CN105405149A - Composite texture feature extraction method for flotation froth image - Google Patents

Composite texture feature extraction method for flotation froth image Download PDF

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CN105405149A
CN105405149A CN201510816204.7A CN201510816204A CN105405149A CN 105405149 A CN105405149 A CN 105405149A CN 201510816204 A CN201510816204 A CN 201510816204A CN 105405149 A CN105405149 A CN 105405149A
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foam
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彭涛
彭霞
桂卫华
彭小奇
宋彦坡
赵林
赵永恒
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Central South University
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Abstract

本发明公开了一种浮选泡沫图像的复合纹理特征提取方法。首先在泡沫图像的灰度量化矩阵中获取所有中心像素点的面邻域集合;然后针对所有中心像素点,构建三维数据表并得到嵌套灰度频数表;再次,获得一种改进的邻域灰度相关矩阵;最后求取一种新的复合纹理特征。该特征综合了泡沫的大小、纹理和粗糙度,在反映浮选泡沫的纹理上,具有较高的稳定性、可分性。根据所提取的复合纹理特征,容易将不同入矿品位下的不同工况的浮选泡沫图像区分开来,具有较高的工况识别正确率。本发明简单有效,对指导矿物浮选现场泡沫工况识别具有重要意义。

The invention discloses a compound texture feature extraction method of a flotation foam image. Firstly, the area neighborhood set of all central pixels is obtained in the gray quantization matrix of the foam image; then, for all central pixels, a three-dimensional data table is constructed and a nested grayscale frequency table is obtained; again, an improved neighborhood is obtained Gray level correlation matrix; Finally, a new composite texture feature is obtained. This feature combines the size, texture and roughness of the foam, and has high stability and separability in reflecting the texture of the flotation foam. According to the extracted composite texture features, it is easy to distinguish the flotation foam images of different working conditions under different ore grades, and has a high recognition accuracy of working conditions. The invention is simple and effective, and has great significance for guiding the identification of foam working conditions on the mineral flotation site.

Description

一种浮选泡沫图像的复合纹理特征提取方法A composite texture feature extraction method for flotation foam images

技术领域technical field

本发明属于图像处理、模式识别和矿物浮选技术领域,特别涉及一种浮选泡沫图像的复合纹理特征提取方法。The invention belongs to the technical fields of image processing, pattern recognition and mineral flotation, in particular to a compound texture feature extraction method of flotation foam images.

背景技术Background technique

泡沫表观特征是矿物浮选工况的综合反映,被认为与浮选效果的好坏密切相关。如何准确提取浮选过程中与关键生产指标密切相关的泡沫表观特征,是实现浮选工况识别的关键。长期以来,现场有经验的工人通过观察泡沫表面的状态调节工况,由于人为的随意性和主观性导致浮选状态不稳定,难以调节到最优的状态,导致矿物资源利用率不高,造成资源浪费。The apparent characteristics of foam are a comprehensive reflection of mineral flotation conditions, and are considered to be closely related to the flotation effect. How to accurately extract the foam appearance characteristics closely related to key production indicators in the flotation process is the key to realize the identification of flotation conditions. For a long time, experienced workers on site have adjusted the working conditions by observing the state of the foam surface. Due to artificial arbitrariness and subjectivity, the flotation state is unstable and it is difficult to adjust to the optimal state, resulting in low utilization of mineral resources, resulting in Waste of resources.

近年来基于机器视觉的浮选过程控制及优化成为国内外研究热点,其中基于机器视觉的工况识别是研究的主要内容之一。泡沫表观特征与浮选工况密切相关,是浮选性能的指示器。常用于浮选智能工况识别的泡沫表观特征主要有泡沫颜色、大小、纹理等,其中,纹理特征作为泡沫表观最重要的特征之一,综合了泡沫的大小和形状等特征,同时具有不随环境光照度影响等特点,被广泛应用于浮选工况识别中。邻域灰度相关矩阵是一种常用的基于统计的纹理特征提取方法,它具有旋转不变性、不随光照变化影响和计算速度快等特点。基于邻域灰度相关矩阵的粗度和细度等二次统计特征能较好地反映泡沫表面的纹理特点。由于传统的邻域灰度相关矩阵方法仅考虑了中心像素点与其邻域像素点灰度值相同或者相近的个数,却没有考虑它们之间相差的个数以及相差的大小,因此,丢失了大量能够反映图像像素差异度的空间分布属性,难以全面准确反映泡沫表面的纹理信息。此外,在不同的入矿品位条件下,泡沫图像也会有较大差异,而传统邻域灰度相关矩阵且不考虑入矿品位影响的纹理特征提取方法,难以适应准确识别泡沫浮选工况的需求。In recent years, the control and optimization of the flotation process based on machine vision has become a research hotspot at home and abroad, among which the recognition of operating conditions based on machine vision is one of the main contents of the research. The apparent characteristics of foam are closely related to the flotation conditions and are indicators of flotation performance. The foam appearance characteristics commonly used in the identification of flotation intelligent working conditions mainly include foam color, size, texture, etc. Among them, the texture feature is one of the most important characteristics of the foam appearance, which integrates the characteristics of the size and shape of the foam, and has It is widely used in the identification of flotation conditions due to its characteristics of not being affected by ambient light. Neighborhood gray level correlation matrix is a commonly used texture feature extraction method based on statistics. It has the characteristics of rotation invariance, no influence with illumination changes, and fast calculation speed. The secondary statistical features such as roughness and fineness based on the neighborhood gray correlation matrix can better reflect the texture characteristics of the foam surface. Since the traditional neighborhood gray level correlation matrix method only considers the number of the same or similar gray values of the central pixel and its neighboring pixels, but does not consider the number of differences between them and the size of the difference, therefore, lost A large number of spatial distribution attributes that can reflect the difference of image pixels are difficult to fully and accurately reflect the texture information of the foam surface. In addition, under different ore grade conditions, the froth image will be quite different, and the texture feature extraction method of the traditional neighborhood gray correlation matrix without considering the influence of ore grade is difficult to adapt to the accurate identification of froth flotation conditions demand.

因此,有必要设计一种浮选泡沫图像的复合纹理特征提取方法,以便更全面地捕捉不同入矿品位条件下的泡沫表面纹理信息。Therefore, it is necessary to design a composite texture feature extraction method for flotation foam images in order to more comprehensively capture the foam surface texture information under different ore grade conditions.

发明内容Contents of the invention

本发明所要解决的技术问题是提供一种浮选泡沫图像的复合纹理特征提取方法,该方法能够更加全面地反映不同入矿品位下的泡沫图像纹理特征的差异,具有良好的特征有效性和可分性,以适于后续的工况识别准确性的需要。The technical problem to be solved by the present invention is to provide a method for extracting composite texture features of flotation froth images, which can more comprehensively reflect the differences in texture features of froth images under different ore grades, and has good feature validity and reliability. Separation, in order to meet the needs of subsequent identification accuracy of working conditions.

