CN104077987A - Fast displayer three-dimensional color gamut volume algorithm based on Alpha Shapes - Google Patents
Fast displayer three-dimensional color gamut volume algorithm based on Alpha Shapes Download PDFInfo
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Abstract
The invention relates to digital television and displayer measurement technologies, in particular to a fast displayer three-dimensional color gamut volume algorithm based on Alpha Shapes. The fast displayer three-dimensional color gamut volume algorithm based on Alpha Shapes can efficiently and accurately calculate the volume of an irregular displayer three-dimensional color gamut. When the volume of the displayer color gamut is calculated according to the method, the requirement for real-time performance can be met, and accordingly application of three-dimensional color gamut detection and wide color gamut display equipment identification in engineering practice is promoted. According to the technical scheme, the fast displayer three-dimensional color gamut volume algorithm based on Alpha Shapes includes the first step of using a standard color gamut test sample for obtaining a color gamut surface scatter data set S of a displayer to be tested through testing, the second step of carrying out triangulation on the scatter data set S, the third step of removing tetrahedrons according to an Alpha Shapes algorithm principle, the fourth step of enabling the boundary surface of a three-dimensional color gamut obtained in the third step to be visual, and the fifth step of calculating volumes of the tetrahedrons meeting conditions. The fast displayer three-dimensional color gamut volume algorithm based on Alpha Shapes is mainly applied to digital television and displayer measurement.
Description
Technical field
The present invention relates to Digital Television, display measuring technique, wide colour gamut display technique, specifically, relates to the display three-dimensional gamut volume fast algorithm based on Alpha shapes.
Technical background
At present conventionally by two-dimensional space colour gamut, represent the Color Range that display can representation, and color is actually a three-dimensional amount, variously can be used to represent that the color space (as XYZ, RGB, Luv, Lab) of color is all three-dimensional color space.At two-dimensional space, calculate the impact that colour gamut and color domain coverage ratio have been ignored gray scale color domain scope, acquired results can not fully reflect color representation characteristic.Therefore, need in comprising the three dimensions of monochrome information, calculate colour gamut and color domain coverage ratio.The algorithm of more existing calculating three-dimensional gamut volumes is suggested at present.Bangyong Sun etc. [1] have proposed the liquid crystal display colour gamut of the CIELAB color space and have described algorithm.This algorithm utilizes Delaunay (De Luonie) Triangulation Technique that gamut boundary face is divided into little triangle in the CIELAB color space.The triangle of getting central point and itself and surface being divided is connected to form tetrahedron, asks all tetrahedron sums to obtain three-dimensional gamut volume.Andreas Willert etc. [2] are divided into a series of thin slices by brightness by gamut volume at CMY and the CMYK color space respectively, and on each thin slice, grid division calculates its colour gamut size.Condition Sheng Kun etc. [3] adopt the tetrahedral grid subdivision algorithm of cutting apart based on area of space to realize the 3 D stereo reproduction of digital output device colour gamut and asking for of gamut volume.This algorithm is converted into spherical co-ordinate by chromaticity coordinate data, respectively hue angle and the elevation angle is divided into N part, thereby whole color space is divided into N * N sub regions, calculates.Lee superfine [4] in three-dimensional expansion, is calculating that a plurality of tetrahedral grids carry out gamut volume by irregular color space stereo decomposing according to Delaunay theory.All tetrahedron volumes that this algorithm obtains decomposition are added, and do not consider that the concavo-convex degree of colour gamut three-dimensional surface may be inconsistent with the tetrahedral grid surface being divided into.Existing these ask three-D volumes fast algorithm spininess to convex closure, and colour gamut surface is processed as smooth convex surface.In fact, from the display three-dimensional gamut solid reconstructing according to measured data, can find out, in the device independent color space, display three-dimensional gamut is the irregular solid that convex closure mixes mutually with pit, with existing algorithm, calculate how can produce error, result is inaccurate.
The circle that the basic thought of Alpha's form (Alpha shapes) algorithm is is α by a radius rolls around given discrete point set S, and the profile of S is a polygon, by S and radius α, is determined.When α value is suitable, this circle just can not be rolled into the inside of S, and the point crossing with circle is exactly the edge contour point of S, and the vestige of its rolling is exactly the boundary line of S [5].Edelsbruuner etc. [6] have provided Alpha Shapes model judgment criterion in nineteen eighty-three, according to this criterion, can define boundaries.Rule of judgment is as follows: in point set S, appoint and get two some P
1and P
2, the circle that to cross this two point-renderings radius be α, if there is no other point in circle, can think P
1p
2it is boundary line.Edelsbruuner etc. [7] have provided the principle of three-dimensional Alpha shapes from geometric angle in 1994, for its application at engineering field is laid a good foundation.Tomasz J.Cholewo etc. [8] proposed a kind of gamut boundary extraction algorithm towards color printing apparatus and coloured image based on Alpha shapes algorithm in 1999.
