Smooth Shells: Multi-Scale Shape Registration with Functional Maps

05/29/2019
by   Marvin Eisenberger, et al.
0

We propose a novel 3D shape correspondence method based on the iterative alignment of so-called smooth shells. Smooth shells define a series of coarse-to-fine, smooth shape approximations that are designed to work well with multiscale algorithms. In this paper, we alternate between aligning smooth shells and computing Functional Maps between the inputs. Aligning very smooth approximations reduces the complexity of the overall process but during the iterations the amount of detail in the shells increases which helps to refine the resulting correspondence. Furthermore, we solve the problem of ambiguities from intrinsic symmetries by applying a surrogate based Markov chain Monte Carlo initialization. We show state-of-the-art quantitative results on several datasets focussing on isometries, topological changes and different connectivity. Additionally, we show qualitative results on challenging interclass pairs.

READ FULL TEXT

page 7

page 8

page 9

research
11/29/2021

Riemannian Functional Map Synchronization for Probabilistic Partial Correspondence in Shape Networks

Functional maps are efficient representations of shape correspondences, ...
research
06/17/2015

Partial Functional Correspondence

In this paper, we propose a method for computing partial functional corr...
research
10/28/2020

Deep Shells: Unsupervised Shape Correspondence with Optimal Transport

We propose a novel unsupervised learning approach to 3D shape correspond...
research
04/28/2022

Deep Orientation-Aware Functional Maps: Tackling Symmetry Issues in Shape Matching

State-of-the-art fully intrinsic networks for non-rigid shape matching o...
research
12/24/2018

Bayesian Point Set Registration

Point set registration involves identifying a smooth invertible transfor...
research
10/05/2022

Smooth Non-Rigid Shape Matching via Effective Dirichlet Energy Optimization

We introduce pointwise map smoothness via the Dirichlet energy into the ...

Please sign up or login with your details

Forgot password? Click here to reset