一种浮选泡沫图像的复合纹理特征提取方法,包括以下步骤:A method for extracting composite texture features of flotation foam images, comprising the following steps:

步骤一:根据泡沫浮选现场所获得的泡沫视频读取RGB泡沫图像,将RGB图像进行灰度化,得到灰度图像矩阵;对灰度图像进行量化,得到量化矩阵;获取量化矩阵中所有中心像素点的面邻域集合;Step 1: Read the RGB foam image according to the foam video obtained at the foam flotation site, grayscale the RGB image to obtain a grayscale image matrix; quantify the grayscale image to obtain a quantization matrix; obtain all centers in the quantization matrix A set of area neighborhoods of pixels;

步骤二:计算各面邻域内像素点与中心像素点灰度值的绝对差;统计各绝对差的个数;针对泡沫图像中所有的中心像素点,构建三维数据表,所述三维数据表中元素分别为中心像素点灰度值、各绝对差个数、绝对差;Step 2: Calculate the absolute difference between the pixel point in the neighborhood of each face and the gray value of the central pixel point; count the number of each absolute difference; for all the central pixel points in the foam image, build a three-dimensional data table, in the three-dimensional data table The elements are the gray value of the central pixel, the number of absolute differences, and the absolute difference;

步骤三:构建基于三维数据表的嵌套灰度频数表;Step 3: Construct a nested grayscale frequency table based on a three-dimensional data table;

步骤四:根据所构建的嵌套灰度频数表,获得一种改进的邻域灰度相关矩阵;Step 4: Obtain an improved neighborhood gray-scale correlation matrix according to the constructed nested gray-scale frequency table;

步骤五:根据所得到的改进邻域灰度相关矩阵,求取一种新的二次统计特征——复合纹理。Step 5: According to the obtained improved neighborhood gray correlation matrix, obtain a new secondary statistical feature—composite texture.

所述步骤一中的获取量化后的泡沫图像矩阵所有中心像素点的面邻域集合具体步骤如下:The specific steps of obtaining the surface neighborhood sets of all central pixels of the quantized foam image matrix in the step 1 are as follows:

步骤1根据泡沫浮选现场所获得的泡沫视频读取RGB泡沫图像,将RGB图像进行灰度化,得到灰度图像矩阵A(x,y):Step 1 Read the RGB foam image according to the foam video obtained at the foam flotation site, convert the RGB image to grayscale, and obtain the grayscale image matrix A(x,y):

Ak×m(x,y)=0.290×R(x,y)+0.587×G(x,y)+0.114×B(x,y)A k×m (x,y)=0.290×R(x,y)+0.587×G(x,y)+0.114×B(x,y)

式中k×m为泡沫灰度图像的分辨率,(x,y)表示泡沫灰度图像中任一像素点的坐标,x=0,1,...,k-1,y=0,1,...,m-1;R(x,y)、G(x,y)、B(x,y)分别为泡沫图像的R、G、B矩阵。In the formula, k×m is the resolution of the foam grayscale image, (x, y) represents the coordinates of any pixel in the foam grayscale image, x=0,1,...,k-1, y=0, 1,...,m-1; R(x,y), G(x,y), and B(x,y) are the R, G, and B matrices of the foam image, respectively.

步骤2对灰度图像矩阵A(x,y)进行量化,得到量化矩阵M(x,y):Step 2 Quantize the grayscale image matrix A(x,y) to obtain the quantization matrix M(x,y):

式中Mg为泡沫图像的量化级数,为向下取整。In the formula, M g is the quantization series of the foam image, is rounded down.

步骤3在量化矩阵M(x,y)中,以所有的中心像素点(xc,yc)为中心、D为半径,获取面邻域集合:Step 3 In the quantization matrix M(x, y), take all the central pixel points (x c , y c ) as the center and D as the radius to obtain a set of surface neighborhoods:

VD(xc,yc)={(u,v)|(u,v)∈Mk×m,0<ρ((xc,yc),(u,v))≤D}V D (x c ,y c )={(u,v)|(u,v)∈M k×m ,0<ρ((x c ,y c ),(u,v))≤D}

其中xc∈D,D+1,…,k-1-D,yc∈D,D+1,…,m-1-D;{(u,v)|(·)}表示满足给定条件(·)下的点(u,v)组成的集合,ρ((xc,yc),(u,v))表示面邻域内像素点(u,v)与中心像素点(xc,yc)间的距离:where x c ∈ D, D+1,..., k-1-D, y c ∈ D, D+1,..., m-1-D; {(u, v)|( )} means satisfying the given The set of points (u, v) under the condition (·), ρ((x c , y c ), (u, v)) represents the pixel point (u, v) and the center pixel point (x c ,y c ) distance between:

ρ((xc,yc),(u,v))=max(|xc-u|,|yc-v|)ρ((x c ,y c ),(u,v))=max(|x c -u|,|y c -v|)

式中max(|xc-u|,|yc-v|)表示像素距离|xc-u|、|yc-v|中的最大值。In the formula, max(|x c -u|, |y c -v|) represents the maximum value among the pixel distances |x c -u|, |y c -v|.

所述步骤二中构建泡沫图像中心像素点的三维数据表具体步骤如下:The specific steps of constructing the three-dimensional data table of the central pixel point of the foam image in the step two are as follows:

步骤1计算面邻域集合VD(xc,yc)中各面邻域内像素点(u,v)灰度值与中心像素点(xc,yc)灰度值的绝对差i:Step 1 Calculate the absolute difference i between the gray value of the pixel (u, v) in the neighborhood of each face and the gray value of the central pixel (x c , y c ) in the face neighborhood set V D (x c , y c ):

i=|f(u,v)-f(xc,yc)|=|f(u,v)-gc|i=|f(u,v)-f(x c ,y c )|=|f(u,v)-g c |

式中f(u,v)和f(xc,yc)=gc分别表示像素点(u,v)和中心像素点(xc,yc)的灰度值,gc=0,1,…,Mg-1,i=0,1,…,Mg-1。In the formula, f(u,v) and f(x c ,y c )=g c represent the gray value of the pixel point (u,v) and the central pixel point (x c ,y c ) respectively, g c =0, 1, . . . , M g −1, i=0, 1, . . . , M g −1.

步骤2:统计绝对差为i的个数 Step 2: Count the number of absolute difference i

sthe s gg cc ,, ii == ## {{ (( uu ,, vv )) || (( uu ,, vv )) &Element;&Element; VV DD. (( xx cc ,, ythe y cc )) ,, ii }}

式中#表示统计集合{(u,v)|(·)}中满足给定条件(·)下的点(u,v)的个数。In the formula, # represents the number of points (u, v) in the statistical set {(u, v)|(·)} that meet the given condition (·).

