Riemann Surface- Software

Tutorial on Spherical Optimal Transportation Map with C++ source

This tutorial introduces the Geometric variational method for computing optimal transportation map with theories, algorithm. The source code, binary demos and the data set can be found here: [HTML]

Tutorial on Geometric Method for Optimal Transportation Map with C++ source

This tutorial introduces the Geometric variational method for computing optimal transportation map with theories, algorithm. The source code, binary demos, data set and the video can be found here: [HTML]

Tutorial on Fast Fourier Transformation for Optimal Transportation Map (FFT-OT) with C++ source

This tutorial introduces the Fast Fourier Transformation method for computing optimal transportation map with theories, algorithm. The source code, the binary demos and the data set are available upon request.

Tutorial on Mesh Registration Based on Optimal Transportation Map

This tutorial introduces the algorithm for mesh registration based on Riemann mapping and optimal transportation map. The source code, the binary demos and the data set are available upon request.

RiemannMapper: A General Purpose Mesh Parameterization Tool Kit

A general purpose mesh parameterization tool kit. Riemann mapper can compute conformal, quasi-conformal mappings for surfaces with differential topologies. The binary code and geometric data samples can be downloaded from here.

Optimal Mass Transportation Map Code

This tutorial introduces the concept and the theorem of optimal mass transportation map, with computational algorithms. The code and the data sets can be found here: [HTML]

Tutorial on Harmonic Map with C++ source

This tutorial introduces the concept and the theorem of surface harmonic map, with computational algorithms. The source code and the data sets can be found here: [HTML]

Tutorial on Mesh Viewer with C++ source

This tutorial introduces a simple triangle mesh viewer using OpenGL and Glut. The source code and the data sets can be found here: [HTML]

Tutorial on Surface Ricci Flow with C++ source

This tutorial introduces the discrete surface Ricci flow method with concepts, algorithm. The source code and the data sets can be found here: [HTML]

Tutorial on Riemann with C++ source

This tutorial introduces the surface Riemann mapping method with concepts, algorithm. The source code and the data sets can be found here: [HTML]

General Purpose Mesh Library

(source code)

A general purpose mesh library with source code. It is easy to transport it to SGI unix, linux and windows, download from here.

Computational Conformal Geometry Arachive

Geometric Surfaces with global conformal parameterizations. Please download from here.

3D Scanning Laboratory Geometric Surface Archive

This is the archive of high quality geometric surfaces of sculptures, human faces with dynamic expressions, acquired using high speed scanning systems developed by 3D scanning Lab at Stony Brook. Please download from here.