. Approximation theory. Computer aided geometric design. Splines on triangulations.

Publications

• J. Grošelj, M. Knez. A family of C1 Clough–Tocher spline spaces on C0 piecewise quadratic domain. Mathematics and Computers in Simulation 234, 368–389, 2025. [doi, cobiss]
• 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]
• J. Grošelj, H. Speleers. Using Geometric Symmetries to Achieve Super-Smoothness for Cubic Powell–Sabin Splines. In: M. Lanini, C. Manni, H. Schenck (eds). Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology. INdAM 2022. Springer INdAM Series, vol 60. Springer, Singapore, 205–229, 2024. [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, cobiss]
• 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]

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