An Introduction to Variational Calculus
Produktnummer:
182ae92769ca5344d8a38697a55d52950c
Autor: | Montegranario, Hebert |
---|---|
Themengebiete: | Denoising Functional Derivative Gradient Descent Algorithm Image processing MATLAB Variational methods computer vision inverse problems splines |
Veröffentlichungsdatum: | 24.12.2024 |
EAN: | 9783031772696 |
Sprache: | Englisch |
Seitenzahl: | 149 |
Produktart: | Gebunden |
Verlag: | Springer International Publishing |
Untertitel: | Applications in Image Processing |
Produktinformationen "An Introduction to Variational Calculus"
This textbook introduces variational calculus and regularization methods for inverse problems, seamlessly blending classical concepts with contemporary computational applications, particularly in the field of image processing.The classical perspective draws upon foundational topics explored by pioneers such as Euler and Lagrange, establishing a solid theoretical groundwork. In recent decades, the advent of disciplines such as computer vision has expanded the horizons of variational calculus, showcasing its effectiveness in addressing complex problems that necessitate computational solutions. Consequently, this book places a strong emphasis on the synergy between mathematical theory, practical applications, and algorithmic development.To ensure the text is comprehensive and accessible, essential principles of functional analysis and Fourier analysis are incorporated, facilitating a deeper and more nuanced understanding of the applications presented. Covering both classic and more recent aspects of variational calculus, this book suggests that many topics of modern technology such as computer vision, robotics and especially digital image processing can be formulated in terms of variational problems.

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