CN105516711B - Image chromaticity measurement method based on visual perception - Google Patents
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Abstract
The invention discloses an image chromaticity measurement method based on visual perception. The image chromaticity measurement method based on visual perception comprises: firstly, only reducing a component C of an original image in an LCH space according to a group of different variable quantities so as to obtain a group of test images with different chromaticity components; performing a visual perception experiment by utilizing a staircase method and combining a binomial forced-choice method so as to find out a JND (Just Noticeable Difference) critical image; calculating a difference between average chromatic values in the original image and in the JND critical image so as to obtain a JND value of a subject on chromaticity of the original image; then regenerating a test picture according to the obtained chromaticity JND value, unevenly distributing the variable quantities of the component C at an interval from 0 to twice of the JND value to obtain the test image, performing a visual perception experiment by a bisection method to find out a test pattern, and determining a subjective mid value of chromaticity at a current interval; repeatedly performing testing on different subjects, image contents and image chromaticity variation intervals; and finally, establishing an above-threshold mental scale of image chromaticity. An image chromaticity variation greater than one JND can be accurately and efficiently measured.
Description
Technical field
The present invention relates to a kind of image chroma assay method, the image chroma survey that more particularly to a kind of view-based access control model is perceived
Determine method, belong to image display technology field.
Background technology
Display Technique be not only capable of achieving accurately, directly perceived, clear, efficiently information output, while also providing for the information age
A kind of interface of friendly people and machine exchange of information.With the arrival of information age, requirement of the people to display quality with
Day all increasings.New technology, new application scenario may all change evaluation of the observer to image quality.For this purpose,
Engeldrum introduces " picture quality ring " model, by the image displaying quality and display systems technology parameter of consumer's concern
Connected by some intermediate steps.Consumer is each attribute of picture quality observed to the subjective feeling of picture quality
Weighted sum.These image quality attributes include that the observed persons such as definition, colorfulness, brightness, image uniformity are unconscious
The characteristic of evaluation.Then set up contacting for subjective picture quality attribute and image physical characteristic.These image physical characteristics include
The optically and electrically characteristic that can be measured by measuring instrument, such as output brightness, colour gamut size, the white field of display, gamma value, noise water
Equality.Finally, by understanding display physical principle in depth, these image physical characteristics can be between the technical parameter of display system
Set up contact.
In prior art, (Application No. 201210052401.2, grant date is 2014-03- to a Chinese invention patent
26) a kind of image chroma JND value determination method is disclosed, first the original image after linear transformation LCH spaces is transformed into into;So
Afterwards in LCH spaces, keep other components constant, only reduce component C according to a different set of knots modification, obtain one group and have
The test image of different chromatic components;Visually-perceptible experiment is carried out with reference to binomial forced choice method using staircase method, an at least width is found out
Test image is used as JND critical graph pictures;Finally calculate the difference of average color angle value in original image and JND critical graph pictures, the difference
The mean value of value is the tested JND values to the original image colourity.However, the method and unresolved how to measure more than 1
The image chroma variation issue of individual JND.
The content of the invention
Present invention is primarily targeted at, overcome deficiency of the prior art, there is provided the image that a kind of view-based access control model is perceived
Determination of colority method, technical problem to be solved is how to measure the image chroma change more than 1 JND, can quantitatively be commented
Price-reform enter parameters of display, in particular for colourity parameter designing when the impact to image chroma to be discovered of human eye, from
And the design to Display Technique, research provide foundation.
