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The Mathematical Structure of Raster Graphics presents a mathematical characterization of the structure of raster graphics, a popular and diverse form of computer graphics. The semantics and theory of the mathematical structure of raster graphics are discussed. Notations that help to clarify some of the concepts generally considered to be fundamental to computer graphics are included. Comprised of seven chapters, this book begins with a description of a general framework for specifying and manipulating scenes. Basic graphic entities, called primitive graphic objects, are defined using a simple notation over a Euclidean space. The reader is then introduced to a semantics of visibility; a mathematical semantics of rendering, developed using the very basic notion of measure; and a mathematical formalization of bit-mapped graphics. A framework for specifying illumination models is also described, along with the complexity of abstract ray tracing. This monograph will be a useful resource for undergraduate and graduate students, researchers, and practitioners in the fields of mathematics and computer graphics, and to those with some basic computer graphics background.
Since its very existence as a separate field within computer science, computer graphics had to make extensive use of non-trivial mathematics, for example, projective geometry, solid modelling, and approximation theory. This interplay of mathematics and computer science is exciting, but also makes it difficult for students and researchers to assimilate or maintain a view of the necessary mathematics. The possibilities offered by an interdisciplinary approach are still not fully utilized. This book gives a selection of contributions to a workshop held near Genoa, Italy, in October 1991, where a group of mathematicians and computer scientists gathered to explore ways of extending the cooperation between mathematics and computer graphics.
Mathematical optimization is used in nearly all computer graphics applications, from computer vision to animation. This book teaches readers the core set of techniques that every computer graphics professional should understand in order to envision and expand the boundaries of what is possible in their work. Study of this authoritative reference will help readers develop a very powerful tool- the ability to create and decipher mathematical models that can better realize solutions to even the toughest problems confronting computer graphics community today. - Distills down a vast and complex world of information on optimization into one short, self-contained volume especially for computer graphics - Helps CG professionals identify the best technique for solving particular problems quickly, by categorizing the most effective algorithms by application - Keeps readers current by supplementing the focus on key, classic methods with special end-of-chapter sections on cutting-edge developments
The focus of this book is on providing a thorough treatment of image processing with an emphasis on those aspects most used in computer graphics. Throughout, the authors concentrate on describing and analysing the underlying concepts rather than on presenting algorithms or pseudocode. As befits a modern introduction to this topic, a healthy balance is struck between discussing the underlying mathematics of the subject and the main topics covered: signal processing, data discretization, the theory of colour and different colour systems, operations in images, dithering and half-toning, warping and morphing, and image processing.
Computer Graphics: Theory and Practice provides a complete and integrated introduction to this area. The book only requires basic knowledge of calculus and linear algebra, making it an accessible introductory text for students. It focuses on conceptual aspects of computer graphics, covering fundamental mathematical theories and models and the inher
A book for those interested in how modern graphics programs work and how they can generate realistic-looking objects. It emphasises the mathematics behind computer graphics, most of which is included in an appendix. The main topics covered are: scan conversion methods; selecting the best pixels for generating lines, circles and other objects; geometric transformations and projections; translations, rotations, moving in 3D, perspective projections, curves and surfaces; construction, wire-frames, rendering, normals; CRTs, antialiasing, animation, colour, perception, polygons, compression. With its numerous illustrative examples and exercises, the book is ideal for a two-semester course for advanced undergraduates or graduates, while also making a fine reference for professionals in the field.
Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modeling, this two-volume work covers implementation and theory in a thorough and systematic fashion. It covers the computer graphics part of the field of geometric modeling and includes all the standard computer graphics topics. The CD-ROM features two companion programs.
In Digital Design Media, Second Edition, architects and related design professionals will find a complete conceptual guide to the multidimensional world of computer-aided design. In contrast to the many books that describe how to use particular programs (and which therefore go out of date very quickly), Digital Design Media constructs a lasting theoretical framework, which will make it easier to understand a great number of programs—existing and future—as a whole. Clear structure, numerous historical references, and hundreds of illustrations make this framework both accessible to the nontechnical professional and broadening for the experienced computer-aided designer. The book will be especially valuable to anyone who is ready to expand their work in CAD beyond production drafting systems. The new second edition adds chapters one merging technologies, such as the Internet, but the book’s original content is as valid as ever. Thousands of design students and practitioners have made this book a standard.
What is Raster Graphics In computer graphics and digital photography, a raster graphic represents a two-dimensional picture as a rectangular matrix or grid of pixels, viewable via a computer display, paper, or other display medium. A raster is technically characterized by the width and height of the image in pixels and by the number of bits per pixel. Raster images are stored in image files with varying dissemination, production, generation, and acquisition formats. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Raster graphics Chapter 2: Pixel Chapter 3: RGB color model Chapter 4: Vector graphics Chapter 5: Dot matrix Chapter 6: Rasterisation Chapter 7: Framebuffer Chapter 8: Truevision TGA Chapter 9: Dots per inch Chapter 10: Color depth (II) Answering the public top questions about raster graphics. (III) Real world examples for the usage of raster graphics in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Raster Graphics.
What is Raster Graphics Editor Among the many raster graphics file formats, such as JPEG, PNG, and GIF, a raster graphics editor is a computer program that enables users to create and edit images in an interactive manner on the computer screen. Users can also save their edited images in one of these formats. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Raster graphics editor Chapter 2: Raster graphics Chapter 3: Vector graphics Chapter 4: 2D computer graphics Chapter 5: Vector graphics editor Chapter 6: Transparency (graphic) Chapter 7: Image file format Chapter 8: Image editing Chapter 9: Paintbrush (software) Chapter 10: Bounding volume (II) Answering the public top questions about raster graphics editor. (III) Real world examples for the usage of raster graphics editor in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Raster Graphics Editor.