BACKGROUND OF THE INVENTION
1. Field of the Invention
-
The present invention relates to a printing head system
for use in an electrocoagulation printing apparatus, and more
particularly relates a printing head system including a
printing head supporting a linear array of electrolytically
inert electrodes electrically insulated from one another.
The linear array is divided into a plurality of groups, each
having a predetermined number of electrodes which separate
at a short distance one other.
-
The present invention also relates to a method for
transferring graphic data to an electrocoagulation printing
ink including an electrolytically coagulable polymer.
2. Prior Arts
-
In US Patent No.4,895,629 of January 23, 1990,
Applicant has described a high-speed electrocoagulation
printing method and apparatus in which use is made of a
positive electrode in the form of a revolving cylinder having
a passivated surface onto which dots of colored, coagulated
ink representative of an image are produced. These dots of
colored, coagulated ink are thereafter contacted with a
substrate such as paper to cause transfer of the colored,
coagulated ink onto the substrate and thereby imprint the
substrate with the image. As explained in this patent, the
surface of the positive electrode is coated with a dispersion
containing an olefinic substance and a metal oxide prior to
electrical energization of the negative electrodes in order
to weaken the adherence of the dots of coagulated ink to the
positive electrode and also to prevent an uncontrolled
corrosion of the positive electrode. In addition, gas
generated as a result of electrolysis upon energizing the
negative electrodes is consumed by reaction with the olefinic
substance so that there is no gas accumulation between the
negative and positive electrodes.
-
The electrocoagulation printing ink which is injected
into the gap defined between the positive and negative
electrodes consists essentially of a polymer dispersion
containing an electrolytically coagulable polymer, a
dispersing medium, a soluble electrolyte and a coloring agent.
Where the coloring agent used is a pigment, a dispersing agent
is added for uniformly dispersing the pigment into the ink.
After coagulation of the ink, any remaining non-coagulated
ink is removed from the surface of the positive electrode,
for example, by scraping the surface with a soft rubber
squeegee, so as to fully uncover the colored, coagulated ink
which is thereafter transferred onto the substrate. The
surface of the positive electrode is then cleaned to remove
therefrom any remaining coagulated ink.
-
The optical density of the dots of colored, coagulated
ink, hereinafter referred to as "pixels", may be varied by
varying the voltage and/or pulse duration of the pulse-modulated
signals applied to the negative electrodes. As a
typical example, the printing head which carries the negative
electrodes may comprise 2048 electrodes which are arranged
to define 64 groups or channels each having 32 electrodes.
By proper electronic circuitry, it is possible to
sequentially scan the electrodes of each channel while
performing such a scanning simultaneously for all channels,
and to apply a pulse-modulated signal to selected ones of the
electrodes during scanning to energize same. The pulse-modulated
signal may have a pulse duration ranging from about
15 to about 4000 nanoseconds. An electrical signal with a
pulse duration of 150 nanoseconds provides a pixel having an
optical density of 0.02 (very light gray), whereas an
electrical signal with a pulse duration of 4000 nanoseconds
provides a pixel having an optical density of 1.50 (black).
It is also possible to vary the pulse duration by a
predetermined number of time increments, for example, 63
increments of about 60 nanoseconds each or 255 increments of
about 15 nanoseconds each, depending upon the level of
fidelity of reproduction required. A signal whose pulse
duration can be varied from 15 to 4000 nanoseconds in 255
increments delivers of course the best tone reproduction.
Thus, in this case, the printing of a pixel starts with a pulse
duration of about 15 nanoseconds up to 4000 nanoseconds and
stops when the desired optical density is reached.
-
The negative electrodes are arranged in rectilinear
alignment to define a series of corresponding negative
electrode active surfaces which are disposed in a plane
parallel to the rotation axis of the positive electrode and
spaced from the surface thereof by a constant predetermined
gap filled with the aforesaid electrocoagulation printing ink.
