U.S. patent application number 09/734082 was filed with the patent office on 2002-06-20 for range measurement system.
Invention is credited to Holec, Henry V..
Application Number | 20020075471 09/734082 |
Document ID | / |
Family ID | 24950236 |
Filed Date | 2002-06-20 |
United States Patent
Application |
20020075471 |
Kind Code |
A1 |
Holec, Henry V. |
June 20, 2002 |
RANGE MEASUREMENT SYSTEM
Abstract
A system and method for accurate measurement of distance and
location of an object. The system comprises low-cost optical signal
generators, aligned in a known configuration, to project a
two-dimensional geometric figure on the object to be measured, or
on a target attached to the object. The system captures an image of
the projected figure, determines the exact geometry (e.g., area or
circumference) of the figure, and calculates the exact distance to
the object based on comparison of that geometry to the known
configuration of the laser line generators. The invention
simultaneously determines relative X and Y position of the object,
thereby giving accurate X, Y, and Z coordinates.
Inventors: |
Holec, Henry V.; (Mendota
Heights, MN) |
Correspondence
Address: |
GRAY, PLANT, MOOTY, MOOTY & BENNETT, P.A.
P.O. BOX 2906
MINNEAPOLIS
MN
55402-0906
US
|
Family ID: |
24950236 |
Appl. No.: |
09/734082 |
Filed: |
December 11, 2000 |
Current U.S.
Class: |
356/3.01 |
Current CPC
Class: |
G01S 17/46 20130101 |
Class at
Publication: |
356/3.01 |
International
Class: |
G01C 003/00; G01C
003/08; G01C 005/00 |
Claims
I claim:
1. A system for measuring distance to a target along a Z axis
within a measurement range, comprising: a) at least one optical
signal generator, aimed to project onto the target a signal in the
form of a two-dimensional geometric figure; b) an image device
aimed to capture a reflected image of the two-dimensional geometric
figure; and c) an image analyzer, connected to the image device,
configured to compute distance to the target from a geometric
parameter of the reflected image.
2. A system for measuring location of a target in at least one
dimension within a measurement range, comprising: a) at least one
optical signal generator, aimed to project onto the target a signal
in the form of a two-dimensional geometric figure; b) a contrasting
feature on the target; c) an image device aimed to capture a
reflected image of the two-dimensional geometric figure; and d) an
image analyzer, connected to the image device, configured to i)
compute, from a geometric parameter of the reflected image, the
distance to the target along a Z axis; ii) locate a point within
the contrasting feature relative to a field of view of the image
device; iii) use the result of ii) to compute, as a function of the
distance computed in i), location of the target in at least one
dimension.
3. The system of claim 2, in which the point is the geometric
center of the contrasting feature.
4. The system of claims 1 or 2, further comprising at least one
optical element through which the generator or image device is
aimed.
5. The system of claims 1 or 2, in which the geometric parameter is
the perimeter of the geometric figure.
6. The system of claims 1 or 2, in which the two-dimensional
geometric figure is symmetric.
7. The system of claims 1 or 2, in which the two-dimensional
geometric figure is a polygon.
8. The system of claims 1 or 2, in which the two-dimensional
geometric figure is a triangle.
9. The system of claims 1 or 2, in which the image device is an
electronic camera.
10. The system of claims 1 or 2, in which the image analyzer
determines the distance to the target using at least one of: a
calibrated magnification of the system and the two-dimensional
geometric parameter; a calibrated lookup table; and a mathematical
equation.
11. The system of claims 1 or 2, in which the optical signal
generators rotate to change dimensions of the two-dimensional
geometric figure.
12. The system of claims 1 or 2, in which the optical signal
generators are laser line generators.
13. A target for determining location within a measurement range,
comprising: a base having a flat retroreflective surface region; a
flat contrasting inset region located within, and flush with, the
flat retroreflective surface; and a transparent protective cover
over the retroreflective and contrasting regions.
14. The combination of the system of claim 1 or claim 2 and the
target of claim 13.
15. A method for measuring distance to a target along a Z axis
within a measurement range, comprising: a) projecting onto the
target a two-dimensional geometric figure; b) capturing a reflected
image of the two-dimensional geometric figure; and c) computing
distance to the target from a geometric parameter of the reflected
image.
