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CP0089_07-Mar-2012_RM01

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    Thanikaiselvan V

    Assistant Professor SeniorSENSE

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    V THANIKAISELVAN | ASST PROF SR | SENSE

    Called as averaging filters low pass filters Replacing of every pixel in an image by the

    average of the gray levels in the neighborhood

    defined by the filter mask. This process results in an image with reduced

    sharp transitions in gray levels.

    Random noise will be reduced Box filters , weighted average filters(second mask)

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    V THANIKAISELVAN | ASST PROF SR | SENSE

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    V THANIKAISELVAN | ASST PROF SR | SENSE

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    V THANIKAISELVAN | ASST PROF SR | SENSE

    Order statistics filters are non linear spatial filterswhose response is based on ordering (ranking)

    the pixels contained in the image area

    encompassed by the filter, and replacing the valueof the center pixel with the value determined by

    the ranking result.

    Median filters.

    Impulse noise , salt and pepper noise removed

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    V THANIKAISELVAN | ASST PROF SR | SENSE

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    Laplacian filters Isotropic filters Rotation invariant

    The simplest isotropic derivative operator is the

    laplacian, which for a function f(x,y) of twovariables, is defined as

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    Second order derivative for x direction

    Second order derivative for y direction

    two dimensional laplacian is obtained by summing the

    above two components

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    - =

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    V THANIKAISELVAN | ASST PROF SR | SENSE

    First derivative in image processing isimplemented as

    Magnitude of gradient vector is referred to as

    Gradient

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    V THANIKAISELVAN | ASST PROF SR | SENSE

    The simplest approximation in first orderderivative is (Proposed by Robert-1965)

    We compute the gradient as

    Mask is given in the figure, this is called as

    Robert Cross gradient operator

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    V THANIKAISELVAN | ASST PROF SR | SENSE

    We are interested in 3 x 3 mask

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    | |

    Sober operator (c and D)

    Sum is zero, then constant area pixel will get zero

    as gradient.