On a continuity lemma of extremal length and its applications to conformal mapping

Conformal Mapping and its Applications

Conformal (Same form or shape) mapping is an important technique used in complex analysis and has many applications in different physical situations.If the function is harmonic (ie it satisfies Laplace’s equation∇f = 0 )then the transformation of such functions via conformal mapping is also harmonic. So equations pertaining to any field that can be represented by a potential function (all conse...

Extremal Length and Conformal Capacityo

Teichmüller extremal mapping and its applications to landmark matching registration

Registration, which aims to find an optimal 1-1 correspondence between shapes, is an important process in different research areas. Conformal mappings have been widely used to obtain a diffeomorphism between shapes that minimizes angular distortion. Conformal registrations are beneficial since it preserves the local geometry well. However, when landmark constraints are enforced, conformal mappi...

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 ...

the effect of vocabulary instruction through semantic mapping on learning and recall of efl learners

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