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pro vyhledávání: '"Jikumaru, Yoshiki"'
Autor:
Jikumaru, Yoshiki
In this paper, we show that symmetries, which are known in the theory of integrable systems, naturally appeared in the classical linear theory of deformations of thin shells. Our result shows that if the middle surface of a shell becomes `integrable'
Externí odkaz:
http://arxiv.org/abs/2406.05997
A derivation of first variation formulas from the strain-displacement relations in thin shell theory
Autor:
Jikumaru, Yoshiki
In this paper, we derive the first variation formulas for surfaces in 3-dimensional Euclidean space by using the ``strain-displacement relations'' known in thin shell theory. For applications to architectural surface design, we focus on the objective
Externí odkaz:
http://arxiv.org/abs/2401.07486
Autor:
Jikumaru, Yoshiki
In this paper, we study planar polygonal curves from the variational methods. We show an unified interpretation of discrete curvatures and the Steiner-type formula by extracting the notion of the discrete curvature vector from the first variation of
Externí odkaz:
http://arxiv.org/abs/2004.07475
Autor:
Inoguchi, Jun-ichi, Jikumaru, Yoshiki, Kajiwara, Kenji, Miura, Kenjiro T., Schief, Wolfgang K.
Publikováno v:
In Computer Aided Geometric Design September 2023 105
Autor:
Jikumaru, Yoshiki, Koiso, Miyuki
An anisotropic surface energy is the integral of an energy density that depends on the normal at each point over the considered surface, and it is a generalization of surface area. The minimizer of such an energy among all closed surfaces enclosing t
Externí odkaz:
http://arxiv.org/abs/1903.03958
Publikováno v:
In Computer Aided Geometric Design April 2023 101
Akademický článek
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Autor:
Inoguchi, Jun-ichi, Jikumaru, Yoshiki, Kajiwara, Kenji, Miura, Kenjiro T., Schief, Wolfgang K.
In this paper, we consider a class of plane curves called log-aesthetic curves and their generalization which are used in computer aided geometric design. We consider these curves in the framework of the similarity geometry and characterize them as i
Externí odkaz:
http://arxiv.org/abs/1808.03104
Akademický článek
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Publikováno v:
In Computer-Aided Design May 2021 134