The wave kernel signature: A quantum mechanical approach to shape analysis

M Aubry, U Schlickewei… - 2011 IEEE international …, 2011 - ieeexplore.ieee.org
We introduce the Wave Kernel Signature (WKS) for characterizing points on non-rigid three-
dimensional shapes. The WKS represents the average probability of measuring a quantum …

Shape google: Geometric words and expressions for invariant shape retrieval

AM Bronstein, MM Bronstein, LJ Guibas… - ACM Transactions on …, 2011 - dl.acm.org
The computer vision and pattern recognition communities have recently witnessed a surge
of feature-based methods in object recognition and image retrieval applications. These …

Learning class‐specific descriptors for deformable shapes using localized spectral convolutional networks

D Boscaini, J Masci, S Melzi… - Computer graphics …, 2015 - Wiley Online Library
In this paper, we propose a generalization of convolutional neural networks (CNN) to non‐
Euclidean domains for the analysis of deformable shapes. Our construction is based on …

One point isometric matching with the heat kernel

M Ovsjanikov, Q Mérigot, F Mémoli… - Computer Graphics …, 2010 - Wiley Online Library
A common operation in many geometry processing algorithms consists of finding
correspondences between pairs of shapes by finding structure‐preserving maps between …

Intrinsic shape context descriptors for deformable shapes

I Kokkinos, MM Bronstein, R Litman… - … IEEE Conference on …, 2012 - ieeexplore.ieee.org
In this work, we present intrinsic shape context (ISC) descriptors for 3D shapes. We
generalize to surfaces the polar sampling of the image domain used in shape contexts: for …

Recent trends, applications, and perspectives in 3d shape similarity assessment

S Biasotti, A Cerri, A Bronstein… - Computer graphics …, 2016 - Wiley Online Library
The recent introduction of 3D shape analysis frameworks able to quantify the deformation of
a shape into another in terms of the variation of real functions yields a new interpretation of …

Anisotropic diffusion descriptors

D Boscaini, J Masci, E Rodolà… - Computer Graphics …, 2016 - Wiley Online Library
Spectral methods have recently gained popularity in many domains of computer graphics
and geometry processing, especially shape processing, computation of shape descriptors …

Scale-invariant features for 3-D mesh models

T Darom, Y Keller - IEEE Transactions on Image Processing, 2012 - ieeexplore.ieee.org
In this paper, we present a framework for detecting interest points in 3-D meshes and
computing their corresponding descriptors. For that, we propose an intrinsic scale detection …

A comparison of 3D shape retrieval methods based on a large-scale benchmark supporting multimodal queries

B Li, Y Lu, C Li, A Godil, T Schreck, M Aono… - Computer Vision and …, 2015 - Elsevier
Large-scale 3D shape retrieval has become an important research direction in content-
based 3D shape retrieval. To promote this research area, two Shape Retrieval Contest …

Persistence-based structural recognition

C Li, M Ovsjanikov, F Chazal - Proceedings of the IEEE …, 2014 - openaccess.thecvf.com
This paper presents a framework for object recognition using topological persistence. In
particular, we show that the so-called persistence diagrams built from functions defined on …