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Automatic recognition method pf mathematical formula in image

A mathematical formula and automatic recognition technology, applied in character and pattern recognition, instruments, computer parts, etc.

Inactive Publication Date: 2008-12-24
NANKAI UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0014] The purpose of the present invention is to solve the problem of automatic identification and understanding of mathematical formulas in existing images, and to provide an automatic identification method for mathematical formulas in images

Method used

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  • Automatic recognition method pf mathematical formula in image
  • Automatic recognition method pf mathematical formula in image
  • Automatic recognition method pf mathematical formula in image

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0148] With the formula v=clog 10 (1+|u|) as an example, apply the processing method of the above model, the specific implementation process is as follows Figure 9 Shown:

[0149] 1. Automatic positioning of formulas.

[0150] The first step is to divide the input document image into regions and filter out the charts;

[0151] The second step is to perform row segmentation for each region to obtain the formula v=clog 10 (1+|u|) row elements;

[0152] The third step is to determine the feature vector of the row elements. Since the formula v=clog 10 (1+|u|) has a larger line height, upper and lower spacing, and left and right indentation, and has a two-dimensional structure and special mathematical symbols, which conform to the characteristics of independent line formulas. Therefore, is positioned as a separate row of mathematical formulas;

[0153] 2. Mathematical character recognition.

[0154] The first step is to segment the connected bodies in the mathematical form...

Embodiment 2

[0189] by formula x = - b ± b 2 - 4 ac 2 a For example, the processing process and results are as attached Figure 10 As shown, the process is similar to Example 1:

[0190] 1. Automatic positioning of formulas.

[0191] The first step is to divide the input document image into regions and filter out the charts;

[0192] In the second step, each area is divided into rows to obtain the formula x = - b ± b 2 - 4 ac 2 a row element;

[0193] The third s...

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Abstract

The invention relates to an automatic recognition method of a mathematical formula in an image, which comprises the steps that: a syntactic structure model of the mathematical formula is built, and a bottom knowledge base of the mathematical formula is built; the location of the mathematical formula in the image, the recognition of a mathematical symbol, the analysis and comprehension of a mathematical formula structure and the expression and formatted output of the mathematical formula structure are carried out. The automatic recognition method designs a complete set of method and model for solving the recognition and comprehension difficulties of an off-line mathematical formula image and forms a method for automatically processing the mathematical formula image in the whole process. The method can realize the automatic judgment and extraction of an individual-line / embedded mathematical formula in an image, thereby meeting the application requirements of the automatic inputting of the mathematical formula image and the comprehension and format recurrence of the mathematical formula structure. The method can be combined with the existing normal text OCR system to form a document image processing system with more complete functions and also can support the research on expression processing methods in other fields, such as automatic processing aiming at chemical equations, etc.

Description

【Technical field】: [0001] The invention belongs to the technical field of computer image recognition and processing, in particular to the recognition and processing of mathematical formulas in images. 【Background technique】: [0002] The automatic recognition and understanding of mathematical formulas in images is a world-class problem in the field of document image processing and pattern recognition. Mathematical formula is a very complex document structure, which widely exists in various literature books and technical materials. Due to the ambiguity of mathematical symbols and the variability of mathematical formula structures, it is difficult for mathematical formulas to be automatically processed by computers and widely disseminated on the Internet. A large number of mathematical formulas are still stored in the form of images, which greatly reduces the mathematical The efficiency of domain knowledge sharing and information retrieval has also created huge obstacles for ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06K9/20G06K9/46G06K9/62
Inventor 史广顺肖萃
Owner NANKAI UNIV
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