Two Dimensional Transformation

Transformation:

A graphics system should allow the programmer to define picturesthat include a variety of transformation. For example, he should be able tomagnify a picture so that detail appears more clearly, or reduce it so thatmore of the picture is visible. How should also be able to applytransformation to symbols. It is also useful to be able to change the scale of a symbol and to rotate it through some angle.Two aspects of the formulation of transformation should beemphasized ± (1)

A transformation is single mathematical entity and as such canbe denoted by single name or symbol.(2)

Two transformations can be combined or concatenated to yield asingle transformation with the same effect as the sequentialapplication of the original two. Thus, transformation A might betranslation and transformation B a scaling. The concatenationproperty allows us to determine a transformation C=AB whoseeffect is to translate and then scale.
G
eometric Transformation:

In all computer graphics system, the fundamental ability is tosimulate the manipulation of objects in space, which is referred to astransformation.In geometric transformation, the object is transformed relative to astationary coordinate system or background i.e. each and every point of itis displaced equally.There are basically four types of geometric transformation:

1. Translation
2. Scaling
3. Rotation
4. Reflection


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