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Deep Structure, Singularities, and Computer Vision
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/cviu.1996.0062openalex-snapshot
Geometric Heat Equation and Nonlinear Diffusion of Shapes and Images
inferredcites →https://doi.org/10.1006/jdeq.1995.1019openalex-snapshot
Local Morse Theory for Solutions to the Heat Equation and Gaussian Blurring
inferredcites →https://doi.org/10.1006/jvci.1999.0439openalex-snapshot
Reconciling Distance Functions and Level Sets
inferredcites →https://doi.org/10.1007/0-387-28831-7openalex-snapshot
Handbook of Mathematical Models in Computer Vision
inferredcites →https://doi.org/10.1007/11408031_25openalex-snapshot
The Structure of Shapes Scale Space Aspects of the (pre-) Symmetry Set
inferredcites →https://doi.org/10.1007/11408031_37openalex-snapshot
On Image Reconstruction from Multiscale Top Points
inferredcites →https://doi.org/10.1007/11408031_7openalex-snapshot
Discrete Representation of Top Points via Scale Space Tessellation
inferredcites →https://doi.org/10.1007/11577812_12openalex-snapshot
Deep Structure from a Geometric Point of View
inferredcites →https://doi.org/10.1007/11577812_17openalex-snapshot
Computing 3D Symmetry Sets; A Case Study
inferredcites →https://doi.org/10.1007/11577812_3openalex-snapshot
Essential Loops and Their Relevance for Skeletons and Symmetry Sets
inferredcites →https://doi.org/10.1007/3-540-44935-3_1openalex-snapshot
On Manifolds in Gaussian Scale Space
inferredcites →https://doi.org/10.1007/3-540-44935-3_25openalex-snapshot
Temporal Structure Tree in Digital Linear Scale Space
inferredcites →https://doi.org/10.1007/3-540-44935-3_3openalex-snapshot
Content Based Image Retrieval Using Multiscale Top Points
inferredcites →https://doi.org/10.1007/3-540-45054-8_39openalex-snapshot
Divergence-Based Medial Surfaces
inferredcites →https://doi.org/10.1007/3-540-47778-0_15openalex-snapshot
On the Behavior of Spatial Critical Points under Gaussian Blurring A Folklore Theorem and Scale-Space Constraints
inferredcites →https://doi.org/10.1007/3-540-47977-5_48openalex-snapshot
Shock-Based Indexing into Large Shape Databases
inferredcites →https://doi.org/10.1007/3-540-48432-9_1openalex-snapshot
A Hamiltonian Approach to the Eikonal Equation
inferredcites →https://doi.org/10.1007/3-540-63167-4_46openalex-snapshot
Following feature lines across scale
inferredcites →https://doi.org/10.1007/978-1-4757-6465-9openalex-snapshot
Scale-Space Theory in Computer Vision
inferredcites →https://doi.org/10.1007/978-3-540-24671-8_25openalex-snapshot
From a 2D Shape to a String Structure Using the Symmetry Set
inferredcites →https://doi.org/10.1007/978-3-540-27868-9_55openalex-snapshot
On Extending Symmetry Sets for 2D Shapes
inferredcites →https://doi.org/10.1007/978-94-015-8802-7_14openalex-snapshot
Multi-Scale Watershed Segmentation
inferredcites →https://doi.org/10.1007/978-94-015-8802-7_4openalex-snapshot
On the History of Gaussian Scale-Space Axiomatics
inferredcites →https://doi.org/10.1007/978-94-017-1699-4_14openalex-snapshot
A Differential Geometric Approach to Anisotropic Diffusion
inferredcites →https://doi.org/10.1007/bf00375127openalex-snapshot
Axioms and fundamental equations of image processing
inferredcites →https://doi.org/10.1007/s00500-002-0171-0openalex-snapshot
Towards a singularity-based shape language: ridges, ravines, and skeletons for polygonal surfaces
inferredcites →https://doi.org/10.1007/s10851-005-0481-9openalex-snapshot