Electrical energization of selected ones of the negative
electrodes causes point-by-point selective coagulation and
adherence of the ink onto the olefin and metal-oxide coated
positive electrode surface opposite the electrode active
surfaces of the energized negative electrodes while the
positive electrode is rotating, thereby forming the aforesaid
dots of colored, coagulated ink or pixels. The addressing
mode of the negative electrodes is such that at any given time,
a signal is impressed at a single electrode in each and every
channel. In the example given above, at the beginning of the
electrocoagulation printing, current injection is performed
simultaneously through the 1st electrode of every channel;
thus, 32 non-contiguous electrodes are energized at the same
time. At the next cycle, the 2nd electrode in every channel
is energized. This procedure is repeated until all the
electrodes of the linear array have been energized.
-
Since the negative electrodes energized at any given
point in time are non-contiguous and the film of
electrocoagulation printing ink on the surface of the
positive electrode constantly moves relative to the linear
array of negative electrodes due to the rotation of the
positive electrode, the electrode addressing mode creates a
saw-toothed image resulting from the displacement of two
adjacent pixels relative to one another along the direction
of rotation of the positive electrode. Such a displacement
is function of the time frame between the electrical
energization of consecutive electrodes and also function of
the speed of rotation of the positive electrode. The quality
of the image thus reproduced is obviously less than perfect.
Applicant has also observed the occurrence of overly dense
pixels.
-
With reference to a drawing, the above described
conventional art is explained again hereinunder.
-
Fig.1 illustrates the configuration of the negative
electrodes in a prior art printing head. The printing head
comprises a linear array of 2048 electrodes that are arranged
into 64 groups each having 32 electrodes. The electrodes of
the array are disposed along an imaginary line which extends
generally transversely to the direction of movement of the
film of electrocoagulation printing ink carried by the
positive electrode. A driver circuit (not shown)
electrically energizes selected ones of the negative
electrodes to cause point-by-point selective coagulation of
the polymer present in the ink, opposite the surfaces of the
energized electrodes. The level of coagulation of the ink
depends on the voltage and pulse duration of the pulse-modulated
signals applied to the negative electrodes. For
practical reasons, the voltage is held constant and only the
pulse duration is varied to control the level of coagulation.
In turn, the level of coagulation determines the optical
density of each pixel in the image which is ultimately
transferred onto the substrate.
-
The electrode addressing scheme of the prior art
printing head is such that at time t1 the 1st electrode of
each and every group is energized. The next current injection
event occurring at t2 renders only the second electrode of
each and every group active. This sequence is continued until
every electrode of the array has been activated. In the
example given above, a complete activation cycle requires 32
current injection events, one event rendering 64 electrodes
active.
-
During each current injection event, the electrodes
that are being activated are non-contiguous. In the
arrangement shown at Fig.1, the distance between two active
electrodes corresponds to the width of 31 electrodes. In
other words, 31 inactive electrodes separate the active
electrodes. Such an electrode addressing scheme creates the
pixel distribution profile shown at Fig.2. This profile is
characterized by a displacement of adjacent pixels relative
to one another that results from the movement of the film of
the electrocoagulation printing ink between successive
current injection events. In Fig.2, this displacement is
designated by reference numeral 10. The displacement is
primarily function of the time between successive current
injection events and the speed at which the film of
electrocoagulation printing ink moves. The displacement may
be important since electrocoagulation printing systems are
designed to operate at high speed. For example, for a
printing speed of one meter per second, the inter-pixel shift
(or localized coagulation site) is of 4 micrometers when the
current injection events occur at 4 microseconds intervals.
-
The inter-pixel shift depicted at Fig.2 is undesirable
since it is easily perceived by the human eye and it adversely
affects the quality of the image as it creates a saw-toothed
image.
SUMMARY OF THE INVENTION
-
It is therefore an object of the invention to overcome
the above drawbacks and to provide a printing head system for
electrocoagulation printing, that is capable of improving the
quality of the image reproduced by electrocoagulation of an
electrolytically coagulable printing ink.
