Symmetry in 3d geometry: Extraction and applications

NJ Mitra, M Pauly, M Wand… - Computer graphics …, 2013 - Wiley Online Library
The concept of symmetry has received significant attention in computer graphics and
computer vision research in recent years. Numerous methods have been proposed to find …

Discovering structural regularity in 3D geometry

M Pauly, NJ Mitra, J Wallner, H Pottmann… - ACM SIGGRAPH 2008 …, 2008 - dl.acm.org
We introduce a computational framework for discovering regular or repeated geometric
structures in 3D shapes. We describe and classify possible regular structures and present …

Structure-aware shape processing

NJ Mitra, M Wand, H Zhang, D Cohen-Or… - ACM SIGGRAPH 2014 …, 2014 - dl.acm.org
Shape structure is about the arrangement and relations between shape parts. Structure-
aware shape processing goes beyond local geometry and low level processing to analyze …

Global intrinsic symmetries of shapes

M Ovsjanikov, J Sun, L Guibas - Computer graphics forum, 2008 - Wiley Online Library
Although considerable attention in recent years has been given to the problem of symmetry
detection in general shapes, few methods have been developed that aim to detect and …

Ensemble of PANORAMA-based convolutional neural networks for 3D model classification and retrieval

K Sfikas, I Pratikakis, T Theoharis - Computers & Graphics, 2018 - Elsevier
A novel method for the classification and retrieval of 3D models is proposed; it exploits the
2D panoramic view representation of 3D models as input to an ensemble of convolutional …

E3Sym: Leveraging E (3) invariance for unsupervised 3D planar reflective symmetry detection

RW Li, LX Zhang, C Li, YK Lai… - Proceedings of the IEEE …, 2023 - openaccess.thecvf.com
Detecting symmetrical properties is a fundamental task in 3D shape analysis. In the case of
a 3D model with planar symmetries, each point has a corresponding mirror point wrt a …

Data-driven shape analysis and processing

K Xu, VG Kim, Q Huang, N Mitra… - SIGGRAPH ASIA 2016 …, 2016 - dl.acm.org
Data-driven methods serve an increasingly important role in discovering geometric,
structural, and semantic relationships between shapes. In contrast to traditional approaches …

Approximate symmetry detection in partial 3d meshes

I Sipiran, R Gregor, T Schreck - Computer graphics forum, 2014 - Wiley Online Library
Symmetry is a common characteristic in natural and man‐made objects. Its ubiquitous
nature can be exploited to facilitate the analysis and processing of computational …

3D point cloud semantic modelling: Integrated framework for indoor spaces and furniture

F Poux, R Neuville, GA Nys, R Billen - Remote Sensing, 2018 - mdpi.com
3D models derived from point clouds are useful in various shapes to optimize the trade-off
between precision and geometric complexity. They are defined at different granularity levels …

Symmetry detection using feature lines

M Bokeloh, A Berner, M Wand… - Computer Graphics …, 2009 - Wiley Online Library
In this paper, we describe a new algorithm for detecting structural redundancy in geometric
data sets. Our algorithm computes rigid symmetries, ie, subsets of a surface model that …