Spatial Transformation Of Images

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Spatial Transformation Of Images

• Presented by
• Team Blue Pradeep,Karthik,Ikram,Tushti

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What is Spatial transformation?

• A Spatial transformation defines the
  rearrangement of pixels on the image plane.
• Here we are modifying the pixel coordinates
  instead of the pixel values

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How we intend to do this transformation?

• Concept used FILTERING
• We will move a filter mask from point to point in
  the image. At each point (x,y) ,the response of
  the filter at that point will be calculated using
  a predefined relationship.

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Types of Spatial transformations we will
implement

• Affine Transformation
• In an affine transformation, the x and y
  dimensions can be scaled or sheared independently
  and there may be a translation. Parallel lines
  remain parallel. Straight lines remain straight.
• Equation u v x y 1 T
• where T is the filter.

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Types of Spatial transformations cont..

• Polynomial transformation
• In a polynomial transformation, polynomial
  functions of x and y determine the mapping.For a
  second-order polynomial transformationu v
  1 x y xy x2 y2 T

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Example
Affine Transformation
Polynomial Transformation
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Approach

• We will split the incoming bit stream (
  representing the image) into an array of pixels.
• Each location of the array will have 8 bits
  corresponding to each pixel value.
• Then we will apply the desired transformation on
  the input array.
• Finally we will create the array for the output
  image.

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• Thank You!!!!