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Gaussian Smoothing. Gaussian Smoothing is the result of blurring an image by a Gaussian function. It is also known as Gaussian blur. Course Name: Digital Image Processing Level(UG/PG): UG Author(s) : Phani Swathi Chitta Mentor: Prof. Saravanan Vijayakumaran. - PowerPoint PPT Presentation

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  • Gaussian Smoothing Gaussian Smoothing is the result of blurring an image by a Gaussian function. It is also known as Gaussian blur.

    Course Name: Digital Image Processing Level(UG/PG): UG Author(s) : Phani Swathi ChittaMentor: Prof. Saravanan Vijayakumaran*The contents in this ppt are licensed under Creative Commons Attribution-NonCommercial-ShareAlike 2.5 India license

  • Learning ObjectivesAfter interacting with this Learning Object, the learner will be able to:Explain how the smoothing of an image is done using a Gaussian filter

  • Definitions of the components/Keywords:53241 Smoothing filters are used for blurring and for noise reduction.Blurring is used in preprocessing steps, such as removal of small details from an image prior to object extraction, and bridging of small gaps in lines or curvesNoise reduction can be accomplished by blurring

    In edge detection, Gaussian smoothing is done prior to Laplacian to remove the effect of noise.

    Gaussian smoothing is a special case of weighted smoothing, where the coefficients of the smoothing kernel are derived from a Gaussian distribution.

    The 2D Gaussian smoothing filter is given by the equation

    where is the variance of the mask

    The amount of smoothing can be controlled by varying the values of the two standard deviations.

  • Definitions of the components/Keywords:53241

    For a 3x3 mask, the values of x and y are taken from the below grid.

    -1,-1 0,-1 1,-1 -1,0 0,0 1,0 -1,1 0,1 1,1

  • Master Layout53241 Give a slider ranging from 0.5 to 10 so that user can select any one value of sigma.Image after smoothingOriginal Image

  • Step 1: 153243x3 mask, Sigma 0.5

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 0.5, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 3x3

  • Step 2: 153243x3 mask, Sigma 0.8

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 0.8, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 3x3

  • Step 3: 153243x3 Mask, Sigma 1

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 1, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 3x3

  • Step 4: 153243x3 Mask , Sigma 3

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 3, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 3x3

  • Step 5: 153243x3 Mask, Sigma 5

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 5, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 3x3

  • Step 6: 153243x3 Mask, Sigma 8

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 8, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 3x3

  • Step 7: 153243x3 Mask, Sigma 10

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 10, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 3x3

  • Step 8: 153245x5 Mask, Sigma 0.5

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 0.5, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 5x5

  • Step 9: 153245x5 Mask, Sigma 0.8

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 0.8, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 5x5

  • Step 10: 153245x5 Mask, Sigma 1

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 1, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 5x5

  • Step 11: 153245x5 Mask, Sigma 3

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 3, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 5x5

  • Step 12: 153245x5 Mask, Sigma 5

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 5, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 5x5

  • Step 13: 153245x5 Mask, Sigma 8

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 8, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 5x5

  • Step 14: 153245x5 Mask, Sigma 10

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 10, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 5x5

  • Step 15: 153247x7 Mask, Sigma 0.5

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 0.5, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 7x7

  • Step 16: 153247x7 Mask, Sigma 0.8

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 0.8, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 7x7

  • Step 17: 153247x7 Mask, Sigma 1

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 1, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 7x7

  • Step 18: 153247x7 Mask, Sigma 3

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 3, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 7x7

  • Step 19: 153247x7 Mask, Sigma 5

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 5, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 7x7

  • Step 20: 153247x7 Mask, Sigma 8

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 8, the second fig. should be shownThe text in DT should appear in parallel to the figuresThe original imageThe resulting image after Gaussian smoothing is doneThe filter mask used for smoothing is of size 7x7

  • Step 21: 153247x7 Mask, Sigma 10

    Instruction for the animatorText to be displayed in the working area (DT)The first fig. should appear and then when the slider points at 10, the second fig.

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