By Carlo Cercignani
By Sandra Pinelas,Michel Chipot,Zuzana Došlá
By Daniel W. Stroock
By L.A. Peletier,W.C. Troy
By Jan Modersitzki
Image registration is utilised every time details bought from diversified viewpoints should be mixed or in comparison and undesirable distortion has to be eradicated. for instance, CCTV photos, ultrasound photographs, mind test pictures, fingerprint and retinal scanning.
Modersitzki's ebook offers a scientific creation to the theoretical, useful, and numerical features of picture registration, with targeted emphasis on clinical functions. a number of ideas are defined, mentioned and in comparison utilizing a variety of illustrations.
The textual content starts off with an creation to the mathematical ideas and the motivating instance of the Human Neuroscanning venture whose objective is to construct an atlas of the human mind via reconstructing crucial details out of deformed photographs of sections of a ready brain.
The advent is via insurance of parametric snapshot registrations comparable to landmark established, significant axes dependent, and optimum affine linear registration. easy distance measures like sum of squared changes, correlation, and mutual details also are discussed.
The subsequent part is dedicated to state of the art non-parametric snapshot registrations the place normal variational established framework for photograph registration is gifted and used to explain and examine recognized and new picture registration concepts. eventually, effective numerical schemes for the underlying partial differential equations are awarded and discussed.
This textual content treats the elemental mathematical ideas, together with elements from approximation conception, picture processing, numerics, partial differential equations, and facts, with a robust specialise in numerical tools in photograph processing. delivering a scientific and basic framework for photograph registration, the ebook not just provides cutting-edge ideas but in addition summarises and classifies the various suggestions to be present in the literature.
By Tullio Ceccherini-Silberstein,Fabio Scarabotti,Filippo Tolli
By Ravi P. Agarwal,Donal O'Regan
Ordinary differential equations function mathematical types for lots of fascinating actual global difficulties. fast development within the concept and purposes of differential equations has ended in a persisted curiosity of their examine by way of scholars in lots of disciplines. This textbook organizes fabric round theorems and proofs, comprising of forty two class-tested lectures that successfully exhibit the topic in simply conceivable sections. The presentation is pushed by means of designated examples that illustrate how the topic works. a variety of workout units, with an "answers and tricks" part, are incorporated. The publication extra presents a heritage and heritage of the subject.
By Kai Borre
This concise, fast paced textual content introduces the options and purposes at the back of aircraft networks. It provides basic fabric from linear algebra and differential equations, and provides numerous various functions of the continual idea. functional difficulties, supported by way of MATLAB records, underscore the idea; extra fabric may be downloaded from the author's web site.
By Shangjiang Guo,Jianhong Wu
theory of sensible Differential Equations (FDEs). FDEs come up very certainly in economics, lifestyles sciences and engineering and the research of FDEs has been a tremendous resource of suggestion for development in nonlinear research and endless dimensional dynamical structures. The booklet summarizes a few functional and common ways and frameworks for the research of bifurcation phenomena of FDEs reckoning on parameters with chap. This good illustrated ebook goals to be self contained
so the readers will locate during this booklet all proper fabrics in
bifurcation, dynamical platforms with symmetry, practical differential
equations, general kinds and middle manifold aid. This fabric used to be utilized in graduate classes on useful differential equations at Hunan college (China) and York college (Canada).
By Mark McKibben,Micah D. Webster
A specific textbook for an undergraduate direction on mathematical modeling, Differential Equations with MATLAB: Exploration, functions, and Theory presents scholars with an knowing of the sensible and theoretical facets of mathematical types regarding traditional and partial differential equations (ODEs and PDEs). The textual content provides a unifying photograph inherent to the examine and research of greater than 20 specific types spanning disciplines equivalent to physics, engineering, and finance.
The first a part of the booklet provides platforms of linear ODEs. The textual content develops mathematical versions from ten disparate fields, together with pharmacokinetics, chemistry, classical mechanics, neural networks, body structure, and electric circuits. targeting linear PDEs, the second one half covers PDEs that come up within the mathematical modeling of phenomena in ten different components, together with warmth conduction, wave propagation, fluid move via fissured rocks, development formation, and fiscal mathematics.
The authors have interaction scholars by means of posing questions of all kinds all through, together with verifying info, proving conjectures of exact effects, studying large strokes that happen in the improvement of the idea, and utilizing the idea to express versions. The authors’ obtainable variety encourages scholars to actively paintings throughout the fabric and resolution those questions. moreover, the large use of MATLAB® GUIs permits scholars to find styles and make conjectures.