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 .
In 2 dimensional space it is a translation vector which is a 2x1 column vector.
The object and its image are congruent.
A dilation is not a basic rigid motion because it alters the size of a figure while maintaining its shape, rather than preserving distances between points. Rigid motions, such as translations, rotations, and reflections, only change the position or orientation of a figure without affecting its dimensions. In contrast, dilations involve scaling, which can either enlarge or reduce a figure, thus not satisfying the criteria of preserving lengths and angles.
dilation (APEX)
Stretch
A rigid motion transformation is one that preserves distances and angles between points in a geometric shape. Anything that involves changing the size or shape of the object, such as scaling or shearing, would not describe a rigid motion transformation.
Rigid motion
Spinning a spinner.
A rigid transformation means it has the same size and shape so it would be a dilation
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 .
Flexing is one such transformation.
In 2 dimensional space it is a translation vector which is a 2x1 column vector.
A rigid transformation is a geometrical term for the pre-image and the image both having the exact same size and shape.
A transformation is said to be rigid if it preserves relative distances.