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Paper Citation Record · LEDGER

Topology of Shape and Data in Material Microstructures

As of 9 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2607.27493.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.27493 v1

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measured 54 of 54 reference resolution

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54 of 54 outbound references displayed

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Outbound references

Observation 1650f541-7ca1-4bed-93c1-60fe03a0a5cf · outbound

This paper cites Grey and Paul G.

Topology of Shape and Data in Material Microstructures Grey and Paul G

Reference 1

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This paper cites Doronina, Zachary J.

Topology of Shape and Data in Material Microstructures Doronina, Zachary J

Reference 2

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Observation e45d08b5-5b1c-429a-91f4-dbdbb5596300 · outbound

This paper cites Restoration of noisy orientation maps from electron backscatter diffraction imaging.

Topology of Shape and Data in Material Microstructures Restoration of noisy orientation maps from electron backscatter diffraction imaging

Reference 3

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Observation 663a32ee-0847-45e6-b946-e1fb74c9e3bd · outbound

This paper cites Inferential statistics of electron backscatter diffraction data from within individual crystalline grains.

Topology of Shape and Data in Material Microstructures Inferential statistics of electron backscatter diffraction data from within individual crystalline grains

Reference 4

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Observation 61d1eda3-f33b-409e-a788-49bee0a80e25 · outbound

This paper cites Claire: A distributed-memory solver for constrained large deformation diffeomorphic image registration.

Topology of Shape and Data in Material Microstructures Claire: A distributed-memory solver for constrained large deformation diffeomorphic image registration

Reference 5

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Observation 326b2586-a9de-41fa-bd49-aca0ea1a4cb0 · outbound

This paper cites Morphometry of anatomical shape complexes with dense deformations and sparse parameters.

Topology of Shape and Data in Material Microstructures Morphometry of anatomical shape complexes with dense deformations and sparse parameters

Reference 6

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This paper cites Generative models for functional data using phase and amplitude separation.

Topology of Shape and Data in Material Microstructures Generative models for functional data using phase and amplitude separation

Reference 7

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Observation dc2ef5ea-4454-48a7-91dd-97b0edc870d1 · outbound

This paper cites Coherence-based underwater target detection from multiple disparate sonar platforms.

Topology of Shape and Data in Material Microstructures Coherence-based underwater target detection from multiple disparate sonar platforms

Reference 8

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This paper cites Elastic shape analysis of surfaces with second-order sobolev metrics: a comprehensive numerical framework.

Topology of Shape and Data in Material Microstructures Elastic shape analysis of surfaces with second-order sobolev metrics: a comprehensive numerical framework

Reference 9

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Observation e634894c-146f-4b51-882d-905bbacbb23c · outbound

This paper cites Shape analysis of elastic curves in euclidean spaces.

Topology of Shape and Data in Material Microstructures Shape analysis of elastic curves in euclidean spaces

Reference 10

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This paper cites Testing equality of cell populations based on shape and geodesic distance.

Topology of Shape and Data in Material Microstructures Testing equality of cell populations based on shape and geodesic distance

Reference 11

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Observation 6efa529e-f1cb-43bf-87f4-c158caecad47 · outbound

This paper cites Phg-net: Persistent homology guided medical image classification.

Topology of Shape and Data in Material Microstructures Phg-net: Persistent homology guided medical image classification

Reference 12

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Observation a53ceacd-5ba4-4c1b-b717-3c9d6ee14c32 · outbound

This paper cites Train-Free Segmentation in MRI with Cubical Persistent Homology.

Topology of Shape and Data in Material Microstructures Train-Free Segmentation in MRI with Cubical Persistent Homology

Reference 13

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This paper cites The persistent homology mathematical framework provides enhanced genotype-to-phenotype associations for plant morphology.

Topology of Shape and Data in Material Microstructures The persistent homology mathematical framework provides enhanced genotype-to-phenotype associations for plant morphology

Reference 14

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This paper cites Fast and accurate tumor segmentation of histology images using persistent homology and deep convolutional features.

