Curve and surface reconstruction : Algorithms with mathematical analysis

Description:

Many applications in science and engineering require a digital model of a real physical object. Advanced scanning technology has made it possible to scan such objects and generate point samples on their boundaries. This book shows how to compute a digital model from this point sample. After developing the basics of sampling theory and its connections to various geometric and topological properties, the author describes a suite of algorithms that have been designed for the reconstruction problem, including algorithms for surface reconstruction from dense samples, from samples that are not adequately dense and from noisy samples. Voronoi and Delaunay based techniques, implicit surface based methods and Morse theory based methods are covered. Scientists and engineers working in drug design, medical imaging, CAD, GIS, and many other areas will benefit from this first book on the subject.

Title : Curve and surface reconstruction - Algorithms with mathematical analysis

author(s) :  Tamal K. Dey

Publisher: Cambridge University Press

Year: 2006

size : 7 Mb

file type : PDF

Here

please if the url of download is not work , informed me by comment and thank you

Read more »

analysis, Mathematics,

Shape analysis and structuring

Description:

Several techniques have been developed in the literature for processing different aspects of the geometry of shapes, for representing and manipulating a shape at different levels of detail, and for describing a shape at a structural level as a concise, part-based, or iconic model. Such techniques are used in many different contexts, such as industrial design, biomedical applications, entertainment, environmental monitoring, or cultural heritage. This book covers a variety of topics related to preserving and enhancing shape information at a geometric level, and to effectively capturing the structure of a shape by identifying relevant shape components and their mutual relationships.

Title : Shape analysis and structuring

author(s) :  Leila de Floriani, Michela Spagnuolo

Publisher: Springer

Year: 2008

size : 8 Mb

file type : PDF

Here

please if the url of download is not work , informed me by comment and thank you

Read more »

analysis, Mathematics,

Mathematics of Genome Analysis

Description:

The massive research effort known as the Human Genome Project is an attempt to record the sequence of the three trillion nucleotides that make up the human genome and to identify individual genes within this sequence. The description and classification of sequences is heavily dependent on mathematical and statistical models. This short textbook presents a brief description of several ways in which mathematics and statistics are being used in genome analysis and sequencing.

Title : Mathematics of Genome Analysis

author(s) :  Percus J.K.

Publisher: Cambridge University Press

Year: 2004

size : 1 Mb

file type : djvu

Here

please if the url of download is not work , informed me by comment and thank you

Read more »

analysis, Mathematics,

Real analysis: measure theory, integration, and Hilbert spaces

PREFACE :

Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science.
After setting forth the basic facts of measure theory, Lebesgue integration, and differentiation on Euclidian spaces, the authors move to the elements of Hilbert space, via the L2 theory. They next present basic illustrations of these concepts from Fourier analysis, partial differential equations, and complex analysis. The final part of the book introduces the reader to the fascinating subject of fractional-dimensional sets, including Hausdorff measure, self-replicating sets, space-filling curves, and Besicovitch sets. Each chapter has a series of exercises, from the relatively easy to the more complex, that are tied directly to the text. A substantial number of hints encourage the reader to take on even the more challenging exercises.

Title : Real analysis - measure theory, integration, and Hilbert spaces   

author(s) :   Elias M. Stein, Rami Shakarchi

size : 1.88 Mb

file type : PDF

Here

please if the url of download is not work , informed me by comment and thank you

Read more »

analysis, Mathematics,

Fourier analysis: an introduction

PREFACE :

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions.
The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression.
In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest.
The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

Title : Fourier analysis - an introduction   

author(s) :   Elias M. Stein, Rami Shakarchi

size : 1.37 Mb

file type : PDF

Here

please if the url of download is not work , informed me by comment and thank you

Read more »

analysis, Mathematics,