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On the use of size functions for shape analysis
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-662-03039-4_7openalex-snapshot
Studying Shape Through Size Functions
inferredcites →https://doi.org/10.1007/bf00337644openalex-snapshot
The internal representation of solid shape with respect to vision
inferredcites →https://doi.org/10.1007/bf00365595openalex-snapshot
The singularities of the visual mapping
inferredcites →https://doi.org/10.1016/0031-3203(88)90055-6openalex-snapshot
On the minimum number of templates required for shift, rotation and size invariant pattern recognition
inferredcites →https://doi.org/10.1016/0734-189x(85)90095-7openalex-snapshot
“Form-invariant” topological mapping strategy for 2D shape recognition
inferredcites →https://doi.org/10.1016/s0734-189x(87)80162-7openalex-snapshot
Fast edge-only matching techniques for robot pattern recognition
inferredcites →https://doi.org/10.1017/s0004972700028574openalex-snapshot
A distance for similarity classes of submanifolds of a Euclidean space
inferredcites →https://doi.org/10.1109/tc.1972.5008949openalex-snapshot
Fourier Descriptors for Plane Closed Curves
inferredcites →https://doi.org/10.1109/tc.1977.5009272openalex-snapshot
Aircraft Identification by Moment Invariants
inferredcites →https://doi.org/10.1109/wqv.1993.262946openalex-snapshot
On the use of size functions for shape analysis
inferredcites →https://doi.org/10.1364/ao.15.001795openalex-snapshot
Position, rotation, and scale invariant optical correlation
inferredcites →https://doi.org/10.1364/ao.21.004012openalex-snapshot
Rotation-invariant digital pattern recognition using circular harmonic expansion
inferredcites →https://doi.org/10.1364/josaa.6.001544openalex-snapshot
Invariant pattern recognition, symmetry, and Radon transforms
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Percolating length scales from topological persistence analysis of micro‐ CT images of porous materials
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Using matching distance in size theory: A survey
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Betti numbers in multidimensional persistent homology are stable functions
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Necessary conditions for discontinuities of multidimensional persistent Betti numbers
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There Is More to Vision than Geometry—Reply to Pizlo, Rosenfeld, and Weiss
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Shape Recognition Via an a Contrario Model for Size Functions
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Deformation Energy for Size Functions
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Point selection: A new comparison scheme for size functions (With an application to monogram recognition)
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Persistent Homology for RNA Data Analysis
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Topological Data Analysis
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Persistence Based on LBP Scale Space
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Persistence-Based Pooling for Shape Pose Recognition
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Streaming Algorithm for Euler Characteristic Curves of Multidimensional Images
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Euclidean and Geodesic Distance Profiles
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Towards Integrative Machine Learning and Knowledge Extraction
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Persistent Topology for Natural Data Analysis — A Survey
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Persistent Betti Numbers for a Noise Tolerant Shape-Based Approach to Image Retrieval
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Metric Structures on Datasets: Stability and Classification of Algorithms
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The Persistence Space in Multidimensional Persistent Homology
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Size Functions and Formal Series
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Combining Persistent Homology and Invariance Groups for Shape Comparison
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The Theory of the Interleaving Distance on Multidimensional Persistence Modules
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Natural Pseudo-Distance and Optimal Matching between Reduced Size Functions
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Stable Comparison of Multidimensional Persistent Homology Groups with Torsion
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Persistence codebooks for topological data analysis
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Multidimensional Size Functions for Shape Comparison
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Efficient representation of size functions based on moments theory
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Removing uncertainty in neural networks
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k-means clustering for persistent homology
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Unitary similarity comparison of persistent homology groups
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A new method of estimating shape similarity
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Metric-topological approach to shape representation and recognition
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Aggregation models on hypergraphs
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Persistence-based handle and tunnel loops computation revisited for speed up
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Comparison of persistent homologies for vector functions: From continuous to discrete and back
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Decomposing filtered chain complexes: Geometry behind barcoding algorithms
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Suspension models for testing shape similarity methods
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A study on topological descriptors for the analysis of 3D surface texture
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A global reduction method for multidimensional size graphs
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Retrieval of trademark images by means of size functions
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A local approach for 3D object recognition through a set of size functions
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Reducing complexes in multidimensional persistent homology theory
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Size functions for comparing 3D models
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A new algorithm for computing the 2-dimensional matching distance between size functions
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Persistent homology and partial similarity of shapes
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Persistent Betti numbers for a noise tolerant shape-based approach to image retrieval
