The object and its image are congruent.
A rigid transformation that does not result in a reversed orientation of the original image is a translation or a rotation. Both transformations preserve the orientation of the figure, meaning that the shape and arrangement of points remain unchanged. In contrast, a reflection is the rigid transformation that reverses the orientation.
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 .
A rigid motion transformation is a type of transformation that preserves the shape and size of geometric figures. This means that distances between points and angles remain unchanged during the transformation. Common examples include translations, rotations, and reflections. Essentially, a rigid motion maintains the congruence of the original figure with its image after the transformation.
A non-rigid transformation is one that alters the shape or size of a figure, such as dilation or stretching. Unlike rigid motions, which preserve distances and angles (like translations, rotations, and reflections), non-rigid transformations can change the proportions and overall dimensions of an object. For example, scaling a shape to make it larger or smaller is a non-rigid transformation.
A rigid transformation that does not result in a reversed orientation of the original image is a translation or a rotation. Both transformations preserve the orientation of the figure, meaning that the shape and arrangement of points remain unchanged. In contrast, a reflection is the rigid transformation that reverses the orientation.
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.
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.
isometry
dilation (APEX)
Stretch
A rigid motion transformation is a type of transformation that preserves the shape and size of geometric figures. This means that distances between points and angles remain unchanged during the transformation. Common examples include translations, rotations, and reflections. Essentially, a rigid motion maintains the congruence of the original figure with its image after the transformation.
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.