Image Transformation Performed Using Spatial Transformations

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Image Transformation Performed Using Spatial
Transformations

• ECE 552
• Project Proposal
• April 3, 2007
• Team RED
• Sam Caylor
• Roopa Channappa
• Vicente Mahoney
• Christina Ward

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Spatial Transformations

• Spatial Transformations enables the coordinates
  of pixels in one image to be mapped to form a new
  image
• They can perform the following operations on
  images rotation, scaling, and translation

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Proposal

• Implement Spatial Transformation techniques on
  an image.
• Linear Conformal Transformation
• Affine Transformation
• Projective Transformation
• Polynomial Transformation
• Simulate the techniques using MATLAB on the
  image first.
• Implement the techniques in VHDL
• Compare and contrast the results.

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Assigned Tasks

• Obtain Matlab Spatial Transformation Results
  Roopa
• Linear Conformal Transformation Roopa
• Affine Transformation - Christina
• Projective Transformation - Vicente
• Polynomial Transformation ?

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Spatial Transformation Results Using Matlab

• Original Image

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Linear Conformal Transformation

• Matlab Code that was created to produce the
  following image.
• I imread(eiffeltower.jpg')
• imshow(I)
• title('original')
• scale 1.2 scale factor
• angle 40pi/180 rotation angle
• tx 1 x translation
• ty 1 y translation
• sc scalecos(angle)
• ss scalesin(angle)
• T sc -ss
• ss sc
• tx ty
• t_lc maketform('affine',T)
• I_linear_conformal imtransform(I,t_lc,'FillValue
  s',.3)
• figure, imshow(I_linear_conformal)

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Affine Transformation

• I imread(eiffeltower.jpg')
• imshow(I)
• title('original')
• scale 1.2 scale factor
• angle 40pi/180 rotation angle
• tx 0 x translation
• ty 0 y translation
• T 1 0.5
• 0.5 1
• 0 0
• t_aff maketform('affine',T)
• I_affine imtransform(I,t_aff,'FillValues',.3)
• figure, imshow(I_affine)
• title('affine')

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Projective Transformation

• I imread('eiffeltower.jpg')
• imshow(I)
• title('original')
• T 1 0 0
• 0.5 1 0
• 0 0 0.5
• t_proj maketform('projective',T)
• I_projective imtransform(I,t_proj,'FillValues',.
  3)
• figure, imshow(I_projective)
• title('projective')

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Polynomial Transformation

• I imread('C\Documents and Settings\Roopa
  Channappa\Desktop\lena.pgm')
• imshow(I)
• title('original')
• T 0 0
• 1 0
• 0 1
• 0.015625 0
• 0.015625 0
• 0.015625 0
• t_poly.tdata T
• I_polynomial imtransform(I,t_poly,'FillValues',.
  3)
• figure, imshow(I_polynomial)
• title('polynomial')

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Specifications
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Our Approach

• Spatial Transformations require no operation on
  the image but rather changing the location of the
  image to a new address.
• To satisfy this condition we changed the size of
  memory bank from 4kx32 to 16kx8 and then
  performed our address operation in the
  Logic_function.vhd

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Block Diagram using FPGA Adv
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Pre-Synthesis Results

• Modified Memory Bank

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Pre-Synthesis Cont.

• Logic Function

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New Approach
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Pre-Synthesis Coverage Report

• ADD COVERAGE REPORT HERE

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Xilinx Layout
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Conclusions