25 citations · 46 across the 5 of their papers we have counts for
5 papers
Non-Isometric Shape Matching via Functional Maps on Landmark-Adapted Bases
Mikhail Panine, Maxime Kirgo, Maks Ovsjanikov
We propose a principled approach for non-isometric landmark-preserving non-rigid shape matching. Our method is based on the functional maps framework, but rather than promoting iso…
Structured Regularization of Functional Map Computations
Jing Ren, Mikhail Panine, Peter Wonka +1
We consider the problem of non-rigid shape matching using the functional map framework. Specifically, we analyze a commonly used approach for regularizing functional maps, which co…
Isospectralization, or how to hear shape, style, and correspondence
Luca Cosmo, Mikhail Panine, Arianna Rampini +3
The question whether one can recover the shape of a geometric object from its Laplacian spectrum ('hear the shape of the drum') is a classical problem in spectral geometry with a b…
A Convexity Result in the Spectral Geometry of Conformally Equivalent Metrics on Surfaces
Mikhail Panine, Achim Kempf
Motivated by considerations of euclidean quantum gravity, we investigate a central question of spectral geometry, namely the question of reconstructability of compact Riemannian ma…
Towards Spectral Geometric Methods for Euclidean Quantum Gravity
Mikhail Panine, Achim Kempf
The unification of general relativity with quantum theory will also require a coming together of the two quite different mathematical languages of general relativity and quantum th…