segment_image_mser — Segment image using Maximally Stable Extremal Regions (MSER).
segment_image_mser(Image : MSERDark, MSERLight : Polarity, MinArea, MaxArea, Delta, GenParamName, GenParamValue : )
segment_image_mser segments an image into regions of
homogenous gray values using the approach of Maximally Stable Extremal
Regions (MSER). The segmentation process determines if a region is
homogenous by observing the local region surrounding. Therefore, the
operator is particularly suited to robustly segment objects in front
of inhomogeneous background or in applications with changing
illumination.
Parameters
PolarityThe Polarity determines the type of the regions that are extracted.
| Value | Meaning |
|---|---|
| 'dark' | Only MSERs that are darker than their surroundings are extracted |
| 'light' | Only MSERs that are lighter than their surroundings are extracted |
| 'both' (default) | Both types of MSERs are extracted |
MinArea, MaxAreaThe values MinArea and MaxArea restrict the size
of the returned MSERs.
Note that very small values of MinArea, e.g., values
smaller than 5, can increase the runtime significantly, especially
for noisy images.
If MaxArea is set to an empty tuple (default), the MSERs are
restricted to be true subsets of the connected components of the
input domain.
DeltaThe value of Delta influences the selectivity of the
algorithm. Larger values lead to fewer MSERs. Smaller values lead
to more MSERs.
Please read the description of the segmentation process below to help understand the effect of this parameter.
The following generic parameters can be used to fine-tune the
segmentation of MSERs. The generic parameters can be set with
GenParamName and GenParamValue.
The maximum variation of a component's area within the range of
Delta thresholds. Larger values lead
to more MSERs. Smaller values lead to fewer MSERs.
Please read the description of the segmentation process below for a definition of 'variation' and to help understand the effect of this generic parameter.
Suggested values: 0.1, 0.2, 0.5, 1.0, 2.0, 5.0
Default: 0.2
Restriction: real values lager than or equal to 0.0.
The minimum relative difference of the sizes of two overlapping MSERs. Smaller values lead to more overlapping MSERs. Larger values lead to fewer overlapping MSERs.
Please read the description of the segmentation process below for a definition of 'diversity' and to help understand the effect of this generic parameter.
Setting 'min_diversity' very close to 0.0 may increase the runtime.
Suggested values: 0.1, 0.5, 0.8, 1.0, 2.0, 5.0
Default: 0.8
Restriction: real values larger than or equal to 0.0.
Controls if regions that touch the border of the input domain are returned ('true') or rejected ('false').
List of values: 'false', 'true'
Default: 'false' if a full domain is used, 'true' if the input domain is reduced.
The values 'min_gray' and 'max_gray' reduce the input
domain dynamically by applying a threshold to the input image.
All pixels outside the specified gray value range are ignored in the
segmentation process. This may reduce the runtime considerably.
Please note, that if Image has a full domain and the domain is
reduced by the settings of 'min_gray' or 'max_gray',
the default behavior of 'may_touch_border' may lead to more
result regions than without restricted gray value range.
Default: 'min_gray': 0, 'max_gray': 255 for byte images, 65535 for uint2 images
Restriction: integer values larger than or equal to 0.
Segmentation Process
In a first step, the image is segmented with all threshold values t, from 0 to the maximal present gray value.
To illustrate this, the following example input image with twelve gray values (0...11) is used. On the right, the boundaries of the resulting threshold regions are shown.
|
Example input image with twelve gray values reaching from 0 (= black) to 11 (= white)
|
Boundaries of the threshold regions for all thresholds (t = 0...11)
|
The resulting threshold regions are split into their connected
components (4-connected neighborhood) and the area increase of the individual
components is monitored over the increasing thresholds. The area of each
individual component increases monotonically with each (increasing)
threshold. An MSER is a component whose area does not vary significantly
within the range of Delta thresholds. To be
accepted as an MSER, the variation of the component's area within the
range of Delta thresholds must be a
local minimum and it must be lower than 'max_variation'.
Furthermore, the diversity of overlapping MSERs must be greater than
'min_diversity' (see below).
The variation of a component's area is defined by
where
Decreasing the value of 'max_variation' will reduce the number of accepted regions.
In our example, each threshold region consists of only one component.
Therefore, the terms 'threshold region' and 'component' are used
synonymously hereinafter. The following table shows the area of the
threshold regions and their variations for Delta set to 1 and
for Delta set to 2.
| Threshold value t | Threshold region | Area of the threshold region |
Variation of the area (for Delta = 1)
|
Variation of the area (for Delta = 2)
|
|---|---|---|---|---|
|
0 |
|
320 | 0.28 | 0.53 |
| 1 | |
410 | 0.41 | 0.54 |
| 2 | |
490 | 0.27 | 0.49 |
| 3 | |
540 | 0.13 | 0.31 |
| 4 | |
560 | 0.07 | 0.25 |
| 5 | |
580 | 0.12 | 0.29 |
| 6 | |
630 | 0.21 | 0.38 |
| 7 | |
710 | 0.24 | 0.44 |
| 8 | |
800 | 0.23 | 0.41 |
| 9 | |
890 | 0.18 | 1.67 |
| 10 | |
960 | 1.36 | 1.46 |
| 11 | |
2200 | 0.56 | 0.60 |
The area of the threshold regions increases with the threshold value
t. If Delta is set to 1, the local minima of the variation
are obtained for the threshold values t = 0, t = 4, t = 9, and t = 11.