List of references
[1]Sun?B,Liu?H,Li?W,et?al.A?Color?Gamut?Description?Algorithm?for?Liquid?Crystal?Displays?in?CIELAB?Space[J].The?Scientific?World?Journal,2014,2014.
[2]Willert?A,Flaspohler?M,Hubler?A?C.Calculating?a?Color?Gamut?Border?Using?a?Grid?Approach[C]//Conference?on?Colour?in?Graphics,Imaging,and?Vision.Society?for?Imaging?Science?and?Technology,2004,2004(1):156-160.
[3] condition Sheng is female, WANG Xiaohong, Lv Zhaofeng. and the tetrahedral grid subdivision colour gamut of cutting apart based on area of space is described algorithm [J]. Packaging Engineering engineering version, 2014,35 (5): 126-130
[4] Li Chao, Wang Caiyin. the colour gamut based on space tetrahedral grid is calculated and comparative studies [J]. Chinese printing and packing research, 2010,02 (z1): 102-106.
[5]Wu?Z,Qi?L,Luo?P,et?al.Edge-preserving?multi-scale?image?decomposition?based?on?alpha-shape[C]//Conference?Anthology,IEEE.IEEE,2013:1-5.
[6]Edelsbrunner?H,Kirkpatrick?D,Seidel?R.On?the?shape?of?a?set?of?points?in?the?plane[J].Information?Theory,IEEE?Transactions?on,1983,29(4):551-559.
[7]H.Edelsbrunner?and?E.P.Mucke.Three-dimensional?alpha?shapes.ACM?Trans.Graphics,13:43–72,1994.
[8]T.J.Cholewo?and?S.Love.Gamut?boundary?determination?using?alpha-shapes.Proceedings?of?the7th?Color?Imaging?Conference,(Scottsdale,Ariz.),pp.200-204,November1999.
Summary of the invention
For overcoming the deficiencies in the prior art, develop and a kind ofly can efficiently, accurately calculate the method for irregular three-D display color gamut volume.Use the method calculation display gamut volume should be able to reach requirement of real-time, thereby promote three-dimensional gamut detection, the application of wide colour gamut display device authentication in engineering reality.For this reason, the technical scheme that the present invention takes is that the display three-dimensional gamut volume fast algorithm based on Alpha's form, comprises the following steps:
Step 1: the test of operating specification colour gamut test sample book obtains the colour gamut surface loose some data set S of display to be measured, and the loose point in S is and is distributed in the lip-deep point of three-dimensional gamut, and S set has been determined the three-dimensional gamut border of this display;
Step 2: point set S is carried out to triangulation, set up the three-dimensional Delaunay triangulation network, obtain the matrix of capable 4 row of n, n is the tetrahedral number of cutting apart, the index value of the tetrahedron top that every behavior of matrix is divided into;
Step 3: utilize Alpha Shapes algorithm principle to screen out tetrahedron.Each simplex tetrahedron is calculated to its circumradius R; For given Alpha shapes radius parameter α, only retain the tetrahedron of R< α; Through after screening out, interface, last little tetrahedral outside is the boundary surface of three-dimensional gamut volume.
Step 4: the boundary surface of visualization step three gained three-dimensional gamut, visually screen out rear last little tetrahedral outer boundary, by changing the size of α, control the fine degree of the boundary surface obtaining;
Step 5: qualified tetrahedron is calculated respectively to its volume, more all volumes are added to the volume that obtains three-dimensional gamut.
By changing the size of α, control the fine degree of the boundary surface obtaining specifically, observe the situation of boundary surface and adjust α: if boundary surface has cavity discontinuous, represent that current α value is too small, increase α value, repeating step three; If boundary surface is continuous, locus is arranged under the loose point of S, represents that current α value is still too small, increases α value, repeating step three; If boundary surface is continuous, locus is arranged on the loose point of S, represents that current α value is excessive, reduces α value, repeating step three; Adjust α value until boundary surface overlaps continuously and with loose point in S, show now to get α value size just in time, the concavo-convex degree of the boundary surface of its reconstruct is consistent with the concavo-convex degree on actual colour gamut surface.
Compared with the prior art, technical characterstic of the present invention and effect:
Adopt technical scheme of the present invention to calculate exactly to have the volume of three-dimensional gamut convex closure and pit feature, in the device independent color space simultaneously, and there is good real-time.The three-dimensional gamut processing platform of integrated the method display chroma test result directly can be visualized as to three-dimensional colour colour gamut stereographic map and scene provides gamut volume, is applicable to display manufacturer and test certification authority and applies when evaluating display look representation performance.
