Does FME provide a solution for computing the similarity between 2 geometries?

Maybe the UpdateDetector or the ChangeDetector?

Thank you very much @redgeographics ! I will look at your solution as soon as I can.

Thank you @redgeographics ! I have tested it, runs great and produces expected results. Please note however that it considers only shapepoints for measuring distances.

So if we consider a rectangular polygon and a triangular polygon, the Hausdorff distance as calculated by the transformer will not be the one joining the right tip of the triangle with the mid-point of the greater length of the rectangle (if the triangle plays the role of the base). Maybe a densification option such as the one proposed in ST_FrechetDistance should be integrated. I also don't know conceptually what the expected Hausdorff distance should be between a donut polygon and the polygon occupying the donut hole (whether only the outer ring should be considered).

Now, I am wondering if implementing a similar transformer for the Frechet distance is also within reach with minimal efforts. It turns out the logic I was initially vaguely envisioning boilds down to the discrete Frechet distance. I then noticed that it was already suggested a while ago to Safe Software: https://knowledge.safe.com/idea/55848/calculate-frechet-distance-similarities-between-tw.html

Do you think creating such a transformer is possible? Thank you!