From a modified ambrosio-tortorelli to a randomized part hierarchy tree

Authors:
Sibel Tari;Murat Genctav
Affiliations:
Department of Computer Engineering, Middle East Technical University, Ankara, Turkey;Department of Computer Engineering, Middle East Technical University, Ankara, Turkey
Venue:
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Year:
2011

Citing 20
Cited 2

Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations

Journal of Computational Physics
Topographic distance and watershed lines

Signal Processing - Special issue on mathematical morphology and its applications to signal processing
Shapes, shocks, and deformations I: the components of two-dimensional shape and the reaction-diffusion space

International Journal of Computer Vision
Sub-pixel distance maps and weighted distance transforms

Journal of Mathematical Imaging and Vision - Special issue on topology and geometry in computer vision
Extraction of shape skeletons from grayscale images

Computer Vision and Image Understanding
Matching Hierarchical Structures Using Association Graphs

IEEE Transactions on Pattern Analysis and Machine Intelligence
Curve evolution, differential morphology, and distance transforms applied to multiscale and eikonal problems

Fundamenta Informaticae - Special issue on mathematical morphology
A Common Framework for Curve Evolution, Segmentation and Anisotropic Diffusion

CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
A Computationally Efficient Shape Analysis via Level Sets

MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
A Non-Local Algorithm for Image Denoising

CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
An Axis-Based Representation for Recognition

ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Image Deblurring in the Presence of Impulsive Noise

International Journal of Computer Vision
Multiscale Joint Segmentation and Registration of Image Morphology

IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlocal Variational Image Deblurring Models in the Presence of Gaussian or Impulse Noise

SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Color Image Restoration Using Nonlocal Mumford-Shah Regularizers

EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Hierarchical Shape Decomposition via Level Sets

ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Mumford-Shah regularizer with spatial coherence

SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Ambrosio-tortorelli segmentation of stochastic images

ECCV'10 Proceedings of the 11th European conference on Computer vision: Part V
Recovery of surfaces with discontinuities by fusing shading and range data within a variational framework

IEEE Transactions on Image Processing
Variational approach for edge-preserving regularization using coupled PDEs

IEEE Transactions on Image Processing

Poisson Skeleton Revisited: a New Mathematical Perspective

Journal of Mathematical Imaging and Vision
From a Non-Local Ambrosio-Tortorelli Phase Field to a Randomized Part Hierarchy Tree

Journal of Mathematical Imaging and Vision

Quantified Score

Hi-index	0.00

Visualization

Abstract

We demonstrate the possibility of coding parts, features that are higher level than boundaries, using a modified AT field after augmenting the interaction term of the AT energy with a non-local term and weakening the separation into boundary/not-boundary phases. The iteratively extracted parts using the level curves with double point singularities are organized as a proper binary tree. Inconsistencies due to non-generic configurations for level curves as well as due to visual changes such as occlusion are successfully handled once the tree is endowed with a probabilistic structure. The work is a step in establishing the AT function as a bridge between low and high level visual processing.