-
It is another object of the invention to provide a
device for correcting the optical density of the pixels
produced by electrocoagulation of an electrolytically
coagulable printing ink, with a view to limiting the
occurrence of overly dense pixels.
-
To achieve the above objects, according to an aspect
of the present invention, there is provided, a printing head
system for an electrocoagulation printing apparatus, said
printing head system comprising: an electrode carrier; a
linear array of electrolytically inert electrodes
electrically insulated from one another and mounted to said
electrode carrier, said array of electrodes being arranged
into a plurality of groups each having a predetermined number
of closely spaced electrodes; and a driver circuit for
addressing the electrodes of selected groups, said driver
circuit being responsive to a graphical data input signal to
cause simultaneous passage of electric current through at
least a major portion of the electrodes in a selected one of
said groups, said major portion of electrodes including
electrodes that are contiguous with one another.
-
According to a preferred embodiment of the present
invention, said electrocoagulation printing apparatus
includes a movable positive electrode carrying a film of
electrocoagulation printing ink and adapted to displace said
film along a predetermined direction, and wherein the
electrodes of said array are arranged in rectilinear
alignment along an imaginary line extending generally
transverse to said predetermined direction.
-
According to a preferred embodiment of the present
invention, the electrodes in a selected group define a
generally rectilinear electrocoagulation zone extending
generally transverse to said predetermined direction.
-
According to a preferred embodiment of the present
invention, said driver circuit includes a plurality of driver
modules each electrically coupled to a single electrode in
every group of electrode.
-
According to a preferred embodiment of the present
invention, said groups of electrodes each have the same number
of electrodes.
-
According to a preferred embodiment of the present
invention, the driver circuit is responsive to a first
graphical data input signal for simultaneously initiating at
a first point in time injection of electric current through
a first group of electrodes, said driver circuit being further
responsive to a second graphical data input signal for
initiating at a second point in time simultaneous injection
of electric current through a second group of electrodes, said
first and second groups of electrodes being contiguous with
one another, said second point in time occurring subsequently
to said first point in time.
-
According to another aspect of the present invention,
there is provided a method for transferring graphical data
to an electrocoagulation printing ink containing an
electrolytically coagulable polymer, said method comprising
the steps of: a) providing a linear array of electrolytically
inert electrodes electrically insulated from one another and
in contact with a film of said ink moving along a predetermined
direction, said array of electrodes being arranged into a
plurality of groups each having a predetermined number of
closely spaced electrodes; and b) addressing the electrodes
of selected groups in response to a signal containing said
graphical data, to cause simultaneous passage of electric
current through at least a major portion of the electrodes
in a selected one of the groups, said major portion of
electrodes including electrodes that are contiguous with one
another, thereby simultaneously inducing localized
coagulation of said polymer at a plurality of contiguous sites
arranged along an imaginary line extending generally
transverse to said predetermined direction.
-
According to still another aspect of the present
invention, there is provided, in an electrocoagulation
printing apparatus including a printing head carrying a
linear array of electrolytically inert electrodes
electrically insulated from one another, said array of
electrodes being arranged into a plurality of groups each
having a predetermined number of closely spaced electrodes,
the improvement comprising a signal processing device for
correcting pixel density, said signal processing device
including: an input for receiving a signal representative of
a pixel density value associated with each electrode in one
of said groups of electrodes; a signal processing circuit for
altering a pixel density value associated with a selected
electrode in said one group of electrodes at least partially
in dependence of pixel density values associated with other
electrodes in said one group; and an output coupled to the
selected electrode for supplying thereto the altered pixel
density value.
-
According to a preferred embodiment of the present
invention, said processing circuit includes means for
processing pixel density values associated with a plurality
of electrodes in said one group and computing a correction
factor for altering the pixel density value associated with
said selected electrode.
