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Consistent mesh partitioning and skeletonisation using the shape diameter function

https://doi.org/10.1007/s00371-007-0197-5

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Approximating the Medial Axis from the Voronoi Diagram with a Convergence Guarantee

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Shape Segmentation and Matching with Flow Discretization

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FORMS: A flexible object recognition and modelling system

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Extracting skeletal curves from 3D scattered data

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Shape understanding by contour-driven retiling

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Mesh segmentation using feature point and core extraction

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Domain connected graph: the skeleton of a closed 3D shape for animation

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Hierarchical mesh segmentation based on fitting primitives

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Approximating the Medial Axis from the Voronoi Diagram with a Convergence Guarantee

inferredcites →https://doi.org/10.1007/s00453-003-1051-4openalex-snapshot

Blowing Bubbles for Multi-Scale Analysis and Decomposition of Triangle Meshes

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Polyhedral surface decomposition with applications

inferredcites →https://doi.org/10.1016/s0167-8396(99)00044-8openalex-snapshot

Curve reconstruction from unorganized points

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Using distance transforms to decompose 3D discrete objects

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The power crust, unions of balls, and the medial axis transform

inferredcites →https://doi.org/10.1023/a:1013844811137openalex-snapshot

A Greedy EM Algorithm for Gaussian Mixture Learning

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Multidimensional Scaling

inferredcites →https://doi.org/10.1090/s0025-5718-98-00974-0openalex-snapshot

The approximation power of moving least-squares

inferredcites →https://doi.org/10.1109/2945.817348openalex-snapshot

Partitioning 3D surface meshes using watershed segmentation

inferredcites →https://doi.org/10.1109/cvpr.2003.1211448openalex-snapshot

Perception-based 3D triangle mesh segmentation using fast marching watersheds

inferredcites →https://doi.org/10.1109/cvpr.2004.1315196openalex-snapshot

Spatially coherent clustering using graph cuts

inferredcites →https://doi.org/10.1109/pccga.2004.1348320openalex-snapshot

Proceedings. 12th Pacific Conference on Computer Graphics and Applications

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Intelligent mesh scissoring using 3D snakes

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Segmentation of 3D meshes through spectral clustering

inferredcites →https://doi.org/10.1109/pg13286.2007openalex-snapshot

15th Pacific Conference on Computer Graphics and Applications (PG'07)

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Learning mixtures of Gaussians

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Extracting skeletal curves from 3D scattered data

inferredcites →https://doi.org/10.1109/smi.2007.38openalex-snapshot

Topology driven 3D mesh hierarchical segmentation

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Metamorphosis of Polyhedral Surfaces using Decomposition

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SHAPE-COVERING FOR SKELETON EXTRACTION

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Fair morse functions for extracting the topological structure of a surface mesh

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Variational shape approximation

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Shape segmentation using local slippage analysis

inferredcites →https://doi.org/10.1145/1128888.1128919openalex-snapshot

Simultaneous shape decomposition and skeletonization

inferredcites →https://doi.org/10.1145/1201775.882369openalex-snapshot

Hierarchical mesh decomposition using fuzzy clustering and cuts

inferredcites →https://doi.org/10.1145/383259.383282openalex-snapshot

Topology matching for fully automatic similarity estimation of 3D shapes

inferredcites →https://doi.org/10.1145/882262.882369openalex-snapshot

Hierarchical mesh decomposition using fuzzy clustering and cuts

inferredcites →https://doi.org/10.1145/997817.997823openalex-snapshot

Approximate convex decomposition of polygons

inferredcites →https://doi.org/10.2140/pjm.1997.181.57openalex-snapshot

Mathematical theory of medial axis transform

inferredcites →https://doi.org/10.2312/egst.20061056openalex-snapshot

Segmentation and Shape Extraction of 3D Boundary Meshes

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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References

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3D medial axis point approximation using nearest neighbors and the normal field

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Image-driven unsupervised 3D model co-segmentation

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A structural-constraint 3D point clouds segmentation adversarial method

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Integrated model/scene construction through context-based search, data-driven suggestion and component replacement