In order to achieve the above object, the technical solution adopted in the present invention is:
The image chroma assay method that a kind of view-based access control model is perceived, comprises the following steps:
Step A, the JND values for determining image chroma in accordance with the following methods;
Step A1, original image processed in accordance with the following methods, obtain test image;
Step A101, original image is changed to linear space by gamma correction;
Step A102 and then the original image after linear transformation is transformed into by rgb space Jing XYZ spaces and Lab space
LCH spaces;
Step A103, in LCH spaces, keep other components constant, only component C is subtracted according to a different set of knots modification
It is little;The knots modification of component C is spacedly distributed in the range of 0.2-1.5;
Step A104, by C components reduce after image rgb space is converted back by Lab space, obtain one group have it is not homochromy
The test image of degree component;
Step A2, visually-perceptible experiment is carried out with reference to binomial forced choice method using staircase method, find out at least width test chart work
For JND critical graph pictures;
Step A3, the difference for calculating average color angle value in original image and JND critical graph pictures, the mean value of the difference is
The tested JND values to the original image colourity;
The different original image of step A4, replacing and tested, repeat step A1- step A3;Will be all tested to different former
The colourity JND value of beginning image carries out mean value computation and variance analysis determines the JND values of image chroma;
In step B, in accordance with the following methods subjectivity of the measure image chroma in 0 to 2 times of colourity JND value interval range
Value;
Step B1, according to the method for step A1, wherein to the knots modification of component C between 0 to 2 times of colourity JND value
Uneven distribution;
Step B2, visually-perceptible experiment is carried out using dichotomy, it is tested to find out a width test chart, it is tested to think the diagram
Colourity change between artwork and the centre position of variable quantity full test figure, become with the corresponding amount of chroma change of the figure and JND
The multiple of change amount is used as subjective intermediate value;
The different picture materials of step B3, replacing and tested, repeat step B1- step B2, will be all tested to different former
The subjective intermediate value of beginning image carries out mean value computation and variance analysis, determines the subjective intermediate value of current interval colourity;
Step C, according to the method for step B, wherein uneven between 0 to 3 times of colourity JND value the knots modification of component C
Even distribution, repeat step B determines the subjective intermediate value of current interval colourity;
Step D, according to the method for step B, wherein uneven between 1 to 4 times of colourity JND value the knots modification of component C
Even distribution, repeat step B determines the subjective intermediate value of current interval colourity;
Step E, above threshold mental scale is set up according to the subjective experiment result that step A, step B, step C and step D are obtained.
The present invention is further arranged to:In step A103 to the knots modification of component C in the range of 0.2-1.5 at equal intervals
Distribution, wherein the value being spaced is 0.1.
The present invention is further arranged to:Visually-perceptible reality is carried out in step A2 with reference to binomial forced choice method using staircase method
Test specifically, showing two width images simultaneously over the display every time, a width is original image, and another width is test chart, by tested
It is selected in both figures thinks which width graph coloring is color more bright-coloured;If tested select correct, the less survey of colourity difference is changed
Attempt;Once tested selection mistake, then change the larger test chart of colourity difference;Repeat said process;Wherein, test starting to become
It is 8 to change step-length, and step-length halves as 4 after 2 flex points, then through 4 flex points, step-length is changed into 2, then after 6 flex points, is become
Change step-length and be kept to 1;Flex point sum when step-length is 1 stops when reaching 6;Test chart corresponding to last 6 flex points is JND
Critical graph picture.
The present invention is further arranged to:In step B1 the knots modification of component C between 0 to 2 times of colourity JND value
Uneven distribution, wherein uneven value is divided into 7 different brackets, it is assumed that the JND values of image chroma are R, then uneven
Value be respectively 0.0,0.5R, 0.8R, 1.0R, 1.2R, 1.5R, 2.0R.
The present invention is further arranged to:In the step B2 visually-perceptible experiment is carried out using dichotomy specifically, screen
Upper to show four width images simultaneously, four width images are shown with the layout that two row two is arranged, wherein two width images of top are respectively joined
Examine the maximum test chart of figure and change, it is tested need to carry out the two width test charts that screen lower section shows with the width figure of top two it is right
Than;If the image of screen lower-left is closer to the centre position of the width figure of top two, by left button, one group of change is changed less
Test chart, otherwise by right button;Repeat this process;Alternately switch between left button and right button until tested, now ask and tested select one
Width figure, it is believed that it records the value of current location closest to the centre position with reference to the figure test chart maximum with change, as
The subjective intermediate value of the interval range.
The present invention is further arranged to:In step C the knots modification of component C between 0 to 3 times of colourity JND value
Uneven distribution, wherein uneven value is divided into 9 different brackets, it is assumed that the JND values of image chroma are R, then uneven
Value be respectively 0.0,0.5R, 1.0R, 1.3R, 1.5R, 1.7R, 2.0R, 2.5R, 3.0R.
The present invention is further arranged to:In step D the knots modification of component C between 1 to 4 times of colourity JND value
Uneven distribution, wherein uneven value is divided into 9 different brackets, it is assumed that the JND values of image chroma are R, then uneven
Value be respectively 1.0R, 1.5R, 2.0R, 2.3R, 2.5R, 2.7R, 3.0R, 3.5R, 4.0R.
