KR101568841B1 - Method and system for process output of calculation in accordance with a equation recognition - Google Patents

Abstract

The present invention relates to a method and a system for outputting a calculation process in accordance with equation recognition, recognizing an equation noted down on a touch screen and outputting a calculation process of the recognized equation along with a graph. The method includes the following steps: storing a calculation process; receiving an equation from a user; outputting the inputted equation to an interface unit; determining whether or not the equation is solvable; applying the calculation process to the equation if the equation is solvable; generating the calculation process and a graph of the equation and outputting the calculation process and the graph to the interface unit; and outputting the calculation process and the graph of the equation through a display unit.

Description

TECHNICAL FIELD [0001] The present invention relates to a method and system for solving a mathematical expression,

The present invention relates to a solving process output method and system according to mathematical formula recognition, and more particularly to a mathematical formula recognizing method and a mathematical mathematical expression recognition method for recognizing handwritten equations on a touch screen, And a method of outputting the process.

Electronic calculators, which are used to calculate numerical expressions together with various operators and obtain desired results quickly and accurately, have recently been incorporated into computers and mobile terminals.

However, a complex formula, especially a scientific calculator that requires various operators, requires dozens of buttons, and the input method is too complicated and takes a long time to input in the complex calculations of various operators. In addition, since the conventional electronic calculator provides a keypad-type interface and a keypad of a different arrangement for each manufacturer, the user has to input and search for a button necessary for complicated formulas, and it is necessary to appropriately set the size of the button and the interval between the buttons There was also a limit to the size of the electronic calculator to do so.

In order to overcome such a size limitation, a conventional commercial scientific calculator has a separate function switching button, and a method of inputting a desired formula by a user in combination with a button for inputting a number and an operator is adopted. However, It is troublesome to select a desired function.

Such a formula input method is not a user-centered, machine-oriented interface. In order to input a formula, the user has to take the inconvenience of clicking the button after thinking about the input sequence and checking the formula to be outputted.

Accordingly, techniques for recognizing handwritten formulas on a touch screen-based device, which has been actively popularized recently, have been developed, and in particular, applied to a training site using an electronic board, Physics, and so on, teachers were spending a lot of time writing formulas and drawing graphs, so there was a demand to solve problems that did not spend more time in understanding the problem and constructing the formula.

Korean Registered Patent No. 10-09067589 (2009.07.09 Announcement)

SUMMARY OF THE INVENTION The present invention has been made in order to solve the above problems, and it is an object of the present invention to provide a method and apparatus for recognizing a mathematical symbol input by hand on a touch- And a solution output method and system according to a mathematical expression recognition that can automatically draw a graph.

In order to achieve the above object, the present invention provides a solving process output method according to the mathematical expression recognition of the present invention, which is performed by a solving process output system according to a mathematical formula recognition having a touch screen based interface unit, A step of converting the solving process according to the type of the database into a database; Receiving a mathematical expression through handwriting from a user on an interface part; Recognizing an input mathematical expression through a handwriting and outputting the mathematical expression to the interface unit; Analyzing the textualized mathematical expressions, classifying the mathematical expressions according to the types, and determining whether solving is possible; If the classified mathematical expression can be solved and the equation is solved, substituting the solving process according to the type from the database; Generating a graph together with a solution and an answer of the equation and outputting the graph to an interface; .

Outputting a non-readable signal to the interface unit when the classified mathematical expression can not be solved, and receiving a straight line of a zigzag shape so as to overlap the mathematical expression output to the interface unit; Deleting the mathematical expression superimposed on the continuous line on the interface part; .

And outputting the solving process, the answer and the graph of the equation to the designated device and outputting the solved result through the display unit; As shown in FIG.

In order to achieve the above object, a solving process output system according to the present invention is characterized by including a database storing a solving process according to a type of an equation; A touch screen-based interface unit for inputting a mathematical expression through handwriting from a user and outputting a display signal; A recognition unit for recognizing and textizing the mathematical expression inputted through the interface unit; A determiner for analyzing the textualized mathematical expression and classifying the mathematical expression according to the type, determining whether the mathematical expression is solvable, and outputting a signal that can not be solved through the interface; A solver for generating a solving process and an answer by assigning a solving process according to a type from a database when the mathematical expression classified through the determining unit is solvable and in the case of an equation; A graph creating unit for creating a graph of the equation; A control unit for outputting the graph through the interface unit, a textual formula through the recognition unit, a solving process and answer generated through the solving unit, and a graph for outputting the graph through the interface unit. .

A modifying unit for deleting the superimposed mathematical expression when a straight line of a zigzag shape is input so as to overlap the mathematical expression output to the interface unit; A sharing unit for transmitting a solution of the equation, an answer, and a graph to a designated device and outputting the solution through a display unit of the device; .

