CN106650696B - method for identifying handwritten electrical element symbol based on singular value decomposition - Google Patents

method for identifying handwritten electrical element symbol based on singular value decomposition Download PDF

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CN106650696B
CN106650696B CN201611257061.1A CN201611257061A CN106650696B CN 106650696 B CN106650696 B CN 106650696B CN 201611257061 A CN201611257061 A CN 201611257061A CN 106650696 B CN106650696 B CN 106650696B
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贲晛烨
贾希彤
孟昭勇
庞建华
任亿
张鑫
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Shandong University
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    • G06V30/00Character recognition; Recognising digital ink; Document-oriented image-based pattern recognition
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    • G06V30/32Digital ink
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Abstract

A handwritten electric element symbol recognition method based on singular value decomposition comprises training and testing, wherein the training comprises the steps of carrying out binarization and denoising processing on an electric power engineering drawing, and cutting and standardizing elements and handwritten electric element symbols; training a singular value decomposition model by using a singular value decomposition idea; the testing includes cutting and standardizing the hand-written electrical element symbols; and identifying the elements through a trained singular value decomposition model. The characteristic extraction in the invention is to link the handwriting electric element with the standard electric element according to the related thought of singular value decomposition, and the characteristic extraction is favorable for the characteristic recognition of the handwriting electric element; and classifying the samples by adopting a nearest neighbor classifier, and judging the accuracy of the identification method.