-
According to yet still another aspect of the present
invention, there is provided a pixel density correction
device for processing a signal containing pixel density
values conveyed to a printing head of an electrocoagulation
printing apparatus that includes a plurality of
simultaneously addressable electrodes, said pixel density
correction device including: an input for receiving said
signal representative of pixel density values associated with
said simultaneously addressable electrodes; and a signal
processing element for altering a pixel density value of a
selected one of said simultaneously addressable electrodes,
said signal processing element being responsive to pixel
density values associated with electrodes other than said
selected electrode to determine a corrected pixel density
value associated with said selected electrode.
-
According to further aspect of the present invention,
there is provided a method of correcting pixel density,
comprising the steps of: a) processing a signal containing
pixel density values conveyed to a printing head of an
electrocoagulation printing apparatus that includes a
plurality of simultaneously addressable electrodes to
determine a corrected pixel density value associated with a
selected one of said plurality of simultaneously addressable
electrodes in dependence of pixel density values associated
with electrodes other than said selected electrode; and b)
outputting the corrected pixel density value.
-
According to still further aspect of the present
invention, there is provided, in an electrocoagulation
printing apparatus having a printing head with an array of
electrodes and a driver circuit for impressing electric
signals to individual electrodes of said array, the
improvement wherein said driver circuit includes current
limiting means for limiting the magnitude of electric current
passing through individual electrodes to a predetermined
value.
-
According to yet still further aspect of the present
invention, there is provided a film of electrocoagulation
printing ink containing a coagulated polymer with embedded
graphical data, said film including a matrix of localized
coagulation sites, said polymer being coagulated to a
selected degree at each said site, said matrix comprising a
row of contiguous sites that extend along an imaginary
straight line.
-
The nature, principle and utility of the invention will
become more apparent from the following detailed description
when read in conjunction with the accompanying drawings.
BRIEF DESCRIPTION OF THE DRAWINGS
-
Further features and advantages of the invention will
become more readily apparent from the following description
of preferred embodiments, reference being made to the
accompanying drawings, in which:
- Fig.1 is a general schematic view illustrating the
configuration of the electrodes array in a prior art printing
head for use in an electrocoagulation printing apparatus;
- Fig.2 illustrates the distribution of the locally
coagulated sites in the electrocoagulation printing ink, that
are created with the electrode configuration shown in Fig.1;
- Fig.3 is a schematic view of the array of electrodes
in a printing head according to a preferred embodiment of the
invention;
- Fig.4 is a diagram illustrating the pulse duration
through the electrodes of a selected group designed to create
in the electrocoagulation printing ink sites of different
level of coagulation;
- Fig.5 illustrates the distribution of the localized
coagulation sites in the electrocoagulation printing ink
obtained by using a printing head in accordance with the
invention;
- Fig.6 is an algorithm for correcting pixel density
values;
- Figs.7a to 7d show graphs of pixel density values
associated with a group of electrodes to illustrate the
possible correction levels that may be implemented in
dependence of the pixel values distribution profile;
- Fig.8 is a block diagram of an electronic device for
effecting pixel density correction; and
- Fig.9 is a schematic view illustrating a printing head
provided with a driver circuit featuring a current limiting
system, in accordance with a preferred embodiment of the
invention.
-
DESCRIPTION OF THE PREFERRED EMBODIMENTS
-
The detail description of the preferred embodiments
will be made with reference to the accompanying drawings
hereinunder.
-
Fig.3 illustrates schematically the connection between
the electrodes and the driver circuit that controls the
activation of the electrodes. Physically, the electrodes
are disposed in the same manner as in the prior art printing
head depicted in Fig.1. For ease of illustration, the various
electrode groups have been shown at Fig.3 as being vertically
offset; however, it should be understood that the electrode
groups are arranged consecutively to form the linear array
shown in Fig.1. A plurality of driver modules are mounted
in the printing head for energizing selected ones of the
electrodes. The printing head is provided with 64 driver
modules, each module being connected to a respective
electrode of every group. More specifically, module No. 1
is connected to electrode No. 1 of group 1, electrode No. 1
of group 2, etc. Driver module No. 2 is connected to electrode
No. 2 of group 1, electrode No. 2 of group 2, etc.