Topology of Shape and Data in Material Microstructures Fast and accurate tumor segmentation of histology images using persistent homology and deep convolutional features

Reference 15

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Topology of Shape and Data in Material Microstructures Persistent-Homology-based Machine Learning and its Applications -- A Survey

Reference 16

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Observation b2bff3ff-d59e-442a-abe2-2b923be1bb08 · outbound

This paper cites A topological” reading” lesson: Classification of mnist using tda.

Topology of Shape and Data in Material Microstructures A topological” reading” lesson: Classification of mnist using tda

Reference 17

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This paper cites Noise robustness of persistent homology on greyscale images, across filtrations and signatures.

Topology of Shape and Data in Material Microstructures Noise robustness of persistent homology on greyscale images, across filtrations and signatures

Reference 18

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Observation f69f7d54-f966-459f-af40-2026c188f61c · outbound

This paper cites Electron backscatter diffraction in materials science , volume 2.

Topology of Shape and Data in Material Microstructures Electron backscatter diffraction in materials science , volume 2

Reference 19

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This paper cites Saville, Sven C.

Topology of Shape and Data in Material Microstructures Saville, Sven C

Reference 20

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This paper cites Location-specific microstructure characterization within in625 additive manufacturing benchmark test artifacts.

Topology of Shape and Data in Material Microstructures Location-specific microstructure characterization within in625 additive manufacturing benchmark test artifacts

Reference 21

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This paper cites Texture analysis with MTEX–free and open source software toolbox.

Topology of Shape and Data in Material Microstructures Texture analysis with MTEX–free and open source software toolbox

Reference 22

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This paper cites Prior, Andrew J.

Topology of Shape and Data in Material Microstructures Prior, Andrew J

Reference 23

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This paper cites Using grain boundary irregularity to quantify dynamic recrystallization in ice.

Topology of Shape and Data in Material Microstructures Using grain boundary irregularity to quantify dynamic recrystallization in ice

Reference 24

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Topology of Shape and Data in Material Microstructures Hielscher and H

Reference 25

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Topology of Shape and Data in Material Microstructures ASTM E1181-02R23: Test Methods for Characterizing Duplex Grain Sizes, 2023

Reference 26

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This paper cites ASTM E112-24: Test Methods for Determining A verage Grain Size, 2024.

Topology of Shape and Data in Material Microstructures ASTM E112-24: Test Methods for Determining A verage Grain Size, 2024

Reference 27

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Topology of Shape and Data in Material Microstructures ASTM E1382-97R23: Test Methods for Determining A verage Grain Size Using Semiautomatic and Automatic Image Analysis, 2023

Reference 28

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Topology of Shape and Data in Material Microstructures ASTM E45-18a:Test Methods for Determining the Inclusion Content of Steel, 2023

Reference 29

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Topology of Shape and Data in Material Microstructures ASTM E562-19: Test Method for Determining Volume Fraction by Systematic Manual Point Count, 2019

Reference 30

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Topology of Shape and Data in Material Microstructures ASTM E1245-03R23: Practice for Determining the Inclusion or Second-Phase Constituent Content of Metals by Automatic Image Analysis, 2023

Reference 31

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Topology of Shape and Data in Material Microstructures Graphs in statistical analysis

Reference 32

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Topology of Shape and Data in Material Microstructures Separable shape tensors for aerodynamic design

Reference 33

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This paper cites Explainable binary classification of separable shape ensembles.

Topology of Shape and Data in Material Microstructures Explainable binary classification of separable shape ensembles

Reference 34

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This paper cites ASTM E930-18: Test Methods for Estimating the Largest Grain Observed in a Metallographic Section (ALA Grain Size), 2018.

Topology of Shape and Data in Material Microstructures ASTM E930-18: Test Methods for Estimating the Largest Grain Observed in a Metallographic Section (ALA Grain Size), 2018

Reference 35

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This paper cites Topological data analysis in medical imaging: current state of the art.

Topology of Shape and Data in Material Microstructures Topological data analysis in medical imaging: current state of the art

Reference 36

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This paper cites An Introduction to Multiparameter Persistence.

Topology of Shape and Data in Material Microstructures An Introduction to Multiparameter Persistence

Reference 37

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Topology of Shape and Data in Material Microstructures The theory of multidimensional persistence

Reference 38

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Observation 7fe81fa3-6022-43b2-a239-2a08eadf6b9b · outbound

This paper cites Multiparameter persistent homology landscapes identify immune cell spatial patterns in tumors.