步骤3:构建泡沫图像各中心像素点的三维数据表;Step 3: Construct a three-dimensional data table of each central pixel point of the foam image;

定义某中心像素点(xc,yc)的三维数据表fD(xc,yc,i)如下:Define the three-dimensional data table f D (x c ,y c ,i) of a certain central pixel point (x c ,y c ) as follows:

ff DD. (( xx cc ,, ythe y cc ,, ii )) == tt aa bb ll ee (( gg cc ,, sthe s gg cc ,, ii ,, ii ))

式中为一个表中元素分别为gci,大小为1×1×Mg的三维数据表。In the formula The elements in a table are g c , i, a three-dimensional data table with a size of 1×1×M g .

针对泡沫图像中所有中心像素点,构建相应的三维数据表。Construct a corresponding three-dimensional data table for all central pixel points in the foam image.

所述步骤三中构建基于三维数据表的嵌套灰度频数表方法如下:In the step 3, the method of constructing a nested grayscale frequency table based on a three-dimensional data table is as follows:

定义嵌套灰度频数表FD(x′c,y′c,i)如下:Define the nested grayscale frequency table F D (x′ c ,y′ c ,i) as follows:

FD(xc',yc',i)=table(fD(xc,yc,i))F D (x c ',y c ',i)=table(f D (x c ,y c ,i))

式中xc'=xc-D,xc'∈0,1,…,k-1-2D,yc'=yc-D,yc'∈0,1,…,m-1-2D。嵌套灰度频数表FD(x′c,y′c,i)中某单元格位置(xc',yc')的元素即为 where x c '=x c -D, x c '∈0,1,...,k-1-2D, y c '=y c -D,y c '∈0,1,...,m-1- 2D. The element of a certain cell position (x c ', y c ') in the nested grayscale frequency table F D (x′ c ,y′ c , i) is

将步骤二针对所有中心像素点(xc,yc)所构建的每个三维数据表fD(xc,yc,i),嵌入嵌套灰度频数表中相应单元格位置,构建出一个大小为(k-2D)×(m-2D)×Mg的嵌套灰度频数表。Embed each three-dimensional data table f D (x c , y c , i) constructed in step 2 for all central pixel points (x c , y c ) into the corresponding cell positions in the nested grayscale frequency table to construct A nested grayscale frequency table of size (k-2D)×(m-2D)×M g .

所述步骤四中获得一种改进的邻域灰度相关矩阵:In the step four, an improved neighborhood gray correlation matrix is obtained:

定义改进邻域相关矩阵QD(g,i)如下:Define the improved neighborhood correlation matrix Q D (g, i) as follows:

式中g=0,1,…,Mg-1,i=0,1,…,Mg-1,qD(g,i)为矩阵QD(g,i)在位置(g,i)处的元素。where g=0,1,...,M g -1, i=0,1,...,M g -1, q D (g,i) is the matrix Q D (g,i) at position (g,i ) at the element.

在步骤三所获得的嵌套灰度频数表FD(x′c,y′c,i)中,统计面邻域内像素点灰度值与中心像素点灰度值gc间绝对差为i时所有的总和qD(gc,i):In the nested grayscale frequency table F D (x′ c ,y′ c , i) obtained in step 3, the absolute difference between the gray value of the pixel in the neighborhood of the statistical surface and the gray value of the central pixel g c is i All the time The sum of q D (g c ,i):

式中Σ表示集合{sg,i|(·)}中满足给定条件(·)的所有sg,I之和,&&表示逻辑与运算。In the formula, Σ represents the sum of all s g, I in the set {s g, i |( )} satisfying the given condition ( ), && represents the logical AND operation.

将qD(gc,i)作为矩阵QD(g,i)在位置(g=gc,i)处的元素,获得一个Mg×Mg的改进邻域灰度相关矩阵QD(g,i)。Taking q D (g c , i) as the element of the matrix Q D (g, i) at the position ( g = g c , i), an improved neighborhood gray level correlation matrix Q D ( g, i).

所述步骤五中计算一种新的复合纹理特征:A new composite texture feature is calculated in the step five:

根据改进的邻域灰度相关矩阵,定义一种新的二次统计特征,即复合纹理特征CT为:According to the improved neighborhood gray-level correlation matrix, a new secondary statistical feature, that is, the composite texture feature CT is defined as:

CC TT == &Sigma;&Sigma; gg == 00 Mm gg -- 11 gg 22 (( &Sigma;&Sigma; ii == 00 Mm gg -- 11 QQ DD. (( gg ,, ii )) )) &Sigma;&Sigma; gg == 00 Mm gg -- 11 &Sigma;&Sigma; ii == 00 Mm gg -- 11 &lsqb;&lsqb; (( ii ++ 11 )) 22 QQ DD. (( gg ,, ii )) &rsqb;&rsqb; ..

有益效果Beneficial effect

本发明提供了一种浮选泡沫图像的复合纹理特征提取方法,它相对于传统的邻域灰度相关矩阵,不仅统计了邻域像素点与中心像素点相同的个数,而且统计了两者之间相异的大小和相应的个数,能更全面地反映泡沫表面的纹理信息。同时,在改进的邻域灰度相关矩阵的基础上,定义了一种新的二次统计特征——复合纹理特征,它综合了泡沫的大小、纹理和粗糙度,能更加全面描述泡沫图像纹理特征的结构特性。实验证明,本发明所提取的新的复合纹理特征,具有更好的特征有效性、可分性,并且能够反映不同入矿品位条件下的精矿品位与泡沫纹理特征之间的变化关系。由于计算速度快,可以有效用于矿物浮选工况的在线识别。The present invention provides a composite texture feature extraction method of flotation foam images. Compared with the traditional neighborhood gray level correlation matrix, it not only counts the same number of neighborhood pixels and center pixels, but also counts both The different sizes and corresponding numbers can more comprehensively reflect the texture information of the foam surface. At the same time, on the basis of the improved neighborhood gray level correlation matrix, a new secondary statistical feature—composite texture feature is defined, which integrates the size, texture and roughness of the foam, and can describe the texture of the foam image more comprehensively. Structural properties of features. Experiments prove that the new composite texture feature extracted by the present invention has better feature validity and separability, and can reflect the changing relationship between concentrate grade and foam texture feature under different ore grade conditions. Due to the fast calculation speed, it can be effectively used for online identification of mineral flotation conditions.

