Kai Hormann
http://usi.to/ke6
Publications
Key publications (5)
- Ströter D., Thiery J. M., Hormann K., Chen J., Chang Q., Besler S., Mueller-Roemer J. S., Boubekeur T., Stork A., Fellner D. W. (2024) A survey on cage-based deformation of 3D models
- Dyke R. M., Hormann K. (2022) Histogram equalization using a selective filter
- Fuda C., Campagna R., Hormann K. (2022) On the numerical stability of linear barycentric rational interpolation
- Deng C., Chang Q., Hormann K. (2020) Iterative coordinates
- Ramanantoanina A., Hormann K., New shape control tools for rational Bézier curve design
Journal Article (59)
- Fuda C., Hormann K. (2024) Algorithm 1048: A C++ class for robust linear barycentric rational interpolation, ACM Transactions on Mathematical Software, 50 (3 ( September ))
- Fuda C., Ramanantoanina A., Hormann K. (2024) A comprehensive comparison of algorithms for evaluating rational Bézier curves, Dolomites Research Notes on Approximation, 17 (3 ( September ))
- Fu R., Hormann K., Alliez P. (2024) LFS-aware surface reconstruction from unoriented 3D point clouds, IEEE Transactions on Multimedia, 26
- Ströter D., Thiery J. M., Hormann K., Chen J., Chang Q., Besler S., Mueller-Roemer J. S., Boubekeur T., Stork A., Fellner D. W. (2024) A survey on cage-based deformation of 3D models, Computer Graphics Forum, 43 (2 ( May ))
- Hormann K., Romani L., Viscardi A. (2024) New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves, Computer Aided Geometric Design, 108 (February)
- Hormann K., Mancinelli C. (2024) Curvature continuous corner cutting, Computer aided geometric design, 114 (102392)
- Fuda C., Hormann K. (2024) A new stable method to compute mean value coordinates, Computer aided geometric design, 111
- Gotsman C., Hormann K. (2023) Efficient point-to-point resistance distance queries in large graphs, Journal of Graph Algorithms and Applications, 27 (1 ( February ))
- Chang Q., Deng C., Hormann K. (2023) Maximum likelihood coordinates, Computer graphics forum, 42 (5)
- Ramanantoanina A., Hormann K. (2023) Shape control tools for periodic Bézier curves, Computer aided geometric design, 103
- Dyke R. M., Hormann K. (2022) Histogram equalization using a selective filter, The visual computer, 39
- Dyn N., Hormann K., Mancinelli C. (2022) Non-uniform interpolatory subdivision schemes with improved smoothness, Computer aided geometric design, 94
- Fuda C., Campagna R., Hormann K. (2022) On the numerical stability of linear barycentric rational interpolation, Numerische Mathematik, 152 (4)
- Gotsman C., Hormann K. (2021) On landmark distances in polygons, Computer Graphics Forum, 40 (5 ( August ))
- Cirillo E., Hormann K., Sidon J. (2020) Convergence rates of a Hermite generalization of Floater-Hormann interpolants, Journal of Computational and Applied Mathematics, 371 (June)
- Hormann K., Zheng J. (2020) Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets, Computer Aided Geometric Design, 79 (May)
- Deng C., Chang Q., Hormann K. (2020) Iterative coordinates, Computer Aided Geometric Design, 79 (May)
- Farouki R. T., Hormann K., Nudo F. (2020) Singular cases of planar and spatial C1 Hermite interpolation problems based on quintic Pythagorean-hodograph curves, Computer Aided Geometric Design, 82 (October)
- Foster E. L., Hormann K., Popa R. T. (2019) Clipping simple polygons with degenerate intersections, Computers & Graphics: X, 2 (December)
- Ye Z., Liu Y. J., Zheng J., Hormann K., He Y. (2019) DE-Path: A differential-evolution-based method for computing energy-minimizing paths on surfaces, Computer-Aided Design, 114 (September)
- Anisimov D., Hormann K., Schneider C. (2019) Behaviour of exponential three-point coordinates at the vertices of convex polygons, Journal of computational and applied mathematics, 350
- Cirillo E., Hormann K. (2018) An iterative approach to barycentric rational Hermite interpolation, Numerische Mathematik, 140 (4 ( December ))
- Chen R., Gotsman C., Hormann K. (2018) Path planning with divergence-based distance functions, Computer Aided Geometric Design, 66 (November)
- Chen R., Gotsman C., Hormann K. (2018) Efficient path generation with reduced coordinates, Computer Graphics Forum, 37 (5 ( August ))
- Conti C., Deng C., Hormann K. (2018) Symmetric four-directional bivariate pseudo-spline symbols, Computer Aided Geometric Design, 60 (February)
- Dell'Accio F., Di Tommaso F., Hormann K. (2018) Reconstruction of a function from Hermite-Birkhoff data, Applied Mathematics and Computation, 318 (February)
