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Uniqueness in shape from shading
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-1-4612-5703-5openalex-snapshot
Geometric Theory of Dynamical Systems
inferredcites →https://doi.org/10.1007/978-1-4757-4307-4_4openalex-snapshot
Ordinary Differential Equations
inferredcites →https://doi.org/10.1016/0004-3702(76)90008-4openalex-snapshot
The psychology of computer vision
inferredcites →https://doi.org/10.1016/0031-3203(76)90020-0openalex-snapshot
The psychology of computer vision
inferredcites →https://doi.org/10.1016/b978-0-12-164902-9.50012-5openalex-snapshot
Structural Stability Theorems**Research for this chapter was done at Northwestern University, and was partially supported by NSF Grant GP 19815. [AMS classification 58F10.]
inferredcites →https://doi.org/10.1016/s0079-8169(08)x6044-1openalex-snapshot
Differential Equations, Dynamical Systems, and Linear Algebra
inferredcites →https://doi.org/10.1063/1.525441openalex-snapshot
The eikonal equation: some results applicable to computer vision
inferredcites →https://doi.org/10.1109/cvpr.1991.139753openalex-snapshot
Shape from shading as a partially well-constrained problem
inferredcites →https://doi.org/10.1109/icpr.1990.118127openalex-snapshot
Existence and uniqueness in shape from shading
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1006/aama.1995.1012openalex-snapshot
Some Remarks on Shape from Shading
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Shape-from-Shading by Iterative Fast Marching for Vertical and Oblique Light Sources
inferred← citeshttps://doi.org/10.1007/1-4020-4179-9_16openalex-snapshot
NOISE REDUCTION IN PHOTOMETRIC STEREO WITH NON-DISTANT LIGHT SOURCES
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Theoretical Analysis of Finite Difference Algorithms for Linear Shape from Shading
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Shadows, Shading, and Projective Ambiguity
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An algorithm for a linear shape-from-shading problem
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A divide-and-conquer strategy in recovering shape of book surface from shading
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On the classification of singular points for the global shape from shading problem: A study of the constraints imposed by isophotes
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Second-Order Algebraic Surfaces and Two Image Photometric Stereo
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3D Digitization of Tangible Heritage
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Conjugate Gradient in Noisy Photometric Stereo
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Integrated Parallel 2D-Leap-Frog Algorithm for Noisy Three Image Photometric Stereo
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Orthogonal Illuminations in Two Light-Source Photometric Stereo
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2D-Leap-Frog and Removal of Outliers in Noisy Photometric Stereo with Non-distant Illuminations
inferred← citeshttps://doi.org/10.1007/978-3-319-78199-0_22openalex-snapshot
A Graph Theoretic Approach for Shape from Shading
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Unifying Approaches and Removing Unrealistic Assumptions in Shape from Shading: Mathematics Can Help
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Novel Shape-From-Shading Methodology with Specular Reflectance Using Wavelet Networks
inferred← citeshttps://doi.org/10.1007/978-3-642-77785-1_24openalex-snapshot
Exact Shape from Shading and Integrability
inferred← citeshttps://doi.org/10.1007/bf00872223openalex-snapshot
A variational approach to multi-sensor fusion of images
inferred← citeshttps://doi.org/10.1007/bf01249892openalex-snapshot
Local shape approximation from shading
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Three-dimensional shape from color photometric stereo
inferred← citeshttps://doi.org/10.1007/bf01539551openalex-snapshot
Shape from shading: Level set propagation and viscosity solutions
inferred← citeshttps://doi.org/10.1007/bf02943145openalex-snapshot
Existence and uniqueness in shape from shading
inferred← citeshttps://doi.org/10.1007/bfb0028359openalex-snapshot
Shape from shading: Provably convergent algorithms and uniqueness results
inferred← citeshttps://doi.org/10.1007/s00009-017-0946-2openalex-snapshot
Regularized Quadratic Penalty Methods for Shape from Shading
inferred← citeshttps://doi.org/10.1007/s10851-006-6899-xopenalex-snapshot
A Unifying and Rigorous Shape from Shading Method Adapted to Realistic Data and Applications
inferred← citeshttps://doi.org/10.1007/s10851-014-0512-5openalex-snapshot
Solving Uncalibrated Photometric Stereo Using Total Variation
inferred← citeshttps://doi.org/10.1007/s10851-016-0636-xopenalex-snapshot
Analysis and Approximation of Some Shape-from-Shading Models for Non-Lambertian Surfaces
inferred← citeshttps://doi.org/10.1007/s11263-008-0175-zopenalex-snapshot
Estimating Facial Reflectance Properties Using Shape-from-Shading
inferred← citeshttps://doi.org/10.1007/s11263-010-0396-9openalex-snapshot
Variable-Source Shading Analysis
inferred← citeshttps://doi.org/10.1007/s11263-017-1025-7openalex-snapshot
Depth Sensing Using Geometrically Constrained Polarization Normals
inferred← citeshttps://doi.org/10.1007/s12145-025-01967-xopenalex-snapshot
Martian Swiss Cheese detection and volume estimation using shape from shading in very high-resolution imagery
inferred← citeshttps://doi.org/10.1016/0096-3003(94)00127-popenalex-snapshot
On complete integrals and uniqueness in shape from shading
inferred← citeshttps://doi.org/10.1016/0167-8655(95)00104-2openalex-snapshot
Some results: Shape from shading as a fully well-constrained problem
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A computational model for shape estimation by integration of shading and edge information
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Shape from shading as a partially well-constrained problem
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Image analysis and computer vision: 1991
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Numerical methods for shape-from-shading: A new survey with benchmarks
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Photometric stereo with only two images: A theoretical study and numerical resolution
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Boundaries, shading, and border ownership: A cusp at their interaction
inferred← citeshttps://doi.org/10.1023/a:1008176402209openalex-snapshot
Introduction: Computer Vision Research at NECI
inferred← citeshttps://doi.org/10.1023/a:1008249420974openalex-snapshot
Uniqueness in Shape from Shading Revisited
inferred← citeshttps://doi.org/10.1023/a:1008361021281openalex-snapshot
Ambiguous Shape from Shading with Critical Points
inferred← citeshttps://doi.org/10.1023/a:1012369907247openalex-snapshot
Symmetric Shape-from-Shading Using Self-ratio Image