附图说明Description of drawings

图1为5种不同工况的泡沫图像,其中,图a为优等品位,图b为良等品位,图c为中等品位,图d为偏差品位,图e为极低品位;Figure 1 shows the foam images of five different working conditions, in which Figure a is excellent grade, Figure b is good grade, Figure c is medium grade, Figure d is deviation grade, and Figure e is extremely low grade;

图2为中心像素点(xc,yc)的面邻域示意图(D=1);Fig. 2 is a schematic diagram (D=1) of the plane neighborhood of the central pixel point (x c , y c );

图3为改进邻域灰度相关矩阵求解过程的简单描述图(D=1,Mg=8);其中,图(a)为图像的灰度量化矩阵Ak×m(x,y);图(b)为三维数据表fD(xc,yc,i);图(c)为嵌套灰度频数表FD(xc',yc',i);图(d)为改进的邻域灰度相关矩阵QD(g,i);Fig. 3 is a simple description diagram (D=1, Mg=8) of improving the process of solving the neighborhood gray correlation matrix; wherein, Fig. (a) is the gray quantization matrix A k×m ( x , y) of the image; Figure (b) is a three-dimensional data table f D (x c ,y c ,i); Figure (c) is a nested grayscale frequency table F D (x c ',y c ',i); Figure (d) is Improved neighborhood gray level correlation matrix Q D (g,i);

图4为各精矿品位等级下的复合纹理特征区间分布图;Fig. 4 is the interval distribution map of composite texture features under each concentrate grade grade;

图5为入矿品位等级为2条件下,复合纹理特征对于5种不同工况的分布图。Fig. 5 is the distribution map of composite texture features for 5 different working conditions under the condition that the ore grade is 2.

具体实施方式detailed description

以下将结合附图和具体实施案例对本发明做进一步详细说明。The present invention will be described in further detail below in conjunction with the accompanying drawings and specific implementation examples.

下面结合附图对本发明的具体实施方式进行描述,某锑粗选现场有5种不同正常工况的泡沫,它们是依据精矿品位等级进行划分的,这5种等级分别为:优等(品位值≥40.5),良等(品位值:[37.5-40.5)),中等(品位值:[33-37.5)),偏差(品位值:[27.5-33)),极差(品位值<27.5)。5种不同工况的泡沫图像如图1所示。同时入矿品位根据现场锑粗选工人的经验可以分为5等,它们分别为:高等(品位值≥2.14),较高(品位值:[1.75.-2.14)),中等(品位值:[1.33-1.75)),较低(品位值:[1.08-1.33)),低等(品位值<1.08),如图1泡沫图像左下角的数字所示,1,2,…,5分别表示入矿品位为高等,较高,…,低等。通过泡沫图像可以发现,不同入矿品位条件下,即便对应相同的精矿品位,锑粗选的泡沫图像仍会呈现出明显差异。The specific embodiment of the present invention is described below in conjunction with accompanying drawing, there are 5 kinds of foams of different normal working conditions in a certain antimony roughing site, and they are divided according to the grade of concentrate ore, and these 5 kinds of grades are respectively: excellent class (grade value ≥40.5), good (grade value: [37.5-40.5)), medium (grade value: [33-37.5)), deviation (grade value: [27.5-33)), very poor (grade value <27.5). The foam images of five different working conditions are shown in Fig. 1. At the same time, the ore grade can be divided into 5 grades according to the experience of the on-site antimony roughing workers, which are: high (grade value ≥ 2.14), high (grade value: [1.75.-2.14)), medium (grade value: [ 1.33-1.75)), lower (grade value: [1.08-1.33)), low (grade value <1.08), as shown in the numbers in the lower left corner of the foam image in Figure 1, 1, 2, ..., 5 respectively represent The ore grade is high, high, ..., low. From the foam images, it can be found that under different ore grades, even for the same concentrate grade, the foam images of antimony roughing still show obvious differences.

第一步,根据金锑浮选现场所采集到的锑粗选泡沫视频,读取RGB泡沫图像,将RGB泡沫图像转化为进行灰度矩阵,对灰度矩阵进行16级量化,也就是将灰度值为0~255的矩阵量化到灰度值为0~15的矩阵。最后获取量化后的泡沫图像矩阵的所有中心像素点的面邻域集合,具体步骤如下:The first step is to read the RGB foam image according to the antimony rough selection foam video collected at the gold-antimony flotation site, convert the RGB foam image into a grayscale matrix, and perform 16-level quantization on the grayscale matrix, that is, grayscale The matrices with grayscale values from 0 to 255 are quantized to matrices with grayscale values from 0 to 15. Finally, obtain the surface neighborhood set of all central pixels of the quantized foam image matrix, and the specific steps are as follows:

步骤1根据泡沫浮选现场所获得的泡沫视频读取RGB泡沫图像,将RGB图像进行灰度化,得到灰度图像矩阵A(x,y):Step 1 Read the RGB foam image according to the foam video obtained at the foam flotation site, convert the RGB image to grayscale, and obtain the grayscale image matrix A(x,y):

Ak×m(x,y)=0.290×R(x,y)+0.587×G(x,y)+0.114×B(x,y)公式1A k×m (x,y)=0.290×R(x,y)+0.587×G(x,y)+0.114×B(x,y) Formula 1

式中k×m(k=600,m=800)为泡沫灰度图像的分辨率,(x,y)表示泡沫灰度图像中任一像素点的坐标,x=0,1,...,k-1,y=0,1,...,m-1;R(x,y)、G(x,y)、B(x,y)分别为泡沫图像的R、G、B矩阵。In the formula, k×m (k=600, m=800) is the resolution of the foam grayscale image, (x, y) represents the coordinates of any pixel in the foam grayscale image, x=0,1,... ,k-1, y=0,1,...,m-1; R(x,y), G(x,y), B(x,y) are the R, G, B matrix of the foam image respectively .

步骤2对灰度图像矩阵A(x,y)进行16级量化,得到量化矩阵M(x,y):Step 2 Perform 16-level quantization on the grayscale image matrix A(x,y) to obtain the quantization matrix M(x,y):

公式2 Formula 2

式中Mg(Mg=16)为泡沫图像的量化级数,为向下取整。In the formula, Mg ( Mg =16) is the quantization series of the foam image, is rounded down.

步骤3在量化矩阵M(x,y)中,以所有的中心像素点(xc,yc)为中心、半径D=1的面邻域集合为:Step 3 In the quantization matrix M(x, y), the face neighborhood set centered on all the central pixel points (x c , y c ) and radius D=1 is:

VD(xc,yc)={(u,v)|(u,v)∈Mk×m,0<ρ((xc,yc),(u,v))≤D}公式3V D (x c ,y c )={(u,v)|(u,v)∈M k×m ,0<ρ((x c ,y c ),(u,v))≤D} formula 3

其中xc∈D,D+1,…,k-1-D,yc∈D,D+1,…,m-1-D;{(u,v)|(·)}表示满足给定条件(·)下的点(u,v)组成的集合,ρ((xc,yc),(u,v))表示面领域内像素点(u,v)与中心像素点(xc,yc)间的距离:where x c ∈ D, D+1,..., k-1-D, y c ∈ D, D+1,..., m-1-D; {(u, v)|( )} means satisfying the given The set of points (u, v) under the condition (·), ρ((x c , y c ), (u, v)) represents the pixel point (u, v) and the center pixel point (x c ,y c ) distance between:

ρ((xc,yc),(u,v))=max(|xc-u|,|yc-v|)公式4ρ((x c ,y c ),(u,v))=max(|x c -u|,|y c -v|) Formula 4

式中max(|xc-u|,|yc-v|)表示像素距离|xc-u|、|yc-v|中的最大值(如图2所示)。In the formula, max(|x c -u|, |y c -v|) represents the maximum value among the pixel distances |x c -u|, |y c -v| (as shown in Figure 2).

