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Mathematical methods in shape-from-shading: A review of recent results

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1001/archopht.1952.01700030123016openalex-snapshot
Perception of the Visual World
inferredcites →https://doi.org/10.1007/978-1-4612-5703-5openalex-snapshot
Geometric Theory of Dynamical Systems
inferredcites →https://doi.org/10.1007/978-1-4684-0158-5openalex-snapshot
Variational Calculus with Elementary Convexity
inferredcites →https://doi.org/10.1007/978-3-030-34995-0openalex-snapshot
Computer Vision Systems
inferredcites →https://doi.org/10.1007/bf00133699openalex-snapshot
Shape from patterns: Regularization
inferredcites →https://doi.org/10.1007/bf00363944openalex-snapshot
Shape from texture
inferredcites →https://doi.org/10.1007/bf01389538openalex-snapshot
On the multi-level splitting of finite element spaces
inferredcites →https://doi.org/10.1007/bfb0014884openalex-snapshot
Fast shape from shading
inferredcites →https://doi.org/10.1016/0004-3702(77)90020-0openalex-snapshot
Understanding image intensities
inferredcites →https://doi.org/10.1016/0004-3702(81)90019-9openalex-snapshot
Recovering surface shape and orientation from texture
inferredcites →https://doi.org/10.1016/0004-3702(81)90021-7openalex-snapshot
Interpreting line drawings as three-dimensional surfaces
inferredcites →https://doi.org/10.1016/0004-3702(81)90022-9openalex-snapshot
Analysing images of curved surfaces
inferredcites →https://doi.org/10.1016/0004-3702(81)90023-0openalex-snapshot
Numerical shape from shading and occluding boundaries
inferredcites →https://doi.org/10.1016/0004-3702(84)90010-9openalex-snapshot
Detection of surface orientation and motion from texture by a stereological technique
inferredcites →https://doi.org/10.1016/0004-3702(84)90025-0openalex-snapshot
Shape from regular patterns
inferredcites →https://doi.org/10.1016/0004-3702(85)90026-8openalex-snapshot
Improved methods of estimating shape from shading using the light source coordinate system
inferredcites →https://doi.org/10.1016/0004-3702(86)90017-2openalex-snapshot
Shading into texture
inferredcites →https://doi.org/10.1016/0004-3702(86)90052-4openalex-snapshot
Perceptual organization and the representation of natural form
inferredcites →https://doi.org/10.1016/0004-3702(89)90066-0openalex-snapshot
Shape from texture: General principle
inferredcites →https://doi.org/10.1016/0004-3702(90)90011-nopenalex-snapshot
Shape from texture
inferredcites →https://doi.org/10.1016/0004-3702(90)90076-copenalex-snapshot
Estimation of surface topography from SAR imagery using shape from shading techniques
inferredcites →https://doi.org/10.1016/0019-1035(75)90043-3openalex-snapshot
Generalized photoclinometry for Mariner 9
inferredcites →https://doi.org/10.1016/0022-247x(81)90161-xopenalex-snapshot
Some remarks on the shape-from-shading problem in computer vision
inferredcites →https://doi.org/10.1016/0031-3203(76)90020-0openalex-snapshot
The psychology of computer vision
inferredcites →https://doi.org/10.1016/0146-664x(74)90022-7openalex-snapshot
Determining lightness from an image
inferredcites →https://doi.org/10.1016/0262-8856(85)90002-2openalex-snapshot
On describing complex surface shapes
inferredcites →https://doi.org/10.1016/0262-8856(85)90006-xopenalex-snapshot
Surface descriptions from stereo and shading
inferredcites →https://doi.org/10.1016/0734-189x(83)90020-8openalex-snapshot
Multilevel computational processes for visual surface reconstruction
inferredcites →https://doi.org/10.1016/0734-189x(83)90095-6openalex-snapshot
An implementation of a computational theory of visual surface interpolation
inferredcites →https://doi.org/10.1016/0734-189x(84)90137-3openalex-snapshot
Binocular shading and visual surface reconstruction
inferredcites →https://doi.org/10.1016/0734-189x(85)90163-xopenalex-snapshot
Discontinuity detection for visual surface reconstruction
inferredcites →https://doi.org/10.1016/0734-189x(86)90114-3openalex-snapshot
The variational approach to shape from shading
inferredcites →https://doi.org/10.1016/0734-189x(90)90057-3openalex-snapshot
Shape from texture using the Wigner distribution
inferredcites →https://doi.org/10.1016/0885-064x(85)90025-1openalex-snapshot
Optimal algorithms for image understanding: Current status and future plans
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/s0146-664x(76)80005-6openalex-snapshot
Texture gradient as a depth cue
inferredcites →https://doi.org/10.1038/317314a0openalex-snapshot
Computational vision and regularization theory
