We require three dimensional geometric and co-ordinate transformation to change the view of a three dimensional object.Three dimensional transformations are extended from two dimensional transformations by considering the 'z' co-ordinate also in the plane.Just like two dimensional transformation in three dimensional transformations are formed by composing three basic transformations of translation, scaling and rotation. Here we are going to discuss about the scaling. What is scaling? A scaling transform can be used to make objects bigger or smaller. Mathematically, a scaling transform simply multiplies each x-coordinate by a given amount and each y-coordinate by a given amount. That is, if a point ( x , y ) is scaled by a factor of a in the x direction and by a factor of d in the y direction, then the resulting point ( x1 , y1 ) is given by ...
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We require three dimensional geometric and co-ordinate transformation to change the view of a three dimensional object.Three dimensional transformations are extended from two dimensional transformations by considering the 'z' co-ordinate also in the plane.Just like two dimensional transformation in three dimensional transformations are formed by composing three basic transformations of translation, scaling and rotation. Here we are going to discuss about the translation. What is translation? A translation transform simply moves every point by a certain amount horizontally and a certain amount vertically. If ( x , y ) is the original point and ( x1 , y1 ) is the transformed point, then the formula for a translation is- x1=x+e ...