Biholomorphic approximation of planar domains
نویسندگان
چکیده
منابع مشابه
A Boundary Approximation Algorithm for Planar Domains
Suppose T is a triangulation T of R with edges E and vertices V, and suppose Ω is a bounded open subset of R. Let Vin = {v ∈ V : v ∈ Ω}. In this paper we will give an algorithm which uses Vin and nothing else to construct a finite disjointed family P of simple closed polygons whose union approximates, in a sense we shall make precise, the boundary ∂Ω of Ω. Of course we will need to assume somet...
متن کاملA Low-rank Spline Approximation of Planar Domains
Construction of spline surfaces from given boundary curves is one of the classical problems in computer aided geometric design, which regains much attention in isogeometric analysis in recent years and is called domain parameterization. However, for most of the state-of-the-art parameterization methods, the rank of the spline parameterization is usually large, which results in higher computatio...
متن کاملTwo Algorithms for Approximation in Highly Complicated Planar Domains
Motivated by an adaptive method for image approximation, which identifies ”smoothness domains” of the image and approximates it there, we developed two algorithms for the approximation, with small encoding budget, of smooth bivariate functions in highly complicated planar domains. The main application of these algorithms is in image compression. The first algorithm partitions a complicated plan...
متن کاملQuasiconformally Homogeneous Planar Domains
In this paper we explore the ambient quasiconformal homogeneity of planar domains and their boundaries. We show that the quasiconformal homogeneity of a domain D and its boundary E implies that the pair (D,E) is in fact quasiconformally bi-homogeneous. We also give a geometric and topological characterization of the quasiconformal homogeneity of D or E under the assumption that E is a Cantor se...
متن کاملLocal Boundary Regularity of the Szegő Projection and Biholomorphic Mappings of Non-pseudoconvex Domains
It is shown that the Szegő projection S of a smoothly bounded domain Ω, not necessarily pseudoconvex, satisfies local regularity estimates at certain boundary points, provided that condition R holds for Ω. It is also shown that any biholomorphic mapping f : Ω → D between smoothly bounded domains extends smoothly near such points, provided that a weak regularity assumption holds for D. 1. Prelim...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1974
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1974.52.341