第二步,构建锑粗选图像中心像素点的三维数据表,具体步骤如下:The second step is to construct a three-dimensional data table of the central pixel of the rough selected image, and the specific steps are as follows:

步骤1计算面邻域集合VD(xc,yc)中各面邻域内像素点(u,v)灰度值与中心像素点(xc,yc)灰度值的绝对差i:Step 1 Calculate the absolute difference i between the gray value of the pixel (u, v) in the neighborhood of each face and the gray value of the central pixel (x c , y c ) in the face neighborhood set V D (x c , y c ):

i=|f(u,v)-f(xc,yc)|=|f(u,v)-gc|公式5i=|f(u,v)-f(x c ,y c )|=|f(u,v)-g c |Formula 5

式中f(u,v)和f(xc,yc)=gc分别表示像素点(u,v)和中心像素点(xc,yc)的灰度值,gc=0,1,…,Mg-1,i=0,1,…,Mg-1。In the formula, f(u,v) and f(x c ,y c )=g c represent the gray value of the pixel point (u,v) and the central pixel point (x c ,y c ) respectively, g c =0, 1, . . . , M g −1, i=0, 1, . . . , M g −1.

步骤2统计绝对差为i的个数 Step 2 count the number of absolute difference i

s g c , i = # { ( u , v ) | ( u , v ) &Element; V D ( x c , y c ) , i } 公式6 the s g c , i = # { ( u , v ) | ( u , v ) &Element; V D. ( x c , the y c ) , i } Formula 6

式中#表示统计集合{(u,v)|(·)}中满足给定条件(·)下的点(u,v)的个数。In the formula, # represents the number of points (u, v) in the statistical set {(u, v)|(·)} that meet the given condition (·).

步骤3:构建泡沫图像各中心像素点的三维数据表;Step 3: Construct a three-dimensional data table of each central pixel point of the foam image;

定义某中心像素点(xc,yc)的三维数据表fD(xc,yc,i)如下:Define the three-dimensional data table f D (x c ,y c ,i) of a certain central pixel point (x c ,y c ) as follows:

f D ( x c , y c , i ) = t a b l e ( g c , s g c , i , i ) 公式7 f D. ( x c , the y c , i ) = t a b l e ( g c , the s g c , i , i ) Formula 7

式中为一个表中元素分别为gci,大小为1×1×15的三维数据表,i依次取0,1,…,15。In the formula The elements in a table are g c , i, a three-dimensional data table with a size of 1×1×15, i takes 0,1,…,15 in turn.

针对泡沫图像中所有中心像素点,构建相应的三维数据表。中心像素点的面邻域集合如图3(a)所示,对应三维数据表如图3(b)所示。Construct a corresponding three-dimensional data table for all central pixel points in the foam image. The surface neighborhood set of the central pixel point is shown in Figure 3(a), and the corresponding three-dimensional data table is shown in Figure 3(b).

第三步,构建锑粗选图像的嵌套灰度频数表;The third step is to construct the nested grayscale frequency table of antimony rough selection image;

定义嵌套灰度频数表FD(x′c,y′c,i)如下:Define the nested grayscale frequency table F D (x′ c ,y′ c ,i) as follows:

FD(xc',yc',i)=table(fD(xc,yc,i))公式8F D (x c ',y c ',i)=table(f D (x c ,y c ,i))Formula 8

式中xc'=xc-D,xc'∈0,1,…,k-1-2D,yc'=yc-D,yc'∈0,1,…,m-1-2D。嵌套灰度频数表FD(x′c,y′c,i)中某单元格位置(xc',yc')的元素即为 where x c '=x c -D, x c '∈0,1,...,k-1-2D, y c '=y c -D,y c '∈0,1,...,m-1- 2D. The element of a certain cell position (x c ', y c ') in the nested grayscale frequency table F D (x′ c ,y′ c , i) is

将第二步针对所有中心像素点(xc,yc)所构建的每个三维数据表fD(xc,yc,i),嵌入嵌套灰度频数表中相应单元格位置,构建出一个大小为588×788×16的嵌套灰度频数表。如图3(c)所示。Embed each three-dimensional data table f D (x c , y c , i) constructed for all central pixel points (x c , y c ) in the second step into the corresponding cell position in the nested grayscale frequency table, and construct Generate a nested grayscale frequency table with a size of 588×788×16. As shown in Figure 3(c).

第四步,获得一种改进的邻域灰度相关矩阵:The fourth step is to obtain an improved neighborhood gray correlation matrix:

定义改进邻域相关矩阵QD(g,i)如下:Define the improved neighborhood correlation matrix Q D (g, i) as follows:

公式9 Formula 9

式中g=0,1,…,Mg-1,i=0,1,…,Mg-1,qD(g,i)为矩阵QD(g,i)在位置(g,i)处的元素。where g=0,1,...,M g -1, i=0,1,...,M g -1, q D (g,i) is the matrix Q D (g,i) at position (g,i ) at the element.

在第三步所获得的嵌套灰度频数表FD(x′c,y′c,i)中,统计面邻域内像素点灰度值与中心像素点灰度值gc间绝对差为i时所有的总和qD(gc,i):In the nested grayscale frequency table F D (x′ c ,y′ c , i) obtained in the third step, the absolute difference between the gray value of the pixel in the neighborhood of the statistical surface and the gray value of the center pixel g c is i time all The sum of q D (g c ,i):

公式10 Formula 10

式中Σ表示集合{sg,i|(·)}中满足给定条件(·)的所有sg,I之和,&&表示逻辑与运算。In the formula, Σ represents the sum of all s g, I in the set {s g, i |( )} satisfying the given condition ( ), && represents the logical AND operation.

将qD(gc,i)作为矩阵QD(g,i)在位置(g=gc,i)处的元素,获得一个16×16的改进邻域灰度相关矩阵QD(g,i)。如图3(d)所示。Take q D (g c , i) as the element of matrix Q D (g, i) at position (g=g c , i), and obtain a 16×16 improved neighborhood gray level correlation matrix Q D (g, i). As shown in Figure 3(d).

