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Sách An Introduction to Variational Calculus Applications in Image Processing

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Sách An Introduction to Variational Calculus Applications in Image Processing

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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.
 
 
Categories:Mathematics - Applied Mathematics
 
Content Type:Books
 
Year:2025
 
Edition:1
 
Language:english
 
Pages:154
 

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