The Ptolemy–Alhazen problem and quadric surface mirror reflection

DOI10.1080/17476933.2022.2084537zbMath1526.30016arXiv2111.00709OpenAlexW3209666400MaRDI QIDQ6084010

Marcelina Mocanu, Matti Vuorinen, Masayo Fujimura

Publication date: 31 October 2023

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.00709

zbMATH Keywords

triangular ratio metricAlhazen's problemcatacaustic curvespherical mirrors

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real and complex geometry (51M99)

Cites Work

• The problem of the circular billiard
• Blaschke products and circumscribed conics
• Inequalities and bi-Lipschitz conditions for the triangular ratio metric
• The Ptolemy-Alhazen problem and spherical mirror reflection
• Lipschitz conditions, triangular ratio metric, and quasiconformal maps
• Circular Billiard
• The p-Relative Distance is a Metric
• Intrinsic metrics under conformal and quasiregular mappings
• Barrlund's distance function and quasiconformal maps
• Conformally Invariant Metrics and Quasiconformal Mappings
• Unnamed Item

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