The present invention is further arranged to:The tested number is 20.
The present invention is further arranged to:Above threshold mental scale is set up in step E specifically, counting the equal of subjective intermediate value
Value and 95% confidential interval, it is assumed that the JND values of image chroma be R, determine colourity change in the range of 1 JND subjective feeling and
Exist linearly between physical change amount, and then based on subjective intermediate value, the corresponding changes of 1~4JND of image chroma are obtained respectively
Amount is the multiple of 1 JND variable quantity, so as to set up image chroma change subjective feeling and physical change in taken interval range
The linear relationship existed between amount.
Compared with prior art, the invention has the advantages that:
Accurately and efficiently image chroma change of the tolerance more than 1 JND, people when can improve parameters of display with quantitative assessment
Eye the image chroma to be discovered variable quantity, so as to improve display terminal in image chroma technical parameter regulating power.
The above is only the general introduction of technical solution of the present invention, in order to be better understood upon the technological means of the present invention, under
Face combines accompanying drawing, and the invention will be further described.
Description of the drawings
Fig. 1 is the process schematic that the present invention generates test image;
Fig. 2 is the relation of the image chroma desirable median that subjective experiment of the present invention is measured and subjective intermediate value;
Fig. 3 is that the image chroma that the present invention sets up surveys curve map.
Specific embodiment
With reference to Figure of description, the present invention is further illustrated.
The present invention provides the image chroma assay method that a kind of view-based access control model is perceived, and comprises the following steps:
Step A, the JND values for determining image chroma in accordance with the following methods;
Step A1, original image processed in accordance with the following methods, obtain test image:
Step A101, original image is changed to linear space by gamma correction;
Step A102 and then the original image after linear transformation is transformed into by rgb space Jing XYZ spaces and Lab space
LCH spaces;
Step A103, in LCH spaces, keep other components constant, only component C is subtracted according to a different set of knots modification
It is little;It is Δ E to the knots modification of component C00Value is spacedly distributed in the range of 0.2-1.5, wherein being at intervals of Δ C, its value
0.1;
Due in CIELAB chrominance spaces, Δ E00Visually evenly, color saturation changes therefore in the present invention
Tolerance employs Δ E00Representation, as shown in formula (1);
Wherein, Δ L ' is the difference of two pixel L ', and Δ C ' is the difference of two pixel C ', and Δ H ' is the difference of two pixel H ',
KL=1, KC=1, KH=1;
When impact of the image chroma to picture quality is considered, other factors are put aside, therefore Δ L ', Δ H ' can be made
It is zero, so as to formula (1) is reduced to into formula (2);
ΔE00=Δ C '/(KcSc) (2)
Wherein, KC=1default,For the arithmetic mean of instantaneous value of two pixel C ';
Therefore, the knots modification of component C can be obtained by formula (3),
As Δ E00In the range of 0.2-1.5 at equal intervals value when, you can one group is obtained in LCH spaces there are different colourities
The test image of component;
Step A104, by C components reduce after image rgb space is converted back by Lab space, obtain one group have it is not homochromy
The test image of degree component;The generating process of test image as shown in figure 1, by original image by rgb space Jing XYZ spaces and
Lab space is transformed into LCH spaces, the related image procossing of colourity is then carried out again, it is ensured that colourity in image processing process
Component keeps constant.
Step A2, visually-perceptible experiment is carried out with reference to binomial forced choice method using staircase method, find out at least width test chart work
For JND critical graph pictures;
Using staircase method visually-perceptible experiment is carried out with reference to binomial forced choice method specifically, show over the display every time simultaneously
Two width images a, width is original image, and another width is test chart, by it is tested select in both figures its think any width graph coloring it is color compared with
It is bright-coloured;If tested select correct, the less test chart of colourity difference is changed;Once tested selection mistake, then change colourity
The larger test chart of difference;Repeat said process;Wherein, it is 8 to test initial change step, and step-length halves after 2 flex points
For 4, then through 4 flex points, step-length is changed into 2, then after 6 flex points, change step is kept to 1;Flex point when step-length is 1 is total
Number stops when reaching 6;Test chart corresponding to last 6 flex points is JND critical graph pictures.
Step A3, the difference for calculating average color angle value in original image and JND critical graph pictures, the mean value of the difference is
The tested JND values to the original image colourity.
