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The structure of two-dimensional scalar fields with applications to 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/10.1002/zamm.19600400516openalex-snapshot
C. Berge, Théorie des graphes et ses applications. VIII + 277 S. m. 117 Abb. Paris 1958. Dunod Editeur. Preis geb. 3400 F
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J. Eells, jr., Singularities of Smooth Maps. (Notes on Mathematics and its Applications.) IX + 140 S. m. 31 Fig. New York/London/Paris 1967. Gordon and Breach. Preis geb. $ 5.50
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Grundlagen und Anwendungen der Informationstheorie
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Visual detection of spatial contrast; Influence of location in the visual field, target extent and illuminance level
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[QUALITATIVE INVESTIGATIONS ON CONTOURS AND SURFACE IN OPTICAL FIGURE PERCEPTION].
inferredcites →https://doi.org/10.1016/0042-6989(73)90188-0openalex-snapshot
Overlap of receptive field centers and representation of the visual field in the cat's optic tract
inferredcites →https://doi.org/10.1016/s0146-664x(77)80028-2openalex-snapshot
Computational techniques in the visual segmentation of static scenes
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The Scientific Papers of James Clerk Maxwell
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The Recognition of Faces
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The Measurement of Appearance
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Relations between the critical points of a real function of 𝑛 independent variables
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Early processing of visual information
inferredcites →https://doi.org/10.1109/tc.1976.1674638openalex-snapshot
A Ladder-Structured Decision Tree for Recognizing Tumors in Chest Radiographs
inferredcites →https://doi.org/10.1109/tc.1976.1674681openalex-snapshot
Representation of Random Waveforms by Relational Trees
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Sequential Hierarchical Scene Matching
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Flux, not retinal illumination, is what cat retinal ganglion cells really care about
inferredcites →https://doi.org/10.1364/josa.61.000001openalex-snapshot
Lightness and Retinex Theory
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Computation: Finite and Infinite Machines.
inferredcites →https://doi.org/10.3758/bf03198750openalex-snapshot
Visual field size necessary for length comparison

What points at this work

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

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A freeform shape optimization of complex structures represented by arbitrary polygonal or polyhedral meshes
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A Versatile Model-Based Visibility Measure for Geometric Primitives
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Calculations on Critical Points under Gaussian Blurring
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A Multiscale Geometric Model of Human Vision
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A Multiscale Geometric Model of Human Vision
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Monogenic Curvature Tensor as Image Model
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Mathematical Morphology in Hierarchical Image Representation
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Image Structure
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Image Analysis -Topological Methods
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Some Applications of Hierarchical Image Processing Algorithms
inferred← citeshttps://doi.org/10.1007/bf00204114openalex-snapshot
Generic properties of edges and “corners” on smooth greyvalue surfaces
inferred← citeshttps://doi.org/10.1007/bf00336961openalex-snapshot
The structure of images
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Perception of solid shape from shading
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Region-based strategies for active contour models
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Higher order differential structure of images
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The structure of images: 1984–2021
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Discrete Dynamical System Framework for Construction of Connections between Critical Regions in Lattice Height Data
inferred← citeshttps://doi.org/10.1007/s11263-007-0049-9openalex-snapshot
A Theory of Refractive and Specular 3D Shape by Light-Path Triangulation
inferred← citeshttps://doi.org/10.1016/0262-8856(94)90056-6openalex-snapshot
Higher order differential structure of images
inferred← citeshttps://doi.org/10.1016/0262-8856(95)01056-4openalex-snapshot
Metric-topological approach to shape representation and recognition
inferred← citeshttps://doi.org/10.1016/0262-8856(95)91145-4openalex-snapshot
Superficial and deep structure in linear diffusion scale space: isophotes, critical points and separatrices
inferred← citeshttps://doi.org/10.1016/0262-8856(95)99719-hopenalex-snapshot
Relief: pictorial and otherwise
inferred← citeshttps://doi.org/10.1016/0303-2647(94)01447-fopenalex-snapshot
A shape representation for computer vision based on differential topology
inferred← citeshttps://doi.org/10.1016/s0734-189x(87)80015-4openalex-snapshot
Neural dynamics of surface perception: Boundary webs, illuminants, and shape-from-shading
inferred← citeshttps://doi.org/10.1016/s0734-189x(89)80018-0openalex-snapshot
The visual potential: One convex polygon
inferred← citeshttps://doi.org/10.1023/a:1007915908780openalex-snapshot
Topographical Properties of Generic Images
inferred← citeshttps://doi.org/10.1023/a:1008304909717openalex-snapshot
The Topological Structure of Scale-Space Images
inferred← citeshttps://doi.org/10.1023/a:1012337631473openalex-snapshot
The Sensitivity of Neurons in the Lateral Geniculate Body of the Cat to the Orientation Vectors of Brightness Gradients
inferred← citeshttps://doi.org/10.1023/a:1022168617945openalex-snapshot
Scale Space Hierarchy
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Partitioning 3D surface meshes using watershed segmentation
inferred← citeshttps://doi.org/10.1109/iccv.2005.26openalex-snapshot
A theory of refractive and specular 3D shape by light-path triangulation
inferred← citeshttps://doi.org/10.1109/iccv.2005.79openalex-snapshot
Dynamic refraction stereo
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Two-Dimensional Critical Point Configuration Graphs
inferred← citeshttps://doi.org/10.1109/tpami.1986.4767769openalex-snapshot
On Edge Detection
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Dynamic Refraction Stereo
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Representing Shape: Bumps, Level Set Graphs, and Gaussian Curvature
inferred← citeshttps://doi.org/10.1590/s0102-79721997000200008openalex-snapshot
Sombras como indicadores da percepção de profundidade
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Pictorial surface attitude and local depth comparisons
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