16. A method for measuring location of a target in three dimensions
within a measurement range, comprising: a) projecting onto the
target a geometric figure; b) capturing an image of the geometric
figure; c) capturing an image of a contrasting feature on the
target; d) computing, from a geometric parameter of the reflected
image, distance to the target along a Z axis; e) locating a point
within the contrasting feature relative to a field of view; and f)
using the result of e) to compute, as a function of the distance
computed in d), location of the target in X and Y directions.
17. The method of claim 16, further comprising illuminating the
contrasting feature on the target and capturing a reflected image
of the contrasting feature.
18. The method of claim 16, in which the point is the geometric
center of the contrasting feature.
19. The method of claims 15 or 16, further comprising providing at
least one optical element through which the projecting or capturing
occur(s).
20. The method of claims 15 or 16, further comprising aiming an
image device along the Z axis to capture the reflected image.
21. The method of claims 15 or 16, in which the geometric parameter
is the perimeter of the geometric figure.
22. The method of claims 15 or 16, in which the two-dimensional
geometric figure is symmetric.
23. The method of claims 15 or 16, in which the two-dimensional
geometric figure is a polygon.
24. The method of claims 15 or 16, in which the geometric figure is
a triangle.
25. The method of claims 15 or 16, further comprising determining
the distance to the target using at least one of: a calibrated
magnification of the system and the two-dimensional geometric
parameter; a calibrated lookup table; and a mathematical
equation.
26. The method of claims 15 or 16, further comprising rotating the
optical signal generators to change dimensions of the
two-dimensional geometric figure.
Description
TECHNICAL FIELD
[0001] This invention concerns systems and methods for measuring
the position and distance of a remote object.
BACKGROUND
[0002] Several methods have been employed to make non-contact
measurement of distance or relative displacement of an object from
a transducer. One class of such methods relies on optical
principles. In measuring distance optically, parallax, wave
interference, or time of flight are often employed. Parallax-based
optical measurement can be further subdivided into multi-view
(e.g., stereography) or structured light source (e.g., laser
triangulation) systems. Most system designs seek to optimize one or
more operational characteristics versus cost. Transducer size,
range, operating distance, repeatability, accuracy, resolution,
sample frequency, operating temperature range, sensitivity to
environment, and shadowing effects are typical characteristics.
There is a need for a low cost, low-to medium-range distance
measurement system that exhibits exceptional repeatability,
accuracy, speed, and low sensitivity to temperature and ambient
light.
DISCLOSURE OF INVENTION
[0003] In general terms, one aspect of the invention is a system
for measuring distance to a target along a Z axis within a
measurement range. The system comprises at least one (preferably
three) optical signal generator(s) that are aimed to project onto
the target a signal in the form of a two dimensional geometric
figure (as opposed to a line, pairs of non-intersecting lines, or a
single point). The signal generator(s) are typically but not
necessarily aimed directly at the target, i.e., along the Z-axis.
Regardless of the direction of aiming, there could be an
intermediate optical element, such as a mirror or lens, along the
path; however, such elements are not required and in some
embodiments they would not be preferred because they complicate the
operation of the system (although the techniques to account for the
use of such optical elements are well within the skill of the art).
An image device is aimed (typically but not necessarily directly at
the target) to capture a reflected image of the two dimensional
geometric figure. Again, there could be an intermediate optical
element, such as a mirror or lens, along the path. An image
analyzer is connected to the image device. The image analyzer
computes distance to the target from a geometric parameter of the
reflected image. Typical geometric parameters are size, shape,
area, orientation, length of perimeter (circumference), and other
equivalent parameters.
[0004] A similar but alternative aspect of the invention is a
system for measuring location of a target in three dimensions
within a measurement range. This system is like the one just
described, but the image analyzer also locates a point on the
target relative to a field of view of the image device. Generally,
but not necessarily, the point on the target is the geometric
center of a known contrasting feature of the target. The system
then uses the distance to the target and the point it has located,
along with a predetermined magnification curve for the image
device, to compute the location of the target in X and Y
directions.
[0005] Another alternative aspect of the invention is a method for
measuring distance to a target along a Z axis within a measurement
range. The method does not require use of the equipment
specifically described in the system aspects set forth above. The
method comprises: projecting onto the target a two dimensional
geometric figure; capturing a reflected image of the geometric
figure; and computing distance to the target from a geometric
parameter of the reflected image.
