trimmed_mean
— Smooth an image with an arbitrary rank mask.
trimmed_mean(Image, Mask : ImageTMean : Number, Margin : )
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.
For an explanation of the concept of smoothing filters see the introduction of chapter Filters / Smoothing.
Note that filter operators may return unexpected results if an image with a reduced domain is used as input. Please refer to the chapter Filters.
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
read_image(Image,'fabrik') draw_region(Region,WindowHandle) trimmed_mean(Image,Region,TrimmedMean,5,'mirrored') dev_display(TrimmedMean)
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 is raised.
read_image
,
draw_region
,
gen_circle
,
gen_rectangle1
threshold
,
dyn_threshold
,
regiongrowing
sigma_image
,
median_weighted
,
median_image
gen_circle
,
gen_rectangle1
,
gray_erosion_rect
,
gray_dilation_rect
R. Haralick, L. Shapiro; “Computer and Robot Vision”; Addison-Wesley, 1992, Seite 320
Foundation