inferredcites →https://doi.org/10.1038/scientificamerican1290-60openalex-snapshot
The Surface of Venus
inferredcites →https://doi.org/10.1063/1.525441openalex-snapshot
The eikonal equation: some results applicable to computer vision
inferredcites →https://doi.org/10.1109/21.44062openalex-snapshot
Pyramid implementation of optimal-step conjugate-search algorithms for some low-level vision problems
inferredcites →https://doi.org/10.1109/34.3909openalex-snapshot
A method for enforcing integrability in shape from shading algorithms
inferredcites →https://doi.org/10.1109/34.55103openalex-snapshot
Direct analytical methods for solving Poisson equations in computer vision problems
inferredcites →https://doi.org/10.1109/34.6779openalex-snapshot
On the imaging of fractal surfaces
inferredcites →https://doi.org/10.1109/5.5962openalex-snapshot
Ill-posed problems in early vision
inferredcites →https://doi.org/10.1109/5.5963openalex-snapshot
Some computational aspects of low-level computer vision
inferredcites →https://doi.org/10.1109/5.5964openalex-snapshot
Visual shape computation
inferredcites →https://doi.org/10.1109/ccv.1988.590017openalex-snapshot
Shape Information From Shading: A Theory About Human Perception
inferredcites →https://doi.org/10.1109/cvpr.1988.196278openalex-snapshot
Algorithms for shape from shading and occluding boundaries
inferredcites →https://doi.org/10.1109/cvpr.1988.196284openalex-snapshot
Shape from texture using the Wigner distribution
inferredcites →https://doi.org/10.1109/cvpr.1988.196286openalex-snapshot
New algorithms from reconstruction of a 3-D depth map from one or more images
inferredcites →https://doi.org/10.1109/cvpr.1989.37871openalex-snapshot
Multiresolution shape from shading
inferredcites →https://doi.org/10.1109/iccv.1990.139548openalex-snapshot
Shape from texture: the homogeneity hypothesis
inferredcites →https://doi.org/10.1109/icpr.1990.118117openalex-snapshot
Shape from textured and shaded surface
inferredcites →https://doi.org/10.1109/icpr.1990.118124openalex-snapshot
Shape from texture and contour by weak isotropy
inferredcites →https://doi.org/10.1109/icpr.1990.118127openalex-snapshot
Existence and uniqueness in shape from shading
inferredcites →https://doi.org/10.1109/proc.1981.11918openalex-snapshot
Hill shading and the reflectance map
inferredcites →https://doi.org/10.1109/proc.1984.13073openalex-snapshot
Extended Gaussian images
inferredcites →https://doi.org/10.1109/tgrs.1982.4307522openalex-snapshot
Application and Experimental Verification of an Empirical Backscattering Cross Section Model for the Earth's Surface
inferredcites →https://doi.org/10.1109/tgrs.1987.289818openalex-snapshot
Lognormal Random-Field Models and Their Applications to Radar Image Synthesis
inferredcites →https://doi.org/10.1109/tpami.1983.4767427openalex-snapshot
Efficient Recovery of Shape from Texture
inferredcites →https://doi.org/10.1109/tpami.1984.4767501openalex-snapshot
Local Shading Analysis
inferredcites →https://doi.org/10.1109/tpami.1984.4767521openalex-snapshot
An Extremum Principle for Shape from Contour
inferredcites →https://doi.org/10.1109/tpami.1984.4767557openalex-snapshot
Multiple Resolution Texture Analysis and Classification
inferredcites →https://doi.org/10.1109/tpami.1984.4767591openalex-snapshot
Fractal-Based Description of Natural Scenes
inferredcites →https://doi.org/10.1109/tpami.1985.4767733openalex-snapshot
Surface Curvature as a Measure of Image Texture
inferredcites →https://doi.org/10.1109/tpami.1986.4767807openalex-snapshot
Regularization of Inverse Visual Problems Involving Discontinuities
inferredcites →https://doi.org/10.1117/12.959167openalex-snapshot
Using Digital Terrain Data To Model Image Formation In Remote Sensing
inferredcites →https://doi.org/10.1126/science.224.4645.153openalex-snapshot
Topography from Single Radar Images
inferredcites →https://doi.org/10.1137/0324060openalex-snapshot
Diffusions for Global Optimization
inferredcites →https://doi.org/10.1137/0707049openalex-snapshot
On Direct Methods for Solving Poisson’s Equations
inferredcites →https://doi.org/10.1364/ao.18.001770openalex-snapshot
Calculating the reflectance map
inferredcites →https://doi.org/10.1364/josa.72.000448openalex-snapshot
Finding the illuminant direction
inferredcites →https://doi.org/10.2307/1418003openalex-snapshot
The Perception of Visual Surfaces
inferredcites →https://doi.org/10.2307/1419017openalex-snapshot
The Perception of the Visual World
inferredcites →https://doi.org/10.2307/2006360openalex-snapshot
Solutions of Ill-Posed Problems.
