منابع مشابه
Conformal Slit Mapping and Its Applications to Brain Surface Parameterization
We propose a method that computes a conformal mapping from a multiply connected mesh to the so-called slit domain, which consists of a canonical rectangle or disk in which 3D curved landmarks on the original surfaces are mapped to concentric or parallel lines in the slit domain. In this paper, we studied its application to brain surface parameterization. After cutting along some landmark curve ...
متن کاملSome Inequalities Relating to Conformal Mapping upon Canonical Slit-domains
(1) f = se(z) = z + — + • • • z and which maps D conformally and bi-uniformly upon a domain De of the f-plane bounded by n rectilinear slits each of which makes the angle 0 with the positive direction of the real axis. The domain De is itself also uniquely determined for each value of 0. In the present paper we shall derive two inequalities involving the coefficient a$ appearing in (1) and the ...
متن کاملNumerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions.
This paper presents a boundary integral equation method with the adjoint generalized Neumann kernel for computing conformal mapping of unbounded multiply connected regions and its inverse onto several classes of canonical regions. For each canonical region, two integral equations are solved before one can approximate the boundary values of the mapping function. Cauchy's-type integrals are used ...
متن کاملComputing Conformal Maps onto Canonical Slit Domains
We extend the results of [2] by computing conformal maps onto the canonical slit domains in Nehari [14]. Along the way, we demonstrate the computability of solutions to Neuman problems.
متن کاملOn Moduli in Conformal Mapping.
Geometrically, the theorem states that if a variety U/k becomes birationally equivalent to an Abelian variety over the algebraic closure of k, then it is birationally equivalent to an Abelian variety over k. (If k is a field with a discrete valuation, and ir is a prime element, then the curve defined by the equation X" + 7rY" + 7r2Zn = 0, with n = 3, shows that the conclusion of the theorem doe...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 1963
ISSN: 0386-5991
DOI: 10.2996/kmj/1138844813