Using Catastrophe Theory to Derive Trees from Images
inferredcites →https://doi.org/10.1007/s10851-006-8372-2openalex-snapshot
Alternative 2D Shape Representations using the Symmetry Set
inferredcites →https://doi.org/10.1007/s11263-006-6703-9openalex-snapshot
A Linear Image Reconstruction Framework Based on Sobolev Type Inner Products
inferredcites →https://doi.org/10.1007/s11263-006-8067-6openalex-snapshot
Editorial: Special issue for the 5th International Conference on Scale-Space and PDE Methods in Computer Vision
inferredcites →https://doi.org/10.1016/0022-5193(73)90175-6openalex-snapshot
Biological shape and visual science (part I)
inferredcites →https://doi.org/10.1016/0167-2789(92)90242-fopenalex-snapshot
Nonlinear total variation based noise removal algorithms
inferredcites →https://doi.org/10.1016/0262-8856(95)91145-4openalex-snapshot
Superficial and deep structure in linear diffusion scale space: isophotes, critical points and separatrices
inferredcites →https://doi.org/10.1016/b978-0-08-051581-6.50036-2openalex-snapshot
SCALE-SPACE FILTERING
inferredcites →https://doi.org/10.1016/j.jphysparis.2003.09.003openalex-snapshot
On the role of medial geometry in human vision
inferredcites →https://doi.org/10.1016/j.patcog.2003.07.008openalex-snapshot
Review of shape representation and description techniques
inferredcites →https://doi.org/10.1016/j.patcog.2004.04.014openalex-snapshot
Mutual information aspects of scale space images
inferredcites →https://doi.org/10.1016/s0262-8856(97)00091-7openalex-snapshot
Iso-surface extraction in nD applied to tracking feature curves across scale
inferredcites →https://doi.org/10.1016/s0262-8856(98)00130-9openalex-snapshot
Shapes, shocks and wiggles
inferredcites →https://doi.org/10.1017/s0308210500018369openalex-snapshot
Global theorems for symmetry sets of smooth curves and polygons in the plane
inferredcites →https://doi.org/10.1017/s030821050001917xopenalex-snapshot
Growth, motion and 1-parameter families of symmetry sets
inferredcites →https://doi.org/10.1023/a:1008102926703openalex-snapshot
Shock Graphs and Shape Matching
inferredcites →https://doi.org/10.1023/a:1008344623873openalex-snapshot
Linear Scale-Space has First been Proposed in Japan
inferredcites →https://doi.org/10.1023/a:1011229911541openalex-snapshot
Boundary Smoothing via Symmetry Transforms
inferredcites →https://doi.org/10.1023/a:1023761518825openalex-snapshot
On the Local Form and Transitions of Symmetry Sets, Medial Axes, and Shocks
inferredcites →https://doi.org/10.1023/b:jmiv.0000024043.96722.aaopenalex-snapshot
On the Axioms of Scale Space Theory
inferredcites →https://doi.org/10.1023/b:visi.0000013091.14851.24openalex-snapshot
The Relevance of Non-Generic Events in Scale Space Models
inferredcites →https://doi.org/10.1088/0266-5611/18/1/312openalex-snapshot
Nonlinear anisotropic diffusion filtering for multiscale edge enhancement
inferredcites →https://doi.org/10.1090/s0025-5718-04-01688-6openalex-snapshot
A convergent difference scheme for the infinity Laplacian: construction of absolutely minimizing Lipschitz extensions
inferredcites →https://doi.org/10.1109/34.254054openalex-snapshot
Hierarchical decomposition and axial shape description
inferredcites →https://doi.org/10.1109/34.42861openalex-snapshot
A hitherto unnoticed singularity of scale-space
inferredcites →https://doi.org/10.1109/34.56189openalex-snapshot
A multiresolution hierarchical approach to image segmentation based on intensity extrema