Topology of Shape and Data in Material Microstructures Multiparameter persistent homology landscapes identify immune cell spatial patterns in tumors

Reference 39

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Observation 70cedccb-86c1-4abb-8b3d-6eb66d3bafb7 · outbound

This paper cites A multi-parameter persistence framework for mathematical morphology.

Topology of Shape and Data in Material Microstructures A multi-parameter persistence framework for mathematical morphology

Reference 40

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Observation 887635c7-b851-4cb7-b7b5-a96c91d85944 · outbound

This paper cites Mix-geneo: A flexible filtration for multiparameter persistent homology detects digital images.

Topology of Shape and Data in Material Microstructures Mix-geneo: A flexible filtration for multiparameter persistent homology detects digital images

Reference 41

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Observation d1b2113e-0c85-420f-ab56-2578c5d0a3ae · outbound

This paper cites Temperature and strain controls on ice deformation mechanisms: insights from the microstructures of samples deformed to progressively higher strains at- 10,- 20 and- 30° c.

Topology of Shape and Data in Material Microstructures Temperature and strain controls on ice deformation mechanisms: insights from the microstructures of samples deformed to progressively higher strains at- 10,- 20 and- 30° c

Reference 42

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Observation 9d49f2f9-9201-426f-acf1-1d5639cd5061 · outbound

This paper cites Computational topology: an introduction.

Topology of Shape and Data in Material Microstructures Computational topology: an introduction

Reference 43

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Observation 2e7beaba-5b91-4985-87b1-15763a5882b8 · outbound

This paper cites Topology and data.

Topology of Shape and Data in Material Microstructures Topology and data

Reference 44

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Observation c9b1e45f-ffb2-402f-b3a8-ecdafbda190f · outbound

This paper cites Computing persistent homology.

Topology of Shape and Data in Material Microstructures Computing persistent homology

Reference 45

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Observation 4ff6c708-b371-4c4b-9eed-3010c4ef8c01 · outbound

This paper cites Algebraic topology.

Topology of Shape and Data in Material Microstructures Algebraic topology

Reference 46

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Observation 6cd032d1-012a-44ef-bda6-6029b0357799 · outbound

This paper cites Randomness of shapes and statistical inference on shapes via the smooth euler characteristic transform.

Topology of Shape and Data in Material Microstructures Randomness of shapes and statistical inference on shapes via the smooth euler characteristic transform

Reference 47

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Observation 04b40656-5084-4b81-8f8b-d9f2f0ab8692 · outbound

This paper cites Barcodes: the persistent topology of data.

Topology of Shape and Data in Material Microstructures Barcodes: the persistent topology of data

Reference 48

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Observation 3beb0d6a-0248-44c0-a629-9481cd4abb77 · outbound

This paper cites Fast construction of the vietoris-rips complex.

Topology of Shape and Data in Material Microstructures Fast construction of the vietoris-rips complex

Reference 49

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Observation 8fdec65a-82d2-4dfa-9aac-ece4fdc28348 · outbound

This paper cites Absil, R.

Topology of Shape and Data in Material Microstructures Absil, R

Reference 50

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Observation 4ac78aed-5051-4056-9448-fa4db328433f · outbound

This paper cites Statistics of shape via principal geodesic analysis on Lie groups.

Topology of Shape and Data in Material Microstructures Statistics of shape via principal geodesic analysis on Lie groups

Reference 51

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Observation 99c06069-6892-487e-96c3-d0ea529a21bc · outbound

This paper cites Javaplex: A research software package for persistent (co) homology.

Topology of Shape and Data in Material Microstructures Javaplex: A research software package for persistent (co) homology

Reference 52

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Observation 737eaf3d-0817-477b-a2c0-a89ed86f97c1 · outbound

This paper cites Black, J.C.

Topology of Shape and Data in Material Microstructures Black, J.C

Reference 53

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Observation 0d4e6de7-8cb4-4950-ba73-5c7987729469 · outbound

This paper cites Mikhaylovskaya, O.A.

Topology of Shape and Data in Material Microstructures Mikhaylovskaya, O.A

Reference 54

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