Often referred to as a slide or glides., DILATION : A transformation in which a figure is enlarged or reduced with respect to a fixed point., ENLARGEMENT : A dilation with a scale factor greater than 1., PRIME NOTATION : Symbol ('), is used to represent a transformed figure of the original figure., ROTATION : A transformation that revolves around a point, also called a spin. Includes translations, reflection and rotations., IMAGE : The resulting figure of a transformation, TRANSFORMATION : A geometric figure is a function that results in a change in the position, shape or size of the figure, TRANSLATION : A rigid transformation that maps all points of the same distance in the same direction. Example: Dilation, RIGID MOTION : A transformation that preserves distance and angle measures. QUESTIONS LIST: CENTER OF ROTATION : The point in which a plane figure rotates., LINE OF REFLECTION : The line that you reflect a figure across, REFLECTION : A figure across the line, These are referred to as mirror images., NON RIGID MOTION : Transformation changes the size of the pre-image. PRE IMAGE : In a transformation, the original figure ROTATION : A transformation that revolves around a point, also called a spin. PRIME NOTATION : Symbol ('), is used to represent a transformed figure of the original figure. Often referred to as a slide or glides.ĭILATION : A transformation in which a figure is enlarged or reduced with respect to a fixed point.ĮNLARGEMENT : A dilation with a scale factor greater than 1. INPUTS: X: 3D structure in the world coordinate frame (3xN matrix for N points) (om,T): rigid motion. TRANSLATION : A rigid transformation that maps all points of the same distance in the same direction. A rigid motion is the action of taking a geometric object in the plane and moving it is some fashion to another position in the plane without changing its shape or size. Computes the rigid motion transformation Y RX+T. TRANSFORMATION : A geometric figure is a function that results in a change in the position, shape or size of the figure IMAGE : The resulting figure of a transformation Includes translations, reflection and rotations. RIGID MOTION : A transformation that preserves distance and angle measures. NON RIGID MOTION : Transformation changes the size of the pre-image.
REFLECTION : A figure across the line, These are referred to as mirror images. 13.1.1 Examples of rigid bodies Our rst example of a rigid body is of a wheel rolling with constant angular velocity, and without slipping, This is shown. (13.2) These equations determine the motion of a rigid body.
LINE OF REFLECTION : The line that you reflect a figure across As derived previously, the equations of motion are P X i miri, P F(ext) (13.1) L X i miri×ri, L N(ext). Where rigid body dynamics are concisely represented by the compact unit dual quaternion. We present a novel approach to handling inertial measurement unit (IMU) measurements between two camera frames by the screw motion theory.
CENTER OF ROTATION : The point in which a plane figure rotates. In addition to limitations on only point transformation between frames. In other words, one point on the plane, the center of rotation, is fixed and.
#Rigid motion transformation pdf#
PDF will include puzzle sheet and the answer key. A transformation in which a plane figure turns around a fixed center point.
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