Mathematical Basics Of Motion And Deformation In Computer Graphics Second Edition

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Mathematical Basics of Motion and Deformation in Computer Graphics, Second Edition

Author : Ken Anjyo
Publisher : Springer Nature
ISBN 13 : 303102592X
Total Pages : 79 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Mathematical Basics of Motion and Deformation in Computer Graphics, Second Edition by : Ken Anjyo

Download or read book Mathematical Basics of Motion and Deformation in Computer Graphics, Second Edition written by Ken Anjyo and published by Springer Nature. This book was released on 2022-06-01 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation.

Mathematical Basics of Motion and Deformation in Computer Graphics

Author : Ken Anjyo
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627059849
Total Pages : 97 pages
Book Rating : 4.6/5 (27 download)

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Book Synopsis Mathematical Basics of Motion and Deformation in Computer Graphics by : Ken Anjyo

Download or read book Mathematical Basics of Motion and Deformation in Computer Graphics written by Ken Anjyo and published by Morgan & Claypool Publishers. This book was released on 2017-04-13 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation.

Mathematical Basics of Motion and Deformation in Computer Graphics, Second Edition

Author : Ken Anjyo
Publisher : Springer
ISBN 13 : 9783031014642
Total Pages : 79 pages
Book Rating : 4.0/5 (146 download)

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Book Synopsis Mathematical Basics of Motion and Deformation in Computer Graphics, Second Edition by : Ken Anjyo

Download or read book Mathematical Basics of Motion and Deformation in Computer Graphics, Second Edition written by Ken Anjyo and published by Springer. This book was released on 2017-04-11 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation.

Cloth Simulation for Computer Graphics

Author : Tuur Stuyck
Publisher : Springer Nature
ISBN 13 : 3031025970
Total Pages : 110 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Cloth Simulation for Computer Graphics by : Tuur Stuyck

Download or read book Cloth Simulation for Computer Graphics written by Tuur Stuyck and published by Springer Nature. This book was released on 2022-06-01 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics-based animation is commonplace in animated feature films and even special effects for live-action movies. Think about a recent movie and there will be some sort of special effects such as explosions or virtual worlds. Cloth simulation is no different and is ubiquitous because most virtual characters (hopefully!) wear some sort of clothing. The focus of this book is physics-based cloth simulation. We start by providing background information and discuss a range of applications. This book provides explanations of multiple cloth simulation techniques. More specifically, we start with the most simple explicitly integrated mass-spring model and gradually work our way up to more complex and commonly used implicitly integrated continuum techniques in state-of-the-art implementations. We give an intuitive explanation of the techniques and give additional information on how to efficiently implement them on a computer. This book discusses explicit and implicit integration schemes for cloth simulation modeled with mass-spring systems. In addition to this simple model, we explain the more advanced continuum-inspired cloth model introduced in the seminal work of Baraff and Witkin [1998]. This method is commonly used in industry. We also explain recent work by Liu et al. [2013] that provides a technique to obtain fast simulations. In addition to these simulation approaches, we discuss how cloth simulations can be art directed for stylized animations based on the work of Wojan et al. [2016]. Controllability is an essential component of a feature animation film production pipeline. We conclude by pointing the reader to more advanced techniques.

Design, Representations, and Processing for Additive Manufacturing

Author : Marco Attene
Publisher : Springer Nature
ISBN 13 : 3031025962
Total Pages : 136 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Design, Representations, and Processing for Additive Manufacturing by : Marco Attene

Download or read book Design, Representations, and Processing for Additive Manufacturing written by Marco Attene and published by Springer Nature. This book was released on 2022-06-01 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The wide diffusion of 3D printing technologies continuously calls for effective solutions for designing and fabricating objects of increasing complexity. The so called "computational fabrication" pipeline comprises all the steps necessary to turn a design idea into a physical object, and this book describes the most recent advancements in the two fundamental phases along this pipeline: design and process planning. We examine recent systems in the computer graphics community that allow us to take a design idea from conception to a digital model, and classify algorithms that are necessary to turn such a digital model into an appropriate sequence of machining instructions.

Virtual Material Acquisition and Representation for Computer Graphics

Author : Dar'ya Guarnera
Publisher : Springer Nature
ISBN 13 : 3031025954
Total Pages : 93 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Virtual Material Acquisition and Representation for Computer Graphics by : Dar'ya Guarnera

Download or read book Virtual Material Acquisition and Representation for Computer Graphics written by Dar'ya Guarnera and published by Springer Nature. This book was released on 2022-05-31 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides beginners in computer graphics and related fields a guide to the concepts, models, and technologies for realistic rendering of material appearance. It provides a complete and thorough overview of reflectance models and acquisition setups, along with providing a selection of the available tools to explore, visualize, and render the reflectance data. Reflectance models are under continuous development, since there is still no straightforward solution for general material representations. Every reflectance model is specific to a class of materials. Hence, each has strengths and weaknesses, which the book highlights in order to help the reader choose the most suitable model for any purpose. The overview of the acquisition setups will provide guidance to a reader who needs to acquire virtual materials and will help them to understand which measurement setup can be useful for a particular purpose, while taking into account the performance and the expected cost derived from the required components. The book also describes several recent open source software solutions, useful for visualizing and manipulating a wide variety of reflectance models and data.

