In reflection transformation, the size of the object does not change. In other words, we can say that it is a rotation operation with 180°. Reflection is the mirror image of original object. If we provide values greater than 1, then we can increase the size of the object. If we provide values less than 1 to the scaling factor S, then we can reduce the size of the object. The scaling process is shown in the following figure. The above equations can also be represented using the column vectors. The pair (t x, t y) is called the translation vector or shift vector. You can translate a point in 2D by adding translation coordinate (t x, t y) to the original coordinate (X, Y) to get the new coordinate (X’, Y’).įrom the above figure, you can write that − TranslationĪ translation moves an object to a different position on the screen. Any Cartesian point P(X, Y) can be converted to homogenous coordinates by P’ (X h, Y h, h). In this system, we can represent all the transformation equations in matrix multiplication. In this way, we can represent the point by 3 numbers instead of 2 numbers, which is called Homogenous Coordinate system. To convert a 2×2 matrix to 3×3 matrix, we have to add an extra dummy coordinate W. To shorten this process, we have to use 3×3 transformation matrix instead of 2×2 transformation matrix. Scale the rotated coordinates to complete the composite transformation.Rotate the translated coordinates, and then.To perform a sequence of transformation such as translation followed by rotation and scaling, we need to follow a sequential process − Transformations play an important role in computer graphics to reposition the graphics on the screen and change their size or orientation. When a transformation takes place on a 2D plane, it is called 2D transformation. We can have various types of transformations such as translation, scaling up or down, rotation, shearing, etc. Transformation means changing some graphics into something else by applying rules.
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