Accompanying drawing explanation
Fig. 1 Luv space gamut stereographic map;
When Fig. 2 Alpha shapes algorithm α value is got different value, three-dimensional gamut volume calculates schematic diagram.
Embodiment
Wide colour gamut is often referred to the colour gamut that is greater than sRGB/Rec.709 standard.Adobe RGB, DCI-P3 and ITU-R BT.2020 are the wide colour gamut display standards of extensively admitting in the world at present.Some international well-known display manufacturers are as HP (Hewlett-Packard), Mitsubishi (Mitsubishi), and the wide colour gamut that Sony (Sony) and Dolby (Doby) have released oneself shows product.Except display manufacturing enterprise, display device test certification authority also needs test, evaluates display color gamut size.The two-dimensional color that tradition shows on CIExy chromatic diagram does not embody monochrome information, therefore cannot embody the global feature of colour gamut comprehensively.Three-dimensional gamut can reflect colour gamut feature accurately, all sidedly, but because the three-dimensional gamut being based upon in the device independent color space (as Luv) has irregular shape conventionally, part is that convex closure is partly pit, and while calculating gamut volume, higher computation complexity cannot be applied it in the engineering reality higher to requirement of real-time.
Three-dimensional gamut in the irrelevant color space of known device is the irregular solid that convex closure and pit mix, and need to develop the algorithm of two kinds of situations of a kind of energy self-adaptation convex-concave.In Alpha shapes theory of algorithm, can meet above-mentioned requirements.Traditional Alpha shapes algorithm is extended to three-dimensional, can be used to the volume of three-dimensional irregularly shaped colour gamut in the irrelevant color space of computing equipment.
As follows with the three-dimensional Alpha shapes algorithm reconstruct three-dimensional gamut border of expansion the step of volume calculated:
Step 1: the test of operating specification colour gamut test sample book obtains the colour gamut surface loose some data set S of display to be measured, and the loose point in S is and is distributed in the lip-deep point of three-dimensional gamut, and S set has been determined the three-dimensional gamut border of this display;
Step 2: point set S is carried out to triangulation, set up the three-dimensional Delaunay triangulation network, obtain the matrix of capable 4 row of n, n is the tetrahedral number of cutting apart, the index value of the tetrahedron top that every behavior of matrix is divided into;
Step 3: utilize Alpha Shapes algorithm principle to screen out tetrahedron.Each simplex tetrahedron is calculated to its circumradius R; For given Alpha shapes radius parameter α, only retain the tetrahedron of R< α; Through after screening out, interface, last little tetrahedral outside is the boundary surface of three-dimensional gamut volume;
Step 4: the boundary surface of visualization step three gained three-dimensional gamut (screening out rear last little tetrahedral outer boundary), observe the situation of boundary surface and adjust α: if boundary surface has cavity discontinuous, represent that current α value is too small, increase α value, repeating step three; If boundary surface is continuous, locus is arranged under the loose point of S, represents that current α value is still too small, increases α value, repeating step three; If boundary surface is continuous, locus is arranged on the loose point of S, represents that current α value is excessive, reduces α value, repeating step three; Adjust α value until boundary surface overlaps continuously and with loose point in S, show now to get α value size just in time, the concavo-convex degree of the boundary surface of its reconstruct is consistent with the concavo-convex degree on actual colour gamut surface;
Step 5: qualified tetrahedron is calculated respectively to its volume, more all volumes are added to the volume that obtains three-dimensional gamut.
Qualified tetrahedron is calculated respectively to its volume, and first the volume here refers to that its summit is the adjacent point in space in data set S through triangulation, little tetrahedral volume remaining, that form colour gamut surface after screening out then.
For verification algorithm effect, model a display three-dimensional gamut test sample book collection S.This sample set represents that in Luv space 180 points on 18 limits of colour gamut line boundary form (each 10 points on every limit).According to measured data, the three-dimensional gamut solid set up in Matlab as shown in Figure 1.As can be seen from the figure this solid is pit at purple-red-Huang-white region, and all the other positions are convex closures.
