# ePub Geometric Methods and Applications: For Computer Science and Engineering (Texts in Applied Mathematics) download

# by Jean Gallier

Gallier offers an introduction to affine geometry, projective geometry, Euclidean geometry, basics .

Gallier offers an introduction to affine geometry, projective geometry, Euclidean geometry, basics of differential geometry and Lie groups, and a glimpse of computational geometry (convex sets, Voronoi diagrams and Delaunay triangulations) and explores many of the practical applications of geometry. Some of these applications include computer vision (camera calibration) efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics.

Texts in Applied Mathematics. Texts in Applied Mathematics. Geometric Methods and Applications. For Computer Science and Engineering. Authors: Gallier, Jean. The book contains a valuable collection of modern geometric methods and algorithms readily prepared for solving problems occurring in computer science and engineering. It can be recommended to anybody who is interested in modern geometry and its applications. Anton Gfrerrer, Zentralblatt MATH, Vol. 1247, 2012).

The level of the book, if intended for engineers and computer scientists, is advance graduate. Gallier's book will be a useful source for anyone interested in applications of geometrical methods to solve problems that arise in various branches of engineering. The style of the book is often refreshingly informal but never lacks rigor and precision. Each chapter has a copious section of problems. It may help to develop the sophisticated concepts from the more advanced parts of geometry into useful tools for applications.

The book contains a valuable collection of modern geometric methods and algorithms readily prepared for solving . This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer.

The book contains a valuable collection of modern geometric methods and algorithms readily prepared for solving problems occurring in computer science and engineering. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning. Gallier offers an introduction to affine geometry, projective geometry, Euclidean geometry, basics of differential geometry and Lie groups, and a glimpse of computational geometry (convex sets, Voronoi diagrams and Delaunay triangulations) and explores many of the practical applications of geometry. The level of the book, if intended for engineers and computer scientists, is advance graduat. he style of the book is often refreshingly informal but never lacks rigor and precision. No wonder geometry plays a fundamental role in mathematics, physics, astronomy, and engineering. What is geometry? According to Veblen and Young, geometry deals with the properties of figures in space. Etymologically, geometry means the practical science of measurement. Historically, as explained in more detail by Coxeter, geometry was studied in Egypt about 2000 . Then, it was brought to Greece by Thales (640–456 .

This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer.

Автор: Gallier Jean Название: Geometric Methods and Applications, For Computer .

Computer Graphics and Geometric Modelling: Mathematics, contains the mathematical background needed for the geometric modeling topics in computer graphics covered in the first volume.

Get more information about 'Computer Methods in Applied Mechanics and .

Get more information about 'Computer Methods in Applied Mechanics and Engineering'. Check the Author information pack on Elsevier. The development of computer methods for the solution of scientific and engineering problems governed by the laws of mechanics was one of the great scientific and engineering achievements of the second half of the 20th century, with a profound impact on science and technology

This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning.

This book covers the following topics: affine geometry, projective geometry, Euclidean geometry, convex sets, SVD and principal component analysis, manifolds and Lie groups, quadratic optimization, basics of differential geometry, and a glimpse of computational geometry (Voronoi diagrams and Delaunay triangulations). Some practical applications of the concepts presented in this book include computer vision, more specifically contour grouping, motion interpolation, and robot kinematics.

In this extensively updated second edition, more material on convex sets, Farkas’s lemma, quadratic optimization and the Schur complement have been added. The chapter on SVD has been greatly expanded and now includes a presentation of PCA.

The book is well illustrated and has chapter summaries and a large number of exercises throughout. It will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

Reviews of first edition:

"Gallier's book will be a useful source for anyone interested in applications of geometrical methods to solve problems that arise in various branches of engineering. It may help to develop the sophisticated concepts from the more advanced parts of geometry into useful tools for applications." (Mathematical Reviews, 2001)

"...it will be useful as a reference book for postgraduates wishing to find the connection between their current problem and the underlying geometry." (The Australian Mathematical Society, 2001)

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