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Used with an autocollimator or angle dekkor and mirror it can be used for machine tool axis squareness checking and for measuring the squareness of surfaces. It has two mirrors at 45 degree to each other. One is half-silvered, called horizon glass, and other is fully silvered, called index glass. It measures angle by double reflection.
I.e., angle ∠ POP′′ will measure 2θ. A pair of rotations about the same point O will be equivalent to another rotation about point O. On the other hand, the composition of a reflection and a rotation, or of a rotation and a reflection (composition is not commutative), will be equivalent to a reflection.
Every rotation in three dimensions is defined by its axis (a vector along this axis is unchanged by the rotation), and its angle — the amount of rotation about that axis (Euler rotation theorem). There are several methods to compute the axis and angle from a rotation matrix (see also axis–angle representation ).
CATIA (/ k ə ˈ t iː ə /, an acronym of computer-aided three-dimensional interactive application) is a multi-platform software suite for computer-aided design (CAD), computer-aided manufacturing (CAM), computer-aided engineering (CAE), 3D modeling and product lifecycle management (PLM), developed by the French company Dassault Systèmes.
The profile projector is widely used for complex-shape stampings, gears, cams, threads and comparing the measured contour model.The profile projector is hence widely used in precision machinery manufacturing, including aviation, aerospace industry, watches and clocks, electronics, instrumentation industry, research institutes and detection metering stations at all levels, etc.
Tilt quantifies the average slope in both the X and Y directions of a wavefront or phase profile across the pupil of an optical system. In conjunction with piston (the first Zernike polynomial term), X and Y tilt can be modeled using the second and third Zernike polynomials:
The ray tracing technique is based on two reference planes, called the input and output planes, each perpendicular to the optical axis of the system. At any point along the optical train an optical axis is defined corresponding to a central ray; that central ray is propagated to define the optical axis further in the optical train which need ...
An optical axis is an imaginary line that passes through the geometrical center of an optical system such as a camera lens, microscope or telescopic sight. [1] Lens elements often have rotational symmetry about the axis. The optical axis defines the path along which light propagates through the system, up to first approximation.