Improving Convergence and Accuracy in Multimodal Medical Image Analysis

This study investigates an enhanced Newton–Raphson framework for improving convergence, accuracy, and computational efficiency in multimodal medical image analysis and treatment-related numerical modeling. The proposed framework combines adaptive step-size control, improved initial-guess strategies, and hybrid numerical schemes. Performance is evaluated using iteration count, absolute residual error, error-reduction percentage, convergence stability, and computational time. The framework is intended for applications including MRI tumor analysis, CT reconstruction, disease-progression modeling, and treatment optimization. A MATLAB implementation is provided to make the adaptive mechanism explicit. The study also discusses integration with machine-learning pipelines and practical limitations involving dataset availability, scalability, robustness, and clinical adoption.

Convergence methods, Newton-Raphson method, medical diagnosis, treatment optimization

1. Tripathi, N. & Srivastava, N. OPTIMIZATION PROBLEMS SOLVED BY DIFFERENT PLATFORMS SAY OPTIMUM TOOL BOX (MATLAB) AND EXCEL SOLVER. International Research Journal of Engineering and Technology (2017). [Google Scholar] [Crossref]

2. Tripathi, N. A Novel Approach for Production Planning for Deteriorating Items with Logarithmic Demand. World Academics Journal of Research Paper. Management vol. 7 www.isroset.org (2019). [Google Scholar] [Crossref]

3. Tripathi, N. A New Technique Developed for production planning using parabolic demand by Laplace Transform. International Journal of Scientific Research in Research Paper. Multidisciplinary Studies E 5, 49–55 (2019). [Google Scholar] [Crossref]

4. Tripathi, N. & Garg, A. K. Exploring the Impact of Mathematical Software and Its Result Shown on Higher Education. International Journal of Scientific Research in Research Paper. Computer Science and Engineering 10, 14–17 (2022). [Google Scholar] [Crossref]

5. Tripathi, N. Computational Thinking for Mathematics and Sciences: an Overview of Learning Approach. International Journal of Scientific Research in Research Paper Mathematical and Statistical Sciences 69–74 (2020). [Google Scholar] [Crossref]

6. Tripathi Assistant Professor, N. INTERNATIONAL JOURNAL OF HIGHER EDUCATION AND RESEARCH IJHER QUADRUPLE IMPACT SHOWS ON IFMS USING E. A. AND MIXED MONOTONE PROPERTY. vol. 12 www.ijher.com. [Google Scholar] [Crossref]

7. Tripathi, N. IJHER DETECT INNOVATIVE TECHNIQUE OF INVARIANTIDEAS WITH ROTATING BALLS IN F G-MEASURED SPACES. INTERNATIONAL JOURNAL OF HIGHER EDUCATION AND RESEARCH (WWW.IJHER.COM) Page-101 INTERNATIONAL JOURNAL OF HIGHER EDUCATION AND RESEARCH IJHER vol. 13 www.ijher.com. [Google Scholar] [Crossref]

8. Tripathi, N. And Cubic Equation. International Journal of Higher Education and Research ( IJHER 10, 254–271 (2020). [Google Scholar] [Crossref]

9. Tripathi Assistant Professor, N. INTERNATIONAL JOURNAL OF HIGHER EDUCATION AND RESEARCH IJHER INVESTIGATING THE IMPACT OF MATHEMATICAL SOFTWARE FOR TEACHING AND ITS EFFECT SHOWS ON STUDENT ACHIEVEMENT LEVEL. vol. 12 www.ijher.com. [Google Scholar] [Crossref]

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