Titlebook: Advances in Discrete Differential Geometry; Alexander I. Bobenko Book‘‘‘‘‘‘‘‘ 2016 The Editor(s) (if applicable) and The Author(s) 2016 di

上釉彩

Nomadic

Protein

Pruritus

DEMN

Capacity Building and Community Powerin results are a discussion of various definitions of normality, a detailed study of the geometry of such congruences, and a concept of curvatures and shape operators associated with the faces of a triangle mesh. These curvatures are compatible with both normal congruences and the Steiner formula.

小淡水鱼

Lena Schwarzl,Eva Vetter,Miroslav Janíkto each discrete hermitian line bundle with curvature a unique piecewise-smooth hermitian line bundle of piecewise-constant curvature. This is then used to define a discrete Dirichlet energy which generalizes the well-known cotangent Laplace operator to discrete hermitian line bundles over Euclidean simplicial manifolds of arbitrary dimension.

MOT

https://doi.org/10.1057/9780230298057ng of the Gauss-Codazzi-system as analytic Cauchy problem and an in-depth-analysis of its discretization which is induced from the geometry of discrete isothermic surfaces. The discrete-to-continuous limit is carried out for the Christoffel and the Darboux transformations as well.

萤火虫

Challenging Boundaries in Language Educationhere exists a conformally equivalent triangle mesh whose scale factors are given by . on the boundary. Furthermore we show that the corresponding discrete conformal (piecewise linear) maps . converge to . uniformly in . with error of order ..

清晰

https://doi.org/10.1007/978-3-030-17057-8 theorem treats three cases separately: Only the case of polygons inscribed in compact circles can be reduced to the Euclidean theorem. For the other two cases, polygons inscribed in horocycles and hypercycles, we provide separate arguments. The hypercycle case also proves the theorem for “cyclic” polygons in . spacetime.

CREEK

Rethinking International Development seriesginary number to each interior edge. Then we derive a Weierstrass representation formula, which shows how a holomorphic quadratic differential can be used to construct a discrete minimal surface with prescribed Gauß map and prescribed Hopf differential.