I-38
Quick Guide to Precision
Measuring Instruments
■
Erect Image and Inverted Image
An image of an object projected onto a screen is erect if it is
orientated the same way as the object on the stage. If the image is
reversed top to bottom, left to right and by movement with respect
to the object on the stage (as shown in the gure below) it is referred
to as an inverted image (also known as a reversed image, which is
probably more accurate).
■ Magnification Accuracy
The magnication 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
screen, with the expected size (calculated from the lens magnication,
as marked) to produce a percentage magnication accuracy gure, 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’.
(Note that magnication accuracy is not the same as measuring accuracy.)
■ Type of Illumination
l Contour illumination: An illumination method to observe a
workpiece by transmitted light and is used mainly for measuring
the magnied contour image of a workpiece.
l Coaxial surface illumination: An illumination method whereby a
workpiece is illuminated by light transmitted coaxially to the lens
for the observation/measurement of the surface. (A half-mirror or a
projection lens with a built-in half-mirror is needed.)
l Oblique surface illumination: A method of illumination by obliquely
illuminating the workpiece surface. This method provides an
image of enhanced contrast, allowing it to be observed three-
dimensionally and clearly. However, note that an error is apt
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.)
■ Telecentric Optical System
An optical system based on the principle that the principal ray is
aligned parallel to the optical axis by placing a lens stop on the focal
point on the image side. Its functional feature is that the image will
not vary in size though the image blurs as the object is shifted along
the optical axis.
For measuring projectors and measuring microscopes, an identical
effect is obtained by placing a lamp lament at the focal point of a
condenser lens instead of a lens stop so that the object is illuminated
with parallel beams. (See the gure below.)
■ Working distance
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
below.
■ Parallax error
This is the displacement of an object against a xed background
caused by a change in the observer's position and a nite separation
of the object and background planes.
■ Field of view diameter
The maximum diameter of workpiece that can be projected using a
particular lens.
ΔM(%): Magnification accuracy expressed as a percentage
of the nominal lens magnification
L : Length of the projected image of the reference object
measured on the screen
: Length of the reference object
M : Magnication of the projection lens
Optical axis
Projection lens
Focal point on the image side
Telecentric contour illumination
Condenser lens
Workpiece
Projection
screen surface
Principal ray
Object surface
Light source
(lamp)
Parallax error
Projector screen
Projection lens
Workpiece stage
Workpiece
L
F
F
An erect image
F
F
An inverted image
Projection screen
Top of the stage
F
Workpiece
X-axis movement
Y-axis movement
Example: If a 5X magnication lens is used for a projector with a
screen of ø500mm:
Field of view diameter is given by
500mm
= 100mm
5
Field of view diameter (mm) =
Screen diameter of prole projector
Magnication of projection lens used
L−
M
ΔM(%)
=
———
X 100
M
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