segmentationConfusionMatrix

Confusion matrix of multi-class pixel-level image segmentation

Since R2020b

Syntax

confusionMatrix = segmentationConfusionMatrix(LPred,LTruth)

Description

confusionMatrix = segmentationConfusionMatrix(LPred,LTruth) computes a confusion matrix from the predicted pixel labels LPred and ground truth pixel labels LTruth.

Examples

Calculate Confusion Matrix from Labeled Images

Load a pretrained network that performs binary segmentation of triangles against a background.

load("triangleSegmentationNetwork");

The triangleImages data set has 100 test images with ground truth labels. Define the location of the data set.

dataSetDir = fullfile(toolboxdir("vision"),"visiondata","triangleImages");

Get one test image and the corresponding ground truth label.

testImage = imread(fullfile(dataSetDir,"testImages","image_001.jpg"));
gtLabel   = imread(fullfile(dataSetDir,"testLabels","labeled_image_001.png"));

The label image is stored as a numeric image, so convert the ground truth label to a categorical image.

classNames = ["triangle" "background"];
labelIDs   = [255 0];
gtLabel = categorical(gtLabel,labelIDs,classNames);

Display the ground truth labels over the test image.

imshow(labeloverlay(testImage,gtLabel))

Perform semantic image segmentation.

predLabel = semanticseg(testImage,net,Classes=classNames);

Get the confusion matrix of the predicted labels and ground truth labels. The confusion matrix shows the segmentation correctly classified 21 pixels as triangle and 939 pixels as background. The confusion matrix also shows that the segmentation misclassified 64 background pixels as triangle. No triangle pixels are misclassified as background.

confusionMatrix = segmentationConfusionMatrix(predLabel,gtLabel)

confusionMatrix = 2×2

          21           0
           3        1000

To check the accuracy of the confusion matrix, display the predicted labels over the test image. The overlay agrees with the values in the confusion matrix.

imshow(labeloverlay(testImage,predLabel))

Input Arguments

LPred — Predicted pixel labels

2-D label image | 3-D label image

Predicted pixel labels after semantic segmentation, specified as a 2-D label image or 3-D label image.

Data Types: double | logical | categorical

LTruth — Ground truth pixel labels

2-D label image | 3-D label image

Ground truth pixel labels, specified as a 2-D label image or 3-D label image of the same size as the predicted pixel labels, LPred.

Data Types: double | logical | categorical

Output Arguments

confusionMatrix — Confusion matrix

C-by-C numeric matrix

Confusion matrix for the classes in the segmented images, returned as a C-by-C numeric matrix, where C is the number of classes in the semantic segmentation. Element (i,j) is the count of pixels known to belong to class i but predicted to belong to class j.

Tips

• You can calculate semantic segmentation metrics such as the Jaccard score and classification accuracy from the confusion matrix by using the evaluateSemanticSegmentation function.

• You can use this function in block-based image processing workflows such as blockedImage. For example, you can perform semantic segmentation and calculate the confusion matrix for a block in the same call to the apply function.

Version History

Introduced in R2020b