inferred← citeshttps://doi.org/10.1023/a:1026510403689openalex-snapshot
Closed Form Solution of Local Shape from Shading at Critical Points
inferred← citeshttps://doi.org/10.1063/1.4992578openalex-snapshot
Bifurcations in two-image photometric stereo for orthogonal illuminations
inferred← citeshttps://doi.org/10.1098/rsfs.2018.0019openalex-snapshot
Colour, contours, shading and shape: flow interactions reveal anchor neighbourhoods
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Parametric shape-from-shading by radial basis functions
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Boundary conditions and fast algorithms for surface reconstructions from synthetic aperture radar data
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Learning shape from shading by a multilayer network
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Range synthesis for 3D environment modeling
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Solving the shape-from-shading problem on the CM-5
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Inter-image statistics for scene reconstruction
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3-D reconstruction for SMT solder joint based on joint shadow
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A Cue to Shading: Elongations near Intensity Maxima
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Shape from shading as a partially well-constrained problem
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A simple algorithm for shape from shading
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Direct method for reconstructing shape from shading
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Local shape approximation from shading
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Illumination-insensitive face recognition using symmetric shape-from-shading
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Shape from Shading: Recognizing the Mountains through a Global View
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3D shape reconstruction of Mooney faces
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Shape estimation in natural illumination
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Recovering 3D facial shape from a single image
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A global algorithm for shape from shading
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A note on existence and uniqueness in shape from shading
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Shape from texture and integrability
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Polarized 3D: High-Quality Depth Sensing with Polarization Cues
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Shape from shading with specular highlights: Analysis of the Phong model
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Direct computation of shape from shading
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Depth from defocus vs. stereo: how different really are they?
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On identification of singular points using photometric invariants for global shape from shading problem
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Range synthesis for 3D environment modeling
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Statistical inference and synthesis in the image domain for mobile robot environment modeling
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3D Shape Reconstruction from a Single Image
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Stereo, Shading, and Surfaces: Curvature Constraints Couple Neural Computations
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Linear perspective shape-from-shading method with two images
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A multiresolution approach for shape shading coupling deterministic and stochastic optimization
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A Two-Level Generative Model for Cloth Representation and Shape from Shading
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From Shading to Local Shape
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Lawn-mowing algorithm for noisy gradient vector fields
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2D leapfrog algorithm for optimal surface reconstruction
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Application of computer algebra for the reconstruction of surfaces from their photometric stereo images
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Application of Computer Algebra to Photometric Stereo with Two Light Sources
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Application of Computer Algebra to the Reconstruction of Surface from Its Photometric Images
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Perspective Shape from Shading: Ambiguity Analysis and Numerical Approximations
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A Direct Differential Approach to Photometric Stereo with Perspective Viewing
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How Shading Constrains Surface Patches without Knowledge of Light Sources
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Critical Contours: An Invariant Linking Image Flow with Salient Surface Organization
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VISION ENGINEERING: DESIGNING COMPUTER VISION SYSTEMS
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Surface reconstruction from photometric stereo images
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Solutions Near Singular Points to the Eikonal and Related First Order Non-linear Partial Differential Equations in Two Independent Variables
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Automated Enhancement of 3D Models
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3D Reconstruction From A Single Image Based On Shape Evolution
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Ultra-High-Resolution 1 m/pixel CaSSIS DTM Using Super-Resolution Restoration and Shape-from-Shading: Demonstration over Oxia Planum on Mars
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Perception of local orientation from shaded images
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3D Facial Shape Reconstruction from a Single Frontal Image
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Automated modeling of reflectance properties for industrial plant primitives
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Characterizing Ambiguity in Light Source Invariant Shape from Shading
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Solutions near singular points to the eikonal and related first-order nonlinear partial differential equations in two independent variables
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Plant canopy modeling from Terrestrial LiDAR System distance and intensity data
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Fusion d'approches photométriques et géométriques pour la création de modèles 3D
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