Learn IT - Books tags geometry

Curves and Singularities

Cambridge University Press, 1985

The object of this book is to introduce to a new generation of students an area of mathematics that has received a tremendous impetus during the last twenty years or so from developments in singularity theory.

The differential geometry of curves, families of curves and surfaces in Euclidean space has fascinated mathematicians and users...

An Introduction to 3D Computer Vision Techniques and Algorithms

John Wiley & Sons, 2009

Computer vision encompasses the construction of integrated vision systems and the application of vision to problems of real-world importance. The process of creating 3D models is still rather difficult, requiring mechanical measurement of the camera positions or manual alignment of partial 3D views of a scene. However using algorithms, it is...

Isosurfaces: Geometry, Topology, and Algorithms

CRC Press, 2013

Ever since Lorensen and Cline published their paper on the Marching Cubes algorithm, isosurfaces have been a standard technique for the visualization of 3D volumetric data. Yet there is no book exclusively devoted to isosurfaces. Isosurfaces: Geometry, Topology, and Algorithms represents the first book to focus on basic...

Mathematics for Computer Graphics

Springer, 2005

Baffled by maths? Then don't give up hope. John Vince will show you how to understand many of the mathematical ideas used in computer animation, virtual reality, CAD, and other areas of computer graphics. In thirteen chapters you will rediscover - and hopefully discover for the first time a new way of understanding - the mathematical techniques...

Introduction to Biometrics

Springer, 2011

A number of crucial societal applications like international border crossing, electronic commerce, and welfare disbursement require reliable person recognition systems. Traditional person authentication methods based on passwords and identity documents often fail to meet the stringent security and performance demands of these...

Computational Geometry: Algorithms and Applications

Springer, 2008

This well-accepted introduction to computational geometry is a textbook for high-level undergraduate and low-level graduate courses. The focus is on algorithms and hence the book is well suited for students in computer science and engineering. Motivation is provided from the application areas: all solutions and techniques from computational...

The Fractal Geometry of Nature

W. H. Freeman, 1983

Imagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangle--you have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mind-bending geometric...

Modeling of Curves and Surfaces with MATLAB®

Springer, 2010

This text on geometry modeling is devoted to a number of central geometrical topics— graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces— and presents some elementary methods for analytical modeling and visualization of them.

In 1872 F. Klein proposed his Erlangen Programme in...

Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics, Vol. 23)

Oxford University Press, 2011

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects.

Many of the tools used in differential topology are introduced and the...

Higher Categories and Homotopical Algebra (Cambridge Studies in Advanced Mathematics)

Cambridge University Press, 2019

This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century. The text starts from scratch - revisiting results from classical homotopy theory such as...

Topology for Computing (Cambridge Monographs on Applied and Computational Mathematics)

Cambridge University Press, 2005

Written by a computer scientist for computer scientists, this book teaches topology from a computational point of view, and shows how to solve real problems that have topological aspects involving computers. Such problems arise in many areas, such as computer graphics, robotics, structural biology, and chemistry. The author starts from the basics...

The Fabulous Fibonacci Numbers

Prometheus Books, 2007

"...delightful...accessible to anyone who enjoys or enjoyed high school mathematics. Mathematics teachers from middle school through college will find this book fun to read and useful in the classroom. The authors consider more properties, relationships, and applications of the Fibonacci numbers than most other sources do...I enjoyed reading...

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