7 citations · 16 across the 5 of their papers we have counts for
6 papers
Iterated minimal Darboux transformations
Sakuma Takeshita, Masashi Yasumoto
In this paper, we investigate the superposition of two minimal Darboux transformations in Euclidean three-space. A four-dimensional permutability diagram for transformations of iso…
Discrete minimal surfaces: Old and New
Wai Yeung Lam, Masashi Yasumoto
We survey structure-preserving discretizations of minimal surfaces in Euclidean space. Our focus is on a discretization defined via parallel face offsets of polyhedral surfaces, wh…
Discrete Weierstrass-type representations
Mason Pember, Denis Polly, Masashi Yasumoto
Discrete Weierstrass-type representations yield a construction method in discrete differential geometry for certain classes of discrete surfaces. We show that the known discrete We…
Semi-discrete linear Weingarten surfaces with Weierstrass-type representations and their singularities
Masashi Yasumoto, Wayne Rossman
We establish what semi-discrete linear Weingarten surfaces with Weierstrass-type representations in -dimensional Riemannian and Lorentzian spaceforms are, confirming their requi…
Discrete linear Weingarten surfaces with singularities in Riemannian and Lorentzian spaceforms
Wayne Rossman, Masashi Yasumoto
In this paper we define and analyze singularities of discrete linear Weingarten surfaces with Weierstrass-type representations in -dimensional Riemannian and Lorentzian spacefor…
Weierstrass representation for semi-discrete minimal surfaces, and comparison of various discretized catenoids
Wayne Rossman, Masashi Yasumoto
We give a Weierstrass type representation for semi-discrete minimal surfaces in Euclidean 3-space. We then give explicit parametrizations of various smooth, semi-discrete and fully…