第五步,计算一种新的复合纹理特征:The fifth step is to calculate a new composite texture feature:

根据改进的邻域灰度相关矩阵,定义一种新的二次统计特征,即复合纹理特征CT为:According to the improved neighborhood gray-level correlation matrix, a new secondary statistical feature, that is, the composite texture feature CT is defined as:

C T = &Sigma; g = 0 M g - 1 g 2 ( &Sigma; i = 0 M g - 1 Q D ( g , i ) ) &Sigma; g = 0 M g - 1 &Sigma; i = 0 M g - 1 &lsqb; ( i + 1 ) 2 Q D ( g , i ) &rsqb; 公式11 C T = &Sigma; g = 0 m g - 1 g 2 ( &Sigma; i = 0 m g - 1 Q D. ( g , i ) ) &Sigma; g = 0 m g - 1 &Sigma; i = 0 m g - 1 &lsqb; ( i + 1 ) 2 Q D. ( g , i ) &rsqb; Formula 11

复合纹理特征的分子反映了和平均特征,当精矿品位越高即锑含量越高时,分子越大;分母反映图像纹理的粗细度,精矿品位越高,而且图像的纹理越细时,复合纹理特征值越大。CT复合了粗细度特征、和平均特征,可以很好地反映泡沫表层的大小、纹理和粗糙度等信息。The numerator of the composite texture feature reflects the sum average feature. When the concentrate grade is higher, that is, the antimony content is higher, the numerator is larger; the denominator reflects the thickness of the image texture. The higher the concentrate grade and the finer the image texture, the larger the numerator. The larger the composite texture feature value is. CT combines thickness features and average features, which can well reflect information such as the size, texture, and roughness of the foam surface.

附图4给出了各精矿品位等级下的复合纹理特征区间分布,由此可见,当处于不同的精矿品位等级时,复合纹理特征值分布在不同的区间,并且当精矿品位等级为较高时,复合纹理特征值最大,因此,复合纹理特征可以反映精矿品位的变化,可以作为精矿品位的指示器。Accompanying drawing 4 has provided the interval distribution of composite texture characteristic under each concentrate grade grade, thus can be seen, when being in different concentrate grade grades, composite texture characteristic value is distributed in different intervals, and when concentrate grade grade is When it is higher, the characteristic value of the composite texture is the largest. Therefore, the composite texture characteristic can reflect the change of the concentrate grade and can be used as an indicator of the concentrate grade.

附图5给出了在入矿品位等级为2(较高),所提取的复合纹理特征对于5种不同工况的分布图。由图5可见,在相同入矿品位条件下,复合纹理特征可以明显将不同的工况区分开来。因此,复合纹理特征具有良好的模式可分性,可以用于工况识别,为锑粗选过程控制与优化提供指导。Accompanying drawing 5 shows the distribution map of the extracted composite texture features for 5 different working conditions when the ore grade is 2 (higher). It can be seen from Figure 5 that under the same ore grade, the composite texture feature can clearly distinguish different working conditions. Therefore, the composite texture feature has good mode separability, which can be used for working condition identification and provide guidance for the control and optimization of antimony roughing process.

邻域灰度相关矩阵具有空间旋转不变性、不随光照影响以及计算速度快等优点,正好契合了浮选现场环境比较复杂并且浮选数据量庞大的特点,使之成为泡沫浮选中一种常用的纹理特征提取方法。但是传统的邻域灰度相关矩阵只考虑了邻域像素点与中心像素点相同或相近的个数,却没有考虑它们之间相差的个数以及相差的大小,因此,丢失了大量能够反映图像像素差异度的空间分布属性,难以全面反映泡沫表面的纹理信息。Neighborhood gray-level correlation matrix has the advantages of invariance to space rotation, no influence with light and fast calculation speed, which just fits the characteristics of complex flotation site environment and huge amount of flotation data, making it a commonly used method in froth flotation. texture feature extraction method. However, the traditional neighborhood gray-level correlation matrix only considers the number of neighboring pixels that are the same as or similar to the central pixel, but does not consider the number of differences between them and the size of the difference. Therefore, a large number of pixels that can reflect the image The spatial distribution attribute of pixel difference is difficult to fully reflect the texture information of the foam surface.

因此,本发明针对传统的邻域灰度相关矩阵忽略了邻域像素点与中心像素点之间存在差异的问题,提出一种浮选泡沫图像的复合纹理特征提取方法,该方法不仅统计了邻域像素点与中心像素点相同的个数,而且统计了两者之间相异的大小和相应的个数。在改进的邻域灰度相关矩阵的基础上,提出一种综合了泡沫的大小、纹理和粗糙度的新纹理特征——复合纹理特征,以更全面地表达不同入矿品位条件下的泡沫表面纹理信息,更加易于泡沫浮选工况的准确识别。Therefore, the present invention aims at the problem that the traditional neighborhood gray correlation matrix ignores the difference between the neighborhood pixels and the central pixel, and proposes a composite texture feature extraction method for flotation foam images, which not only counts The number of domain pixels is the same as that of the center pixel, and the difference between the two and the corresponding number are counted. On the basis of the improved neighborhood gray correlation matrix, a new texture feature that combines the size, texture and roughness of the foam—composite texture feature is proposed to more fully express the foam surface under different ore grade conditions Texture information makes it easier to accurately identify froth flotation conditions.

Claims (6)

