Deblurring Algorithms: Chinese Remainder Theorem, Residual Method, and More

I have uploaded fundamental programs for solving deblurring problems. These implementations include the Chinese Remainder Theorem (CRT) algorithm for solving systems of congruences and residual methods for error correction and precision enhancement. The CRT implementation typically involves modular arithmetic operations and inverse calculations using the extended Euclidean algorithm, while residual methods employ difference calculations and iterative refinement techniques. These programs significantly improve computational accuracy and efficiency through optimized mathematical operations and can be applied across various domains such as finance (for cryptographic systems), scientific computing (signal processing), and technological applications (image deblurring). Furthermore, studying these implementations helps developers better understand mathematical concepts and programming techniques, particularly in handling modular arithmetic, algorithm optimization, and precision management. The code structure typically includes modular functions for coefficient calculation, remainder processing, and result verification phases. Ultimately, these programs provide substantial benefits for resolving ambiguity problems and advancing technological development through robust mathematical implementations.