The Computation of Visible-Surface Representations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast Surface Interpolation Using Hierarchical Basis Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Direct Analytical Methods for Solving Poisson Equations in Computer Vision Problems
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiple Resolution Segmentation of Textured Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Two-Stage Algorithm for Discontinuity-Preserving Surface Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiresolution stochastic hybrid shape models with fractal priors
ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
Hierarchical spacetime control
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Hierarchical and variational geometric modeling with wavelets
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
A Fast Scalable Algorithm for Discontinuous Optical Flow Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Graphical Templates for Model Registration
IEEE Transactions on Pattern Analysis and Machine Intelligence
A fast Gibbs sampler for synthesizing constrained fractals
Proceedings of the 7th conference on Visualization '96
Motion Estimation with Quadtree Splines
IEEE Transactions on Pattern Analysis and Machine Intelligence
Neural networks and dynamic complex systems
ANSS '89 Proceedings of the 22nd annual symposium on Simulation
Anisotropic diffusion for Monte Carlo noise reduction
ACM Transactions on Graphics (TOG)
Segmentation of Color Textures
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scattered Data Interpolation with Multilevel B-Splines
IEEE Transactions on Visualization and Computer Graphics
The L/sub 2/-Polynomial Spline Pyramid
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale Space Tracking and Deformable Sheet Models for Computational Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Bayesian Image Restoration: An Application to Edge-Preserving Surface Recovery
IEEE Transactions on Pattern Analysis and Machine Intelligence
Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multimodal Estimation of Discontinuous Optical Flow using Markov Random Fields
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast Surface Interpolation using Multiresolution Wavelet Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Poisson Solvers and Semi-Direct Methods for Computing Area Based Optical Flow
IEEE Transactions on Pattern Analysis and Machine Intelligence
A New Algorithm for Energy Minimization with Discontinuities
EMMCVPR '99 Proceedings of the Second International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
A Hierarchical Markov Random Field Model for Figure-Ground Segregation
EMMCVPR '01 Proceedings of the Third International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
A Fast Spectral Method for Active 3D Shape Reconstruction
Journal of Mathematical Imaging and Vision
Adaptive Grid Refinement Procedures for Efficient Optical Flow Computation
International Journal of Computer Vision
3D reconstruction of single picture
VIP '05 Proceedings of the Pan-Sydney area workshop on Visual information processing
International Journal of Computer Vision
3D-spline reconstruction using shape from shading: Spline from shading
Image and Vision Computing
An Efficient Morphological Active Surface Model for Volumetric Image Segmentation
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
IJCAI'91 Proceedings of the 12th international joint conference on Artificial intelligence - Volume 2
Recovering high dynamic range by Multi-Exposure Retinex
Journal of Visual Communication and Image Representation
A PDE formalization of retinex theory
IEEE Transactions on Image Processing
Control of the Effects of Regularization on Variational Optic Flow Computations
Journal of Mathematical Imaging and Vision
Multigrid and multilevel preconditioners for computational photography
Proceedings of the 2011 SIGGRAPH Asia Conference
A Total Variation Model for Retinex
SIAM Journal on Imaging Sciences
Line Search Multilevel Optimization as Computational Methods for Dense Optical Flow
SIAM Journal on Imaging Sciences
Optic flow from multi-scale dynamic anchor point attributes
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part I
A physically-motivated deformable model based on fluid dynamics
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
A multilevel approach for nonnegative matrix factorization
Journal of Computational and Applied Mathematics
Retinex by two bilateral filters
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Discontinuity-preserving computation of variational optic flow in real-time
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
A multigrid approach to image processing
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
On the effects of normalization in adaptive MRF hierarchies
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
Multi-scale integration of slope data on an irregular mesh
PSIVT'11 Proceedings of the 5th Pacific Rim conference on Advances in Image and Video Technology - Volume Part I
A robust multi-scale integration method to obtain the depth from gradient maps
Computer Vision and Image Understanding
Pyramid transform and scale-space analysis in image analysis
Proceedings of the 15th international conference on Theoretical Foundations of Computer Vision: outdoor and large-scale real-world scene analysis
Color constancy, intrinsic images, and shape estimation
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part IV
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Image analysis problems, posed mathematically as variational principles or as partial differential equations, are amenable to numerical solution by relaxation algorithms that are local, iterative, and often parallel. Although they are well suited structurally for implementation on massively parallel, locally interconnected computational architectures, such distributed algorithms are seriously handi capped by an inherent inefficiency at propagating constraints between widely separated processing elements. Hence, they converge extremely slowly when confronted by the large representations of early vision. Application of multigrid methods can overcome this drawback, as we showed in previous work on 3-D surface reconstruction. In this paper, we develop multiresolution iterative algorithms for computing lightness, shape-from-shading, and optical flow, and we examine the efficiency of these algorithms using synthetic image inputs. The multigrid methodology that we describe is broadly applicable in early vision. Notably, it is an appealing strategy to use in conjunction with regularization analysis for the efficient solution of a wide range of ill-posed image analysis problems.