1.一种浮选泡沫图像的复合纹理特征提取方法,其特征在于,包括以下步骤:1. a composite texture feature extraction method of flotation foam image, is characterized in that, comprises the following steps: 步骤一:根据矿物泡沫浮选现场所获得的泡沫视频读取RGB泡沫图像,将RGB泡沫图像进行灰度化,得到灰度图像矩阵;对灰度图像进行量化,得到量化矩阵;获取量化矩阵中所有中心像素点的面邻域集合;Step 1: Read the RGB foam image according to the foam video obtained at the mineral froth flotation site, grayscale the RGB foam image to obtain a grayscale image matrix; quantify the grayscale image to obtain a quantization matrix; obtain the quantization matrix A collection of surface neighborhoods of all central pixels; 步骤二:计算各面邻域内像素点与中心像素点灰度值的绝对差;统计各绝对差的个数;针对图像中所有的中心像素点,构建三维数据表,所述三维数据表中元素分别为中心像素点灰度值、各绝对差个数、绝对差;Step 2: Calculate the absolute difference between the pixel points in the neighborhood of each surface and the gray value of the central pixel point; count the number of each absolute difference; construct a three-dimensional data table for all central pixel points in the image, and the elements in the three-dimensional data table Respectively, the gray value of the center pixel, the number of absolute differences, and the absolute difference; 步骤三:构建基于三维数据表的嵌套灰度频数表;Step 3: Construct a nested grayscale frequency table based on a three-dimensional data table; 步骤四:根据所构建的嵌套灰度频数表,获得一种改进的邻域灰度相关矩阵;Step 4: Obtain an improved neighborhood gray-scale correlation matrix according to the constructed nested gray-scale frequency table; 步骤五:根据所得到的改进邻域灰度相关矩阵,求取一种新的复合纹理特征。Step 5: Calculate a new composite texture feature based on the obtained improved neighborhood gray level correlation matrix. 2.根据权利要求1所述的浮选泡沫图像的复合纹理特征提取方法,其特征在于,所述步骤一具体步骤如下:2. the composite texture feature extraction method of flotation froth image according to claim 1, is characterized in that, described step one concrete steps are as follows: 步骤1:根据泡沫浮选现场所获得的泡沫视频读取RGB泡沫图像,将RGB图像进行灰度化,得到灰度图像矩阵A(x,y):Step 1: Read the RGB foam image according to the foam video obtained at the foam flotation site, convert the RGB image to grayscale, and obtain the grayscale image matrix A(x,y): Ak×m(x,y)=0.290×R(x,y)+0.587×G(x,y)+0.114×B(x,y)A k×m (x,y)=0.290×R(x,y)+0.587×G(x,y)+0.114×B(x,y) 式中k×m为泡沫灰度图像的分辨率,(x,y)表示泡沫灰度图像中任一像素点的坐标,x=0,1,...,k-1,y=0,1,...,m-1;R(x,y)、G(x,y)、B(x,y)分别为泡沫图像的R、G、B矩阵;In the formula, k×m is the resolution of the foam grayscale image, (x, y) represents the coordinates of any pixel in the foam grayscale image, x=0,1,...,k-1, y=0, 1,...,m-1; R(x,y), G(x,y), and B(x,y) are the R, G, and B matrices of the foam image, respectively; 步骤2:对灰度图像矩阵A(x,y)进行量化,得到量化矩阵M(x,y):Step 2: Quantize the grayscale image matrix A(x,y) to obtain the quantization matrix M(x,y): 式中Mg为泡沫图像的量化级数,为向下取整;In the formula, M g is the quantization series of the foam image, is rounded down; 步骤3:在量化矩阵M(x,y)中,以所有的中心像素点(xc,yc)为中心、D为半径,获取面邻域集合:Step 3: In the quantization matrix M(x, y), take all the central pixel points (x c , y c ) as the center and D as the radius to obtain a set of surface neighborhoods: VD(xc,yc)={(u,v)|(u,v)∈Mk×m,0<ρ((xc,yc),(u,v))≤D}V D (x c ,y c )={(u,v)|(u,v)∈M k×m ,0<ρ((x c ,y c ),(u,v))≤D} 其中,xc∈D,D+1,…,k-1-D;yc∈D,D+1,…,m-1-D,{(u,v)|(·)}表示满足给定条件(·)下的点(u,v)组成的集合,ρ((xc,yc),(u,v))表示邻域内像素点(u,v)与中心像素点(xc,yc)间的距离:Among them, x c ∈ D, D+1,..., k-1-D; y c ∈ D, D+1,..., m-1-D, {(u, v)|( )} means that the given ρ((x c ,y c ),(u,v)) means the pixel point (u,v) in the neighborhood and the central pixel point (x c ,y c ) distance between: ρ((xc,yc),(u,v))=max(|xc-u|,|yc-v|)ρ((x c ,y c ),(u,v))=max(|x c -u|,|y c -v|) 式中max(|xc-u|,|yc-v|)表示像素距离|xc-u|、|yc-v|中的最大值。In the formula, max(|x c -u|, |y c -v|) represents the maximum value among the pixel distances |x c -u|, |y c -v|. 3.根据权利要求2所述的浮选泡沫图像的复合纹理特征提取方法,其特征在于,所述步骤二具体步骤如下:3. the composite texture feature extraction method of flotation froth image according to claim 2, is characterized in that, described step 2 specific steps are as follows: 步骤1:计算面邻域集合VD(xc,yc)中各面领域内像素点(u,v)灰度值与中心像素点(xc,yc)灰度值的绝对差i:Step 1: Calculate the absolute difference i between the gray value of the pixel point (u, v) and the gray value of the central pixel point (x c , y c ) in each area of the face neighborhood set V D (x c , y c ) : i=|f(u,v)-f(xc,yc)|=|f(u,v)-gc|i=|f(u,v)-f(x c ,y c )|=|f(u,v)-g c | 式中f(u,v)和f(xc,yc)=gc分别表示像素点(u,v)和中心像素点(xc,yc)的灰度值,gc=0,1,…,Mg-1,i=0,1,…,Mg-1;In the formula, f(u,v) and f(x c ,y c )=g c represent the gray value of the pixel point (u,v) and the central pixel point (x c ,y c ) respectively, g c =0, 1,..., Mg -1, i=0,1,..., Mg -1; 步骤2:统计绝对差为i的个数 Step 2: Count the number of absolute difference i sthe s gg cc ,, ii == ## {{ (( uu ,, vv )) || (( uu ,, vv )) &Element;&Element; VV DD. (( xx cc ,, ythe y cc )) ,, ii }} 式中#表示统计集合{(u,v)|(·)}中满足给定条件(·)下的点(u,v)的个数;In the formula, # indicates the number of points (u, v) in the statistical set {(u, v)|( )} satisfying the given condition ( ); 步骤3:构建泡沫图像各中心像素点的三维数据表;Step 3: Construct a three-dimensional data table of each central pixel point of the foam image; 定义某中心像素点(xc,yc)的三维数据表fD(xc,yc,i)如下:Define the three-dimensional data table f D (x c ,y c ,i) of a certain central pixel point (x c ,y c ) as follows: ff DD. (( xx cc ,, ythe y cc ,, ii )) == tt aa bb ll ee (( gg cc ,, sthe s gg cc ,, ii ,, ii )) 式中为一个表中元素分别为gci,大小为1×1×Mg的三维数据表;In the formula The elements in a table are g c , i, a three-dimensional data table whose size is 1×1×M g ; 针对泡沫图像中所有中心像素点,构建相应的三维数据表。Construct a corresponding three-dimensional data table for all central pixel points in the foam image. 4.根据权利要求3所述的浮选泡沫图像的复合纹理特征提取方法,其特征在于,所述步骤三构建基于三维数据表的嵌套灰度频数表具体为:4. the composite texture feature extraction method of flotation froth image according to claim 3, is characterized in that, described step 3 builds the nested gray scale frequency table based on three-dimensional data table and is specially: 定义嵌套灰度频数表FD(x′c,y′c,i)如下:Define the nested grayscale frequency table F D (x′ c ,y′ c ,i) as follows: FD(xc',yc',i)=table(fD(xc,yc,i))F D (x c ',y c ',i)=table(f D (x c ,y c ,i)) 式中xc'=xc-D,xc'∈0,1,…,k-1-2D;yc'=yc-D,yc'∈0,1,…,m-1-2D,嵌套灰度频数表FD(x′c,y′c,i)中某单元格位置(xc',yc')的元素即为 where x c '=x c -D, x c '∈0,1,...,k-1-2D; y c '=y c -D,y c '∈0,1,...,m-1- 2D, the element of a certain cell position (x c ', y c ') in the nested grayscale frequency table F D (x′ c ,y′ c , i) is 将步骤二针对所有中心像素点(xc,yc)所构建的每个三维数据表fD(xc,yc,i),嵌入嵌套灰度频数表中相应单元格位置,构建出一个大小为(k-2D)×(m-2D)×Mg的嵌套灰度频数表。Embed each three-dimensional data table f D (x c , y c , i) constructed in step 2 for all central pixel points (x c , y c ) into the corresponding cell positions in the nested grayscale frequency table to construct A nested grayscale frequency table of size (k-2D)×(m-2D)×M g . 5.根据权利要求4所述的浮选泡沫图像的复合纹理特征提取方法,其特征在于,所述步骤四获得一种改进的邻域灰度相关矩阵具体为:5. the composite texture feature extraction method of flotation froth image according to claim 4, is characterized in that, described step 4 obtains a kind of improved neighborhood gray scale correlation matrix and is specifically: 定义改进邻域相关矩阵QD(g,i)如下:Define the improved neighborhood correlation matrix Q D (g, i) as follows: 式中g=0,1,…,Mg-1,i=0,1,…,Mg-1,qD(g,i)为矩阵QD(g,i)在位置(g,i)处的元素;where g=0,1,...,M g -1, i=0,1,...,M g -1, q D (g,i) is the matrix Q D (g,i) at position (g,i ) at the element; 在步骤三所获得的嵌套灰度频数表FD(x′c,y′c,i)中,统计邻域像素点灰度值与中心像素点灰度值gc的绝对差为i时所有的总和qD(gc,i):In the nested grayscale frequency table F D (x′ c ,y′ c , i) obtained in step 3, when the absolute difference between the gray value of the neighborhood pixel and the central pixel gray value g c is i all The sum of q D (g c ,i): 式中Σ表示集合{sg,i|(·)}中满足给定条件(·)的所有sg,I之和,&&表示逻辑与运算;In the formula, Σ represents the sum of all s g, I in the set {s g, i |( )} satisfying the given condition ( ), && represents the logical AND operation; 将qD(gc,i)作为矩阵QD(g,i)在位置(g=gc,i)处的元素,获得一个Mg×Mg的改进邻域灰度相关矩阵QD(g,i)。Taking q D (g c , i) as the element of the matrix Q D (g, i) at the position ( g = g c , i), an improved neighborhood gray level correlation matrix Q D ( g, i). 6.根据权利要求5所述的浮选泡沫图像的复合纹理特征提取方法,其特征在于,所述步骤五计算一种新的复合纹理特征具体为:6. the composite texture feature extraction method of flotation froth image according to claim 5, is characterized in that, described step 5 calculates a kind of new composite texture feature to be specially: 根据改进的邻域灰度相关矩阵,定义一种新的二次统计特征,即复合纹理特征CT为:According to the improved neighborhood gray-level correlation matrix, a new secondary statistical feature, that is, the composite texture feature CT is defined as: CC TT == &Sigma;&Sigma; gg == 00 Mm gg -- 11 gg 22 (( &Sigma;&Sigma; ii == 00 Mm gg -- 11 QQ DD. (( gg ,, ii )) )) &Sigma;&Sigma; gg == 00 Mm gg -- 11 &Sigma;&Sigma; ii == 00 Mm gg -- 11 &lsqb;&lsqb; (( ii ++ 11 )) 22 QQ DD. (( gg ,, ii )) &rsqb;&rsqb; ..
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Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108647722A (en) * 2018-05-11 2018-10-12 中南大学 A kind of zinc ore grade flexible measurement method of Kernel-based methods size characteristic
CN109580618A (en) * 2018-11-23 2019-04-05 鞍钢集团矿业有限公司 A method of floating product grade is judged based on foam color
CN110728677A (en) * 2019-07-22 2020-01-24 中南大学 Texture roughness defining method based on sliding window algorithm
CN110728253A (en) * 2019-07-22 2020-01-24 中南大学 A Texture Feature Measurement Method Based on Grain Roughness
CN110738674A (en) * 2019-07-22 2020-01-31 中南大学 A texture feature measurement method based on particle density