Therefore, the threshold regions for t = 0, t = 4, t = 9, and t = 11
are MSER candidates. If Delta is set to 2, the MSER
candidates correspond to the threshold regions for t = 0, t = 4, t =
8, t = 11.
Per default, the connected components of
the image domain will not be returned as MSER. This behavior can
be altered by explicitly setting MaxArea to a value larger
than the area of the input domain and 'may_touch_border' to
'true'. In our example, the default behavior eliminates the
MSER candidates that correspond to the threshold regions for t = 11.
The following figure shows the resulting MSER candidates for
Delta = 1 and for Delta = 2 (with 'max_variation'
set to 1.0), overlaid over the input image.
| MSER candidates for Delta = 1 | MSER candidates for Delta = 2 |
|---|---|
|
corresponds to t = 0
|
corresponds to t = 0
|
|
corresponds to t = 4
|
corresponds to t = 4
|
|
corresponds to t = 9
|
corresponds to t = 8
|
The MSER segmentation does not divide the image into disjunct regions, but rather determines all MSERs within the input image. Hence for one image, multiple mutual overlapping regions may be returned as MSER candidates. Since the MSERs are calculated by continuously increasing the threshold t, two regions that overlap each other always consist of a larger region that completely contains the smaller one. The 'diversity' measures, how much the areas of two overlapping MSERs differ. It is calculated as the relative difference of the areas of the two MSER candidates: where : is the area of the currently examined MSER candidate and : is the area of the MSER candidate that contains the currently examined MSER candidate.
If the diversity of an MSER candidate is smaller than 'min_diversity', it is discarded. Hence the parameter 'min_diversity' is used to control the amount of overlapping regions. Higher values of 'min_diversity' reduce the number of overlapping regions and lower values increase it. Note that the largest MSER candidates, i.e., those candidates that are not contained in another MSER candidate are always kept.
| MSER candidate index i | Threshold value t | Area of the threshold region | Diversity of the MSER candidate | |
|---|---|---|---|---|
| 0 | 0 | 320 | 0.75 | |
| Delta=1 | 1 | 4 | 560 | 0.59 |
| 2 | 9 | 890 | N/A | |
| 0 | 0 | 320 | 0.75 | |
| Delta=2 | 1 | 4 | 560 | 0.43 |
| 2 | 8 | 800 | N/A |
First, the MSER candidate with the smallest diversity is eliminated if its diversity is less than 'min_diversity'. In our example, the value for 'min_diversity' is set to 0.5. For delta = 2, the MSER candidate with the diversity of 0.43 is eliminated. Then, the diversity is recalculated for the remaining MSER candidates. In our example, this yields a diversity of 1.5 for the MSER candidate 0. Now, all remaining MSER candidates have a diversity greater than 0.5 and are therefore accepted as MSERs.
The segmentation process calculates MSERs for each connected component of the input domain independently.
This operator supports canceling timeouts and interrupts.
Image (input_object) singlechannelimage → object (byte / uint2)
Input image.
MSERDark (output_object) region-array → object
Segmented dark MSERs.
MSERLight (output_object) region-array → object
Segmented light MSERs.
Polarity (input_control) string → (string)
The polarity of the returned MSERs.
Default: 'both'
List of values: 'both', 'dark', 'light'
MinArea (input_control) number(-array) → (integer / real)
Minimal size of an MSER.
Default: 10
Suggested values: 1, 10, 100, 10000
Value range:
1
≤
MinArea
MaxArea (input_control) number(-array) → (integer / real)
Maximal size of an MSER.
Default: []
Suggested values: 1, 10, 100, 10000
Value range:
1
≤
MaxArea
Delta (input_control) number → (integer / real)
Amount of thresholds for which a region needs to be stable.
Default: 15
Suggested values: 5, 10, 20, 50
Value range:
1
≤
Delta
≤
65535
GenParamName (input_control) attribute.name-array → (string)
List of generic parameter names.
Default: []
List of values: 'max_gray', 'max_variation', 'may_touch_border', 'min_diversity', 'min_gray'
GenParamValue (input_control) attribute.value-array → (string / real / integer)
List of generic parameter values.
Default: []
Suggested values: 0.5, 0.8, 'true', 'false', 30, 50, 200, 230
read_image (Image,'pellets')
segment_image_mser (Image, MSERDark, MSERLight, 'light',\
1000, 10000, 3, [],[])
segment_image_mser returns 2 (
H_MSG_TRUE)
if all parameter values are
correct. If necessary, an exception is raised.
auto_threshold,
binary_threshold,
char_threshold,
local_threshold,
watersheds,
regiongrowing
J. Matas, O. Chum, M. Urban, and T. Pajdla: “Robust wide baseline stereo from maximally stable extremal regions.”; Proc. of British Machine Vision Conference, pages 384-396; 2002.
Foundation