Computer Graphics through Key Mathematics [Paperback]

Computer Graphics through Key Mathematics introduces the mathematics thatsupport computer graphics on a'need to know' basis. Its approach means you don't have to do advancedmathematical manipulation in order tounderstand the capabilities, scope and limitations of the computergraphics systems that create impressive images.The book is written in a clear, easy-to-understand way and is aimed at allthose who have missed out on an extended mathematical education but whoare studying or working in areas where computer graphics or 3D designplays an vital part.All those who have no formal training but who want to understand thefoundations of computer graphics systems should read this book, as shouldmathematicians who want to understand how their subject is used incomputer image synthesis.1 The Processes of Computer Graphics.- Object Model Building.- Depiction of Models.- Conclusion.- 2 Numbers, Counting and Measuring.- Natural Numbers.- Integers.- Rational Numbers.- Real Numbers.- Complex Numbers.- Representations of Number.- The Computer Representation of Number.- Boolean Algebra.- Summary.- 3 Coordinates and Dimension: Representations of Space and Colour.- Cartesian Coordinates.- Defining Space by Equations and Inequalities.- Angles.- Trigonometry and Polar Coordinates.- Dimension.- Coordinate Systems in Three Dimensions.- Colour and its Representation.- Summary.- 4 Functions and Transformations: Ways of Manipulating Space.- Functions as Mappings.- Graphs of Functions.- Transformations in 2D.- Transformations in 3D.- Combining Affine Transformations.- Inversion of Affine Transformations.- Inversion of Functions.- Shape Transformation by Function Change.- Conclusions.- 5 Form from Function: Analysis of Shapes.- The Straight Line.- Drawing General Function Graphs.- Graphs of Polynomials.- Calculus: Differentiation.- Calculus: Integration.- Series Expansions.- Calculus and Animation.- The Exponential Function.- The Conic Sections.- Some Standard 3D Forms and their Equations.- lS–