[0006] Yet another alternative aspect of the invention is a method
for measuring location of a target in three dimensions within a
measurement range. The method does not require use of the equipment
specifically described in the system aspects set forth above. The
method comprises: projecting onto the target a two dimensional
geometric figure; capturing a reflected image of the geometric
figure; computing, from a geometric parameter of the reflected
image, the distance to the target along a Z axis; locating a point
on the target relative to a field of view; and using the distance
it has computed, the point it has located, and a predetermined
magnification curve for the image device, to compute the location
of the target in X and Y directions.
[0007] In any of the aspects of the invention described above, it
is preferred but not required for the center of projection of the
two dimensional geometric figure to lie along the Z axis. The two
dimensional geometric figure may be a whole or partial polygon (the
most preferred being a triangle), circle, or other figure having
symmetric portions. The two-dimensional geometric figure need not
be a closed figure so long as enough of the overall figure is
visible to construct and analyze the image.
[0008] Typically, the target is retroreflective and/or mounted to
an object within the measurement range, but neither of these is
required.
[0009] Suitable image devices include electronic cameras of any
design. Suitable signal generators are laser line generators and
optical line projectors.
[0010] One specifically preferred technique is for the image
analyzer to use a calibrated magnification of the system and the
geometric parameter to determine the distance to the target.
Another is for the image analyzer to use a calibrated lookup table
to determine the distance to the target. Yet another is for the
image analyzer to use a mathematical equation to determine the
distance to the target.
[0011] Finally, another aspect of the invention is a target for
determining location within a measurement range. This is the
preferred, but not required, target for use in the aspects of the
invention described above. The target comprises a base which has a
flat retroreflective surface region. Within, and flush with, the
flat retroreflective surface lies a flat contrasting inset region.
A transparent protective cover (e.g., polycarbonate) lies over the
retroreflective and contrasting regions. The preferred but not
required shape of the target is circular. Another preferred but not
required feature is some means of attachment to another object. Any
means of attachment is suitable, and all such means are equivalents
of each other for purposes of this invention.
BRIEF DESCRIPTION OF THE FIGURES
[0012] The figures illustrate an only example of the invention and
therefore do not indicate limitations on the scope of the
invention.
[0013] FIG. 1 is a schematic diagram illustrating the invention and
related geometry.
[0014] FIGS. 2 and 3 are respective side and top views of a
preferred embodiment of the invention.
[0015] FIG. 4 is a perspective view of the embodiment of FIGS. 2
and 3 within an optional extension arm.
[0016] FIG. 5 is a perspective exploded view of a preferred
embodiment of a retro-reflective target aspect of the
invention.
[0017] FIG. 6 is a side view of an alternative embodiment of the
invention.
[0018] FIG. 7 is a schematic view of an image produced by an
alternative embodiment of the invention.
DETAILED DESCRIPTION
[0019] FIG. 1 is a schematic diagram illustrating the invention and
related geometry. A plurality of optical signal generators 100 are
aimed to project a two-dimensional geometric FIG. 110 on a target
120. The generators are also aimed so that the two dimensional
geometric figure is centered in the field of view of an image
device 130 when target 120 is within a desired measurement range R.
In the figure, the optical signal generators 100 and the image
device 130 are shown to be not on a common axis, but this is only
for convenience in the Figure. An image analyzer 140, connected to
image device 130, is configured to compute the distance D to target
120.
[0020] Target 120, image device 130, and optical signal generator
100 may be stationary, in which case D is a static distance
measurement; any (or all) may be moving relative to each other, in
which case D is an instantaneous measurement. Multiple
instantaneous measurements may be used to determine and/or control
relative separation between the two, all in accordance with known
principles.
[0021] In the preferred embodiment, as shown in FIGS. 2 and 3, a
measurement head 10 comprises three lasers 100 that each emit light
in the shape of a line perpendicular to the direction of projection
of the light. There are several conventional techniques for laser
line projection, including cylindrical lenses (preferred), sweeping
lasers, holographic lenses (not preferred as they produce poor
images), masks, and the like.
[0022] The lasers are aligned and inclined toward the center of
target 120. They are placed at 120-degree intervals surrounding an
optical path 102 that extends to a CCD camera (not shown for
clarity) serving as image device 130. Collectively, the three
lasers create a narrow "beam" around optical path 102.
[0023] Optional mirror 103 permits measurement head 10 to be
located in a preferred arm 300, as illustrated in FIG. 4, so that
distances may be measured from below objects located above arm 300.
The camera may be located within extension arm 301, remote from
measurement head 10, which lengthens the optical path but thereby
enables the use of low cost optical components despite a relatively
short working distance between measurement head 10 and target 120.
