☆ 3.8 Article

Helical surfaces with a constant ratio of principal curvatures

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY (2023)

Characteristic parameterizations of surfaces with a constant ratio of principal curvatures

Hui Wang et al.

Summary: Motivated by applications in architectural geometry, this study focuses on surfaces with a constant ratio of principal curvatures (CRPC surfaces), and explores their characteristic parameterizations. The research introduces characteristic parameterizations for rotational CRPC surfaces and discrete CRPC surfaces, and demonstrates efficient computation methods through numerical optimization. These surfaces have potential applications in computational design and mathematical studies of the CRPC surfaces.

COMPUTER AIDED GEOMETRIC DESIGN (2022)

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Article Computer Science, Software Engineering

Computational Design of Weingarten Surfaces

Davide Pellis et al.

Summary: This paper studies Weingarten surfaces and their potential in freeform architecture design. By leveraging the symmetries of Weingarten surfaces, surface paneling of double-curved architectural skins can be simplified. An optimization approach is presented to find a Weingarten surface close to a given input design.

ACM TRANSACTIONS ON GRAPHICS (2021)

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Article Computer Science, Theory & Methods