Computer Graphics in Minimal Surface Theory

DOI10.1007/978-4-431-55483-7_2zbMath1372.65056OpenAlexW833052000MaRDI QIDQ5350430

Shoichi Fujimori

Publication date: 1 September 2017

Published in: Mathematical Progress in Expressive Image Synthesis II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-55483-7_2

zbMATH Keywords

computer graphicsminimal surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Cites Work

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• The structure of singly-periodic minimal surfaces
• The topology of complete minimal surfaces of finite total Gaussian curvature
• Uniqueness, symmetry, and embeddedness of minimal surfaces
• The computer-aided discovery of new embedded minimal surfaces
• Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)
• About the cover: Early images of minimal surfaces
• Example of a complete minimal immersion in IR3 of genus one and three-embedded ends
• Embedded minimal surfaces of finite topology

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