# Bidimensional Empirical Mode Decomposition Using Various Interpolation Techniques

@article{Bhuiyan2009BidimensionalEM, title={Bidimensional Empirical Mode Decomposition Using Various Interpolation Techniques}, author={Sharif M. A. Bhuiyan and Nii O. Attoh-Okine and Kenneth E. Barner and Albert Y. Ayenu-Prah and Reza R. Adhami}, journal={Adv. Data Sci. Adapt. Anal.}, year={2009}, volume={1}, pages={309-338} }

Scattered data interpolation is an essential part of bidimensional empirical mode decomposition (BEMD) of an image. In the decomposition process, local maxima and minima of the image are extracted at each iteration and then interpolated to form the upper and the lower envelopes, respectively. The number of two-dimensional intrinsic mode functions resulting from the decomposition and their properties are highly dependent on the method of interpolation. Though a few methods of interpolation have…

## 48 Citations

### An Optimization Based Empirical Mode Decomposition Scheme for Images

- Mathematics, Computer Science
- 2012

A novel optimization problem is designed to achieve this decomposition which takes into account important features desired of the BEMD and is called Opt-BEMD, which minimizes in each iteration a smoothness functional subject to inequality constraints involving the strictly local extrema of the image.

### Bi-dimensional Empirical Mode Decomposition Algorithm Based on Particle Swarm-Fractal Interpolation

- Computer ScienceKSII Trans. Internet Inf. Syst.
- 2018

An image interpolation algorithm based on the particle swarm and fractal that can solve those problems of low efficiency and poor precision in the interpolation operation of bi-dimensional empirical mode decomposition and can also result in accurate and reliable bi- dimensional intrinsic modal functions with higher speed in the decomposition of the image.

### An improved bidimensional empirical mode decomposition: A mean approach for fast decomposition

- Engineering, BusinessSignal Process.
- 2014

### A Novel Approach of Edge Detection via a Fast and Adaptive Bidimensional Empirical Mode Decomposition Method

- Computer ScienceAdv. Data Sci. Adapt. Anal.
- 2010

A novel approach of edge detection is proposed that utilizes a bidimensional empirical mode decomposition (BEMD) method as the primary tool and is compared with several other edge detection methodologies, which include a combination of classical BemD and morphological processing, the Canny and Sobel edge detectors, as well as combinations of BEMD/FABEMD and Canny/Sobel edge detector.

### Bi-dimensional empirical mode decomposition (BEMD) algorithm based on particle swarm optimization-fractal interpolation

- Computer ScienceMultimedia Tools and Applications
- 2018

An image interpolation algorithm based on the particle swarm and fractal that solves the problem that the image cannot be decomposed to obtain accurate and reliable bi-dimensional intrinsic modal function, and realize the fast decomposition of the image.

### Hermite Interpolation Based Interval Shannon-Cosine Wavelet and Its Application in Sparse Representation of Curve

- MathematicsMathematics
- 2020

Using the wavelet transform defined in the infinite domain to process the signal defined in finite interval, the wavelet transform coefficients at the boundary are usually very large. It will bring…

### Morphological operation-based bi-dimensional empirical mode decomposition for automatic background removal of fringe patterns.

- PhysicsOptics express
- 2012

A modified bi-dimensional empirical mode decomposition (BEMD) method is proposed for sparsely decomposing a fringe pattern into two components, namely, a single intrinsic mode function (IMF) and a…

### Two-dimensional nonlinear geophysical data filtering using the multidimensional EEMD method

- Engineering
- 2014

### Smoothing Empirical Mode Decomposition: a Patch to Improve the Decomposed Accuracy

- Computer ScienceAdv. Data Sci. Adapt. Anal.
- 2010

This work proved the uniqueness of the decomposition under the weak limitation of spline fittings, and proposed a novel Smoothing Empirical Mode Decomposition (SEMD), which is quite stable and quantitatively similar to the optimization of EMD.

### Morphological operation-based bi-dimensional empirical mode decomposition for adaptive texture extraction of images

- Computer Science2012 5th International Congress on Image and Signal Processing
- 2012

A new bi-dimensional empirical mode decomposition (EMD) is proposed for sparsely decomposing a textured image into two components, namely, a single intrinsic mode function (IMF) and a residue. The…

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