inferredcites →https://doi.org/10.1109/34.56205openalex-snapshot
Scale-space and edge detection using anisotropic diffusion
inferredcites →https://doi.org/10.1109/34.809105openalex-snapshot
Matching hierarchical structures using association graphs
inferredcites →https://doi.org/10.1109/83.661188openalex-snapshot
An axiomatic approach to image interpolation
inferredcites →https://doi.org/10.1109/cmpsac.1994.342797openalex-snapshot
Hierarchic shape description via singularity and multiscaling
inferredcites →https://doi.org/10.1109/cvpr.1996.517119openalex-snapshot
A shock grammar for recognition
inferredcites →https://doi.org/10.1109/cvpr.1999.784723openalex-snapshot
Perceptual organization via the symmetry map and symmetry transforms
inferredcites →https://doi.org/10.1109/cvpr.2000.855849openalex-snapshot
Robust and efficient skeletal graphs
inferredcites →https://doi.org/10.1109/iccv.1999.791243openalex-snapshot
Symmetry maps of free-form curve segments via wave propagation
inferredcites →https://doi.org/10.1109/iccv.2001.10050openalex-snapshot
Recognition of Shapes by Editing Shock Graphs
inferredcites →https://doi.org/10.1109/iccv.2001.937665openalex-snapshot
Hierarchical pre-segmentation without prior knowledge
inferredcites →https://doi.org/10.1109/icip.1997.638807openalex-snapshot
Image coupling, restoration and enhancement via PDE's
inferredcites →https://doi.org/10.1109/icip.2005.1529796openalex-snapshot
Geometric skeletonization using the symmetry set
inferredcites →https://doi.org/10.1109/icpr.2006.782openalex-snapshot
Matching 2D Shapes using their Symmetry Sets
inferredcites →https://doi.org/10.1109/sma.2001.923384openalex-snapshot
On evolute cusps and skeleton bifurcations
inferredcites →https://doi.org/10.1109/tip.2003.815252openalex-snapshot
The hierarchical structure of images
inferredcites →https://doi.org/10.1109/tip.2005.864184openalex-snapshot
PDE-based image restoration: a hybrid model and color image denoising
inferredcites →https://doi.org/10.1109/tpami.2003.1206518openalex-snapshot
On the intrinsic reconstruction of shape from its symmetries
inferredcites →https://doi.org/10.1137/050624522openalex-snapshot
Variable Exponent, Linear Growth Functionals in Image Restoration
inferredcites →https://doi.org/10.1137/0729052openalex-snapshot
Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
inferredcites →https://doi.org/10.1142/5965openalex-snapshot
The Dissimilarity Representation for Pattern Recognition
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/11577812_5openalex-snapshot
Deep Structure of Images in Populations Via Geometric Models in Populations
inferred← citeshttps://doi.org/10.1007/11577812_6openalex-snapshot
Estimating the Statistics of Multi-object Anatomic Geometry Using Inter-object Relationships
inferred← citeshttps://doi.org/10.1007/11577812_7openalex-snapshot
Histogram Statistics of Local Model-Relative Image Regions
inferred← citeshttps://doi.org/10.1007/978-1-4471-2353-8_1openalex-snapshot
A Short Introduction to Diffusion-Like Methods
inferred← citeshttps://doi.org/10.1007/978-3-540-72823-8_25openalex-snapshot
Scale-Space Clustering with Recursive Validation
inferred← citeshttps://doi.org/10.1007/978-3-540-72823-8_31openalex-snapshot
Generic Maximum Likely Scale Selection
inferred← citeshttps://doi.org/10.1007/978-3-540-72823-8_57openalex-snapshot
Blur Invariant Image Priors
inferred← citeshttps://doi.org/10.1007/978-3-540-73040-8_48openalex-snapshot
Line-Stepping for Shell Meshes
