Ray Tracing from the Ground Up
Computer graphics involves simulating the distribution of light in a 3D
environment. There are only a few fundamentally different algorithms that
have survived the test of time. They can be loosely classified into projective
algorithms and image-space algorithms. The former class projects each geo
metric primitive onto the... Realistic Image Synthesis Using Photon Mapping The creation of realistic three-dimensional images is central to computer graphics. Photon mapping, an extension of ray tracing, makes it possible to efficiently simulate global illumination in complex scenes. Photon mapping can simulate caustics (focused light, such as shimmering waves at the bottom of a swimming pool), diffuse inter-reflections... Computer Algebra and Symbolic Computation: Mathematical Methods Computer algebra is the field of mathematics and computer science that is concerned with the development, implementation, and application of algorithms that manipulate and analyze mathematical expressions. This book and the companion text, Computer Algebra and Symbolic Computation: Mathematical Methods, are an introduction to the subject that...
Geometric Data Structures for Computer Graphics
Data structures and tools from computational geometry help to solve problems in computer graphics; these methods have been widely adopted by the computer graphics community yielding elegant and efficient algorithms.
This book focuses on algorithms and data structures that have proven to be versatile, efficient, fundamental, and easy...
Color Imaging: Fundamentals and Applications
Color is one of the most fascinating areas to study. Color forms an integral part
of nature, and we humans are exposed to it every day. We all have an intuitive
understanding of what color is, but by studying the underlying physics, chemistry,
optics, and human visual perception, the true beauty and complexity of color can
Computer Facial Animation
This book is about computer facial models, computer-generated facial images, and facial animation. In particular, it addresses the principles of creating face models and the manipulation or control of computer-generated facial attributes. In addition, various sections in the book describe and explain the development of specific computer...
Prince of Mathematics: Carl Friedrich Gauss The author narrates the life of Carl Friedrich Gauss, the 18th century mathematician, from his prodigious childhood to his extraordinary achievements that earned him the title "Prince of Mathematics". Along the way, the author introduces her readers to a different culture, the era of small states in Germany where advancement on merits,... The Cryptoclub: Using Mathematics to Make and Break Secret Codes Join the Cryptokids as they apply basic mathematics to make and break secret codes. This book has many hands-on activities that have been tested in both classrooms and informal settings. Classic coding methods are discussed, such as Caesar, substitution, VigenÃ¨re, and multiplicative ciphers as well as the modern RSA. Math topics covered... Modern Mathematics in the Light of the Fields Medal Examines the evolution of certain areas of modern mathematics by recounting the past winners of the international Fields Medal, the - Nobel Prize - of mathematics. Paper. DLC: Mathematics - History 20th century.
This little book is extraordinary in at least three ways. First, it contains in only 150 pages a synopsis of the whole...
Erdos on Graphs : His Legacy of Unsolved Problems A tribute to Paul Erdos, the wandering mathematician once described as the prince of problem solvers & the absolute monarch of problem posers, examines within the context of his personality & lifestyle the legacy of open problems he left to the world of mathematics after his death in 1996. DLC: Graph theory.
There is no...
Spatial Augmented Reality: Merging Real and Virtual Worlds
Like virtual reality, augmented reality is becoming an emerging platform in new application areas for museums, edutainment, home entertainment, research, industry, and the art communities using novel approaches which have taken augmented reality beyond traditional eye-worn or hand-held displays.
In this book, the authors discuss spatial...
Haptic Rendering: Foundations, Algorithms and Applications
For a long time, human beings have dreamed of a virtual world where it is possible to interact with synthetic entities as if they were real. It has been shown that the ability to touch virtual objects increases the sense of presence in virtual environments. This book provides an authoritative overview of state-of-theart haptic rendering...
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