Mathematical Insights into Advanced Computer Graphics Techniques

Mathematical Insights into Advanced Computer Graphics Techniques
Author: Yoshinori Dobashi
Publisher: Springer
Total Pages: 163
Release: 2018-11-27
Genre: Technology & Engineering
ISBN: 9811328501

This book presents cutting-edge developments in the advanced mathematical theories utilized in computer graphics research – fluid simulation, realistic image synthesis, and texture, visualization and digital fabrication. A spin-off book from the International Symposium on Mathematical Progress in Expressive Image Synthesis in 2016 and 2017 (MEIS2016/2017) held in Fukuoka, Japan, it includes lecture notes and an expert introduction to the latest research presented at the symposium. The book offers an overview of the emerging interdisciplinary themes between computer graphics and driven mathematic theories, such as discrete differential geometry. Further, it highlights open problems in those themes, making it a valuable resource not only for researchers, but also for graduate students interested in computer graphics and mathematics.

Mathematics for Computer Graphics

Mathematics for Computer Graphics
Author: John Vince
Publisher: Springer Science & Business Media
Total Pages: 268
Release: 2005-11-09
Genre: Computers
ISBN: 9781846280344

This is a concise and informal introductory book on the mathematical concepts that underpin computer graphics. The author, John Vince, makes the concepts easy to understand, enabling non-experts to come to terms with computer animation work. The book complements the author's other works and is written in the same accessible and easy-to-read style. It is also a useful reference book for programmers working in the field of computer graphics, virtual reality, computer animation, as well as students on digital media courses, and even mathematics courses.

Mathematical Elements for Computer Graphics

Mathematical Elements for Computer Graphics
Author: David F. Rogers
Publisher: McGraw-Hill Science, Engineering & Mathematics
Total Pages: 648
Release: 1990
Genre: Computers
ISBN:

This text is ideal for junior-, senior-, and graduate-level courses in computer graphics and computer-aided design taught in departments of mechanical and aeronautical engineering and computer science. It presents in a unified manner an introduction to the mathematical theory underlying computer graphic applications. It covers topics of keen interest to students in engineering and computer science: transformations, projections, 2-D and 3-D curve definition schemes, and surface definitions. It also includes techniques, such as B-splines, which are incorporated as part of the software in advanced engineering workstations. A basic knowledge of vector and matrix algebra and calculus is required.

3D Computer Graphics

3D Computer Graphics
Author: Samuel R. Buss
Publisher: Cambridge University Press
Total Pages: 397
Release: 2003-05-19
Genre: Computers
ISBN: 1139440381

This textbook, first published in 2003, emphasises the fundamentals and the mathematics underlying computer graphics. The minimal prerequisites, a basic knowledge of calculus and vectors plus some programming experience in C or C++, make the book suitable for self study or for use as an advanced undergraduate or introductory graduate text. The author gives a thorough treatment of transformations and viewing, lighting and shading models, interpolation and averaging, Bézier curves and B-splines, ray tracing and radiosity, and intersection testing with rays. Additional topics, covered in less depth, include texture mapping and colour theory. The book covers some aspects of animation, including quaternions, orientation, and inverse kinematics, and includes source code for a Ray Tracing software package. The book is intended for use along with any OpenGL programming book, but the crucial features of OpenGL are briefly covered to help readers get up to speed. Accompanying software is available freely from the book's web site.

Insight Through Computer Graphics - Proceedings Of The Computer Graphics International 1994 (Cg194)

Insight Through Computer Graphics - Proceedings Of The Computer Graphics International 1994 (Cg194)
Author: Michael Gigante
Publisher: World Scientific
Total Pages: 354
Release: 1997-01-03
Genre:
ISBN: 9814547328

Computer graphics has been advancing to the level of creating completely new worlds inside computers. Through such computer graphics worlds, we human beings now have far improved insight into wide varieties of real worlds starting from fairly simple but exact worlds of curves and surfaces and reaching to complex human worlds. This volume presents a quite concrete and advanced methods, techniques, modeling and mathematical backgrounds which are indispensable in order to carry out end researches to increase insight through computer graphics.