Mathematical Basics of Motion and Deformation in Computer Graphics

Author : Ken Anjyo
Publisher : Morgan & Claypool
ISBN 13 : 9781627054447
Total Pages : 0 pages
Book Rating : 4.0/5 (544 download)

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Book Synopsis Mathematical Basics of Motion and Deformation in Computer Graphics by : Ken Anjyo

Download or read book Mathematical Basics of Motion and Deformation in Computer Graphics written by Ken Anjyo and published by Morgan & Claypool. This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation. Table of Contents: Preface / Symbols and Notations / Introduction / Rigid Transformation / Affine Transformation / Exponential and Logarithm of Matrices / 2D Affine Transformation between Two Triangles / Global 2D Shape Interpolation / Parametrizing 3D Positive Affine Transformations / Further Readings / Bibliography / Authors' Biographies

Mathematical Basics of Motion and Deformation in Computer Graphics

Author : Ken Anjyo
Publisher : Morgan & Claypool
ISBN 13 : 9781627056977
Total Pages : 95 pages
Book Rating : 4.0/5 (569 download)

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Book Synopsis Mathematical Basics of Motion and Deformation in Computer Graphics by : Ken Anjyo

Download or read book Mathematical Basics of Motion and Deformation in Computer Graphics written by Ken Anjyo and published by Morgan & Claypool. This book was released on 2017-04-13 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation.

Stochastic Partial Differential Equations for Computer Vision with Uncertain Data

Author : Tobias Preusser
Publisher : Springer Nature
ISBN 13 : 3031025946
Total Pages : 150 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Stochastic Partial Differential Equations for Computer Vision with Uncertain Data by : Tobias Preusser

Download or read book Stochastic Partial Differential Equations for Computer Vision with Uncertain Data written by Tobias Preusser and published by Springer Nature. This book was released on 2022-06-01 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: In image processing and computer vision applications such as medical or scientific image data analysis, as well as in industrial scenarios, images are used as input measurement data. It is good scientific practice that proper measurements must be equipped with error and uncertainty estimates. For many applications, not only the measured values but also their errors and uncertainties, should be—and more and more frequently are—taken into account for further processing. This error and uncertainty propagation must be done for every processing step such that the final result comes with a reliable precision estimate. The goal of this book is to introduce the reader to the recent advances from the field of uncertainty quantification and error propagation for computer vision, image processing, and image analysis that are based on partial differential equations (PDEs). It presents a concept with which error propagation and sensitivity analysis can be formulated with a set of basic operations. The approach discussed in this book has the potential for application in all areas of quantitative computer vision, image processing, and image analysis. In particular, it might help medical imaging finally become a scientific discipline that is characterized by the classical paradigms of observation, measurement, and error awareness. This book is comprised of eight chapters. After an introduction to the goals of the book (Chapter 1), we present a brief review of PDEs and their numerical treatment (Chapter 2), PDE-based image processing (Chapter 3), and the numerics of stochastic PDEs (Chapter 4). We then proceed to define the concept of stochastic images (Chapter 5), describe how to accomplish image processing and computer vision with stochastic images (Chapter 6), and demonstrate the use of these principles for accomplishing sensitivity analysis (Chapter 7). Chapter 8 concludes the book and highlights new research topics for the future.

An Introduction to Laplacian Spectral Distances and Kernels

Author : Giuseppe Patanè
Publisher : Springer Nature
ISBN 13 : 3031025938
Total Pages : 120 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis An Introduction to Laplacian Spectral Distances and Kernels by : Giuseppe Patanè

Download or read book An Introduction to Laplacian Spectral Distances and Kernels written by Giuseppe Patanè and published by Springer Nature. This book was released on 2022-05-31 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: In geometry processing and shape analysis, several applications have been addressed through the properties of the Laplacian spectral kernels and distances, such as commute time, biharmonic, diffusion, and wave distances. Within this context, this book is intended to provide a common background on the definition and computation of the Laplacian spectral kernels and distances for geometry processing and shape analysis. To this end, we define a unified representation of the isotropic and anisotropic discrete Laplacian operator on surfaces and volumes; then, we introduce the associated differential equations, i.e., the harmonic equation, the Laplacian eigenproblem, and the heat equation. Filtering the Laplacian spectrum, we introduce the Laplacian spectral distances, which generalize the commute-time, biharmonic, diffusion, and wave distances, and their discretization in terms of the Laplacian spectrum. As main applications, we discuss the design of smooth functions and the Laplacian smoothing of noisy scalar functions. All the reviewed numerical schemes are discussed and compared in terms of robustness, approximation accuracy, and computational cost, thus supporting the reader in the selection of the most appropriate with respect to shape representation, computational resources, and target application.