inferred← citeshttps://doi.org/10.1007/978-3-540-73273-0_9openalex-snapshot
Joint Sulci Detection Using Graphical Models and Boosted Priors
inferred← citeshttps://doi.org/10.1007/978-3-540-73499-4_17openalex-snapshot
Critical Scale for Unsupervised Cluster Discovery
inferred← citeshttps://doi.org/10.1007/978-3-540-75757-3_31openalex-snapshot
Automatic Segmentation of Bladder and Prostate Using Coupled 3D Deformable Models
inferred← citeshttps://doi.org/10.1007/978-3-540-85988-8_57openalex-snapshot
Particle-Based Shape Analysis of Multi-object Complexes
inferred← citeshttps://doi.org/10.1007/978-3-540-88693-8_24openalex-snapshot
Riemannian Anisotropic Diffusion for Tensor Valued Images
inferred← citeshttps://doi.org/10.1007/978-3-642-00826-9_16openalex-snapshot
Statistical Computing on Manifolds: From Riemannian Geometry to Computational Anatomy
inferred← citeshttps://doi.org/10.1007/978-3-642-02256-2_70openalex-snapshot
Transitions of a Multi-scale Image Hierarchy Tree
inferred← citeshttps://doi.org/10.1007/978-3-642-02326-2_47openalex-snapshot
Maximum Membership Scale Selection
inferred← citeshttps://doi.org/10.1007/978-3-642-02498-6_51openalex-snapshot
Oriented Morphometry of Folds on Surfaces
inferred← citeshttps://doi.org/10.1007/978-3-642-22092-0_23openalex-snapshot
Anisotropic Diffusion of Tensor Fields for Fold Shape Analysis on Surfaces
inferred← citeshttps://doi.org/10.1007/978-3-642-24785-9_26openalex-snapshot
Bifurcation of Segment Edge Curves in Scale Space
inferred← citeshttps://doi.org/10.1007/978-3-642-27413-8_24openalex-snapshot
Fitting a Surface to One of Its Sectional Planar Curves Using Adaptive Trees in Spaces of Curves
inferred← citeshttps://doi.org/10.1007/s10851-006-8372-2openalex-snapshot
Alternative 2D Shape Representations using the Symmetry Set
inferred← citeshttps://doi.org/10.1007/s10851-008-0080-7openalex-snapshot
Second Order Structure of Scale-Space Measurements
inferred← citeshttps://doi.org/10.1007/s10851-010-0217-3openalex-snapshot
A New Tensorial Framework for Single-Shell High Angular Resolution Diffusion Imaging
inferred← citeshttps://doi.org/10.1007/s10851-012-0341-3openalex-snapshot
On the Local Form and Transitions of Pre-symmetry Sets
inferred← citeshttps://doi.org/10.1007/s10851-014-0509-0openalex-snapshot
Notes on Discrete Gaussian Scale Space
inferred← citeshttps://doi.org/10.1007/s10851-016-0646-8openalex-snapshot
Morphological Counterparts of Linear Shift-Invariant Scale-Spaces
inferred← citeshttps://doi.org/10.1016/j.cviu.2008.06.001openalex-snapshot
Exploring and exploiting the structure of saddle points in Gaussian scale space
inferred← citeshttps://doi.org/10.1016/j.imavis.2012.08.010openalex-snapshot
Scale selection for supervised image segmentation
inferred← citeshttps://doi.org/10.1016/j.media.2009.05.004openalex-snapshot
Statistical shape models for 3D medical image segmentation: A review
inferred← citeshttps://doi.org/10.1016/j.media.2010.06.004openalex-snapshot
Segmenting the prostate and rectum in CT imagery using anatomical constraints
inferred← citeshttps://doi.org/10.1016/j.neuroimage.2019.116405openalex-snapshot
Enforcing necessary non-negativity constraints for common diffusion MRI models using sum of squares programming
inferred← citeshttps://doi.org/10.1117/12.2043584openalex-snapshot
Active shape models with optimised texture features for radiotherapy
inferred← citeshttps://doi.org/10.4169/amer.math.monthly.119.05.398openalex-snapshot
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