Transformatios

Transformation is the backbone of computer graphics, it enables us to manipulate the shape, size, and location of the object. It can be used to effect the following changes in a geometric object:
? Change the location
? Change the shape
? Change the size
? Rotate
? Copy
? Generate a surface from a line
? Generate a solid from a surface
? Animate the object
Basic transformations are translation, scaling, rotation, reflection and, shearing. We look at transformations as ways of moving the points that describe one or more geometric objects to new locations. Although there are many transformations that will move a particular point to a new location, there will almost always be only a single way to transform a collection of points to new locations while preserving the spatial relationships among them. Hence, although we can find many matrices that will move one corner of our color cube from P0 to Q0, only one of them, when applied to all the vertices of the cube, will result in a displaced cube of the same size and orientation.