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In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
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Synthetic division is an efficient algorithmic approach for dividing a polynomial by a linear binomial of the form x - c, where c is a real number. This method is helpful due to its streamlined process, which avoids the more cumbersome steps involved in the traditional long division of polynomials. It simplifies computation and serves as a practical tool for evaluating polynomials and identifying their factors.To perform synthetic division, one begins by listing the coefficients of the...
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A Robust Handwritten Numeral Recognition Using Hybrid Orthogonal Polynomials and Moments.

Sadiq H Abdulhussain1, Basheera M Mahmmod1, Marwah Abdulrazzaq Naser2

  • 1Department of Computer Engineering, University of Baghdad, Al-Jadriya 10071, Iraq.

Sensors (Basel, Switzerland)
|April 3, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a novel handwritten numeral recognition method using Hybrid Orthogonal Polynomials. The approach achieves high accuracy, even in noisy conditions, outperforming existing methods and convolutional neural networks.

Keywords:
Krawtchouk polynomialsTchebichef polynomialscharacter recognitionorthogonal momentsorthogonal polynomialssupport vector machine

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Area of Science:

  • Computer Science
  • Artificial Intelligence
  • Pattern Recognition

Background:

  • Numeral recognition is vital for optical character recognition and document understanding.
  • Existing methods struggle with accuracy and speed, especially in noisy environments.
  • Robust handwritten numeral recognition is crucial for real-world applications.

Purpose of the Study:

  • To propose a novel, fast, and robust handwritten numeral recognition scheme.
  • To enhance feature extraction efficiency and classification accuracy.
  • To evaluate the method's performance in both clean and noisy environments.

Main Methods:

  • Utilized Hybrid Orthogonal Polynomials for gradient and smoothed feature extraction.
  • Employed the embedded image kernel technique to reduce feature extraction complexity.
  • Used Support Vector Machine (SVM) for numeral classification.
  • Evaluated on Roman, Arabic, and Devanagari numeral datasets.

Main Results:

  • The proposed method achieved high recognition accuracy across all tested datasets.
  • Demonstrated significant robustness against noise distortion.
  • Outperformed Convolutional Neural Networks (CNNs) in noisy environments.
  • Achieved comparable or superior accuracy to state-of-the-art methods.

Conclusions:

  • The Hybrid Orthogonal Polynomials scheme offers a feasible and effective solution for handwritten numeral recognition.
  • The method excels in practical, noisy environments, surpassing current benchmarks.
  • This approach provides a robust alternative to existing numeral recognition techniques.