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Geometric Computing: for Wavelet Transforms, Robot Vision, Learning, Control and Action
Geometric Computing: for Wavelet Transforms, Robot Vision, Learning, Control and Action

Geometric algebra (GA) is a powerful new mathematical system for computational geometry. Although its origins can be traced back to Hermann Grassmann (1844), its development as a language for space–time geometry with applications to all of physics did not begin until 1966. Suddenly, in the year 2000 it was recognized that a specialized...

Principles of Geometry (Cambridge Library Collection - Mathematics)
Principles of Geometry (Cambridge Library Collection - Mathematics)

Henry Frederick Baker (1866-1956) was a renowned British mathematician specialising in algebraic geometry. First published between 1922 and 1925, this six-volume work provides a detailed insight into the geometry which was developing at the time of publication. Volume 1 describes the foundations of projective geometry.

...
Linear Algebra: A Geometric Approach
Linear Algebra: A Geometric Approach
One of the most enticing aspects of mathematics, we have found, is the interplay of ideas from seemingly disparate disciplines of the subject. Linear algebra provides a beautiful illustration of this, in that it is by nature both algebraic and geometric. ...
Map Construction Algorithms
Map Construction Algorithms

The book provides an overview of the state-of-the-art of map construction algorithms, which use tracking data in the form of trajectories to generate vector maps. The most common trajectory type is GPS-based trajectories. It introduces three emerging algorithmic categories, outlines their general algorithmic ideas, and discusses three...

Curves and Singularities
Curves and Singularities
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
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An Introduction to 3D Computer Vision Techniques and Algorithms
An Introduction to 3D Computer Vision Techniques and Algorithms

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
Isosurfaces: Geometry, Topology, and Algorithms

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
Mathematics for Computer Graphics
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
Introduction to Biometrics
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
Computational Geometry: Algorithms and Applications
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
The Fractal Geometry of Nature
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®
Modeling of Curves and Surfaces with MATLAB®

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...

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