Types of operations The types of operations that

Types of operations The types of operations that can be applied to digital images to transform an input image a[m, n] into an output image b[m, n] (or another representation) can be classified into the following three categories Point : the output value at a specific coordinate is dependent only on the input value at that same coordinate. Local : the output value at a specific coordinate is dependent on the input values in the neighborhood of that same coordinate. Global : the output value at a specific coordinate is dependent on all the values in the input image.

Types of operations

2 D Transformations Translate, Scale, Rotate, Sheer, and Homogeneous Coordinates

Translation Alter the position of a point or an object in 2 D space. (x+dx, y+dy) (x, y)

Translate

Rotation Rotate a pixel P(x, y) around the origin by an angle α. The results pixel position is P’(x’, y’) (x, y) α (x’, y’)

Rotation

Scale a region of pixels by a factor (Sx, Sy). Each pixel in this region P(x, y) is “scaled” to a new position is P’(x’, y’) (x, y) The scale of include additional translation when no point of the scaled region is in the origin

Scale

Sheer Scale a region of pixels by a factor (SHx, SHy). Each pixel in this region P(x, y) is “Sheered” to a new position is P’(x’, y’) (x, y)

Sheer