Extension arm 301 may move laterally and/or may rotate about its
central axis by any convenient means 303.
[0024] These options accommodate relatively large objects and/or
multiple distance measurements.
[0025] An alternative in which the camera is mounted at the center
of measurement head 10 is illustrated in FIG. 6.
[0026] Any mechanism for accomplishing the needed alignment and
inclination is suitable. In the preferred embodiment shown in FIGS.
2 and 3, three line-generating lasers 100 are mounted to a printed
circuit board having a center hole cut out for the camera optics
path. The printed circuit board is mounted to a stiff metal ring.
The mirror is seated on a cut cylinder mounted behind the ring. The
lasers 100 are symmetrically placed at 120 degree spacing on the
board. The printed circuit board has a relief slot allowing that
the lasers to be tilted slightly using a pair of adjustment screws
106 at the corners 105 of each leaf. The adjustment screws pull
against spring tension provided by a clip 107 at the back of the
board. This clip also seats the laser in its mounting hole, keeping
it square to the board.
[0027] Thus, at a given distance from camera 130 near the middle of
the measurement range R, all three lines intersect at a single
crossover point. If target 120 is not at that crossover point, the
three lines form a triangle as two-dimensional geometric FIG. 110.
Image analyzer 140 uses the image of the triangle captured by image
device 130 to obtain the circumference of the projected triangle.
The orientation of the triangle indicates whether target 120 is
closer or further from image device 130 than the crossover
point.
[0028] In an optional variation on this embodiment, each laser can
also be rotated in place about its axis as indicated by arrows 108,
thus changing the size of two dimensional geometric FIG. 110. The
set of lasers could include any convenient mechanical or electrical
linkage to control and coordinate their individual rotations. The
effect of such rotation is a variable measurement range in which
the invention operates, all other factors being constant.
[0029] As compared to other optical measurement systems, one
advantage of the invention follows from the crossover point lying
within the measurement range of the system. This permits the use of
optical equipment having relatively narrow fields of view, which
are physically smaller and thus suited for many applications in
which equipment size is important (such as in-line industrial
sensing, measurement, and other applications of machine vision,
particularly in the semiconductor and electronics industries). Yet,
despite its relatively narrow beam and field of view, the invention
provides relatively high resolution, very accurate distance
measurement, and very high repeatability. This can be compared to,
for example, so-called scanning Moir interferometers, which provide
accurate measurement but employ light projected at an angle of
incidence of approximately 45.degree. to the work surface, i.e., a
wide beam as compared to the invention. According to general
principles of optics, systems using such high beams are limited to
apertures of approximately the same size, which are undesirable. In
addition, such systems are subject to undesirable amounts of
shadowing effects. Thus, for example, the invention is particularly
well suited for measuring the depth of narrow holes.
[0030] If desired, and especially if optical signal generators
other than lasers are used, illumination sources 104 may be
similarly pointed toward target 120. Conventional high-intensity
near-infrared (NIR) light emitting diodes (LEDs) may be used for
illumination sources 104. The number and arrangement of
illumination sources 104 are not limitations on the scope of the
invention. High intensity light emitting diodes are also mounted on
the printed circuit board in a pattern that favors illumination of
the target. Some of these diodes surround the lasers and are
adjusted and aimed with the lasers. The lasers and diodes are
supplied voltage from off the board through mounted connectors,
allowing them to be turned on in banks or one at a time.
[0031] Depending on the magnification of the optical system,
distance to the crossover point, and the crossover angle, an
accurate relationship can be determined between circumference of
the triangle and true distance. Further, with careful image
processing the exact centerlines of each line projection can be
determined, which greatly reduces the effect of laser speckle,
biasing and distortion. Additionally, the use of a crossover point
in the mid-range of triangle projection increases the sensitivity
considerably, while at the same time providing a convenient
geometry for alignment and calibration.
[0032] FIG. 5 is a perspective exploded view of a preferred
embodiment of another aspect of the invention, a non-opaque
reflecting target 200 that may be mounted to object 120 and on
which two-dimensional geometric FIG. 110 may be projected. Use of
any target is optional, but preferred, to increase range and
sensitivity by reflecting a higher percentage of the light back
toward the image device 130. In the preferred embodiment shown,
target 200 comprises a fine-grained retroreflective material 201
mounted to a base 202 and covered with preferred protective layer
203, which may be attached to retroreflective material 201 with
conventional transparent spray adhesive. A center feature 204,
which may be any arbitrary shape but is preferred to be a circle to
simplify image processing, lies within retroreflective material
201. Alternative configurations for center feature 204 include any
polygon, crosshairs, etc. Center feature 204 may be located and
used for centering of the field of view of the cameras in
accordance with known techniques, however, the invention is robust
enough to tolerate off-center tolerances of as much as 0.5 inch
without loss of overall system accuracy.
