Conformal-mapping-based coordinate generation method for flows in periodic configurations
Journal of Computational Physics
Schwarz-Christoffel mappings: A general approach
Journal of Computational Physics
A modified Schwarz-Christoffel transformation for elongated regions
SIAM Journal on Scientific and Statistical Computing
A constructive method for numerically computing conformal mappings for gearlike domains
SIAM Journal on Scientific and Statistical Computing
Numerical conformal mapping of circular arc polygons
Journal of Computational and Applied Mathematics - Special issue on computational complex analysis
Numerical conformal mapping methods for exterior regions with corners
Journal of Computational Physics
Fire-driven flows in enclosures
Journal of Computational Physics
Cross-ratios and angles determine a polygon
Proceedings of the fourteenth annual symposium on Computational geometry
ACM Transactions on Mathematical Software (TOMS)
A polynomial method based on Fejèr points for the computation of functions of unsymmetric matrices
Applied Numerical Mathematics
Programming and Computing Software
Algorithm 843: Improvements to the Schwarz-Christoffel toolbox for MATLAB
ACM Transactions on Mathematical Software (TOMS)
2D-Shape Analysis Using Conformal Mapping
International Journal of Computer Vision
Asymptotic Gauss--Jacobi quadrature error estimation for Schwarz--Christoffel integrals
Journal of Approximation Theory
Technical Section: Layered deformation of solid model using conformal mapping
Computers and Graphics
2D-shape analysis using conformal mapping
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Numerical Computation of the Schwarz-Christoffel Transformation for Multiply Connected Domains
SIAM Journal on Scientific Computing
Journal of Computational and Applied Mathematics
Some numerical issues on the use of XFEM for ductile fracture
Computational Mechanics
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The Schwarz-Christoffel transformation and its variations yield formulas for conformal maps from standard regions to the interiors or exteriors of possibly unbounded polygons. Computations involving these maps generally require a computer, and although the numerical aspects of these transformations have been studied, there are few software implementations that are widely available and suited for general use. The Schwarz-Christoffel Toolbox for MATLAB is a new implementation of Schwarz-Christoffel formulas for maps from the disk, half-plane, strip, and rectangle domains to polygon interiors, and from the disk to polygon exteriors. The toolbox, written entirely in the MATLAB script language, exploits the high-level functions, interactive environment, visualization tools, and graphical user interface elements supplied by current versions of MATLAB, and is suitable for use both as a standalone tool and as a library for applications written in MATLAB, Fortran, or C. Several examples and simple applications are presented to demonstrate the toolbox's capabilities.