The Alpha shapes algorithm of applying expansion as above calculates the volume of three-dimensional gamut in the Luv color space.Following experimental data records on the 400-021cx of Hewlett-Packard desktop computer (CPU:G20202.9GHz, 4G internal memory), and algorithm development, operation platform are Matlab2012a.When radius parameter α gets different value experimental results more as shown in Figure 2.As can be seen from Figure 2 the impact that radius parameter α calculates volume: α value is larger, and the gamut boundary reconstructing with Alpha shapes algorithm is more protruding, therefore suitable α value is set just can obtain correct result.Through test experiments repeatedly, when α value is less than 45, this algorithm can not reconstruct colour gamut surface; α value is less than at 50 o'clock, and reconstruct colour gamut surface is a little less than test sampling point; When 50< α <200, reconstruct three-dimensional gamut profile is consistent with true profile.Table 1 has provided the bulking value and calculating time used calculating when α gets different value.
From experimental result, can find out, adopt technical scheme of the present invention to calculate exactly to have the volume of three-dimensional gamut convex closure and pit feature, in the device independent color space simultaneously, and there is good real-time.The three-dimensional gamut processing platform of integrated the method display chroma test result directly can be visualized as to three-dimensional colour colour gamut stereographic map and scene provides gamut volume, is applicable to display manufacturer and test certification authority and applies when evaluating display look representation performance.
Table 1 different condition (α value, sample set size) lower volume calculated value and the time used
The device independent color space is if the three-dimensional gamut border in the Luv color space is corresponding to cubical 6 faces of look in the RGB color space, and the intersection between adjacent each face of colour gamut connects white-red corresponding to 12 limits of RGB colour solid and on RGB colour solid surface, in vain-green, in vain-indigo plant, black-Huang, black-green grass or young crops, black-6 purple lines.In actual applications, for reducing colourity test specimens, count, can 18 lines on above-mentioned RGB colour solid on every get 10 somes display carried out to colourity test, acquired results is three-dimensional gamut test sample book collection S.
The data in sample set S of take are raw data, adopt the step of describing in the present invention, get the radius parameter (50< α <200) of advising in the present invention, calculate the volume of the three-dimensional gamut that S defines.
Claims (2)
1. the display three-dimensional gamut volume fast algorithm based on Alpha's form, is characterized in that, comprises the following steps:
Step 1: the test of operating specification colour gamut test sample book obtains the colour gamut surface loose some data set S of display to be measured, and the loose point in S is and is distributed in the lip-deep point of three-dimensional gamut, and S set has been determined the three-dimensional gamut border of this display;
Step 2: point set S is carried out to triangulation, set up the three-dimensional Delaunay triangulation network, obtain the matrix of capable 4 row of n, n is the tetrahedral number of cutting apart, the index value of the tetrahedron top that every behavior of matrix is divided into;
Step 3: utilize Alpha Shapes algorithm principle to screen out tetrahedron, each simplex tetrahedron is calculated to its circumradius R; For given Alpha shapes radius parameter α, only retain the tetrahedron of R< α; Through after screening out, interface, last little tetrahedral outside is the boundary surface of three-dimensional gamut volume;
Step 4: the boundary surface of visualization step three gained three-dimensional gamut, visually screen out rear last little tetrahedral outer boundary, by changing the size of α, control the fine degree of the boundary surface obtaining;
Step 5: qualified tetrahedron is calculated respectively to its volume, more all volumes are added to the volume that obtains three-dimensional gamut.
2. the display three-dimensional gamut volume fast algorithm based on Alpha's form as claimed in claim 1, it is characterized in that, by changing the size of α, the fine degree of the boundary surface that control obtains specifically, observe the situation of boundary surface and adjust α: if boundary surface has cavity discontinuous, represent that current α value is too small, increase α value, repeating step three; If boundary surface is continuous, locus is arranged under the loose point of S, represents that current α value is still too small, increases α value, repeating step three; If boundary surface is continuous, locus is arranged on the loose point of S, represents that current α value is excessive, reduces α value, repeating step three; Adjust α value until boundary surface overlaps continuously and with loose point in S, show now to get α value size just in time, the concavo-convex degree of the boundary surface of its reconstruct is consistent with the concavo-convex degree on actual colour gamut surface.
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| CN110230980A (en) * | 2019-05-05 | 2019-09-13 | 广东省计量科学研究院（华南国家计量测试中心） | Dead amount bottom measuring method, system and storage medium based on three-dimensional point cloud |
| CN110715794A (en) * | 2018-07-12 | 2020-01-21 | 夏普株式会社 | Characteristic evaluation system for evaluating characteristics of display device |
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| WO2021247199A1 (en) * | 2012-08-30 | 2021-12-09 | Facebook Technologies, Llc | Rendering images on displays |
| US11250810B2 (en) | 2020-06-03 | 2022-02-15 | Facebook Technologies, Llc. | Rendering images on displays |
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| CN116773022A (en) * | 2023-08-21 | 2023-09-19 | 武汉精一微仪器有限公司 | Stereoscopic color gamut measurement method and system |
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