@inproceedings{a56a7ca8f0fc42fba7646785c5a84c60,
title = "A multi-resolution approach to heat kernels on discrete surfaces",
abstract = "Studying the behavior of the heat diffusion process on a manifold is emerging as an important tool for analyzing the geometry of the manifold. Unfortunately, the high complexity of the computation of the heat kernel - the key to the diffusion process - limits this type of analysis to 3D models of modest resolution. We show how to use the unique properties of the heat kernel of a discrete two dimensional manifold to overcome these limitations. Combining a multi-resolution approach with a novel approximation method for the heat kernel at short times results in an efficient and robust algorithm for computing the heat kernels of detailed models. We show experimentally that our method can achieve good approximations in a fraction of the time required by traditional algorithms. Finally, we demonstrate how these heat kernels can be used to improve a diffusion-based feature extraction algorithm.",
keywords = "Heat diffusion, Heat kernel, Matrix exponential, Multi-resolution",
author = "Amir Vaxman and Mirela Ben-Chen and Craig Gotsman",
note = "Publisher Copyright: {\textcopyright} 2010 ACM.; 37th International Conference and Exhibition on Computer Graphics and Interactive Techniques, SIGGRAPH 2010 ; Conference date: 26-07-2010 Through 30-07-2010",
year = "2010",
month = jul,
day = "26",
doi = "10.1145/1778765.1778858",
language = "English (US)",
series = "ACM SIGGRAPH 2010 Papers, SIGGRAPH 2010",
publisher = "Association for Computing Machinery, Inc",
editor = "Hugues Hoppe",
booktitle = "ACM SIGGRAPH 2010 Papers, SIGGRAPH 2010",
}