Differentiation of discrete multidimensional signals

Authors:
H. Farid;E. P. Simoncelli
Affiliations:
Comput. Sci. Dept., Dartmouth Coll., Hanover, NH, USA;-
Venue:
IEEE Transactions on Image Processing
Year:
2004

Citing 0
Cited 19

Exposing digital forgeries in scientific images

MM&Sec '06 Proceedings of the 8th workshop on Multimedia and security
Exposing digital forgeries through chromatic aberration

MM&Sec '06 Proceedings of the 8th workshop on Multimedia and security
Extracting image orientation feature by using integration operator

Pattern Recognition
Detecting filtered cloning in digital images

Proceedings of the 9th workshop on Multimedia & security
Optical flow using color information: preliminary results

Proceedings of the 2008 ACM symposium on Applied computing
Real-time differentiation of the multi-dimensional sampled functions

SIP'08 Proceedings of the 7th WSEAS International Conference on Signal Processing
Automatic extraction of brushstroke orientation from paintings: POET: prevailing orientation extraction technique

Machine Vision and Applications
A Real-Time Vision System for Traffic Signs Recognition Invariant to Translation, Rotation and Scale

ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Estimating the 3D direction of a translating camera from a single motion-blurred image

Pattern Recognition Letters
Gradient estimation using wide support operators

IEEE Transactions on Image Processing
Minimal Surfaces in the Roto-Translation Group with Applications to a Neuro-Biological Image Completion Model

Journal of Mathematical Imaging and Vision
An adaptive fuzzy-inference-rule-based flexible model for automatic elastic image registration

IEEE Transactions on Fuzzy Systems
Estimating vignetting function from a single image for image authentication

Proceedings of the 12th ACM workshop on Multimedia and security
Line Search Multilevel Optimization as Computational Methods for Dense Optical Flow

SIAM Journal on Imaging Sciences
Object detection in multi-channel and multi-scale images based on the structural tensor

CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
A contrast invariant approach to motion estimation

Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Robust ear identification using sparse representation of local texture descriptors

Pattern Recognition
A comprehensive approach for sclera image quality measure

International Journal of Biometrics
Measurement of myocardial structure: 3d structure tensor analysis of high resolution MRI quantitatively compared to DT-MRI

STACOM'12 Proceedings of the third international conference on Statistical Atlases and Computational Models of the Heart: imaging and modelling challenges

Quantified Score

Hi-index	0.01

Visualization

Abstract

We describe the design of finite-size linear-phase separable kernels for differentiation of discrete multidimensional signals. The problem is formulated as an optimization of the rotation-invariance of the gradient operator, which results in a simultaneous constraint on a set of one-dimensional low-pass prefilter and differentiator filters up to the desired order. We also develop extensions of this formulation to both higher dimensions and higher order directional derivatives. We develop a numerical procedure for optimizing the constraint, and demonstrate its use in constructing a set of example filters. The resulting filters are significantly more accurate than those commonly used in the image and multidimensional signal processing literature.