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A rigid transformation is when a shape is moved with no changes to its shape whereas a size transformation is when a shape is moved with its shape becoming smaller or larger.
rigid transformation is for same modality(CT-CT) nad it can only perform translation, rotation and scaling translation. whereas non rigid for multimodality and it can do streching and shriking too. it use demon algorithm .
The object and its image are congruent.
explain formula transformation
An asymmetric enlargement. A convolution, Fourier transformation, for example.