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New evaluation metrics for mesh segmentation

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GPU-based approaches for shape diameter function computation and its applications focused on skeleton extraction

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Detection of hierarchical intrinsic symmetry structure in 3D models

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3D synthesis of man-made objects based on fine-grained parts

inferred← citeshttps://doi.org/10.1016/j.cag.2018.12.004openalex-snapshot

Context-adaptive navigation of 3D model collections

inferred← citeshttps://doi.org/10.1016/j.cag.2019.03.016openalex-snapshot

Autoencoder-based part clustering for part-in-whole retrieval of CAD models

inferred← citeshttps://doi.org/10.1016/j.cag.2019.05.015openalex-snapshot

Generalized volumetric foliation from inverted viscous flow

inferred← citeshttps://doi.org/10.1016/j.cag.2020.05.022openalex-snapshot

Total variation diffusion and its application in shape decomposition

inferred← citeshttps://doi.org/10.1016/j.cag.2021.08.018openalex-snapshot

C2F-3DToothSeg: Coarse-to-fine 3D tooth segmentation via intuitive single clicks

inferred← citeshttps://doi.org/10.1016/j.cag.2022.06.006openalex-snapshot

Feature-preserving Mumford–Shah mesh processing via nonsmooth nonconvex regularization

inferred← citeshttps://doi.org/10.1016/j.cag.2025.104260openalex-snapshot

SR-CurvANN: Advancing 3D surface reconstruction through curvature-aware neural networks

inferred← citeshttps://doi.org/10.1016/j.cag.2026.104720openalex-snapshot

Diskify: A combinatorial approach to the computation of cut networks on surfaces

inferred← citeshttps://doi.org/10.1016/j.cagd.2016.02.006openalex-snapshot

Volumetric shape contexts for mesh co-segmentation

inferred← citeshttps://doi.org/10.1016/j.cagd.2016.02.015openalex-snapshot

Unsupervised 3D shape segmentation and co-segmentation via deep learning

inferred← citeshttps://doi.org/10.1016/j.cagd.2017.02.009openalex-snapshot

A primitive-based 3D segmentation algorithm for mechanical CAD models

inferred← citeshttps://doi.org/10.1016/j.cagd.2018.03.015openalex-snapshot

Generating hybrid interior structure for 3D printing

inferred← citeshttps://doi.org/10.1016/j.cagd.2019.04.007openalex-snapshot

Q-MAT+: An error-controllable and feature-sensitive simplification algorithm for medial axis transform

inferred← citeshttps://doi.org/10.1016/j.cagd.2019.04.009openalex-snapshot

Label transfer between images and 3D shapes via local correspondence encoding

inferred← citeshttps://doi.org/10.1016/j.cagd.2020.101856openalex-snapshot

Skeletonization via dual of shape segmentation

inferred← citeshttps://doi.org/10.1016/j.cagd.2025.102440openalex-snapshot

MTSegNet: Manifold Transformer for 3D shape segmentation

inferred← citeshttps://doi.org/10.1016/j.cagd.2025.102454openalex-snapshot

3D shape analysis via multi-modal contrastive learning

inferred← citeshttps://doi.org/10.1016/j.cam.2017.05.007openalex-snapshot

Mesh segmentation by combining mesh saliency with spectral clustering

inferred← citeshttps://doi.org/10.1016/j.celrep.2026.117150openalex-snapshot

Optogenetic mediated contractility enables reversible control of microglial morphology and migration in vivo

inferred← citeshttps://doi.org/10.1016/j.cma.2016.07.005openalex-snapshot

Surface segmentation for polycube construction based on generalized centroidal Voronoi tessellation

inferred← citeshttps://doi.org/10.1016/j.compbiomed.2014.10.013openalex-snapshot

Interactive tooth partition of dental mesh base on tooth-target harmonic field

inferred← citeshttps://doi.org/10.1016/j.compind.2021.103520openalex-snapshot

Articulated 3D model matching using multi-scale histograms of shape features for customized additive manufacturing

