Titlebook: Essential Mathematics for Computer Graphics fast; John Vince Book 20011st edition Springer-Verlag London 2001 3D.CAD.Mathematics.Virtual R

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Towards an Integrated Computer Art SystemTransformations are used to scale, translate, rotate, reflect and shear shapes and objects. And, as we shall discover shortly, it is possible to effect this by changing their coordinate values.

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Algebra,This chapter reviews the basic elements of algebra to prepare the reader for the algebraic manipulations used in later chapters. Although algebra can be a very abstract mathematical tool, here we only need to explore those practical features relevant to its application to computer graphics.

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Transformations,Transformations are used to scale, translate, rotate, reflect and shear shapes and objects. And, as we shall discover shortly, it is possible to effect this by changing their coordinate values.

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Numbers,mber 1234 really means the sum of one thousand, plus two hundreds, plus three tens, plus four ones, which can be expressed as 1 × 1000 + 2 × 100 + 3 × 10 + 4 × 1. It should be obvious that the base 10 is nothing special, it just so happens that human beings have evolved with 10 digits, which we use

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Cartesian Coordinates,1636 Fermat was working on a treatise titled ., which outlined what we now call analytic geometry. Unfortunately, Fermat never published his treatise, although he shared his ideas with other mathematicians such as Blaise Pascal (1623–1662). At the same time Descartes devised his own system of analyt