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Calculus for Computer Graphics
Calculus for Computer Graphics

Students studying computer animation and computer games have to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces, and as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems.

The author draws upon his...

gnuplot Cookbook
gnuplot Cookbook
gnuplot is a free, open source plotting program that has been in wide use since 1986. It's used as the graphics backend by many other programs, so plenty of people use gnuplot without knowing it. If you've used Octave, Maxima, statist, gretl, or the Emacs graphing calculator, you've already used gnuplot.

...
Constant Mean Curvature Surfaces with Boundary (Springer Monographs in Mathematics)
Constant Mean Curvature Surfaces with Boundary (Springer Monographs in Mathematics)

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC surfaces are important mathematical models for the physics of interfaces in the absence of gravity, where they separate two different media or for capillary phenomena. Further, as most techniques used in the...

Guide to Computational Geometry Processing: Foundations, Algorithms, and Methods
Guide to Computational Geometry Processing: Foundations, Algorithms, and Methods

This book reviews the algorithms for processing geometric data, with a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics. Features: presents an overview of the underlying mathematical theory, covering vector spaces, metric space, affine spaces, differential geometry, and finite...

Spacetime, Geometry and Gravitation (Progress in Mathematical Physics)
Spacetime, Geometry and Gravitation (Progress in Mathematical Physics)

Teaching Einstein’s general relativity at introductory level poses problems because students cannot begin to appreciate the basics of the theory unless they learn a sufficient amount of Riemannian geometry. Most elementary books take the easy course of telling the students a few working rules stripping the mathematical details to a minimum...

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
...
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...

Partial Differential Equations: Modelling and Numerical Simulation (Computational Methods in Applied Sciences)
Partial Differential Equations: Modelling and Numerical Simulation (Computational Methods in Applied Sciences)
This book is dedicated to Olivier Pironneau.

For more than 250 years partial differential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at first and then those originating from human activity and technological development. Mechanics, physics and their...

Information Optics and Photonics: Algorithms, Systems, and Applications
Information Optics and Photonics: Algorithms, Systems, and Applications

This book will address the advances, applications, research results, and emerging areas of optics, photonics, computational approaches, nano-photonics, bio-photonics, with applications in information systems. The objectives are to bring together novel approaches, analysis, models, and technologies that enhance sensing, measurement,...

Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling
Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling

"Ron Goldman is a leading expert who knows the fundamental concepts and their interconnectedness, as well as the small details. The elegance of the writing and of the methods used to present the material allows us to get a deep understanding of the central concepts of CAGD. In its simplicity and pure beauty, the theory indeed resembles the...

Topological Data Structures for Surfaces: An Introduction to Geographical Information Science
Topological Data Structures for Surfaces: An Introduction to Geographical Information Science

In Geography and GIS, surfaces can be analysed and visualised through various data structures, and topological data structures describe surfaces in the form of a relationship between certain surface-specific features. Drawn from many disciplines with a strong applied aspect, this is a research-led, interdisciplinary approach to the creation,...

Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms
Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms

Implicit objects have gained increasing importance in geometric modeling, visualisation, animation, and computer graphics, because their geometric properties provide a good alternative to traditional parametric objects. This book presents the mathematics, computational methods and data structures, as well as the algorithms needed to render...

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