inferred← citeshttps://doi.org/10.1016/j.cviu.2014.12.008openalex-snapshot

A comprehensive overview of methodologies and performance evaluation frameworks in 3D mesh segmentation

inferred← citeshttps://doi.org/10.1016/j.cviu.2017.04.006openalex-snapshot

Part-based 3D object retrieval via multi-label optimization

inferred← citeshttps://doi.org/10.1016/j.cviu.2019.102901openalex-snapshot

Triplanar convolution with shared 2D kernels for 3D classification and shape retrieval

inferred← citeshttps://doi.org/10.1016/j.cviu.2021.103243openalex-snapshot

Near-convex decomposition of 2D shape using visibility range

inferred← citeshttps://doi.org/10.1016/j.ejwf.2025.12.002openalex-snapshot

Towards automated model analysis: A multiview AI segmentation of 3D dental scans

inferred← citeshttps://doi.org/10.1016/j.energy.2023.128968openalex-snapshot

Exploration on the characteristics of 3D crack network expansion induced by hydraulic fracturing: A hybrid approach combining experiments and algorithms

inferred← citeshttps://doi.org/10.1016/j.gene.2018.04.049openalex-snapshot

Three-dimensional protein shape similarity analysis based on hybrid features

inferred← citeshttps://doi.org/10.1016/j.gmod.2012.04.007openalex-snapshot

Visible neighborhood graph of point clouds

inferred← citeshttps://doi.org/10.1016/j.gmod.2012.10.005openalex-snapshot

Curve skeleton extraction by coupled graph contraction and surface clustering

inferred← citeshttps://doi.org/10.1016/j.gmod.2013.03.001openalex-snapshot

Skeleton-based intrinsic symmetry detection on point clouds

inferred← citeshttps://doi.org/10.1016/j.gmod.2013.06.001openalex-snapshot

Robust diameter-based thickness estimation of 3D objects

inferred← citeshttps://doi.org/10.1016/j.gmod.2014.04.009openalex-snapshot

Spectral 3D mesh segmentation with a novel single segmentation field

inferred← citeshttps://doi.org/10.1016/j.gmod.2018.01.001openalex-snapshot

3D mesh segmentation via multi-branch 1D convolutional neural networks

inferred← citeshttps://doi.org/10.1016/j.gmod.2019.101034openalex-snapshot

Near support-free multi-directional 3D printing via global-optimal decomposition

inferred← citeshttps://doi.org/10.1016/j.gmod.2019.101041openalex-snapshot

3D skeleton transfer for meshes and clouds

inferred← citeshttps://doi.org/10.1016/j.gmod.2020.101071openalex-snapshot

Automatic 3D tooth segmentation using convolutional neural networks in harmonic parameter space

inferred← citeshttps://doi.org/10.1016/j.gmod.2024.101236openalex-snapshot

A detail-preserving method for medial mesh computation in triangular meshes

inferred← citeshttps://doi.org/10.1016/j.image.2016.12.012openalex-snapshot

An efficient unsupervised diffusion clustering algorithm with application to shape decomposition based on visibility context

inferred← citeshttps://doi.org/10.1016/j.image.2020.115980openalex-snapshot

An improved 3D shape visibility graph with application to mesh segmentation

inferred← citeshttps://doi.org/10.1016/j.image.2021.116297openalex-snapshot

Bag of shape descriptor using unsupervised deep learning for non-rigid shape recognition

inferred← citeshttps://doi.org/10.1016/j.imavis.2009.02.004openalex-snapshot

3D Mesh decomposition using Reeb graphs

inferred← citeshttps://doi.org/10.1016/j.ins.2018.06.021openalex-snapshot

Determination of 3D curve skeleton of a digital object

inferred← citeshttps://doi.org/10.1016/j.jmapro.2024.04.058openalex-snapshot

Manufacturability identification based on the slice for vat photopolymerization

inferred← citeshttps://doi.org/10.1016/j.jmgm.2014.06.012openalex-snapshot

Skeleton-based shape analysis of protein models

inferred← citeshttps://doi.org/10.1016/j.matdes.2023.112410openalex-snapshot

Multi-axial 3D printing of biopolymer-based concrete composites in construction

inferred← citeshttps://doi.org/10.1016/j.measurement.2021.110395openalex-snapshot

