A survey on shape correspondence

O Van Kaick, H Zhang, G Hamarneh… - Computer graphics …, 2011 - Wiley Online Library
We review methods designed to compute correspondences between geometric shapes
represented by triangle meshes, contours or point sets. This survey is motivated in part by …

Laplace-Beltrami eigenfunctions for deformation invariant shape representation

RM Rustamov - Symposium on geometry processing, 2007 - scholar.archive.org
Proof: Suppose two distinct points have equal GPS values. Then their eigenfunctions have
equal value at these points. Thus given any function f, the eigenfunction expansion of f will …

3d deep shape descriptor

Y Fang, J Xie, G Dai, M Wang, F Zhu… - Proceedings of the …, 2015 - openaccess.thecvf.com
Shape descriptor is a concise yet informative representation that provides a 3D object with
an identification as a member of some category. This paper developed a concise deep …

Meshwalker: Deep mesh understanding by random walks

A Lahav, A Tal - ACM Transactions on Graphics (TOG), 2020 - dl.acm.org
Most attempts to represent 3D shapes for deep learning have focused on volumetric grids,
multi-view images and point clouds. In this paper we look at the most popular representation …

Spatially aggregating spectral descriptors for nonrigid 3D shape retrieval: a comparative survey

C Li, A Ben Hamza - Multimedia Systems, 2014 - Springer
This paper presents a comprehensive review and analysis of recent spectral shape
descriptors for nonrigid 3D shape retrieval. More specifically, we compare the latest spectral …

Local probabilistic models for link prediction

C Wang, V Satuluri… - … conference on data …, 2007 - ieeexplore.ieee.org
One of the core tasks in social network analysis is to predict the formation of links (ie various
types of relationships) over time. Previous research has generally represented the social …

Discrete Laplace–Beltrami operators for shape analysis and segmentation

M Reuter, S Biasotti, D Giorgi, G Patanè… - Computers & …, 2009 - Elsevier
Shape analysis plays a pivotal role in a large number of applications, ranging from
traditional geometry processing to more recent 3D content management. In this scenario …

A Gromov-Hausdorff framework with diffusion geometry for topologically-robust non-rigid shape matching

AM Bronstein, MM Bronstein, R Kimmel… - International Journal of …, 2010 - Springer
In this paper, the problem of non-rigid shape recognition is studied from the perspective of
metric geometry. In particular, we explore the applicability of diffusion distances within the …

Deepshape: Deep-learned shape descriptor for 3d shape retrieval

J Xie, G Dai, F Zhu, EK Wong… - IEEE transactions on …, 2016 - ieeexplore.ieee.org
Complex geometric variations of 3D models usually pose great challenges in 3D shape
matching and retrieval. In this paper, we propose a novel 3D shape feature learning method …

Deepshape: Deep learned shape descriptor for 3d shape matching and retrieval

J Xie, Y Fang, F Zhu, E Wong - Proceedings of the IEEE …, 2015 - openaccess.thecvf.com
Complex geometric structural variations of 3D models usually pose great challenges in 3D
shape matching and retrieval. In this paper, we propose a high-level shape feature learning …