Mathematical Software

Mathematical Software
Author: Arjeh M. Cohen
Publisher: World Scientific
Total Pages: 536
Release: 2002
Genre: Mathematics
ISBN: 9789812380487

Annotation The advent of mathematical software has been one of the most important events in mathematics. Mathematical software systems are used to construct examples, to prove theorems, and to find new mathematical phenomena. On the other hand, mathematical research often motivates developments of new algorithms and new systems. Mathematical software systems rely on the cooperation of mathematicians, designers of algorithms, and mathematical programmers. This book is aimed at software developers in mathematics and programming mathematicians, but it also provides opportunities to discuss the topics with mathematicians.

Essential Mathematics for Computer Graphics fast

Essential Mathematics for Computer Graphics fast
Author: John Vince
Publisher: Springer Science & Business Media
Total Pages: 244
Release: 2001
Genre: Computers
ISBN: 9781852333805

This book provides a quick, concise introduction to the most important mathematics used in computer graphics. Vince makes the concepts easy to understand, so that non-mathematicians can grasp the math that lies behind computer animation.

Advanced Educational Technologies for Mathematics and Science

Advanced Educational Technologies for Mathematics and Science
Author: David L. Ferguson
Publisher: Springer Science & Business Media
Total Pages: 752
Release: 2013-04-17
Genre: Education
ISBN: 3662029383

This book is the outgrowth of a NATO Advanced Research Workshop, held in Milton Keynes (United Kingdom) in the summer of 1990. The workshop brought together about 30 world leaders in the use of advanced technologies in the teaching of mathematics and science. Many of these participants commented that the workshop was one of the more productive and exciting workshops that they had attended. It was not uncommon to see participants engaged in informal discussion far into the evenings and early mornings, long after formal sessions had ended. It is my hope that this book captures the substance and excitement of many of the ideas that were presented at the workshop. Indeed, the process by which this book has come about has given every opportunity for the best thinking to get reflected here. Participants wrote papers prior to the workshop. After the workshop, participants revised the papers at least once. In a few instances, three versions of papers were written. Some participants could not resist the urge to incorporate descriptions of some of the newer developments in their projects. The papers in this book demonstrate how technology is impacting our view of what should be taught, what can be taught, and how we should go about teaching in the various disciplines. As such, they offer great insight into the central issues of teaching and learning in a wide range of disciplines and across many grade levels (ranging from elementary school through undergraduate college education).

Learning from Computers: Mathematics Education and Technology

Learning from Computers: Mathematics Education and Technology
Author: Christine Keitel-Kreidt
Publisher: Springer Science & Business Media
Total Pages: 351
Release: 2012-12-06
Genre: Education
ISBN: 3642785425

The NATO Advanced Research Workshop on Mathematics Education and Technology was held in Villard-de-Lans, France, between May 6 and 11, 1993. Organised on the initiative of the BaCoMET (Basic Components of Mathematics Education for Teachers) group (Christiansen, Howson and Otte 1986; Bishop, Mellin-Olsen and van Dormolen 1991), the workshop formed part of a larger NATO programme on Advanced Educational Technology. Some workshop members had already participated in earlier events in this series and were able to contribute insights from them: similarly some members were to take part in later events. The problematic for the workshop drew attention to important speculative developments in the applications of advanced information technology in mathematics education over the last decade, notably intelligent tutoring, geometric construction, symbolic algebra and statistical analysis. Over the same period, more elementary forms of information technology had started to have a significant influence on teaching approaches and curriculum content: notably arithmetic and graphic calculators; standard computer tools, such as spreadsheets and databases; and computer-assisted learning packages and computer microworlds specially designed for educational purposes.