GPU Ray Tracing in Non-Euclidean Spaces

Author : Tiago Novello
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1636393276
Total Pages : 129 pages
Book Rating : 4.6/5 (363 download)

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Book Synopsis GPU Ray Tracing in Non-Euclidean Spaces by : Tiago Novello

Download or read book GPU Ray Tracing in Non-Euclidean Spaces written by Tiago Novello and published by Morgan & Claypool Publishers. This book was released on 2022-03-21 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the visualization of three-dimensional non-Euclidean spaces using raytracing techniques in Graphics Processing Unit (GPU). This is a trending topic in mathematical visualization that combines the mathematics areas of geometry and topology, with visualization concepts of computer graphics. Several conditions made this a special moment for such topic. On one hand, the development of mathematical research, computer graphics, and algorithms have provided the necessary theoretical framework. On the other hand, the evolution of the technologies and media allows us to be immersed in three-dimensional spaces using Virtual Reality. The content of this book serves both experts in the areas and students. Although this is a short book, it is self-contained since it considers all the ideas, motivations, references, and intuitive explanations of the required fundamental concepts.

Sound Synthesis, Propagation, and Rendering

Author : Liu Shiguang
Publisher : Springer Nature
ISBN 13 : 3031792149
Total Pages : 96 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Sound Synthesis, Propagation, and Rendering by : Liu Shiguang

Download or read book Sound Synthesis, Propagation, and Rendering written by Liu Shiguang and published by Springer Nature. This book was released on 2022-05-31 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a broad overview of research on sound simulation driven by a variety of applications. Vibrating objects produce sound, which then propagates through a medium such as air or water before finally being heard by a listener. As a crucial sensory channel, sound plays a vital role in many applications. There is a well-established research community in acoustics that has studied the problems related to sound simulation for six decades. Some of the earliest work was motivated by the design of concert halls, theaters, or lecture rooms with good acoustic characteristics. These problems also have been investigated in other applications, including noise control and sound design for urban planning, building construction, and automotive applications. Moreover, plausible or realistic sound effects can improve the sense of presence in a virtual environment or a game. In these applications, sound can provide important clues such as source directionality and spatial size. The book first surveys various sound synthesis methods, including harmonic synthesis, texture synthesis, spectral analysis, and physics-based synthesis. Next, it provides an overview of sound propagation techniques, including wave-based methods, geometric-based methods, and hybrid methods. The book also summarizes various techniques for sound rendering. Finally, it surveys some recent trends, including the use of machine learning methods to accelerate sound simulation and the use of sound simulation techniques for other applications such as speech recognition, source localization, and computer-aided design.

Practical Algorithms for 3D Computer Graphics, Second Edition

Author : R. Stuart Ferguson
Publisher : CRC Press
ISBN 13 : 1466582529
Total Pages : 521 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Practical Algorithms for 3D Computer Graphics, Second Edition by : R. Stuart Ferguson

Download or read book Practical Algorithms for 3D Computer Graphics, Second Edition written by R. Stuart Ferguson and published by CRC Press. This book was released on 2013-12-19 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical Algorithms for 3D Computer Graphics, Second Edition covers the fundamental algorithms that are the core of all 3D computer graphics software packages. Using Core OpenGL and OpenGL ES, the book enables you to create a complete suite of programs for 3D computer animation, modeling, and image synthesis. Since the publication of the first edition, implementation aspects have changed significantly, including advances in graphics technology that are enhancing immersive experiences with virtual reality. Reflecting these considerable developments, this second edition presents up-to-date algorithms for each stage in the creative process. It takes you from the construction of polygonal models of real and imaginary objects to rigid body animation and hierarchical character animation to the rendering pipeline for the synthesis of realistic images. New to the Second Edition New chapter on the modern approach to real-time 3D programming using OpenGL New chapter that introduces 3D graphics for mobile devices New chapter on OpenFX, a comprehensive open source 3D tools suite for modeling and animation Discussions of new topics, such as particle modeling, marching cubes, and techniques for rendering hair and fur More web-only content, including source code for the algorithms, video transformations, comprehensive examples, and documentation for OpenFX The book is suitable for newcomers to graphics research and 3D computer games as well as more experienced software developers who wish to write plug-in modules for any 3D application program or shader code for a commercial games engine.