The different original image of step A4, replacing and tested, repeat step A1- step A3;Will be all tested to different former
The colourity JND value of beginning image carries out mean value computation and variance analysis determines the JND values of image chroma.
In step B, in accordance with the following methods subjectivity of the measure image chroma in 0 to 2 times of colourity JND value interval range
Value;
Step B1, according to the method for step A1, wherein to the knots modification of component C between 0 to 2 times of colourity JND value
Uneven distribution;Wherein uneven value is divided into 7 different brackets, it is assumed that the JND values of image chroma are R, then uneven
Value be respectively 0.0,0.5R, 0.8R, 1.0R, 1.2R, 1.5R, 2.0R.
Step B2, visually-perceptible experiment is carried out using dichotomy, it is tested to find out a width test chart, it is tested to think the diagram
Colourity change between artwork and the centre position of variable quantity full test figure, become with the corresponding amount of chroma change of the figure and JND
The multiple of change amount is used as subjective intermediate value;
Visually-perceptible experiment is carried out using dichotomy specifically, showing four width images on screen simultaneously, four width images are with two
The layout of the row of row two is shown, wherein two width images of top are respectively with reference to the maximum test chart of figure and change, tested needs
The two width test charts that screen lower section shows are contrasted with the width figure of top two;If the image of screen lower-left is closer to top
The centre position of two width figures, then by left button, the less test chart of one group of change of replacing, otherwise by right button;Repeat this process;Until
It is tested alternately to switch between left button and right button, now ask and tested select a width figure, it is believed that it is closest to reference to figure and changing most
The centre position of big test chart, records the value of current location, used as the subjective intermediate value of the interval range.
The different picture materials of step B3, replacing and tested, repeat step B1- step B2, will be all tested to different former
The subjective intermediate value of beginning image carries out mean value computation and variance analysis, determines the subjective intermediate value of current interval colourity.
Step C, according to the method for step B, wherein uneven between 0 to 3 times of colourity JND value the knots modification of component C
Even distribution, repeat step B determines the subjective intermediate value of current interval colourity;Wherein uneven value be divided into 9 it is not equal
Level, it is assumed that the JND values of image chroma be R, then uneven value be respectively 0.0,0.5R, 1.0R, 1.3R, 1.5R, 1.7R,
2.0R、2.5R、3.0R;Closer to desirable median position, step-length is less.
Step D, according to the method for step B, wherein uneven between 1 to 4 times of colourity JND value the knots modification of component C
Even distribution, repeat step B determines the subjective intermediate value of current interval colourity;Wherein uneven value be divided into 9 it is not equal
Level, it is assumed that the JND values of image chroma be R, then uneven value be respectively 1.0R, 1.5R, 2.0R, 2.3R, 2.5R, 2.7R,
3.0R、3.5R、4.0R;Equally, closer to desirable median position, step-length is less.
Step E, above threshold mental scale is set up according to the subjective experiment result that step A, step B, step C and step D are obtained;
The average and 95% confidential interval of the subjective intermediate value of statistics, it is assumed that the corresponding values of 1 JND of image chroma are R;According to 1
The relation of the corresponding numerical value of individual JND and 0-2R, 0-3R and 1-4R interval ranges, it is assumed that in the middle of three different interval subjectivities
Value is respectively M1, M15 and M25.According to above-mentioned condition, it is assumed that colourity changes subjective feeling and physical change in the range of 1 JND
There is linear relationship between amount, derive the corresponding multiple proportions of 1.5~4JND.
YX=1JND=1*R
It is R that √ determines the value of 1 unit JND
YX=2JND=(2/M1) * YX=1JND
√ is according to 0~2R intervals result of the test, it is assumed that be linear between M1~2R
YX=1.5JND=0.5* (YX=1JND+YX=2JND)
√ assumes that between 1JND~2JND be linear
YX=3JND=(3/M15) * YX=1.5JND
√ is according to 0~3R intervals result of the test, it is assumed that be linear between M15~3R
YX=2.5JND=0.5* (YX=2JND+YX=3JND)
√ assumes that between 2JND~3JND be linear
YX=4JND=(4/M25) * YX=2.5JND
√ is according to 1~4R intervals result of the test, it is assumed that be linear between M25~4R
According to above-mentioned derivation, it is 1 JND that can respectively try to achieve the corresponding variable quantities of image 1~4JND of different attribute
The multiple of variable quantity, so as to set up the above threshold mental scale of JND, that is, sets up image chroma change subjective in taken interval range
The linear relationship existed between impression and physical change amount.
