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Quantum Variational Calculus
Quantum Variational Calculus

This Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage of its results is that they are able to deal with nondifferentiable (even discontinuous) functions, which are important in applications.

Possible applications in...

Handbook of Mathematical Models in Computer Vision
Handbook of Mathematical Models in Computer Vision
David Marr's theory was a pioneering step towards understanding visual perception.
In his view human vision was based on a complete surface reconstruction
of the environment that was then used to address visual subtasks. This approach
was proven to be insufficient by neuro-biologists and complementary ideas from
statistical
...
Super-Resolution Imaging (Digital Imaging and Computer Vision)
Super-Resolution Imaging (Digital Imaging and Computer Vision)

This book functions as the definitive overview of the field of super-resolution imaging. Written by the leading researchers in the field of image and video super-resolution, it surveys the latest state-of-the-art techniques in super-resolution imaging. Each detailed chapter provides coverage of the implementations and applications of...

Mathematical Problems in Image Processing
Mathematical Problems in Image Processing
It is surprising when we realize just how much we are surrounded by images. Images allow us not only to perform complex tasks on a daily basis, but also to communicate, transmit information, represent and understand the world around us. Just think, for instance about digital television, medical imagery, video-surveillance, etc....
Applied Calculus of Variations for Engineers
Applied Calculus of Variations for Engineers

The subject of calculus of variations is to find optimal solutions to engineering problems where the optimum may be a certain quantity, a shape, or a function. Applied Calculus of Variations for Engineers addresses this very important mathematical area applicable to many engineering disciplines. Its unique,...

Mathematical Principles of Optical Fiber Communication (CBMS-NSF Regional Conference Series in Applied Mathematics)
Mathematical Principles of Optical Fiber Communication (CBMS-NSF Regional Conference Series in Applied Mathematics)
With the maturing of mobile portable telephony and the emerging broadband access market, greater fiber transmission capacity will be essential in the early 21st century. Since the demand for more capacity drives the development of new optics-based technologies, fiber optics therefore remains a vibrant area for research. Mathematical Principles of...
Path Integrals in Physics Volume 2: Quantum Field Theory, Statistical Physics & Other Modern Applications
Path Integrals in Physics Volume 2: Quantum Field Theory, Statistical Physics & Other Modern Applications
This book covers the fundamentals of path integrals, both the Wiener and Feynman types, and their many applications in physics. It deals with systems that have an infinite number of degrees of freedom. The book discusses the general physical background and concepts of the path integral approach used, followed by the most typical and important...
Energy Minimization Methods in Computer Vision and Pattern Recognition: 8th International Conference, EMMCVPR 2011
Energy Minimization Methods in Computer Vision and Pattern Recognition: 8th International Conference, EMMCVPR 2011

Over the last few decades, energy minimization methods have become an established paradigm to resolve a variety of challenges in the fields of computer vision and pattern recognition. While traditional approaches to computer vision were often based on a heuristic sequence of processing steps and merely allowed a very limited...

The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering)
The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering)

This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational...

Fixed-Point Algorithms for Inverse Problems in Science and Engineering (Springer Optimization and Its Applications)
Fixed-Point Algorithms for Inverse Problems in Science and Engineering (Springer Optimization and Its Applications)

"Fixed-Point Algorithms for Inverse Problems in Science and Engineering" presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied sciences. The material presented provides a survey of the state-of-the-art...

An Introduction to Partial Differential Equations
An Introduction to Partial Differential Equations
"This is an introductory book on the subject of partial differential equations which is suitable for a large variety of basic courses on this topic. In particular, it can be used as a textbook or self-study book for large classes of readers with interests in mathematics, engineering, and related fields. Its usefulness stems from its clarity,...
Computer Vision Analysis of Image Motion by Variational Methods (Springer Topics in Signal Processing)
Computer Vision Analysis of Image Motion by Variational Methods (Springer Topics in Signal Processing)

This book presents a unified view of image motion analysis under the variational framework. Variational methods, rooted in physics and mechanics, but appearing in many other domains, such as statistics, control, and computer vision, address a problem from an optimization standpoint, i.e., they formulate it as the optimization of an objective...

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