Description

Method for identifying handwritten electrical element symbol based on singular value decomposition
Technical Field
the invention relates to a handwritten electrical element symbol recognition method based on singular value decomposition, and belongs to the technical field of machine learning and pattern recognition.
background
With the continuous development of computer technology and the continuous enhancement of the computing processing capacity of computers, computers have been applied to many fields. In the aspect of electrical engineering, with the development of technology and the progress of times, drawing an electrical engineering drawing by using a computer is inevitable, however, a large number of hand-drawing drawings still exist in the existing electrical engineering drawing, if elements in the hand-drawing drawings are manually input into the computer, the input cost is greatly increased, and the time consumption is huge. Meanwhile, once the personnel entry is wrong, the influence on a project cannot be estimated due to the huge and fine workload. Therefore, the identification of the electrical elements in the electric engineering drawing is a necessary topic, which is beneficial to improving the efficiency of inputting the hand-drawn drawing into a computer, plays a promoting role in the automation of the electric engineering drawing, and lays a foundation for data statistics, data mining analysis and the like of relevant units such as a power grid, a research institute and the like.
Singular value decomposition is an important matrix decomposition process in the field of linear algebra, is popularization of unitary diagonalization of a normal matrix in matrix analysis, and has important application in the fields of digital signal processing, data statistics and the like. The singular value decomposition is similar in some respects to the diagonalization of symmetric or Hermite matrices based on eigenvectors, however, the two matrix decompositions are significantly different despite their correlation. The basis of the symmetric array eigenvector decomposition is spectral analysis, and the singular value decomposition is the popularization of the spectral analysis theory on any matrix. In the field of machine learning and pattern recognition, singular value decomposition is often applied to training of a sample set, and dimension reduction is performed on sample features, so that more important features are extracted, and classification recognition is promoted.
disclosure of Invention
Aiming at the defects in the prior art, the invention provides a handwritten electrical element symbol recognition method based on singular value decomposition. According to the method, the handwritten electric element symbols are recognized by machine learning and mode recognition related knowledge and the idea of singular value decomposition, so that the handwritten electric power engineering drawing is effectively utilized, the automation efficiency of the electric power engineering drawing is improved, and related work is facilitated to be carried out later.
Summary of the invention:
A handwritten electric element symbol recognition method based on singular value decomposition comprises four steps of image preprocessing, element standardization, feature extraction and element classification. The image preprocessing is mainly to preprocess the image through operations such as relevant knowledge of digital image processing, filtering and the like, eliminate redundant information in a researched object and standardize the form and the characteristics of the image; the element standardization is to unify the size, format and other characteristics of the element to be identified according to a certain standard and prepare for the subsequent identification and classification process; the characteristic extraction is to link the handwriting electric element with the standard electric element according to the related thought of singular value decomposition to extract the characteristic, thereby being beneficial to the characteristic identification of the handwriting electric element; and in the element classification process, a nearest neighbor classifier is adopted to classify the samples, and the accuracy of the identification method is judged.
the technical scheme of the invention is as follows:
A handwritten electric element symbol recognition method based on singular value decomposition comprises a training part and a testing part; the training part comprises the following steps:
1-1) carrying out binarization and denoising treatment on the electric power engineering drawing;
1-2) cutting and standardizing the elements and the handwritten electric element symbols in the image processed in the step 1-1);
1-3) training a singular value decomposition model by using a singular value decomposition idea;
The test part comprises the following steps:
2-1) cutting and standardizing the handwritten electrical element symbols;
2-2) identifying the element processed in the step 2-1) through a trained singular value decomposition model.
According to a preferred embodiment of the present invention, in the step 1-1), the binarization processing method includes: the method comprises the steps of performing square-evolution operation on the third dimension of a handwriting element image and an electric power engineering image to reduce a three-dimensional matrix to a two-dimensional gray image matrix, and then converting the two-dimensional gray image matrix into a matrix with only 0 and 1 by selecting a proper threshold (for a person skilled in the art, the selection of the threshold is generally experience adjustment and can be realized according to the prior art); for the electric element, the color information and the gray information belong to redundant information in identification, and meanwhile, a scanned graph of the handwriting electric element has certain redundant information due to the relation of scanning environments, so that the handwriting element image and the electric power engineering image are subjected to binarization processing in a preprocessing stage;
The denoising processing method comprises the following steps: and filtering the binarized matrix through Gaussian filtering and mean filtering for resisting pepper noise, thereby effectively removing noise interference. Due to the influence of the scanning environment of the original image and the selected threshold value during binarization, noise inevitably occurs in the binarization matrix, namely some wrong pixel points are introduced, so that the denoising processing is introduced, and the image preprocessing process is finished.
Preferably, according to the present invention, in step 1-1), the method further comprises: and carrying out inversion operation on the matrix after binarization. Because the sensitivity of human eyes to white pixel points is higher than that of black pixel points, the matrix after binarization is subjected to inversion operation, so that element information can be observed by human eyes more easily.
preferably, in step 1-2), the method for cutting and standardizing includes selecting the gravity centers of the handwriting component and the electrical engineering component as the center of the standardized image, correspondingly enlarging and reducing the original image, and standardizing the graphic specification to 100 × 100, that is, each component is guaranteed to be square, the side length is 100 pixels, and the total number of 10000 pixels is total. The purpose of the element standardization process is to match the size and specification of the image of the handwriting element and the size and specification of the element image of the power engineering diagram, so as to prepare for the subsequent singular value decomposition and achieve the standardization effect. The center of gravity as described herein is the geometric center of the element.
preferably, the method for training the singular value decomposition model by using the concept of singular value decomposition in the step 1-3) comprises the following steps:
Our goal is to train a singular value decomposition model, so, assuming that the handwritten electrical element is a probe sample and the electrical engineering drawing element is a galery sample, during the model training process, assume Xm、Ymis a feature of dimension m, wherein Xmfor the original characteristics of the elements of the power scheme, YmOriginal characteristics of the handwriting electric element; the probe sample and the galery sample are different from each other, the singular value decomposition combines the probe sample and the galery sample through a certain means, and the galery sample and the probe sample are combined together to form a training sample so as to achieve the purpose of connecting the two samples; assuming that there are N samples for the galery sample and the probe sample, respectively, the training matrix is assumed as follows:
Wherein each row in the matrix represents a feature and each column represents a number of samples of the feature; the features of the training matrix M, the galery samples and the probe samples are projected to a common subspace;
With the idea of singular value decomposition, the training matrix M will be decomposed into three matrices as follows:
Whereinfor the concatenated features in the common subspace, d represents the feature dimension of each sample,is a diagonal matrix, representing the singular values of the M matrix,The orthonormal basis of the subspace is represented.
