The transformation matrix that represents a solid body transformation is
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Rigid Transformation.
Step-by-step explanation:
As the rigid transformation preserves the distance between every pair of points. It includes rotations, translations, reflections, or any sequence of these.
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The transformation matrix that represents a solid body transformation is Rigid Transformation.
- Transformation is the straightforward modification of a frame attached to one body's angular position and orientation with respect to a frame appended to some other body.
- When returning the final image, rigid transformation, also referred to as isometry, does not change the size or physical dimensions, or pre-image.
- Three major transformations—reflection, rotation, and translation—are categorized as rigid transformations.
- Reflection: This transformation emphasizes how the object's position has changed, but its size and shape are unaltered.
- Translation: This transformation is an excellent illustration of a rigid transformation. The pre-image is tumbled into the image, but the image's size and shape don't change.
- Rotation: In rotation, the pre-image is kept in its original shape and size while being transformed at a specified angle and with respect to a reference point. Because of this, this transformation is rigid.
- Hence, the rigid body transformation matrix represents a solid body transformation.
To learn more about rigid body transformation, go through the following answers:
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