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103559496A (en) * 2013-11-15 2014-02-05 中南大学 Extraction method for multi-scale multi-direction textural features of froth images
CN103632156A (en) * 2013-12-23 2014-03-12 中南大学 Multi-scale neighboring dependence matrix-based method for extracting froth image texture characteristics
WO2014068478A3 (en) * 2012-10-29 2014-09-12 Blue Cube Intellectual Property Company (Pty) Ltd. Provision of data on the froth in a froth flotation plant

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2014068478A3 (en) * 2012-10-29 2014-09-12 Blue Cube Intellectual Property Company (Pty) Ltd. Provision of data on the froth in a froth flotation plant
CN103559496A (en) * 2013-11-15 2014-02-05 中南大学 Extraction method for multi-scale multi-direction textural features of froth images
CN103632156A (en) * 2013-12-23 2014-03-12 中南大学 Multi-scale neighboring dependence matrix-based method for extracting froth image texture characteristics

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
LIN ZHAO ET AL.: "Fault Condition Recognition Based on Multi-scale Texture Features and Embedding Prior Knowledge K-means for Antimony Process", 《IFAC-PAPERSONLINE》 *
刘文礼 等: "煤泥浮选泡沫图像纹理特征的提取及泡沫状态的识别", 《化工学报》 *
桂卫华 等: "一种新的浮选泡沫图像纹理特征提取方法", 《中国科技论文》 *

Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108647722A (en) * 2018-05-11 2018-10-12 中南大学 A kind of zinc ore grade flexible measurement method of Kernel-based methods size characteristic
CN108647722B (en) * 2018-05-11 2021-11-23 中南大学 Zinc ore grade soft measurement method based on process size characteristics
CN109580618A (en) * 2018-11-23 2019-04-05 鞍钢集团矿业有限公司 A method of floating product grade is judged based on foam color
CN110728677A (en) * 2019-07-22 2020-01-24 中南大学 Texture roughness defining method based on sliding window algorithm
CN110728253A (en) * 2019-07-22 2020-01-24 中南大学 A Texture Feature Measurement Method Based on Grain Roughness
CN110738674A (en) * 2019-07-22 2020-01-31 中南大学 A texture feature measurement method based on particle density
CN110738674B (en) * 2019-07-22 2021-03-02 中南大学 Texture feature measurement method based on particle density
CN110728253B (en) * 2019-07-22 2021-03-02 中南大学 A Texture Feature Measurement Method Based on Grain Roughness
CN110728677B (en) * 2019-07-22 2021-04-02 中南大学 A Texture Roughness Definition Method Based on Sliding Window Algorithm

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