U includes two different features, which are independent of each other, and is decomposed as follows:
wherein R isxAnd Ryrespectively representing galery and probe sample characteristic sub-matrixes, namely an electric power process diagram element characteristic sub-matrix and a hand-written electric element characteristic sub-matrix;
suppose x represents the galery feature, i.e., the electric power diagram element feature, and y represents the probe feature, i.e., the hand-written electric element feature:
let K be SVT,kmis the m-th row vector of K, then a point λ on the subspace is represented as
then the electrical engineering drawing element characteristics will be projected to the space of the hand-written electrical element characteristics through point lambda, as follows,
And after the training of the singular value decomposition model is finished, two different features are projected into a common space, so that a good basis is provided for subsequent classification.
According to the invention, the method for cutting and standardizing the hand-written electric element symbols in the step 2-1) comprises the following steps: selecting the gravity center of a handwriting element as the center of a standardized image, correspondingly amplifying and reducing the original image, and standardizing the pattern specification to 100 x 100, namely ensuring that each element pattern is square, the side length is 100 pixels, and the total number of 10000 pixel points is total. The center of gravity as described herein is the geometric center of the element.
According to the present invention, preferably, the method for identifying the element processed in step 2-1) in step 2-2) through the trained singular value decomposition model is as follows:
given a galery sample seti.e. a sample set of electrical engineering drawing element features, passing through sample xicalculating a point λ to obtain a pointThe handwritten electrical component characteristic is the probe sample characteristicis classified as follows by the following categories,
πiwherein
wherein piiis a class label for the sample.
The invention has the beneficial effects that:
a handwritten electric element symbol recognition method based on singular value decomposition comprises training and testing, wherein the training comprises the steps of carrying out binarization and denoising processing on an electric power engineering drawing, and cutting and standardizing elements and handwritten electric element symbols; training a singular value decomposition model by using a singular value decomposition idea; the testing includes cutting and standardizing the hand-written electrical element symbols; and identifying the elements through a trained singular value decomposition model. The image preprocessing is mainly to preprocess the image through operations such as relevant knowledge of digital image processing, filtering and the like, eliminate redundant information in a researched object and standardize the form and the characteristics of the image; the element standardization is to unify the size, format and other characteristics of the element to be identified according to a certain standard and prepare for the subsequent identification and classification process; the characteristic extraction is to link the handwriting electric element with the standard electric element according to the related thought of singular value decomposition to extract the characteristic, thereby being beneficial to the characteristic identification of the handwriting electric element; and in the element classification process, a nearest neighbor classifier is adopted to classify the samples, and the accuracy of the identification method is judged. The method provided by the invention detects and identifies the handwritten electric element by using the thought of singular value decomposition through methods such as machine learning, mode identification and the like, is favorable for effectively utilizing the handwritten electric power engineering drawing, improves the automation efficiency of the electric power engineering drawing, and is favorable for developing related work later.
drawings
FIG. 1 is a flow chart of a method of the present invention;
FIG. 2 is a schematic diagram of the power process described in the present invention;
FIG. 3 is a schematic diagram of a hand-written electrical component.
Detailed Description
the invention is described in detail below with reference to the following examples and the accompanying drawings of the specification, but is not limited thereto.
as shown in fig. 1-3.
Examples of the following,
A handwritten electric element symbol recognition method based on singular value decomposition comprises a training part and a testing part; the training part comprises the following steps:
1-1) carrying out binarization and denoising treatment on the electric power engineering drawing;
in the step 1-1), the binarization processing method comprises the following steps: performing square-evolution operation on the third dimension of the handwriting element image and the power engineering image to reduce the three-dimensional matrix to a two-dimensional gray image matrix, and converting the two-dimensional gray image matrix into a matrix with only 0 and 1;
The denoising processing method comprises the following steps: filtering the binarized matrix through Gaussian filtering and mean filtering for resisting pepper noise, and effectively removing noise interference;
In step 1-1), the method further comprises: carrying out inversion operation on the binarized matrix;
1-2) cutting and standardizing the elements and the handwritten electric element symbols in the image processed in the step 1-1);
in the step 1-2), the cutting and standardizing method comprises the steps of selecting the gravity centers of the handwriting element and the electrical engineering element as the centers of standardized images, correspondingly amplifying and reducing the original images, and standardizing the graphic specification to 100 x 100, namely ensuring that each element is square in graphic, the side length is 100 pixels, and the total number of 10000 pixel points is total;
1-3) training a singular value decomposition model by using a singular value decomposition idea;
in step 1-3), the specific method for training the singular value decomposition model by using the singular value decomposition idea comprises the following steps:
During model training, assume Xm、Ymis a feature of dimension m, wherein XmFor the original characteristics of the elements of the power scheme, YmOriginal characteristics of the handwriting electric element; assuming that there are N samples for the galery sample and the probe sample, respectively, the training matrix is assumed as follows:
wherein each row in the matrix represents a feature and each column represents a number of samples of the feature; the features of the training matrix M, the galery samples and the probe samples are projected to a common subspace;
With the idea of singular value decomposition, the training matrix M will be decomposed into three matrices as follows:
Whereinfor the concatenated features in the common subspace, d represents the feature dimension of each sample,Is a diagonal matrix, representing the singular values of the M matrix,the orthonormal basis of the subspace is represented.
u includes two different features, which are independent of each other, and is decomposed as follows:
wherein R isxand Ryrespectively representing galery and probe sample characteristic sub-matrixes, namely an electric power process diagram element characteristic sub-matrix and a hand-written electric element characteristic sub-matrix;
suppose x represents the galery feature, i.e., the electric power diagram element feature, and y represents the probe feature, i.e., the hand-written electric element feature:
Let K be SVT,kmIs the m-th row vector of K, then a point λ on the subspace is represented as
Then the electrical engineering drawing element characteristics will be projected to the space of the hand-written electrical element characteristics through point lambda, as follows,
The test part comprises the following steps:
2-1) cutting and standardizing the handwritten electrical element symbols;
In the step 2-1), the method for cutting and standardizing the hand-written electric element symbol comprises the following steps: selecting the gravity center of a handwriting element as the center of a standardized image, correspondingly amplifying and reducing the original image, and standardizing the pattern specification to 100 x 100, namely ensuring that each element pattern is square, the side length is 100 pixels, and the total number of 10000 pixel points is obtained;
2-2) identifying the element processed in the step 2-1) through a trained singular value decomposition model;
In the step 2-2), the method for identifying the element processed in the step 2-1) through the trained singular value decomposition model is as follows:
Given a galery sample setI.e. a sample set of electrical engineering drawing element features, passing through sample xiCalculating a point λ to obtain a pointThe handwritten electrical component characteristic is the probe sample characteristicis classified as follows by the following categories,
πiWherein
whereinπiIs a class label for the sample.

