3d skeletons: A state‐of‐the‐art report

A Tagliasacchi, T Delame, M Spagnuolo… - Computer Graphics …, 2016‏ - Wiley Online Library
Given a shape, a skeleton is a thin centered structure which jointly describes the topology
and the geometry of the shape. Skeletons provide an alternative to classical boundary or …

Mean curvature skeletons

A Tagliasacchi, I Alhashim, M Olson… - Computer Graphics …, 2012‏ - Wiley Online Library
Inspired by recent developments in contraction‐based curve skeleton extraction, we
formulate the skeletonization problem via mean curvature flow (MCF). While the classical …

Coverage axis: Inner point selection for 3d shape skeletonization

Z Dou, C Lin, R Xu, L Yang, S **n… - Computer Graphics …, 2022‏ - Wiley Online Library
In this paper, we present a simple yet effective formulation called Coverage Axis for 3D
shape skeletonization. Inspired by the set cover problem, our key idea is to cover all the …

Skeleton‐driven adaptive hexahedral meshing of tubular shapes

M Livesu, A Muntoni, E Puppo… - Computer graphics …, 2016‏ - Wiley Online Library
We propose a novel method for the automatic generation of structured hexahedral meshes
of articulated 3D shapes. We recast the complex problem of generating the connectivity of a …

Neural skeleton: Implicit neural representation away from the surface

M Clémot, J Digne - Computers & Graphics, 2023‏ - Elsevier
Abstract Implicit Neural Representations are powerful tools for representing 3D shapes.
They encode an implicit field in the parameters of a Neural Network, leveraging the power of …

Extraction of the quad layout of a triangle mesh guided by its curve skeleton

F Usai, M Livesu, E Puppo, M Tarini… - ACM Transactions on …, 2015‏ - dl.acm.org
Starting from the triangle mesh of a digital shape, that is, mainly an articulated object, we
produce a coarse quad layout that can be used in character modeling and animation. Our …

cinolib: a generic programming header only C++ library for processing polygonal and polyhedral meshes

M Livesu - Transactions on Computational Science XXXIV, 2019‏ - Springer
Inspired by the recent growth of computational methods for general polygonal and
polyhedral meshes, this paper introduces Cinolib: a novel header only C++ library for …

Comparison of curve and surface skeletonization methods for voxel shapes

A Sobiecki, A Jalba, A Telea - Pattern Recognition Letters, 2014‏ - Elsevier
Surface and curve skeletons are important shape descriptors with applications in shape
matching, simplification, retrieval, and animation. In recent years, many surface and curve …

An unified multiscale framework for planar, surface, and curve skeletonization

AC Jalba, A Sobiecki, AC Telea - IEEE transactions on pattern …, 2015‏ - ieeexplore.ieee.org
Computing skeletons of 2D shapes, and medial surface and curve skeletons of 3D shapes,
is a challenging task. In particular, there is no unified framework that detects all types of …

Explicit cylindrical maps for general tubular shapes

M Livesu, M Attene, G Patané, M Spagnuolo - Computer-Aided Design, 2017‏ - Elsevier
A solid cylindrical parameterization is a volumetric map between a tubular shape and a right
cylinder embedded in the polar coordinate reference system. This paper introduces a novel …