Through the present invention, it is possible to improve the visibility and the readability by converting the mathematical expressions represented by the handwritten expressions into more clear texts in particular in various educational fields, and by automatically drawing the solving processes and graphs of complex mathematical problems, It is possible to improve the quality.

In addition, it can replace the existing engineering calculator which requires complicated usage method and a troublesome keypad input according to each manufacturer, so that the user can quickly input the formula and obtain the result in the touch screen based device.

FIG. 1 is a flowchart of a solver process output method according to an embodiment of the present invention,
FIG. 2 is a flowchart illustrating a solving process output method according to another embodiment of the present invention,
FIG. 3 is a block diagram illustrating a configuration and a connection relationship according to a preferred embodiment of a solver process output system according to the present invention.

Hereinafter, a solution output method and system according to the present invention will be described in detail with reference to the accompanying drawings.

FIG. 1 is a flowchart illustrating a solving process output method according to a preferred embodiment of the present invention. FIG. 1 is a flowchart illustrating a solving process output method according to an embodiment of the present invention. Based on a solving process output system according to a mathematical expression recognition.

In addition to the electronic blackboard, the system includes a touch screen as input / output means such as a smart phone or a smart pad, and includes a device capable of processing and calculating graphic signals, and additionally has a data transmission / reception function.

First, in a first step (S 110), a solving process according to the type of an equation is converted into a database. The present invention not only displays the functions of a conventional calculator that simply calculates mathematical expressions to obtain answers, but also automatically displays the solving process and graphs while clearly displaying the handwriting of the educator at the time of teaching various dynamics such as mathematics or physics. And improve the efficiency of education.

In the case of simple arithmetic functions, it is possible to provide the function of outputting only the answers of the solution process. In the case of the equation including the unknown (variables) in particular, the solution does not understand the process, It is not possible to make education by memorizing formulas etc. Therefore, it is necessary to build up a database by storing the types and characteristics of equations and their solutions according to the curriculum. At this time, a function having the same form as the equation can be handled. The equation can include all kinds of equations belonging to a curriculum such as a first order or higher order differential equation, a one-way equation, a binary equation, a simultaneous equation, And the type and type of solution.

Next, the second step (S 120) is a step of inputting the mathematical expression through the handwriting from the user on the interface part. The mathematical expression according to the education is inputted through the touch pen or the equivalent means and the educator's finger Receive. The mathematical expression entered in this case basically consists of numerals, operators, variables for the variables, and includes equal signs.

The third step S 130 is a step of recognizing the mathematical expression inputted through handwriting and outputting the mathematical expression into the textual interface and outputting the mathematical expression inputted through handwriting through the recognition algorithm typified by the optical character reading method, And converted and output. For example, the operator written in the form of a handwritten character on the interface, numbers and characters are compared with pre-stored operators, numbers and characters, and the corresponding operators are recognized as numbers and characters.

In addition to solving mathematical expressions through recognized operators, numbers, and characters, it is also possible for the trainee to clearly express the mathematical expressions, even if the input formulas are somewhat distorted according to the characteristics of the educator, Convenience to be recognized.

The fourth step S 140 is a step of analyzing the textualized mathematical expression, classifying it according to the type, and determining whether or not the solving is possible. As mentioned above, the linear equations, the identity equations, the binary linear equations, The type of equations input into the interface unit such as a linear equation, an algebraic first inequality, a quadratic equation, a quadratic equation, a cubic equation, a quadratic equation, an inequality equation, an inverse equilibrium equation, And judges whether or not it is possible to solve.

If the equation can not be solved, for example, an equation that does not hold the equation even if any value is substituted into the unknown, or the value of the unknown that satisfies the given equation, that is, the solution of the equation is infinitely large Similarly, there is a case called "indefinite".

In the fifth step (S 150), if the classified mathematical expression can be solved and the equation is solved, the solving process according to the type is called up from the database and the mathematical expression is searched from the database, The process is called and the operators, numbers and letters belonging to the equation are assigned.

The sixth step (S 160) generates a graph together with the solution of the equation and the answer, and outputs the graph to the interface unit. In other words, the equation can be solved by treating the equation in parentheses with binary or parentheses, or by making a polynomial equation by multiplying the least common multiple of both sides by a fractional equation, The concrete process is output stepwise to the equation type. Preferably, the explanatory contents according to each process are formed into a database together and output through this step, thereby helping the student to understand.

In addition, by creating a graph corresponding to the equation and outputting it together with a basic description of the graph, an educator can reduce the effort of directly drawing a graph of the equation on the existing board, .

FIG. 2 is a flow chart according to another embodiment of the solving process output method according to the present invention. In another embodiment, when an erasing is necessary due to reasons such as the impossibility of correcting or solving an inputted mathematical expression, A procedure for deleting expressions and sharing the solution of mathematical expressions to other devices in the educational field using the network is added. In the following description, a detailed description of the same components as those of the preferred embodiment of the solution output method according to the present invention will be omitted.