inferredcites →https://doi.org/10.7551/mitpress/3132.001.0001openalex-snapshot
From Images to Surfaces
inferredcites →https://doi.org/10.7551/mitpress/7132.001.0001openalex-snapshot
Visual Reconstruction

What points at this work

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

inferred← citeshttps://doi.org/10.1007/0-306-48551-6_5openalex-snapshot
Shape From Shading Models
inferred← citeshttps://doi.org/10.1007/1-4020-4179-9_16openalex-snapshot
NOISE REDUCTION IN PHOTOMETRIC STEREO WITH NON-DISTANT LIGHT SOURCES
inferred← citeshttps://doi.org/10.1007/3-540-36586-9_27openalex-snapshot
Denoising Images: Non-linear Leap-Frog for Shape and Light-Source Recovery
inferred← citeshttps://doi.org/10.1007/978-3-319-30285-0_7openalex-snapshot
Integrated Parallel 2D-Leap-Frog Algorithm for Noisy Three Image Photometric Stereo
inferred← citeshttps://doi.org/10.1007/978-3-319-46418-3_57openalex-snapshot
2D-Leap-Frog and Removal of Outliers in Noisy Photometric Stereo with Non-distant Illuminations
inferred← citeshttps://doi.org/10.1007/bf00872223openalex-snapshot
A variational approach to multi-sensor fusion of images
inferred← citeshttps://doi.org/10.1017/s0022143000002392openalex-snapshot
Improving digital elevation models over ice sheets using AVHRR-based photoclinometry
inferred← citeshttps://doi.org/10.1023/b:visi.0000027788.50090.b6openalex-snapshot
Noise Reduction in Surface Reconstruction from a Given Gradient Field
inferred← citeshttps://doi.org/10.1080/01431161.2012.705446openalex-snapshot
Combining airborne lidar and Landsat ETM+ data with photoclinometry to produce a digital elevation model for Langjökull, Iceland
inferred← citeshttps://doi.org/10.1109/36.739066openalex-snapshot
Boundary conditions and fast algorithms for surface reconstructions from synthetic aperture radar data
inferred← citeshttps://doi.org/10.1109/83.506759openalex-snapshot
Recovery of surfaces with discontinuities by fusing shading and range data within a variational framework
inferred← citeshttps://doi.org/10.1109/icpr.1992.201527openalex-snapshot
Surface reconstruction from disparate shading: an integration of shape-from-shading and stereopsis
inferred← citeshttps://doi.org/10.1109/icpr.2002.1047415openalex-snapshot
A piecewise quadratic approach to single image shape from shading
inferred← citeshttps://doi.org/10.1109/tgrs.2017.2773364openalex-snapshot
A Method of Repeat Photoclinometry for Detecting Kilometer-Scale Ice Sheet Surface Evolution
inferred← citeshttps://doi.org/10.1364/josaa.11.000118openalex-snapshot
Revisiting Pentland’s estimator of light source direction
inferred← citeshttps://doi.org/10.17863/cam.11240openalex-snapshot
Recent Changes to Langjökull Icecap, Iceland: An investigation integrating airborne LiDAR and satellite imagery
inferred← citeshttps://doi.org/10.3390/rs15164065openalex-snapshot
Satellite-Based Identification and Characterization of Extreme Ice Features: Hummocks and Ice Islands
inferred← citeshttps://doi.org/10.3390/s23115129openalex-snapshot
Analysis of Polarization Detector Performance Parameters on Polarization 3D Imaging Accuracy
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