This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

Perimeter

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If we have an object in a digital image (see Objects in binary images and Objects in gray scale images), then the perimeter of the object is the length of its boundary = the number of edges in its contour.

Important in geometry, it is frequently not robust enough to be useful in digital image analysis. For more on that see Lengths of curves.

Shapes are often captured via the roundness that encodes the relation of the perimeter and area.

Image with 8 pixels arranged in a square.
The image.
Perimeters are lengths of cycles.










If you are prepared to assume that the object is a circle you can go: area->radius->perimeter and avoid the inaccuracy altogether. Similar for squares.

The perimeter appears in Pixcavator's output table.

To experiment with the concepts, download the free Pixcavator Student Edition.

Ss31.jpg




To see how this can be applied, browse our numerous image analysis examples.