Symmetries and similarities of planar algebraic curves using harmonic polynomials
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Publication:2424938
DOI10.1016/j.cam.2019.02.036zbMath1415.65037arXiv1801.09962OpenAlexW2963653844WikidataQ128237800 ScholiaQ128237800MaRDI QIDQ2424938
Miroslav Lávička, Jan Vršek, Juan Gerardo Alcázar
Publication date: 25 June 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.09962
Computational aspects of algebraic curves (14Q05) Computer-aided design (modeling of curves and surfaces) (65D17)
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Cites Work
- Detecting symmetries of rational plane and space curves
- Determining surfaces of revolution from their implicit equations
- Rotations, translations and symmetry detection for complexified curves
- Projective and affine symmetries and equivalences of rational curves in arbitrary dimension
- Detecting similarity of rational plane curves
- Efficient detection of symmetries of polynomially parametrized curves
- Harmonic Function Theory
- An Introduction to Fluid Dynamics