[0033] These parts may be assembled in any convenient manner, but
it is particularly preferred to provide an appropriately sharp edge
205 on center feature 204 so that it may cut out the center portion
of retroreflective material 201 and press fit snugly into the
center hole of base 202, thus positioning the surface of center
feature 204 flush with the surface of retroreflective material 201.
Target 200 may be mounted to the object in any convenient manner,
such as by clip 206. Spacer 207 provides stability.
[0034] In operation, center feature 204 is kept generally centered
in the camera field of view, thus better maintaining symmetry for
the laser line and triangle projections. A contrasting feature at
the center of the target enables image analyzer 140 to determine
the X and Y displacements of the target within the camera field of
view. This is aided by the addition of an additional illumination
source selected for the camera sensitivity and aimed at the target.
By placing the light source near the camera optical path (thus
providing on-axis illumination), the retroreflective target also
serves to direct light into the camera and enhancing the contrast
of the target feature. The geometric center or outline of the
feature is used to determine the target X and Y displacement
relative to the camera field of view. A true measurement of X and Y
offset from the optical center line can be calculated after
calibrating the relationship between the magnification and the
distance, and by using the distance to the target determined by the
laser measurement (or some other means). Also, the size of the
image of center feature 204 provides an approximate measure of
distance D.
[0035] In yet another embodiment, multiple targets are used so that
a single image processed by image device 130 and image analyzer 140
may contain multiple portions, each of which is analyzed to
determine respective distances to each target. An example of the
image produced by one possible arrangement is shown in FIG. 7.
Annular target 150 surrounds optical path 102 (perpendicular to the
plane of FIG. 7) and circular target 160 is centered on optical
path 102.
[0036] For example, the target has a hole cut in the middle through
which a second target can be viewed. A contrasting (preferably
black) ring is inset at the outside edge of the first target. The
second target has a similarly contrasting (preferably black) circle
in the center. This configuration allows the differential
measurement of the two targets in X, Y, and Z directions. If both
targets are attached to the same object, both the position and
rotation of the object can be determined and tracked.
[0037] A similar "split" image, as indicated by FIG. 8, would
result if the invention were used to measure step height (or depth,
as the case may be) by determining the distance to each of multiple
portions of the image, then finding the difference between the two
distances.
[0038] In any embodiment of the invention, a computer controller
may control the lasers and lights, and also capture and analyze
images using an off-the-shelf frame grabber board. Suitable
equipment includes a commercially available CCIR format camera,
Leutron black and white frame grabber board, and a PC compatible
computer with a 333 MHz AMD K6 processor.
[0039] When making a distance measurement, the lasers are turned on
together or one at a time. Together, the lasers project an
equilateral triangle in the preferred embodiment. The size of this
triangle depends on the distance D. Normally, the lasers are aimed
so that when the target is at the crossover point, all of the lines
intersect symmetrically in a point. The triangle "inverts" on
either side of this point, i.e., the direction in which any given
apex of the triangle points will reverse on itself as the object
moves through the crossover point. The camera captures an image of
the laser projections. Line detection and regression or any of a
variety of pattern recognition algorithms can be used to determine
the geometry and polarity of the equilateral triangle. In one
preferred implementation, lines may be analyzed individually by
capturing images with each laser individually turned on. Binary
conversion of the resulting 8-bit deep grayscale images may be
accomplished by setting a threshold point determined by histogram
analysis of each image. Pixels having intensities above a threshold
level are considered to be data points on the laser line. Linear
regression may be performed on each line data set to determine
slope and intercept; alternatively, any known form of similar data
analysis may be used, such as polynomial or logarithmic
regressions. The intersections of line pairs may then be used to
determine the corners of the triangle and in turn to calculate the
circumference. A simple test for polarity of the triangle checks
the position of one crossover point against the position of the
opposing leg of the triangle. The circumference value may then be
used to compute distance as a function of magnification, laser
pitch angle, and crossover distance. Alternately a calibrated
lookup table may be used.