Mathematical Progress in Expressive Image Synthesis I

Author : Ken Anjyo
Publisher : Springer
ISBN 13 : 4431550070
Total Pages : 185 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Mathematical Progress in Expressive Image Synthesis I by : Ken Anjyo

Download or read book Mathematical Progress in Expressive Image Synthesis I written by Ken Anjyo and published by Springer. This book was released on 2014-05-29 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents revised versions of the best papers selected from the symposium “Mathematical Progress in Expressive Image Synthesis” (MEIS2013) held in Fukuoka, Japan, in 2013. The topics cover various areas of computer graphics (CG), such as surface deformation/editing, character animation, visual simulation of fluids, texture and sound synthesis and photorealistic rendering. From a mathematical point of view, the book also presents papers addressing discrete differential geometry, Lie theory, computational fluid dynamics, function interpolation and learning theory. This book showcases the latest joint efforts between mathematicians, CG researchers and practitioners exploring important issues in graphics and visual perception. The book provides a valuable resource for all computer graphics researchers seeking open problem areas, especially those now entering the field who have not yet selected a research direction.

Understanding Motion Capture for Computer Animation

Author : Alberto Menache
Publisher : Elsevier
ISBN 13 : 0123814979
Total Pages : 267 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Understanding Motion Capture for Computer Animation by : Alberto Menache

Download or read book Understanding Motion Capture for Computer Animation written by Alberto Menache and published by Elsevier. This book was released on 2011-01-24 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding Motion Capture for Computer Animation discusses the latest technology developments in digital design, film, games, medicine, sports, and security engineering. Motion capture records a live-motion event and translates it into a digital context. It is the technology that converts a live performance into a digital performance. In contrast, performance animation is the actual performance that brings life to the character, even without using technology. If motion capture is the collection of data that represents motion, performance animation is the character that a performer represents. The book offers extensive information about motion capture. It includes state-of-the-art technology, methodology, and developments in the current motion-capture industry. In particular, the different ways to capture motions are discussed, including using cameras or electromagnetic fields in tracking a group of sensors. This book will be useful for students taking a course about digital filming, as well as for anyone who is interested in this topic. - Completely revised to include almost 40% new content with emphasis on RF and Facial Motion Capture Systems - Describes all the mathematical principles associated with motion capture and 3D character mechanics - Helps you budget by explaining the costs associated with individualized motion capture projects

Simulating Humans

Author : Norman I. Badler
Publisher : Oxford University Press, USA
ISBN 13 : 0195073592
Total Pages : 287 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis Simulating Humans by : Norman I. Badler

Download or read book Simulating Humans written by Norman I. Badler and published by Oxford University Press, USA. This book was released on 1993-09-02 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of simulated human figures is an active research area in computer graphics, and Norman Badler's group at the University of Pennsylvania is one of the leaders in the field. This book summarizes the state of the art in simulating human figures, discusses many of the interesting application areas, and makes some assumptions and predictions about where the field is going.

Fundamentals of Computer Graphics

Author : Steve Marschner
Publisher : CRC Press
ISBN 13 : 1315362546
Total Pages : 749 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Fundamentals of Computer Graphics by : Steve Marschner

Download or read book Fundamentals of Computer Graphics written by Steve Marschner and published by CRC Press. This book was released on 2018-10-24 with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on an impressive roster of experts in the field, Fundamentals of Computer Graphics, Fourth Edition offers an ideal resource for computer course curricula as well as a user-friendly personal or professional reference. Focusing on geometric intuition, the book gives the necessary information for understanding how images get onto the screen by using the complementary approaches of ray tracing and rasterization. It covers topics common to an introductory course, such as sampling theory, texture mapping, spatial data structure, and splines. It also includes a number of contributed chapters from authors known for their expertise and clear way of explaining concepts. Highlights of the Fourth Edition Include: Updated coverage of existing topics Major updates and improvements to several chapters, including texture mapping, graphics hardware, signal processing, and data structures A text now printed entirely in four-color to enhance illustrative figures of concepts The fourth edition of Fundamentals of Computer Graphics continues to provide an outstanding and comprehensive introduction to basic computer graphic technology and theory. It retains an informal and intuitive style while improving precision, consistency, and completeness of material, allowing aspiring and experienced graphics programmers to better understand and apply foundational principles to the development of efficient code in creating film, game, or web designs. Key Features Provides a thorough treatment of basic and advanced topics in current graphics algorithms Explains core principles intuitively, with numerous examples and pseudo-code Gives updated coverage of the graphics pipeline, signal processing, texture mapping, graphics hardware, reflection models, and curves and surfaces Uses color images to give more illustrative power to concepts