Translation, scale and rotation invariant object recognition

Over the last years the problem of pattern recognition under various geometrical transformations is very important. In the case of affection scale and rotation transforms, well-known correlation-extreme algorithms are not efficient. The invariant object recognition methods of translation, scale and rotation are suggested. Root-mean-square method is more computationally expensive, but it provides good recognition when alien objects have different shape with object size error up to 25%.