This is a prototype implementation of the paper Surface Maps via Adaptive Triangulations (Eurographics 2023) by Patrick Schmidt, Dörte Pieper, and Leif Kobbelt.
The method computes bijective maps, represented via common triangulations, between two or more genus-0 surfaces. Such common triangulations approximate the input surfaces but stay in bijective correspondence to them (via spherical embeddings). A discrete-continuous algorithm optimizes the geometric embeddings as well as the connectivity of these triangulations.
The repository contains:
- The core
SurfaceMaps
library. - Example applications that replicate figures from the paper.
This project has been developed and tested on Linux (Debian & Ubuntu) and requires a C++17 compiler. Install the dependencies via:
sudo apt install cmake libgl1-mesa-dev mesa-utils libglfw3 libglfw3-dev libxinerama-dev libxcursor-dev libxi-dev g++
Clone and build the project using the following commands:
git clone --recursive https://github.com/patr-schm/surface-maps-via-adaptive-triangulations.git
cd surface-maps-via-adaptive-triangulations
mkdir build
cd build
cmake ..
make -j4
The build
directory should now contain several executable files. Run a file by typing e.g.:
./coarse_to_fine
(which reproduces the results of Figure 2 in the paper)
Each executable will produce a number of output meshes and screenshots in the build/output
directory.
Alternatively, it is possible to open an interactive viewer by setting open_viewer = true
in any of the files located in apps/adaptive_triangulations
.
Viewer navigation:
- Drag left mouse button to rotate
- Double-click to set pivot point
- Scroll mouse wheel to zoom
Press Escape to close the window. Some demos will open several windows in succession.
- Patrick Schmidt
- Dörte Pieper
- Leif Kobbelt
@article{schmidt2023surface,
title={Surface Maps via Adaptive Triangulations},
author={Schmidt, Patrick and Pieper, D\"orte and Kobbelt, Leif},
year={2023},
journal={Computer Graphics Forum},
volume={42},
number={2},
}
Our source code is released under the MIT License.