In order to verify the inventive method, following experiment is carried out:
Using 19 inches of LCD monitors of Philips, the white field of display is adjusted to D65, display screen peak brightness
For 264cd/m2, details in a play not acted out on stage, but told through dialogues brightness is 0.33cd/m2.During observed range be 4 times of screen height, about 1.2m.Test room
Ambient light is set to shield front vertical direction 20lx, and display screen rear illumination is about 10-20lx, the actual rings of close domestic TV
Border light is arranged.Impact is there may be on the JND of image chroma in view of picture material, original image used is chosen with certain
Representativeness, both including the image that Colour is different, also including contents such as the colour of skin, plant, animals.Participate in experiment by trial number
For 20, the age between 20~70 years old, wherein each 10 people of masculinity and femininity.
The subjective intermediate value in difference interval that experiment is measured is as shown in Figure 2.As a result show, be 0-2 in colourity constant interval
When colourity JND value again and 0-3 times of colourity JND value, subjective intermediate value is close to preferable point midway, it is meant that colourity changes
Amount linearity in the range of 3 times of JND values is preferable, but hereafter knots modification continues to increase, and the sensitivity of human eye has declined.Foundation
The measure curve of the image chroma that subjective experiment result is set up is as shown in Figure 3.
The image chroma assay method that this experimental verification is perceived using the view-based access control model that the present invention is provided, is easy to assessment aobvious
The terminal that human eye can be discovered when showing that device colourity relevant parameter changes shows the variable quantity of colourity.
General principle, principal character and the advantage of the present invention has been shown and described above.The technical staff of the industry should
Understand, the present invention is not restricted to the described embodiments, the original for simply illustrating the present invention described in above-described embodiment and specification
Reason, without departing from the spirit and scope of the present invention, the present invention also has various changes and modifications, these changes and improvements
Both fall within scope of the claimed invention.The claimed scope of the invention is by appending claims and its equivalent circle.
It is fixed.
Claims (9)
1. the image chroma assay method that a kind of view-based access control model is perceived, it is characterised in that comprise the following steps:
Step A, the JND values for determining image chroma in accordance with the following methods;
Step A1, original image processed in accordance with the following methods, obtain test image;
Step A101, original image is changed to linear space by gamma correction;
Step A102 and then that the original image after linear transformation is transformed into into LCH by rgb space Jing XYZ spaces and Lab space is empty
Between;
Step A103, in LCH spaces, keep other components constant, only component C is reduced according to a different set of knots modification;
The knots modification of component C is spacedly distributed in the range of 0.2-1.5;
Step A104, C components are reduced after image rgb space is converted back by Lab space, obtain one group and there are different colourities point
The test image of amount;
Step A2, visually-perceptible experiment is carried out with reference to binomial forced choice method using staircase method, by tested an at least width test chart is found out
As JND critical graph pictures;
Step A3, the difference for calculating average color angle value in original image and JND critical graph pictures, the mean value of the difference is the quilt
JND value of the examination to the original image colourity;
The different original image of step A4, replacing and tested, repeat step A1- step A3;Will be all tested to different original graphs
The colourity JND value of picture carries out mean value computation and variance analysis determines the JND values of image chroma;
Step B, in accordance with the following methods subjective intermediate value of the measure image chroma in 0 to 2 times of colourity JND value interval range;
Step B1, according to the method for step A1, wherein uneven between 0 to 2 times of colourity JND value to the knots modification of component C
Even distribution;
Step B2, visually-perceptible experiment is carried out using dichotomy, it is tested to find out a width test chart, the tested color for thinking the diagram
Degree changes between artwork and the centre position of variable quantity full test figure, with the corresponding amount of chroma change of the figure and JND variable quantities
Multiple as subjective intermediate value;
The different picture materials of step B3, replacing and tested, repeat step B1- step B2, will be all tested to different original graphs
The subjective intermediate value of picture carries out mean value computation and variance analysis, determines the subjective intermediate value of current interval colourity;
Step C, according to the method for step B, wherein the knots modification of component C uneven point between 0 to 3 times of colourity JND value
Cloth, repeat step B determines the subjective intermediate value of current interval colourity;
Step D, according to the method for step B, wherein the knots modification of component C uneven point between 1 to 4 times of colourity JND value
Cloth, repeat step B determines the subjective intermediate value of current interval colourity;
Step E, above threshold mental scale is set up according to the subjective experiment result that step A, step B, step C and step D are obtained.