[0040] In another embodiment, the image may be captured with all
three lines present. After binary conversion, the lines may be
separated by rotation, followed by histogrammed projection onto an
orthogonal axis. High pixel counts in the resulting histogram
indicate the location of a line. Masks may be calculated for each
line, which allows them to be separated from the general image.
After line separation, the triangle may be analyzed as described
above, and distance determined.
EXAMPLE
[0041] An embodiment of the invention was constructed for use in an
automated chassis measurement system of they type generally
disclosed in the pending U.S. patent application of Robert E. Olson
et al. entitled, "Robotic Vision and Measuring System." The
embodiment of the invention generally corresponded to the
embodiment of FIGS. 2-5, and was intended to permit measurement of
multiple (e.g., 24) points on the chassis of a vehicle suspended
approximately 24 inches above the arm of the system, and in which
the points lay within a vehicle envelope of 72 inch (width) by 216
inch (length) by 24 inch (height), exclusive of interference zones
and area outside of a 3 foot radius at either end of the length of
the envelope. In these circumstances, absolute measurement accuracy
(in three dimensions) of better than .+-.3 millimeter was required;
this implied a repeatability for any individual measurement of
better than .+-.0.6 millimeter.
[0042] The rotatable arm (FIG. 4) was approximately 42 inch in
length, and housed at its rotational end the measurement head
(FIGS. 2 and 3) beneath a clear glass protective cover. The central
assembly of the arm was itself movable in a lateral direction,
underneath the chassis, using a robot crawler and track system that
are not required for practice of the invention.
[0043] The measurement head comprised three laser line generators
arranged at 120 degree angles with respect to each other. Each
generator was a class IIIa visible red (670 nanometer wavelength)
laser operating at less than 2 mW output. Each was focused in the
range of 6-30 inches, and had a line width at half power of less
than 1 millimeter and a projection line angle greater than 10
degrees. They were arranged to provide resolution in each of the X,
Y, and Z directions of 0.010 inch, within a range of 2-84 inches,
as measured from the protective cover over the measurement head.
The field of view was 1.5 inch at the minimum working distance, 2.0
inch at 36 inch distance, and 4.0 inch at 84 inch distance.
[0044] Two banks of twelve high intensity LEDs, each having a
dispersion angle of 8-10 degrees and wavelength of 670 nanometers
(red), provided supplemental illumination of the target by the
measurement head. The intensity variance was less than 50% in the
field of view, and less than a ratio of 3:1 across the working
range.
[0045] The image device was a 1/3 inch CCD camera operating in CCIR
(black and white) mode. It had 540 lines of horizontal resolution
and at least 500 lines of vertical resolution, using a {fraction
(1/10,000)} second electronic shutter. The camera lens had a focal
length of 50 millimeter.
[0046] The target (FIG. 5), was 2 inch in diameter. The
retroreflective material provided a light reflection cone of 20
degrees in size, and the target could be measured within a viewing
angle of up to 45 degrees. The target was precision manufactured to
provided an offset error in X, Y, or Z direction (relative to a
datum point) of .+-.0.25 millimeter.
[0047] Unless specifically indicated otherwise, all references to
analog components should be understood to include digital
components (or to be equivalent to them, as the context may
dictate), and vice versa. All references to circuit components
(with or without ancillary items) should be understood as including
(or as equivalent to) any hardware- and/or software-based
implementation, including programmed microcontrollers, programmed
microprocessors, logic gates, programmable logic controllers,
custom state machines, and other customizable circuit elements.
[0048] The invention has been described without specific reference
to optical elements such as mirrors, lenses, etc. that could be
incorporated into the various embodiments of the invention without
changing the basic operating principles involved. Similarly, it is
well within the skill of the art to modify factors such as
magnification, orientation, and the like that would be introduced
by such elements. Therefore, it should be understood that
embodiments having such optical elements are either within the
literal scope of the invention as claimed below, or equivalent to
systems and methods defined by such claims, as the case may be.
Similarly, while the preferred embodiment uses light having a
frequency lying in the visible range, it should be understood that
this is not required and that modifications to any aspect of the
system that may be required to operate outside the visible range
are within the skill of the art, within the scope of the claims,
and/or equivalent to the invention, as the case may be.
[0049] All numerical values associated with the preferred
embodiment illustrated in the Figures are parameters that may take
on different values depending on the specific embodiment of the
invention that is implemented in practice. All such parameters may
therefore be adjustable, either by the user or automatically by the
system (e.g., by software within the system).
* * * * *