The finite ridgelet transform for image representation

Authors:
M. N. Do;M. Vetterli
Affiliations:
Dept. of Commun. Syst., Swiss Fed. Inst. of Technol., Lausanne, Switzerland;-
Venue:
IEEE Transactions on Image Processing
Year:
2003

Citing 0
Cited 67

Ridgelet Transform Based on Reveillès Discrete Lines

DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Image denoising with complex ridgelets

Pattern Recognition
Texture classification using ridgelet transform

Pattern Recognition Letters
Geometrical multi-resolution network based on ridgelet frame

Signal Processing
A comparison of wavelet, ridgelet, and curvelet-based texture classification algorithms in computed tomography

Computers in Biology and Medicine
Remote sensing image fusion using the curvelet transform

Information Fusion
Texture classification using ridgelet transform

Pattern Recognition Letters
Generalised finite radon transform for N x N images

Image and Vision Computing
A new digital implementation of ridgelet transform for images of dyadic length

Journal of Network and Computer Applications
Multivariate Statistical Models for Image Denoising in the Wavelet Domain

International Journal of Computer Vision
Ridgelet kernel regression

Neurocomputing
Palmprint verification based on principal lines

Pattern Recognition
Palmprint verification based on robust line orientation code

Pattern Recognition
Palmprint verification based on robust line orientation code

Pattern Recognition
A high performance parallel Radon based OFDM transceiver design and simulation

Digital Signal Processing
Energy-based adaptive transform scheme in the DPRT domain and its application to image denoising

Signal Processing
Incremental constructive ridgelet neural network

Neurocomputing
Radar target recognition using contourlet packet transform and neural network approach

Signal Processing
Template Protection for On-Line Signature-Based Recognition Systems

Biometrics and Identity Management
Ridgelet-based fake fingerprint detection

Neurocomputing
Texture analysis for ulcer detection in capsule endoscopy images

Image and Vision Computing
Low bit rate SAR image coding based on adaptive multiscale Bandelets and cooperative decision

Signal Processing
Curvelet based face recognition via dimension reduction

Signal Processing
Rotation- and scale-invariant texture classification using log-polar and ridgelet transforms

Machine Graphics & Vision International Journal
A linear ridgelet network

Neurocomputing
Range-spread target detection based on cross time-frequency distribution features of two adjacent received signals

IEEE Transactions on Signal Processing
M-band ridgelet transform based texture classification

Pattern Recognition Letters
Directional Hartley transform and content based image retrieval

Signal Processing
Hybrid video coding model of finite ridgelet transform and H.264/AVC

PCS'09 Proceedings of the 27th conference on Picture Coding Symposium
Image fusion based on a new contourlet packet

Information Fusion
An efficient fingerprint image compression technique based on wave atoms decomposition and multistage vector quantization

Integrated Computer-Aided Engineering
Rotation invariant pattern recognition using ridgelets, wavelet cycle-spinning and Fourier features

Pattern Recognition
Texture classification using finite Ridgelet transform and support vector machines

PRICAI'06 Proceedings of the 9th Pacific Rim international conference on Artificial intelligence
Filter banks, wavelets, and frames with applications in computer vision and image processing (a review)

SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
Texture classification using combined image decomposition methods

Machine Graphics & Vision International Journal
A novel Radon-based multi-carrier direct sequence code division multiple access transceiver design and simulation

International Journal of Communication Networks and Distributed Systems
A generic fingerprint image compression technique based on wave atoms decomposition

ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Combining local filtering and multiscale analysis for edge, ridge, and curvilinear objects detection

IEEE Transactions on Image Processing
An innovative contactless palm print and knuckle print recognition system

Pattern Recognition Letters
Quantum-inspired immune clone algorithm and multiscale Bandelet based image representation

Pattern Recognition Letters
Maximum likelihood orientation estimation of 1-D patterns in laguerre-gauss subspaces

IEEE Transactions on Image Processing
Ripplet: A new transform for image processing

Journal of Visual Communication and Image Representation
Efficient Fourier-wavelet super-resolution

IEEE Transactions on Image Processing - Special section on distributed camera networks: sensing, processing, communication, and implementation
A comparison of multi-resolution methods for detection and isolation of pavement distress

Expert Systems with Applications: An International Journal
Directional filtering transform for image/intra-frame compression

IEEE Transactions on Image Processing
Shape from focus using fast discrete curvelet transform

Pattern Recognition
Texture compression of light maps using smooth profile functions

Proceedings of the Conference on High Performance Graphics
Approximation of functions with spatial inhomogeneity based on "true" ortho-ridgelet neural network

Applied Soft Computing
Extreme and incremental learning based single-hidden-layer regularization ridgelet network

Neurocomputing
Human face recognition based on multidimensional PCA and extreme learning machine

Pattern Recognition
A N-Radon Based OFDM Trasceivers Design and Performance Simulation Over Different Channel Models

Wireless Personal Communications: An International Journal
Multiresolution analysis using wavelet, ridgelet, and curvelet transforms for medical image segmentation

Journal of Biomedical Imaging - Special issue on Machine Learning in Medical Imaging
Embedding image watermarks into local linear singularity coefficients in ridgelet domain

VSMM'06 Proceedings of the 12th international conference on Interactive Technologies and Sociotechnical Systems
A multiresolution framework for local similarity based image denoising

Pattern Recognition
Interactive content based image retrieval using ripplet transform and fuzzy relevance feedback

PerMIn'12 Proceedings of the First Indo-Japan conference on Perception and Machine Intelligence
Rotation Invariant Curvelet Features for Region Based Image Retrieval

International Journal of Computer Vision
A radon slantlet transforms based OFDM system design and performance simulation under different channel conditions

ISRN Communications and Networking
Texture extraction: An evaluation of ridgelet, wavelet and co-occurrence based methods applied to mammograms

Expert Systems with Applications: An International Journal
Face recognition in 2D and 2.5D using ridgelets and photometric stereo

Pattern Recognition
Face recognition by curvelet based feature extraction

ICIAR'07 Proceedings of the 4th international conference on Image Analysis and Recognition
Modified curvelet transform with vocabulary tree for content based image retrieval

Digital Signal Processing
Robust algorithm for detection of copy-move forgery in digital images based on ridgelet transform

AICI'12 Proceedings of the 4th international conference on Artificial Intelligence and Computational Intelligence
A method for reverse engineering of material microstructure for heterogeneous CAD

Computer-Aided Design
A Radon-Multiwavelet Based OFDM System Design and Simulation Under Different Channel Conditions

Wireless Personal Communications: An International Journal
A 4-quadrant curvelet transform for denoising digital images

International Journal of Automation and Computing
Computer generated images vs. digital photographs: A synergetic feature and classifier combination approach

Journal of Visual Communication and Image Representation
Computation of level lines of 4-/8-connectedness

Journal of Visual Communication and Image Representation

Quantified Score

Hi-index	0.02

Visualization

Abstract

The ridgelet transform was introduced as a sparse expansion for functions on continuous spaces that are smooth away from discontinuities along lines. We propose an orthonormal version of the ridgelet transform for discrete and finite-size images. Our construction uses the finite Radon transform (FRAT) as a building block. To overcome the periodization effect of a finite transform, we introduce a novel ordering of the FRAT coefficients. We also analyze the FRAT as a frame operator and derive the exact frame bounds. The resulting finite ridgelet transform (FRIT) is invertible, nonredundant and computed via fast algorithms. Furthermore, this construction leads to a family of directional and orthonormal bases for images. Numerical results show that the FRIT is more effective than the wavelet transform in approximating and denoising images with straight edges.