-
In operation, at time t1 each driver module impresses
a signal on the conductor leading to the associated electrode
of the first group. Preferably, the voltage level of the
signal is uniform across the electrodes of the group. In a
most preferred embodiment, the voltage is about 40-60 volts.
The pulse duration of the pulse-modulated signal, however,
usually varies from one electrode to another. This enables
to coagulate the polymer present in the electrocoagulation
printing ink in contact with the electrodes of a selected
group according to a pattern corresponding to the graphical
data contained in the signal that is communicated to the
printing head. Fig.4 best shows this feature. In this
example, the electrocoagulation printing ink at the sites
associated with electrode Nos. 1 to 30 will be coagulated the
least since the pulse duration of the signal applied to this
sub-group of electrodes is the shortest. A higher level of
coagulation will be obtained at the sites associated with
electrode Nos. 31 to 45. The level of coagulation at the sites
associated with electrode Nos. 46 to 57 is at a level
intermediate between the levels for electrode Nos. 1 to 30
and Nos. 31 to 45. Finally, the level of coagulation is
highest at the sites associated with electrode Nos. 58 to 64
where the pulse duration is the longest.
-
A highly coagulated electrocoagulation printing ink
will produce a dark pixel when the coagulated ink is
transferred onto a suitable substrate, such as paper. Thus,
in the above example, the sub-group of electrode Nos. 1 to
30 will create 30 relatively light pixels. Electrode Nos.
58 to 64 will form dark pixels. The pixels formed by the
remaining electrodes of the group will have optical density
values between those of sub-group 1 to 30 and 58 to 64.
-
The pattern of pixels on the substrate is shown in Fig.5.
Each group of electrodes creates a collection of 64 pixels
that exhibit no shift or displacement along the direction of
movement of the film of electrocoagulation printing ink
relative to the printing head. This pixel pattern has been
found to significantly improve the image quality since the
saw-tooth effect is virtually eliminated. However, a shift
occurs at the boundary between adjacent pixel collections
formed by different electrode groups, such as for example,
the collections formed at t1 and t2. Although being
undesirable, such a shift has not been found particularly
objectionable as it is very difficult to perceive visually.
-
Here, it is to be noted that it is not necessary to
activate all the 64 electrodes in a group. It may be enough
to activate a main part of the 64 electrodes.
-
The method consists of simultaneously energizing
contiguous electrodes of the array, as described above, is
capable of substantially eliminating the undesirable saw-tooth
effect that occurs with prior art printing heads. In
order to further improve the print quality, Applicant has
discovered that by implementing a novel pixel density
correction method, higher levels of precision in the optical
densities of the pixels can be achieved. The term "pixel
density" as used herein refers to the optical density of a
pixel formed by electrocoagulation of the polymer present in
an electrocoagulation printing ink. Without being bound by
a certain theory, it is believed that a certain pixel density
or shade unbalance can occur when contiguous electrodes of
the array are simultaneously energized. This unbalance is
believed to result from a certain impedance variation in the
electrocoagulation printing ink, producing higher currents
than those normally expected. Accordingly, the pixel
density is higher particularly at light shaded areas. As
discussed earlier, varying the duration of the current
injection event controls the pixel density. Each driver
module impresses at the respective electrode a constant
voltage signal and the duration of that signal determines the
level of pixel density. This mode of operation, however, is
based on the assumption that the magnitude of the current
through the film of electrocoagulation printing ink is
constant. In most instances, this assumption is true.
However, when a number of contiguous electrodes are energized
simultaneously, the impedance may no longer remain constant
and this creates for some of the electrodes higher currents
than those normally expected.