- Cirillo E., Hormann K., Sidon J. (2017) Convergence rates of derivatives of Floater–Hormann interpolants for well-spaced nodes, Applied Numerical Mathematics, 116 (June)
- Anisimov D., Panozzo D., Hormann K. (2017) Blended barycentric coordinates, Computer Aided Geometric Design, 52-53 (March)
- Hormann K., Kosinka J. (2017) Discretizing Wachspress kernels is safe, Computer Aided Geometric Design, 52-53 (March)
- Zulian P., Schneider T., Hormann K., Krause R. (2017) Parametric finite elements with bijective mappings, BIT Numerical Mathematics, 57 (4 ( December ))
- Anisimov D., Deng C., Hormann K. (2016) Subdividing barycentric coordinates, Computer Aided Geometric Design, 43 (March)
- Schärfig R., Stamminger M., Hormann K. (2016) Creating light atlases with multi-bounce indirect illumination, Computers \& Graphics, 55 (April)
- Hormann K., Schaefer S. (2016) Pyramid algorithms for barycentric rational interpolation, Computer Aided Geometric Design, 42 (February)
- Dell'Accio F., Di Tommaso F., Hormann K. (2016) On the approximation order of triangular Shepard interpolation, IMA Journal of Numerical Analysis, 36 (1 ( January ))
- Dyn N., Heard A., Hormann K., Sharon N. (2015) Univariate subdivision schemes for noisy data with geometric applications, Computer Aided Geometric Design, 37 (August)
- Schneider T., Hormann K. (2015) Smooth bijective maps between arbitrary planar polygons, Computer Aided Geometric Design, 35-36 (May)
- Marras S., Váša L., Brunnett G., Hormann K. (2015) Perception-driven adaptive compression of static triangle meshes, Computer-Aided Design, 58 (January)
- Zhang J., Deng B., Liu Z., Patanè G., Bouaziz S., Hormann K., Liu L. (2014) Local barycentric coordinates, ACM Transactions on Graphics, 33 (6 ( November ))
- Saba M., Schneider T., Hormann K., Scateni R. (2014) Curvature-based blending of closed planar curves, Graphical Models, 76 (5 ( September ))
- Deng C., Hormann K. (2014) Pseudo-spline subdivision surfaces, Computer Graphics Forum, 33 (5 ( August ))
- Váša L., Marras S., Hormann K., Brunnett G. (2014) Compressing dynamic meshes with geometric Laplacians, Computer Graphics Forum, 33 (2 ( May ))
- Schneider T., Hormann K., Michael S. Floater (2013) Bijective composite mean value mappings, Computer Graphics Forum, 32 (5 ( August ))
- Deng C., Hormann K., Zhang Z. (2013) On the norms of the Dubuc–Deslauriers subdivision schemes, Computer Aided Geometric Design, 30 (7 ( October ))
- Bos L., De Marchi S., Hormann K., Sidon J. (2013) Bounding the Lebesgue constant for Berrut's rational interpolant at general nodes, Journal of Approximation Theory, 169 (May)
- Cashman T. J., Hormann K., Reif U. (2013) Generalized Lane–Riesenfeld algorithms, Computer Aided Geometric Design, 30 (4 ( May ))
- Marras S., Cashman T. J., Hormann K. (2013) Efficient interpolation of articulated shapes using mixed shape spaces, Computer Graphics Forum, 32 (8 ( December ))
- Dyn N., Hormann K. (2012) Geometric conditions for tangent continuity of interpolatory planar subdivision curves, Computer Aided Geometric Design, 29 (6 ( August ))
- Bos L., De Marchi S., Hormann K., Klein G. (2012) On the Lebesgue constant of barycentric rational interpolation at equidistant nodes, Numerische Mathematik, 121 (3 ( July ))
- Marras S., Bronstein M., Hormann K., Scateni R., Scopigno R. (2012) Motion-based mesh segmentation using augmented silhouettes, Graphical Models, 74 (4 ( July ))
- Hormann K., Klein G., De Marchi S. (2012) Barycentric rational interpolation at quasi-equidistant nodes, Dolomites Research Notes on Approximation, 5 (1 ( September ))
- Cashman T. J., Hormann K. (2012) A continuous, editable representation for deforming mesh sequences with separate signals for time, pose and shape, Computer Graphics Forum, 31 (2 ( May ))
- Bos L., De Marchi S., Hormann K. (2011) On the Lebesgue constant of Berrut's rational Interpolant at equidistant nodes, Journal of Computational and Applied Mathematics, 236 (4 ( September ))
- Weber O., Ben-Chen M., Gotsman C., Hormann K. (2011) A complex view of barycentric mappings, Computer Graphics Forum, 30 (5 ( August ))
- Conti C., Hormann K. (2011) Polynomial reproduction for univariate subdivision schemes of any arity, Journal of approximation theory, 163 (4)
- Invernizzi M., Schaefer S., Hormann K. (2010) Parameterizing subdivision surfaces, ACM transactions on graphics, 29 (4)
- Winkler T., Drieseberg J., Alexa M., Hormann K. (2010) Multi-scale geometry interpolation, Computer graphics forum, 29 (2)