Claims (3)

1. a handwritten electric element symbol recognition method based on singular value decomposition is characterized by comprising a training part and a testing part; the training part comprises the following steps:
1-1) carrying out binarization and denoising treatment on the electric power engineering drawing;
1-2) cutting and standardizing the elements and the handwritten electric element symbols in the image processed in the step 1-1);
1-3) training a singular value decomposition model by using a singular value decomposition idea;
The test part comprises the following steps:
2-1) cutting and standardizing the handwritten electrical element symbols;
2-2) identifying the element processed in the step 2-1) through a trained singular value decomposition model;
in the step 1-1), the binarization processing method comprises the following steps: performing square-evolution operation on the third dimension of the handwriting element image and the power engineering image to reduce the three-dimensional matrix to a two-dimensional gray image matrix, and converting the two-dimensional gray image matrix into a matrix with only 0 and 1;
the denoising processing method comprises the following steps: filtering the binarized matrix through Gaussian filtering and mean filtering for resisting pepper noise, and effectively removing noise interference;
in step 1-1), the method further comprises: carrying out inversion operation on the binarized matrix;
In the step 1-2), the cutting and standardizing method comprises the steps of selecting the gravity centers of the handwriting element and the electrical engineering element as the centers of standardized images, correspondingly amplifying and reducing the original images, and standardizing the graphic specification to 100 x 100, namely ensuring that each element is square in graphic, the side length is 100 pixels, and the total number of 10000 pixel points is total;
the specific method for training the singular value decomposition model by using the singular value decomposition idea in the step 1-3) comprises the following steps:
during model training, assume Xm、Ymis a feature of dimension m, wherein XmFor the original characteristics of the elements of the power scheme, Ymoriginal characteristics of the handwriting electric element; assuming that there are N samples for the galery sample and the probe sample, respectively, the training matrix is assumed as follows:
Wherein each row in the matrix represents a feature and each column represents a number of samples of the feature; the features of the training matrix M, the galery samples and the probe samples are projected to a common subspace;
with the idea of singular value decomposition, the training matrix M will be decomposed into three matrices as follows:
whereinFor the concatenated features in the common subspace, d represents the feature dimension of each sample,is a diagonal matrix, representing the singular values of the M matrix,The orthonormal basis of the subspace is represented;
u includes two different features, which are independent of each other, and is decomposed as follows:
Wherein R isxAnd Ryrespectively representing the sublattices of characteristics of the galery and probe samples, i.e. the power worker respectivelya program element characteristic sub-matrix and a handwriting electric element characteristic sub-matrix;
Suppose x represents the galery feature, i.e., the electric power diagram element feature, and y represents the probe feature, i.e., the hand-written electric element feature:
Let K be SVT,kmis the m-th row vector of K, then a point λ on the subspace is represented as
then the electrical engineering drawing element characteristics will be projected to the space of the hand-written electrical element characteristics through point lambda, as follows,
2. The singular value decomposition-based handwritten electrical component symbol recognition method according to claim 1, wherein said method for cutting and normalizing handwritten electrical component symbols in step 2-1) comprises: selecting the gravity center of a handwriting element as the center of a standardized image, correspondingly amplifying and reducing the original image, and standardizing the pattern specification to 100 x 100, namely ensuring that each element pattern is square, the side length is 100 pixels, and the total number of 10000 pixel points is total.
3. the method for recognizing handwritten electric element symbols based on singular value decomposition as claimed in claim 2, wherein said step 2-2) is to recognize the element processed in step 2-1) through a trained singular value decomposition model as follows:
given a galery sample seti.e. a sample set of electrical engineering drawing element features, passing through sample xiCalculating a point λ to obtain a pointThe handwritten electrical component characteristic is the probe sample characteristicis classified as follows by the following categories,
πiWherein
Wherein piiIs a class label for the sample.
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