-
One possibility to correct this potential difficulty
is to alter the signal applied to the individual driver
modules to compensate for the impedance imbalance. In a most
preferred embodiment, the pixel density value associated with
every electrode is compensated, the level of compensation
being dependent upon the pixel density value of at least one
neighboring electrode. Preferably, the level of
compensation for one electrode is established on the basis
of the pixel density values which are associated with the
neighboring electrodes and which are numerically higher
(lighter shades) than the pixel density value associated with
the electrode being currently compensated.
-
The method of correcting pixel density is illustrated
in Fig.6. The flow chart depicts an operational loop that
examines the pixel density value associated with each
electrode of a given group from the array. At every loop,
a pixel density correction value is calculated for the current
electrode and stored in a table. When the pixel density value
for the last electrode in the group has been processed, the
correction is implemented and the resulting corrected signal
is transferred to the respective driver modules of the
printing head.
-
The graphical data input signal which is applied to the
printing head is a digital signal containing a number of
discrete pixel density values. Typically, each pixel
density value is an 8-bit string that can take 256 different
values. In other words, each electrode can be assigned a
pixel density value from 0 to 255, where 0 is black while 255
is white, the intermediate values designating different gray
levels. For convenience, the shade values are being
described in this example with reference to black and white
printing. If another color is applied, say red, 0 will refer
to pure red, 255 to absence of red, while the intermediate
values will refer to different shades of red. In the absence
of any correction, the 8-bit strings are transferred to the
respective driver modules which apply corresponding signals
to the electrodes, whose duration is determined by the
magnitudes of the 8-bit strings.
-
It has been found that an optimum area in the signal
distribution path to effect the correction is at a point
intermediate the source of the original digital signal and
the driver modules. A pixel density correction system can
be placed at any point location between these extremities to
intercept the non-corrected digital signal, alter the signal
in accordance with a predetermined algorithm and then
transfer the corrected signal to the driver modules of the
printing head. In a most preferred embodiment, the
correction algorithm compares each pixel density value to the
average pixel density values in the group denoting lower pixel
densities (numerically higher values). If the given pixel
density is far from the average, a strong correction will be
required. Also, a strong correction will be made when there
are many assigned lower pixel densities in the group. The
correction is usually done by reducing the optical density
of the pixel, in other words increasing the magnitude of the
pixel density value. Fig.7 illustrates typical situations:
- a) In Fig.7a, the density of the lower part of the
electrode group is very far from average. Many pixels have
a density lower than those of the lower part. Thus, a strong
correction will be required.
- b) In Fig.7b, the density of the lower part of the
electrode group is near average. Many pixels have a density
inferior to those of the lower part. The correction will be
less than for group a.
- c) In Fig.7c, the density of the lower part of the
electrode group is very far from average. Few pixels have
a density lower than those of the lower part. The correction
will be less than for group a and similar to that of group
b.
- d) In Fig.7d, the density of the lower part of the group
is near average. Few pixels have a density inferior to those
of the lower part. The correction will be the lightest of
all four groups.
-
-
Referring back to Fig.6, the first step of the
correction algorithm is to analyze the digital signal in order
to create a histogram of the pixel density values associated
with a given electrode group. The objective is to classify
the 64 random values in ascending order and associate with
each discrete value the number of times it appears in the group,
in other words, the number of electrodes that will be assigned
this particular pixel density value(Step S401). An example
of the histogram is shown in Table 1. In Table 1, the term
"frequency" refers to the number of times each pixel density
value appears in the group:
Pixel density value | Frequency |
000 | 0 |
001 | 2 |
002 | 0 |
003 | 1 |
004 to 252 | etc |
253 | 11 |
254 | 8 |
255 | 0 |
-
Once the histogram is built, the iteration process is
initiated(Step S402 to Step S407). The first step is to
locate in the table the maximum pixel density value associated
with an electrode. In this example, 255 is not a valid entry
since no electrode is assigned this value. The next value
(i.e. 254), however, is valid. The next step is to calculate
a correction factor for this entry. The following variables
are utilized in the calculation:
- a) total: in this case total = maximum pixel density
value (associated with a non-zero frequency) × frequency
(i.e. 254 × 8),
- b) accumulated pixels = summation of the frequency
value since the beginning of the iteration (in the first
iteration, accumulated pixels = 8),
- c) average = total / accumulated pixels (in the first
iteration, the average is the same as total which in the
example is 254).