2. the image chroma assay method that a kind of view-based access control model according to claim 1 is perceived, it is characterised in that:The step
The knots modification of component C is spacedly distributed in the range of 0.2-1.5 in rapid A103, wherein the value being spaced is 0.1.
3. the image chroma assay method that a kind of view-based access control model according to claim 1 is perceived, it is characterised in that:The step
Using staircase method with reference to binomial forced choice method carry out visually-perceptible experiment in rapid A2 specifically,
Show two width images simultaneously over the display every time, a width is original image, and another width is test chart, by tested in two width
It is selected in figure and thinks which width graph coloring is color more bright-coloured;If tested select correct, the less test chart of colourity difference is changed;Quilt
Examination then changes the larger test chart of colourity difference once selecting mistake;Repeat said process;Wherein, initial change step is tested
It is 8, step-length halves as 4 after 2 flex points, then through 4 flex points, step-length is changed into 2, then after 6 flex points, change step
It is kept to 1;Flex point sum when step-length is 1 stops when reaching 6;Test chart corresponding to last 6 flex points is JND critical graphs
Picture.
4. the image chroma assay method that a kind of view-based access control model according to claim 1 is perceived, it is characterised in that:The step
In rapid B1 the knots modification of component C between 0 to 2 times of colourity JND value uneven distribution, wherein uneven value is divided into
7 different brackets, it is assumed that the JND values of image chroma be R, then uneven value be respectively 0.0,0.5R, 0.8R, 1.0R,
1.2R、1.5R、2.0R。
5. the image chroma assay method that a kind of view-based access control model according to claim 1 is perceived, it is characterised in that:The step
Using dichotomy carry out visually-perceptible experiment in rapid B2 specifically,
Four width images are shown on screen simultaneously, four width images are shown with the layout that two row two is arranged, wherein two width images of top
It is tested to need the two width test charts and the width figure of top two of the display of screen lower section respectively with reference to the test chart that figure and change are maximum
Contrasted;If the image of screen lower-left is closer to the centre position of the width figure of top two, by left button, one group of change is changed
Less test chart, otherwise by right button;Repeat this process;Alternately switch between left button and right button until tested, now please be tested
Select a width figure, it is believed that it records current location closest to the centre position with reference to the figure test chart maximum with change
Value, as the subjective intermediate value of the interval range.
6. the image chroma assay method that a kind of view-based access control model according to claim 1 is perceived, it is characterised in that:The step
In rapid C the knots modification of component C between 0 to 3 times of colourity JND value uneven distribution, wherein uneven value is divided into 9
Individual different brackets, it is assumed that the JND values of image chroma be R, then uneven value be respectively 0.0,0.5R, 1.0R, 1.3R,
1.5R、1.7R、2.0R、2.5R、3.0R。
7. the image chroma assay method that a kind of view-based access control model according to claim 1 is perceived, it is characterised in that:The step
In rapid D the knots modification of component C between 1 to 4 times of colourity JND value uneven distribution, wherein uneven value is divided into 9
Individual different brackets, it is assumed that the JND values of image chroma be R, then uneven value be respectively 1.0R, 1.5R, 2.0R, 2.3R,
2.5R、2.7R、3.0R、3.5R、4.0R。
8. the image chroma assay method that a kind of view-based access control model according to claim 1 is perceived, it is characterised in that:The quilt
The number of examination is 20.
9. the image chroma assay method that a kind of view-based access control model according to claim 1 is perceived, it is characterised in that:The step
Above threshold mental scale is set up in rapid E specifically, the average and 95% confidential interval of the subjective intermediate value of statistics, it is assumed that image chroma
JND values are R, determine that colourity change exists in the range of 1 JND between subjective feeling and physical change amount linear, and then with master
Based on seeing intermediate value, the multiple that the corresponding variable quantities of 1~4JND of image chroma are 1 JND variable quantities is obtained respectively, so as to set up
Image chroma changes the linear relationship existed between subjective feeling and physical change amount in taken interval range.
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