An automated study of isoptic curves of an astroid

DOI10.1016/j.jsc.2018.12.005zbMath1444.68302OpenAlexW2906733830WikidataQ128642163 ScholiaQ128642163MaRDI QIDQ2334579

Thierry Dana-Picard

Publication date: 7 November 2019

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2018.12.005

zbMATH Keywords

Gröbner basesdynamical geometryastroidisoptic curvesautomated study

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Theorem proving (automated and interactive theorem provers, deduction, resolution, etc.) (68V15)

Related Items (7)

On isoptics and isochordal-viewed curves ⋮ On curves with circles as their isoptics ⋮ Exploring the isoptics of Fermat curves in the affine plane using DGS and CAS ⋮ Automated exploration of inner isoptics of an ellipse ⋮ Automated exploration of envelopes and offsets with networking of technologies ⋮ Envelopes and offsets of two algebraic plane curves: exploration of their similarities and differences ⋮ Convexity limit angles for isoptics

Uses Software

• CoCoA
• GeoGebra

Cites Work

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• Sur la théorie des enveloppes
• Isoptic surfaces of polyhedra
• New algorithm to find isoptic surfaces of polyhedral meshes
• Automatic determination of envelopes and other derived curves within a graphic environment
• Some issues on the automatic computation of plane envelopes in interactive environments
• Revival of a classical topic in differential geometry: the exploration of envelopes in a computerized environment
• Bisoptic curves of hyperbolas
• Automated Study of Envelopes of One-Parameter Families of Surfaces

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