Calculate the deviation of the gray values from the approximating image plane.
The operator plane_deviation calculates the deviation of the gray values in Image from the approximation of the gray values through a plane. Contrary to the standard deviation in case of intensity slanted gray value planes also receive the value zero. The gray value plane is calculated according to gen_image_gray_ramp.
If F is the plane, alpha, beta, mean are the parameters of the image plane and (r',c') is the center, Deviation is defined by: Deviation = sqrt(sum(((alpha*(r-r')+beta*(c-c')+mean)-Image(r,c))^2)/F) .
It should be noted that the calculation of Deviation does not follow the usual definition. It is defined to return the value 0.0 for an image with only one pixel.
|
Regions (input_object) |
region(-array) -> object |
| Regions, of which the plane deviation is to be calculated. | |
|
Image (input_object) |
image -> object : byte / cyclic |
| Gray value image. | |
|
Deviation (output_control) |
real(-array) -> real |
| Deviation of the gray values within a region. | |
If F is the area of the region the runtime complexity amounts to O(F).
The operator plane_deviation returns the value 2 (H_MSG_TRUE) if Image is of the type byte. The behavior in case of empty input (no input images available) is set via the operator set_system(::'no_object_result',<Result>:), the behavior in case of empty region is set via set_system(::'empty_region_result',<Result>:). If necessary an exception handling is raised.
plane_deviation is reentrant and automatically parallelized (on tuple level).
intensity, gen_image_gray_ramp, sub_image
Foundation