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Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids
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Networks beyond pairwise interactions: Structure and dynamics
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Spatiochemical Characterization of the Pancreas Using Mass Spectrometry Imaging and Topological Data Analysis
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Ollivier Persistent Ricci Curvature-Based Machine Learning for the Protein–Ligand Binding Affinity Prediction
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Persistent Directed Flag Laplacian (PDFL)-Based Machine Learning for Protein–Ligand Binding Affinity Prediction
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Molecular Screening with Liquid Chromatography Coupled to Ultra-High-Resolution Mass Spectrometry: Chromatographic Methods and Data Treatment for Application to Complex Organic Matter in Astrophysical Materials
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Size Functions and Morphological Transformations
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Computing Size Functions from Edge Maps
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Size Functions from a Categorical Viewpoint
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New methods for reducing size graphs
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Uniqueness of models in persistent homology: the case of curves
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One-dimensional reduction of multidimensional persistent homology
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Hypergraph-based persistent cohomology (HPC) for molecular representations in drug design
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Persistent spectral hypergraph based machine learning (PSH-ML) for protein-ligand binding affinity prediction
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Multi-Cover Persistence (MCP)-based machine learning for polymer property prediction
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Persistent homology: a tool to universally measure plant morphologies across organs and scales
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Active Particles Knead Three-Dimensional Gels into Porous Structures
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The Persistent Homology Mathematical Framework Provides Enhanced Genotype-to-Phenotype Associations for Plant Morphology
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Leukocyte classifications by size functions
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Persistence-Based Structural Recognition
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Aspect-based object recognition with size functions
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Medical Image Segmentation for Skin Lesion Detection via Topological Data Analysis
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Stable Topological Signatures for Points on 3D Shapes
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Stability for Inference with Persistent Homology Rank Functions
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Persistent spectral–based machine learning (PerSpect ML) for protein-ligand binding affinity prediction
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Tracing patterns and shapes in remittance and migration networks via persistent homology
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TURNING SHAPE DECISION PROBLEMS INTO MEASURES
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Describing shapes by geometrical-topological properties of real functions
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Analysis of Shoot Architecture Traits in Edamame Reveals Potential Strategies to Improve Harvest Efficiency
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From Trees to Barcodes and Back Again: Theoretical and Statistical Perspectives
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Why Topology for Machine Learning and Knowledge Extraction?
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A Topological Machine Learning Pipeline for Classification
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Isometry Invariant Shape Recognition of Projectively Perturbed Point Clouds by the Mergegram Extending 0D Persistence
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A New Approximation Algorithm for the Matching Distance in Multidimensional Persistence
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Computing homology and persistent homology using iterated Morse decomposition
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A Basic Topological Approach to the Continuity of the Size Function
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New Pseudodistances Associated with Reparametrization Invariant Seminorms
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Multidimensional persistent homology is stable
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Stability of multidimensional persistent homology with respect to domain perturbations
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Invariance properties of the Multidimensional matching distance in Persistent Topology and Homology
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Stable comparison of multidimensional persistent homology groups with torsion
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Reducing complexes in multidimensional persistent homology theory
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Combining persistent homology and invariance groups for shape comparison
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Position paper: Towards an observer-oriented theory of shape comparison
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Ollivier persistent Ricci curvature (OPRC) based molecular representation for drug design
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Topological Graph Neural Networks
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Stability in multidimensional Size Theory
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One-Dimensional Reduction of Multidimensional Persistent Homology
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Size Functions In Galaxy Morphology Classification
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Sign Language Recognition: an Application of the Theory of Size Functions.
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ADVANCES IN MULTIDIMENSIONAL SIZE THEORY
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Necessary conditions for discontinuities of multidimensional size functions
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Shape from Functions:Enhancing Geometrical-Topological Descriptors
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Stability and computation in multidimensional size theory
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Caractérisation moléculaire d’échantillons organiques complexes par spectrométrie de masse et chromatographie en phase liquide
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