Coupled quasi-harmonic bases
Abstract
The use of Laplacian eigenbases has been shown to be fruitful in many computer graphics applications. Today, state-of-the-art approaches to shape analysis, synthesis, and correspondence rely on these natural harmonic bases that allow using classical tools from harmonic analysis on manifolds. However, many applications involving multiple shapes are obstacled by the fact that Laplacian eigenbases computed independently on different shapes are often incompatible with each other. In this paper, we propose the construction of common approximate eigenbases for multiple shapes using approximate joint diagonalization algorithms. We illustrate the benefits of the proposed approach on tasks from shape editing, pose transfer, correspondence, and similarity.
Keywords
Cite
@article{arxiv.1210.0026,
title = {Coupled quasi-harmonic bases},
author = {A. Kovnatsky and M. M. Bronstein and A. M. Bronstein and K. Glashoff and R. Kimmel},
journal= {arXiv preprint arXiv:1210.0026},
year = {2025}
}
Comments
Symbolic withdrawal of my first PhD paper as an open call to reform peer review. Fig.7 is NOT reproducible (MSER not used, manual fix ignored). I propose implementing my S.V.E. framework (https://github.com/skovnats/SVE-Systemic-Verification-Engineering/blob/master/Papers/SVE-3.pdf) and can assist if requested