-
-
The correction factor for the pixel density value 254
is obtained by means of the following equation: correction
factor = ((average-current pixel value) × total)/
, where
is a constant and the current pixel value for the first
iteration is 254. Accordingly the correction factor at the
first iteration is 0.
-
The constant
is used to calibrate the results of the
above equation by introducing therein a value that permits
to fine tune the pixel density value compensation. The
constant
is obtained experimentally. More specifically,
a constant
that has been used with success during tests
conducted by Applicant is obtained from an array of 256 values
that describe a logarithmic curve. The array is reproduced
as shown in Table 2 below. The value in brackets is an index
allowing to retrieve from the array the value of the constant
.
-
The specific value
used depends upon the operational
conditions of the printing apparatus. If these conditions
are changed, a different
value is used to fine-tune the
correction factor. It is also possible to apply modifiers
to the constant
in order to compensate for changes that may
occur during utilization of the printing apparatus. Two
types of modifiers can be implemented:
- 1 - additive modifier (offset)
Adds a constant value (offset) to each entry in the array of
values for the constant . The offset can vary (for example)
from - 9999 to + 50000. The neutral element is zero. The
effect of this offset on the constant increases with the
magnitude of the absolute value of the offset.
- 2 - multiplicative modifier (gain)
Multiplies each entry in the array of values for the constant
. The gain can vary (for example) from 0.2 to 5.0. The
neutral element is 1. The effect of this gain on the constant
increases as the magnitude of the gain value differs from
the neutral element.
-
-
The modifiers can be used in the following fashion to
alter the values in the array:
where
[x] is the modified value stored at index
x in the
array (
x having a value from 0 to 255), and original
[x]
is the original value at index
x in the array.
-
The following Tables 3 and 4 describe the effect of the
modifiers:
OFFSET | Effect on low densities | Effect on high densities |
Lower than 0: -999 < Offset < 0 | Correction greatly increased | Correction slightly increased |
Greater than 0: 0 < Offset < 5000 | Correction greatly decreased | Correction slightly decreased |
GAIN | Effect on low densities | Effect on high densities |
Lower than 1: 0.2 < Gain < 1.0 | Correction moderately increased | Correction greatly increased |
Greater than 1: 1.0 < Gain < 5.0 | Correction moderately decreased | Correction greatly decreased |
-
Once the appropriate value of the constant
is selected
from the array, the correction factor is calculated and
stored.
-
The process continues by initiating another iteration
for the next pixel density value in the table (i.e. 253). The
first step is to update the total variable(Step S403). The
updated variable total = total + (current pixel density value
× frequency). For this iteration, the current pixel density
value is 253 and the frequency 11. As a result, the value
of the updated total variable is 4815. In general terms, the
variable total can thus be mathematically expressed as the
following formula (1).
where:
- the range a to max is an index range in the table of
pixel density values, the index i in that range pointing to
pixel density values exceeding or equal to the pixel density
value associated with a given electrode;
- Pi is the pixel density value at the value taken by index
i; in the example shown above the i and Pi are the same values;
and
- N is the number of electrodes assigned the pixel density
value Pi taken by i at a given iteration from a to max.
-
-
In the next step of the process, the accumulated pixels
variable is updated (Step S404). The updated variable
accumulated pixels = accumulated pixels + frequency. Here,
the updated accumulated pixels equals 8 + 11 = 19. In general
terms, the accumulated pixels can thus be mathematically
expressed as the following formula (2).
-
The following step is to update the value of the
variable average(Step S405). For this iteration, the
updated value of average is 4815(updated total
value)/19(updated accumulated pixels value) = 253.42. This
is expressed by a general formula as the following formula
(3).
