Image Analysis Using Multigrid Relaxation Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Curve representations in multiple resolutions
Pattern Recognition Letters
The adaptive pyramid: a framework for 2D image analysis
CVGIP: Image Understanding
The computation of optical flow
ACM Computing Surveys (CSUR)
Gaussian pyramid wavelet transform for multiresolution analysis of images
Graphical Models and Image Processing
Applied numerical linear algebra
Applied numerical linear algebra
A multigrid tutorial (2nd ed.)
A multigrid tutorial (2nd ed.)
Multigrid
Vision for Mobile Robot Navigation: A Survey
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Space Theory in Computer Vision
Scale-Space Theory in Computer Vision
Linear Scale-Space has First been Proposed in Japan
Journal of Mathematical Imaging and Vision
Pattern Recognition Letters - Special issue: Graph-based representations in pattern recognition
On the Axioms of Scale Space Theory
Journal of Mathematical Imaging and Vision
Spherical Diffusion for 3D Surface Smoothing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Insect-inspired estimation of egomotion
Neural Computation
Conditional semicoarsening multigrid algorithm for the Poisson equation on anisotropic grids
Journal of Computational Physics
Coarse to over-fine optical flow estimation
Pattern Recognition
A Third Eye for Performance Evaluation in Stereo Sequence Analysis
CAIP '09 Proceedings of the 13th International Conference on Computer Analysis of Images and Patterns
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 2
Decomposition and construction of neighbourhood operations using linear algebra
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
A pyramid that grows by powers of 2
Pattern Recognition Letters
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The pyramid transform compresses images while preserving global features such as edges and segments. The pyramid transform is efficiently used in optical flow computation starting from planar images captured by pinhole camera systems, since the propagation of features from coarse sampling to fine sampling allows the computation of both large displacements in low-resolution images sampled by a coarse grid and small displacements in high-resolution images sampled by a fine grid. The image pyramid transform involves the resizing of an image by downsampling after convolution with the Gaussian kernel. Since the convolution with the Gaussian kernel for smoothing is derived as the solution of a linear diffusion equation, the pyramid transform is performed by applying a downsampling operation to the solution of the linear diffusion equation.