Application of the Secant Method in the Computation of Equation Roots for Digital Image Processing
DOI:
https://doi.org/10.63876/jets.v1i1.5Keywords:
secant method, Digital Image Processing, Root Search, Python Implementation, MathematicsAbstract
This paper explores the application of the secant method in the context of root-finding problems within digital image processing, with practical implementation using the Python programming language. Root-finding is a critical component in various image processing algorithms, such as segmentation, edge detection, and pattern matching. The secant method is a well-established numerical technique used across multiple disciplines, and in this context, we adapt it to address the root-finding challenges encountered in digital image processing. The primary objective of this paper is to elucidate the secret method and provide practical implementation guidelines in Python. We demonstrate how the secant method can be employed to solve nonlinear equations commonly encountered in digital image processing. This practical implementation is complemented by real-world case examples, where the secant method is applied to solve specific issues in image processing, such as finding roots of intensity functions or pattern matching. The results of implementing the secant method indicate that it can be an effective alternative for solving root-finding problems in digital image processing. With advantages in computational resource constraints and good convergence speed, the secant method becomes an attractive choice for various applications in applied mathematics. Through this paper, we aim to provide a valuable guide for practitioners in digital image processing and applied mathematics who are interested in harnessing the potential of the secant method as a powerful tool for solving root-finding problems in their respective applications.
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