Neuromorph: Unsupervised shape interpolation and correspondence in one go

M Eisenberger, D Novotny… - Proceedings of the …, 2021 - openaccess.thecvf.com
We present NeuroMorph, a new neural network architecture that takes as input two 3D
shapes and produces in one go, ie in a single feed forward pass, a smooth interpolation and …

Spectral meets spatial: Harmonising 3d shape matching and interpolation

D Cao, M Eisenberger, N El Amrani… - Proceedings of the …, 2024 - openaccess.thecvf.com
Although 3D shape matching and interpolation are highly interrelated they are often studied
separately and applied sequentially to relate different 3D shapes thus resulting in sub …

Deblurring and denoising of maps between shapes

D Ezuz, M Ben-Chen - Computer Graphics Forum, 2017 - Wiley Online Library
Shape correspondence is an important and challenging problem in geometry processing.
Generalized map representations, such as functional maps, have been recently suggested …

A survey on nonrigid 3d shape analysis

H Laga - Academic Press Library in Signal Processing, Volume …, 2018 - Elsevier
Shape is an important physical property of natural and manmade 3D objects that
characterizes their external appearances. Understanding differences between shapes and …

Riemannian geometry for efficient analysis of protein dynamics data

W Diepeveen, C Esteve-Yagüe, J Lellmann… - Proceedings of the …, 2024 - pnas.org
An increasingly common viewpoint is that protein dynamics datasets reside in a nonlinear
subspace of low conformational energy. Ideal data analysis tools should therefore account …

Dynamical optimal transport on discrete surfaces

H Lavenant, S Claici, E Chien, J Solomon - ACM Transactions on …, 2018 - dl.acm.org
We propose a technique for interpolating between probability distributions on discrete
surfaces, based on the theory of optimal transport. Unlike previous attempts that use linear …

Smooth rotation enhanced as-rigid-as-possible mesh animation

Z Levi, C Gotsman - IEEE transactions on visualization and …, 2014 - ieeexplore.ieee.org
In recent years, the As-Rigid-As-Possible (ARAP) shape deformation and shape
interpolation techniques gained popularity, and the ARAP energy was successfully used in …

Reversible harmonic maps between discrete surfaces

D Ezuz, J Solomon, M Ben-Chen - ACM Transactions on Graphics (ToG), 2019 - dl.acm.org
Information transfer between triangle meshes is of great importance in computer graphics
and geometry processing. To facilitate this process, a smooth and accurate map is typically …

Repulsive shells

J Sassen, H Schumacher, M Rumpf… - ACM Transactions on …, 2024 - hal.science
This paper develops a shape space framework for collision-aware geometric modeling,
where basic geometric operations automatically avoid inter-penetration. Shape spaces are a …

Isometry‐aware preconditioning for mesh parameterization

S Claici, M Bessmeltsev, S Schaefer… - Computer Graphics …, 2017 - Wiley Online Library
This paper presents a new preconditioning technique for large‐scale geometric optimization
problems, inspired by applications in mesh parameterization. Our positive (semi‐) definite …