Multisensor data processing in dimensional metrology for collaborative measurement of a laser plane sensor combined to a touch probe

inferred← citeshttps://doi.org/10.1016/j.media.2020.101748openalex-snapshot

Automatic estimation of aortic and mitral valve displacements in dynamic CTA with 4D graph-cuts

inferred← citeshttps://doi.org/10.1016/j.neucom.2014.06.090openalex-snapshot

Locality-constrained sparse patch coding for 3D shape retrieval

inferred← citeshttps://doi.org/10.1016/j.neucom.2015.06.115openalex-snapshot

VIV: Using visible internal volume to compute junction-aware shape descriptor of 3D articulated models

inferred← citeshttps://doi.org/10.1016/j.neucom.2025.130188openalex-snapshot

Pose-independent efficient gauge equivariant network for 3D mesh aneurysm segmentation

inferred← citeshttps://doi.org/10.1016/j.patcog.2023.109444openalex-snapshot

Segmentation of 3D Point Cloud Data Representing Full Human Body Geometry: A Review

inferred← citeshttps://doi.org/10.1016/j.patrec.2011.09.019openalex-snapshot

Multiview human pose estimation with unconstrained motions

inferred← citeshttps://doi.org/10.1016/j.patrec.2012.03.015openalex-snapshot

A graph-based technique for semi-supervised segmentation of 3D surfaces

inferred← citeshttps://doi.org/10.1016/j.scs.2025.106948openalex-snapshot

Automated framework for semantic segmentation and CFD-ready geometric reconstruction of urban elements from UAV data

inferred← citeshttps://doi.org/10.1016/j.sigpro.2014.05.025openalex-snapshot

Junction-aware shape descriptor for 3D articulated models using local shape-radius variation

inferred← citeshttps://doi.org/10.1016/j.sleep.2017.04.002openalex-snapshot

Changes in subcortical shape and cognitive function in patients with chronic insomnia

inferred← citeshttps://doi.org/10.1016/j.tcs.2015.11.013openalex-snapshot

Reeb graph based segmentation of articulated components of 3D digital objects

inferred← citeshttps://doi.org/10.1016/j.ultrasmedbio.2016.12.017openalex-snapshot

Anatomical Regurgitant Orifice Detection and Quantification from 3-D Echocardiographic Images

inferred← citeshttps://doi.org/10.1038/s41531-022-00429-1openalex-snapshot

Local striatal volume and motor reserve in drug-naïve Parkinson’s disease

inferred← citeshttps://doi.org/10.1038/s41592-019-0539-zopenalex-snapshot

Robust and automated detection of subcellular morphological motifs in 3D microscopy images

inferred← citeshttps://doi.org/10.1038/s41598-019-43882-4openalex-snapshot

Deformities of the Globus Pallidus are Associated with Severity of Suicidal Ideation and Impulsivity in Patients with Major Depressive Disorder

inferred← citeshttps://doi.org/10.1038/s41598-022-05531-1openalex-snapshot

Association of subcortical structural shapes with fatigue in neuromyelitis optica spectrum disorder

inferred← citeshttps://doi.org/10.1038/s41598-022-16747-6openalex-snapshot

Contracted thalamic shape is associated with early development of levodopa-induced dyskinesia in Parkinson’s disease

inferred← citeshttps://doi.org/10.1038/s44384-026-00052-xopenalex-snapshot

Modeling head- and pinna-related transfer functions using boundary elements and finite differences with volume penalization

inferred← citeshttps://doi.org/10.1049/cim2.12088openalex-snapshot

Delaunay meshes simplification with multi‐objective optimisation and fine tuning

inferred← citeshttps://doi.org/10.1049/cje.2020.11.001openalex-snapshot

Automatic Spectral Method of Mesh Segmentation Based on Fiedler Residual

inferred← citeshttps://doi.org/10.1073/pnas.1714795115openalex-snapshot

Physical and geometric constraints shape the labyrinth-like nasal cavity

showing the first 200 of 525

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