- Dong B., Dyn N., Hormann K. (2010) Properties of dual pseudo-splines, Applied and computational harmonic analysis, 29 (1)
- Ramanantoanina A., Hormann K., New shape control tools for rational Bézier curve design, Computer aided geometric design, 88
- Cirillo E., Hormann K., On the Lebesgue constant of barycentric rational Hermite interpolants at equidistant nodes, Journal of computational and applied mathematics, 349
Book (1)
- Hormann K., Sukumar N. (2017) Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics. Taylor & Francis, CRC Press
Book chapter (3)
- Hormann K., Yap C., Zhang Y. S., Boulier and M. England and I. Kotsireas and T. M. Sadykov and E. V. Vorozhtsov F. (2023) Range functions of any convergence order and their amortized complexity analysis. Computer Algebra in Scientific Computing. Springer. Lecture Notes in Computer Science
- Hormann K., Engquist B. (2015) Geometry Processing. Encyclopedia of Applied and Computational Mathematics. Springer
- Hormann K., E. Fasshauer and Larry L. Schumaker G. (2014) Barycentric Interpolation. Approximation Theory XIV: San Antonio 2013. Springer. Springer Proceedings in Mathematics & Statistics
Conference proceedings (6)
- Hormann K., Staadt O. (2015) Eurographics 2015: State of the Art Reports. Part of special issue of Computer Graphics Forum, 34(2). Eurographics Association. Eurographics 2015. Zürich. May 4–8, 2015
- Hormann K., Liu L. (2015) Solid and Physical Modeling 2014. Special issue of Computer-Aided Design, 58. Elsevier. SPM 2014. Hong Kong. October 26–28, 2014
- Hormann K., McMains S., Umlauf G. (2014) 2013 SIAM Conference on Geometric and Physical Modeling. Special issue of Computer-Aided Design, 46. Elsevier. SIAM Conference on Geometric and Physical Modeling. Denver. November 11–14, 2013
- Bronstein M., Favre J. M., Hormann K. (2013) Vision, Modeling and Visualization 2013. Eurographics Association. VMV 2013. Lugano. September 11–13, 2013
- Deng J., Hormann K., Kazhdan M. (2012) Geometric Modeling and Processing 2012 – Part 2. Special issue of Computer Aided Geometric Design, 29(7). Elsevier. GMP 2012. Huangshan. June 18–24, 2012
- Deng J., Hormann K., Kazhdan M. (2012) Geometric Modeling and Processing 2012 – Part 1. Special issue of Graphical Models, 74(4). Elsevier. GMP 2012. Huangshan. June 18–24, 2012
Article in conference proceedings (8)
- Ramanantoanina A., Hormann K. (2024) Trigonometric tangent interpolating curves. Pacific Graphics Conference Papers and Posters. Eurographics Association. Huangshan, China
- Gotsman C., Hormann K. (2024) A linear method to consistently orient normals of a 3D point cloud. SIGGRAPH 2024 Conference Proceedings. ACM. Denver, USA
- Gotsman C., Hormann K. (2022) Compressing geodesic information for fast point-to-point geodesic distance queries. SIGGRAPH Asia 2022 Conference Proceedings. ACM. Daegu, Republic of Korea
- Hormann K., Kania L., Yap C. (2021) Novel range functions via Taylor expansions and recursive Lagrange interpolation with application to real root isolation. Proceedings of the 2021 ACM International Symposium on Symbolic and Algebraic Computation. ACM. Saint Petersburg, Russia
- Dell'Accio F., Di Tommaso F., Hormann K. (2016) Multinode rational operators for univariate interpolation. Numerical Computations: Theory and Algorithms (NUMTA-2016). AIP Publishing. AIP Conference Proceedings. Pizzo Calabro, Italy
- Dell'Accio F., Di Tommaso F., Hormann K. (2016) On the enhancement of the approximation order of triangular Shepard method. Numerical Computations: Theory and Algorithms (NUMTA-2016). AIP Publishing. AIP Conference Proceedings. Pizzo Calabro, Italy
- Marras S., Cashman T. J., Hormann K. (2012) A mixed shape space for fast interpolation of articulated shapes. Proceedings of Vision, Modeling, and Visualization 2012. Eurographics Association. VMV 2012. Magdeburg, Germany
- Schärfig R., Hormann K. (2010) Hardware accelerated 3D mesh painting. Proceedings of Vision, Modeling, and Visualization 2010. Eurographics Association. VMV 2010. Siegen, Germany
Technical report (2)
- Marras S., Hormann K. (2015) Exploring compression in edge shape space
- Bos L., De Marchi S., Hormann K. (2011) On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes
Other publication (3)
- Michael S. Floater, Hormann K., Sukumar N. (2020) Generalized Barycentric Coordinates
- Gotsman C., Hormann K. (2020) Secure data hiding for digital contact tracing
- Gianelli C., Hormann K., Žagar E. (2014) Recent Trends in Theoretical and Applied Geometry
