Automated Study of Envelopes of One-Parameter Families of Surfaces

DOI10.1007/978-3-319-56932-1_4zbMath1386.65088OpenAlexW2738558887MaRDI QIDQ4609996

Nurit Zehavi, Thierry Dana-Picard

Publication date: 5 April 2018

Published in: Applications of Computer Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-56932-1_4

zbMATH Keywords

Gröbner basesimplicitizationenvelopesparametric families of surfaces

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Surfaces in Euclidean and related spaces (53A05)

Related Items (5)

Evolving evolutoids and pedaloids from viewpoints of envelope and singularity theory in Minkowski plane ⋮ Automated exploration of envelopes and offsets with networking of technologies ⋮ Zooming Algorithms for Accurate Plotting of Functions of Two Real Variables ⋮ Automated study of a regular trifolium ⋮ An automated study of isoptic curves of an astroid

Cites Work

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• Sur la théorie des enveloppes
• On the envelope of 1-parameter families of curves tangent to a semicubic cusp
• Envelopes -- notion and definiteness
• Revival of a classical topic in differential geometry: the exploration of envelopes in a computerized environment
• Bisoptic curves of hyperbolas

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