trimmed_mean ( Image, Mask : ImageTMean : Number, Margin : )

Smooth an image with an arbitrary rank mask.

The operator trimmed_mean carries out a non-linear smoothing of the gray values of all input images (Image). The filter mask (Mask) is passed in the form of a region. The average of Number gray values located near the median is calculated. Several border treatments can be chosen for filtering (Margin):

    gray value   Pixels outside of the image edges
                 are assumed to be constant (with the
                 indicated gray value).
    'continued'  Continuation of edge pixels.
    'cyclic'     Cyclic continuation of image edges.
    'mirrored'   Reflection of pixels at the image edges.
The indicated mask (= region of the mask image) is put over the image to be filtered in such a way that the center of the mask touches all pixels once. For each of these pixels all neighboring pixels covered by the mask are sorted in an ascending sequence according to their gray values. Thus, each of these sorted gray value sequences contains exactly as many gray values as the mask has pixels. If F is the area of the mask the average of these sequences is calculated as follows: The first (F - Number)/2 gray values are ignored. Then the following Number gray values are summed up and divided by Number. Again the remaining (F - Number)/2 gray values are ignored.


Parameters

Image (input_object)
multichannel-image(-array) -> object : byte / int2 / uint2 / int4 / real
Image to be filtered.

Mask (input_object)
region -> object
Image whose region serves as filter mask.

ImageTMean (output_object)
multichannel-image(-array) -> object : byte / int2 / uint2 / int4 / real
Filtered output image.

Number (input_control)
integer -> integer
Number of averaged pixels. Typical value: Surface(Mask) / 2.
Default value: 5
Suggested values: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31
Typical range of values: 1 <= Number <= 401
Minimum increment: 1
Recommended increment: 2

Margin (input_control)
string -> string / integer / real
Border treatment.
Default value: 'mirrored'
Suggested values: 'mirrored', 'cyclic', 'continued', 0, 30, 60, 90, 120, 150, 180, 210, 240, 255


Example
read_image(Image,'fabrik') 
draw_region(Region,WindowHandle) 
trimmed_mean(Image,Region,TrimmedMean,5,'mirrored')  
disp_image(TrimmedMean,WindowHandle).

Result

If the parameter values are correct the operator trimmed_mean returns the value 2 (H_MSG_TRUE). The behavior in case of empty input (no input images available) is set via the operator set_system('no_object_result',<Result>). If necessary an exception handling is raised.


Parallelization Information

trimmed_mean is reentrant and automatically parallelized (on tuple level, channel level, domain level).


Possible Predecessors

read_image, draw_region, gen_circle, gen_rectangle1


Possible Successors

threshold, dyn_threshold, regiongrowing


Alternatives

sigma_image, median_weighted, median_image


See also

gen_circle, gen_rectangle1, gray_erosion_rect, gray_dilation_rect


References

R. Haralick, L. Shapiro; ``Computer and Robot Vision''; Addison-Wesley, 1992, Seite 320


Module

Foundation



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