New algorithms are presented for numerical conformal mapping based on rational
approximations and the solution of Dirichlet problems by least-squares fitting on the …

This paper proposes a novel method for computing bijective density-equalizing
quasiconformal flattening maps for multiply connected open surfaces. In conventional …

Anisotropic fluids appear in a diverse array of systems, from liquid crystal displays to
bacterial swarms, and are characterized by orientational order. Large colloidal particles …

Conformal mapping, a classical topic in complex analysis and differential geometry, has
become a subject of great interest in the area of surface parameterization in recent decades …

We describe the asymptotic behavior of the conformal modulus of an unbounded doubly-
connected domain, non-symmetric with respect to the coordinate axes, when stretched in the …

Conformal and quasi-conformal mappings have widespread applications in imaging
science, computer vision, and computer graphics and can be used in surface registration …

The calculation of conformal mapping for irregular domains is a crucial step in deriving
analytical and semi-analytical solutions for irregularly shaped tunnels in rock masses using …

The conformal mapping function from the interior of the complex plane's unit circle to the
exterior of any simple closed curve on the real plane finds widespread applications …

We study numerical conformal mapping of multiply connected planar domains with
boundaries consisting of unions of finitely many circular arcs, so called polycircular domains …

We study the mixed Dirichlet–Neumann problem for the Laplace equation in the
complement of a bounded convex polygonal quadrilateral in the extended complex plane …