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The Guile-CV procedures and methods related to image features.

`im-features`

- Procedure:
**im-features***image l-image [#:n-label #f]* -
Returns a list of features, one list for each labeled object - including the backgroud - in ascending order.

Notes: (a)

`image`can either be an RGB or a GRAY image; (b)`l-image`is the ‘`corresponding`’ labeled image; (c) when used, the`#:n-label`optional keyword argument must be total number of label values used in`l-image`, as returned by im-label and im-label-all.The GRAY feature list values are:

`area`

The labeled object area in pixel

`left top right bottom`

The coordinates of the ‘

`bounding box`’ labeled object^{12}`mean-x mean-y`

Also sometimes called the ‘

`centroid`’, these are the average of the x and y coordinates of all of the pixels in the labeled object. These two coordinate values are floating points, representing the ‘`mathematical position`’ of the mean x and y values of the labeled object`min max mean std-dev`

The minimum, maximum, mean and standard gray deviaton labeled object values

`major-ev-x major-ev-y minor-ev-x minor-ev-y`

Respectively the major and minor eigen vectors

`x`

and`y`

normalized coordinates^{13}:`(= (sqrt (+ (expt x 2) (expt y 2))) 1)`

`major-axis minor-axis`

Respectively the major and minor eigen values, optimized so that they actually correspond to major and minor

`radius`

of the ellipse covering the same`area`

as the particle itself`angle`

The angle of the major eigen vector axis, in

`degrees`

in the trigonometirc circle reference system`center-mass-x center-mass-y`

The center of mass

`x`

and`y`

coordinates`perimeter`

The labeled object perimeter in pixels

`skewness kurtosis`

Respectively the skewness and the kurtosis of the labeled object

`circularity aspect-ratio roundness`

Respectively the circularity

`(/ (* 4 %pi area) (expt perimeter 2))`

, the aspect ratio`(/ major-axis minor-axis)`

and the roundness`(/ minor-axis major-axis)`

of the labeled object

The RGB feature list values are:

`area`

The labeled object area in pixel

`left top right bottom`

The coordinates of the labeled object (the corresponding GRAY feature footnote applies here too of course)

`mean-x mean-y`

Also sometimes called the ‘

`centroid`’, these are the average of the x and y coordinates of all of the (red green blue) pixels in the labeled object. These two coordinate values are floating points, representing the ‘`mathematical position`’ of the mean x and y values of tha labeled object`min-r min-g min-b max-r max-g max-b mean-r mean-g mean-b std-dev-r std-dev-g std-dev-b`

The minimum, maximum, mean and standard deviaton labeled object values of the red, green and blue channels

`major-axis minor-axis`

Respectively the major and minor eigen values, optimized so that they actually correspond to major and minor

`radius`

of the ellipse covering the same`area`

as the particle itself`angle`

The angle of the major eigen vector axis, in

`degrees`

in the trigonometirc circle reference system`center-mass-x center-mass-y`

The center of mass

`x`

and`y`

coordinates`perimeter`

The labeled object perimeter in pixels

`skewness-r skewness-g skewness-b kurtosis-r kurtosis-g kurtosis-b`

Respectively the skewness and the kurtosis labeled object values of the red, green and blue channels

`circularity aspect-ratio roundness`

Respectively the circularity

`(/ (* 4 %pi area) (expt perimeter 2))`

, the aspect ratio`(/ major-axis minor-axis)`

and the roundness`(/ minor-axis major-axis)`

of the labeled object

Though we did not make it public, Guile-CV has an internal feature display procedure that you might be interested to (re)use, so here is an example of a GRAY feature list display:

scheme@(guile-user)> ,use (cv) scheme@(guile-user)> (im-load "pp-17-bf.png") $2 = (85 95 3 (#f32(0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 …) …)) scheme@(guile-user)> (im-rgb->gray $2) $3 = (85 95 1 (#f32(0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 # …))) $4 = (0.0 251.0 128.3132714138286 8075) scheme@(guile-user)> (im-threshold $3 136) $5 = (85 95 1 (#f32(0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 # …))) scheme@(guile-user)> (im-label $5) $6 = (85 95 1 (#f32(0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 # …))) $7 = 2 scheme@(guile-user)> (im-features $2 $6) $8 = ((3782 0 0 84 94 43.19196319580078 45.657588958740234 0.0 # …) …) scheme@(guile-user)> ((@@ (cv features) f-display) (match $8 ((bg a) a))) area : 4293 (pixels) left top right bottom : 0 0 84 94 mean-x mean-y : 40.94992 48.18262 min (red, green, blue) : 137.00000 136.00000 135.00000 max (red, green, blue) : 255.00000 250.00000 250.00000 mean (red, green, blue) : 236.13417 232.84999 232.84207 std. dev. (red, green, blue) : 20.23275 19.41402 19.84854 major ev x, y : 0.22202 0.97504 minor ev x, y : 0.97504 -0.22202 major, minor axis : 39.86419 34.27900 (radius) angle : 77.17241 (degrees) center of mass x, y : 40.73749 48.28692 perimeter : 367.74725 skewness (red, green, blue) : -2.90164 -2.99066 -2.91777 kurtosis (red, green, blue) : 8.53371 9.05482 8.61162 circularity : 0.39891 aspect ratio : 1.16293 roundness : 0.85989

As we mentioned above,

`f-diplay`

is defined in the`(cv features)`

module, but it is not exported: in Guile, calling none exported procedure (which should not be ‘`abused`’) is done using the syntax`@@ module-name binding-name`

, which in this example translates to`(@@ (cv features) f-display)`

.

Note
that when passed to im-crop, `right`

and `bottom`

must
be increased by 1: ```
(im-crop image left top (+ right 1) (+ bottom
1))
```

.

Note that Vigra
calculates and returns these values in the image coordinate system,
where the `y-axis`

is ‘`flipped`’ compared to the trigonometric
circle ‘`traditional`’ representation. Guile-CV however transforms
and returns these values using the trigonometric circle reference
system.

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