-
The final step is to calculate the correction
factor(Step S406). Using the above formula, the value of
correction factor = ((253.42 - 253) X 4815) /
is obtained
and stored. The formula for obtaining the correction factor
is expressed by a general formula as the following formula
(4).
-
The final step of the iteration is to determine if other
pixel density values remain in the histogram. In other words,
does the histogram contain other valid pixel density values
less than the current value(Step S407). In the affirmative,
a new loop is initiated, otherwise the calculated correction
factor is applied(Step S408) and then the procedure
terminated. If the procedure is indeed ended, the system then
simply adds the correction factors to the original pixel
density values. As a result, for example, the following Table
5 is obtained.
Electrode number | Original pixel density value | Correction factor | Final pixel density value |
1 | 117 | 9 | 126 |
2 | 254 | 0 | 254 |
3 | 253 | 0 | 253 |
4 | 212 | 2 | 214 |
5 to 61 | ...... | ..... | ..... |
62 | 198 | 3 | 201 |
63 | 198 | 3 | 201 |
64 | 220 | 1 | 221 |
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Most preferably, the pixel density correction system
is implemented by using the electronic device 100 illustrated
in Fig.8. The device 100 comprises an input buffer 102 which
receives the digital signal containing the pixel density
values. A processor 104 operates on the data placed in the
input buffer 102 in accordance with instructions stored in
a memory 106. The corrected pixel density values are then
transferred to an output buffer 108 that issues a modified
digital signal directed to the printing head.
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In a different embodiment, the printing head is
provided with a driver circuit featuring a current limiting
system for restricting the magnitude of electric current
passing through the electrodes of the array at predetermined
levels. This arrangement is capable of avoiding the
occurrence of overly dense pixels on the substrate, caused
by impedance variations in the electrocoagulation printing
ink, without the necessity of implementing a pixel density
value correction system of the type described above. The
printing head arrangement is schematically depicted in Fig.9.
For simplicity, only a single electrode group has been
depicted. The system resides in the inclusion of a current
source 200 associated with each electrode, that can be
integrated in the respective driver module. Each current
source feeds only a current of predetermined magnitude to the
respective electrode, with the result that the impedance of
the electrocoagulation printing ink no longer determines the
current magnitude. Thus, impedance variations in the
electrocoagulation printing ink are not likely to cause any
current magnitude changes. As a result, all the electrodes
coagulate ink locally at an expected level.
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The current source can be of any appropriate design.
Most preferably, the current source is selected to maintain
the current constant during the current injection event. For
example, use can be made of the adjustable voltage regulator
sold under part No. LM117HV by National Semiconductor
Corporation, having an output terminal and an adjustment
terminal with a resistor connected therebetween. In
operation, the LM117HV develops a nominal 1.2 V reference
voltage between the output and adjustment terminals and,
since the voltage is constant, a constant current flows
through the resistor. Thus, by selecting a 12 Qresistor,
a constant current of 100 mA is delivered to the electrodes.
This current will remain constant even if there are variations
in the electrical resistance of the film of
electrocoagulation printing ink. Another possibility is to
use a hybrid circuit that is designed to prevent the current
from exceeding a predetermined value. In this embodiment,
the impedance of the electrocoagulation printing ink
determines the current magnitude, as long as this magnitude
remains within a predetermined operational range. However,
should the impedance drop, the current reaches the upper
extremity of the range and it is forced to remain there to
avoid over-coagulation of the ink.
-
It is to be noted, here, that when the driver circuit
cause simultaneous passage of electric current through
selected electrodes of the array that are contiguous with one
another, the above current limiting system prevents that a
magnitude of current passing through either one of the
electrodes that contiguous exceeds a predetermined value.
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It should be understood that many modifications and
adaptations of the invention will become apparent to those
skilled in the art and it is intended to encompass such obvious
modifications and changes in the scope of the claims appended
hereto.