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Quick Guide to Precision                                                         Profile Projectors
Measuring Instruments

 Erect Image and Inverted Image   F                                              Telecentric Optical System

An image of an object projected onto a screen is erect if it is                  An optical system based on the principle that the principal ray is
orientated the same way as the object on the stage. If the image is              aligned parallel to the optical axis by placing a lens stop on the focal
reversed top to bottom, left to right and by movement with respect               point on the image side. Its functional feature is that the image will
to the object on the stage (as shown in the figure below) it is referred         not vary in size though the image blurs as the object is shifted along
to as an inverted image (also known as a reversed image, which is                the optical axis.
probably more accurate).                                                         For measuring projectors and measuring microscopes, an identical
                                                                                 effect is obtained by placing a lamp filament at the focal point of a
            F Projection screen                                                  condenser lens instead of a lens stop so that the object is illuminated
                                                                                 with parallel beams. (See the figure below.)

                                                                                                     Principal ray             Focal point on the image side

An erect image                     An inverted image

             FF                                                                  Light source        Object surface                                 Optical axis
                                 Top of the stage                                (lamp)                           Workpiece                                Projection

                                                                                     Condenser lens                            Projection lens         screen surface

                                                                                                     Telecentric contour illumination

F Workpiece

X-axis movement                                                                   Working Distance
Y-axis movement
                                                                                 Refers to the distance from the face of the projection lens to the
                                                                                 surface of a workpiece in focus. It is represented by L in the diagram
 Magnification Accuracy                                                         below.

The magnification accuracy of a projector when using a certain
lens is established by projecting an image of a reference object and
comparing the size of the image of this object, as measured on the                                                             Projection lens

screen, with the expected size (calculated from the lens magnification,                                                                         L
as marked) to produce a percentage magnification accuracy figure, as
illustrated below. The reference object is often in the form of a small,
graduated glass scale called a ’stage micrometer’ or ’standard scale’,
and the projected image of this is measured with a larger glass scale
known as a ’reading scale’.

J (Note that magnification accuracy is not the same as measuring accuracy.)

		M		 (%) = —L—- —M	M X 100                                                     Workpiece stage                    Workpiece

                    M(%): Magnification accuracy expressed as a percentage       Parallax Error
                         of the nominal lens magnification
                                                                                 This is the displacement of an object against a fixed background
                     L :	 Length of the projected image of the reference object  caused by a change in the observer's position and a finite separation
                         measured on the screen                                  of the object and background planes.

                       :	 Length of the reference object
                    M :	 Magnification of the projection lens

 Type of Illumination                                                           Parallax error

	Contour illumination: An illumination method to observe a                                          Projector screen
  workpiece by transmitted light and is used mainly for measuring
  the magnified contour image of a workpiece.                                     Field of View Diameter

	Coaxial surface illumination: An illumination method whereby a                 The maximum diameter of workpiece that can be projected using a
  workpiece is illuminated by light transmitted coaxially to the lens            particular lens.
  for the observation/measurement of the surface. (A half-mirror or a                                               Screen diameter of profile projector
  projection lens with a built-in half-mirror is needed.)                        F	 ield of view diameter (mm) =    Magnification of projection lens used

	Oblique surface illumination: A method of illumination by obliquely            Example: If a 5X magnification lens is used for a projector with a
  illuminating the workpiece surface. This method provides an                    screen of 500 mm:
  image of enhanced contrast, allowing it to be observed three-                                                                500 mm
  dimensionally and clearly. However, note that an error is apt                  			Field of view diameter is given by            5	            	=  100  mm
  to occur in dimensional measurement with this method of
  illumination.

	 (An oblique mirror is needed. Models in the PJ-H30 series are
  supplied with an oblique mirror.)

                             J-43

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