According to another embodiment of the present invention, after analyzing the textual mathematical expression and classifying the mathematical expression according to the type and determining whether solving is possible (S 140), if the classified mathematical expression can not be solved, (S151) of receiving a straight line of a zigzag shape so as to overlap the mathematical expression output to the interface unit.

As a preferable example, it is possible to output a mark such as a question mark to a mathematical expression which is input as a non-solvable signal so that the user can recognize that the solving of the equation is impossible, or to output the unexplained reason such as the above mentioned inequality or disability.

In the case of the electronic whiteboard, the erroneous formula is deleted through a separate delete menu. In the present invention, the input means, i.e., a touch pen or a finger, etc., A step (S 152) of deleting the mathematical expression superimposed on the continuous line on the interface part by an intuitive gesture for inputting a continuous zigzag straight line reminiscent of the eraser is performed. This makes it easier and easier to delete and modify mathematical expressions, and unnecessary work such as switching menus can be ruled out.

Next, a step of generating a graph together with a solving process and an answer of the equation and outputting the graph to the interface unit (S 160), a step of transmitting the solving process and the answer and the graph of the equation to the designated device and outputting through the display unit S 170) is added. This means that the device having the touch screen interface unit owned by the educator is made through a communication module utilizing a short-range wireless communication such as Wi-Fi or Bluetooth or a wired cable according to the distance from the designated device.

The present invention can extend the range of education through the present invention. It is possible for the educator to input the mathematical expression directly on the electronic board as the main interface unit and to perform the above-described processing on the electronic board, In order to output the results obtained through the smart pads through the device possessed by the trainee or to input the mathematical expression through the smart pad possessed by the educator as needed, Quot;

FIG. 3 is a block diagram illustrating a configuration and a connection relationship according to a preferred embodiment of the solver process output system according to the present invention. Referring to FIGS. 1 and 2, And a duplicate description will not be described in detail.

As described above, the real-time contents sharing system of the present invention basically includes a database 110, an interface unit 120, a recognition unit 130, a determination unit 140, a solution unit 150, And a control unit 190. The control unit 190 further includes a correction unit 170 and a sharing unit 180 as a preferred embodiment.

The database 110 stores the solving process according to the type of the equation. As described above, the database 110 stores the characteristics of the equation and the solving process according to the training process.

The interface unit 120 is an input / output means for inputting a mathematical expression through handwriting from a user and outputting a display signal. In the present invention, the interface unit 120 is configured based on various types of touch screens such as an electronic blackboard. In such an interface unit 120, the educator inputs the mathematical expression according to the curriculum through the touch pen or the equivalent means, and in some cases, the finger of the educator.

The recognition unit 130 recognizes the mathematical expression inputted through the interface unit 120 and recognizes the mathematical expression and texts the mathematical expression. The recognition unit 130 is configured to recognize the mathematical expression inputted through the character recognition algorithm represented by the optical character reading system The mathematical expressions are clearly converted into text and output through the interface unit. In addition to solving mathematical expressions through recognized operators, numbers, and characters, it is also possible to clearly recognize mathematical expressions by allowing the trainee to clearly recognize mathematical expressions even if the input formulas are skewed depending on the characteristics of the educator, Convenience is provided.

The determination unit 140 analyzes the textual expression, classifies it according to the type, determines whether or not it is possible to solve, and outputs a signal that can not be solved through the interface unit.

As mentioned before, there are various kinds of equations such as linear equations, identity equations, binary linear equations, linear inequalities, linear equations, algebraic inequalities, quadratic equations, quadratic inequalities, cubic equations, quadratic equations, equilibrium equations, Among the types of equations, the type of equations input into the interface unit and classified into the textual equations is classified according to the criteria set by the determining unit, and it is determined whether or not the equations can be solved.

At this time, if the classified mathematical expression can not be solved, a non-readable signal is output to the interface unit. As a preferable example, a notation such as a question mark is outputted to a mathematical expression which is inputted as a non-solvable signal, so that the user can recognize that the solving of the equation is impossible, or the soliciting such as the aforementioned inequality or inability is outputted together.

In the case where the mathematical expressions classified through the determination unit 140 are solvable and the equations are solved, the solving unit 150 invokes the solving process according to the type from the database 110 to generate a solution and an answer And the graph creating unit 160 creates a graph of the equation.

 That is, the type of the solvable equation is first retrieved from the database 110, and then the solving process of the equation of the corresponding type is called, and the operator, number, and letter belonging to the equation are substituted.

In addition, it is possible to treat equations that can be resolved with binomial or parentheses. In the case of fractional equations, the polynomial equations are multiplied by the least common multiple of both denominators. The concrete process of extracting is stepwise outputted to the equation type. Preferably, the explanation contents according to each process are formed into a database together and outputted through this step, thereby helping the understanding of the trainee.

In addition, by creating a graph corresponding to the equation and outputting it together with a basic explanation, it is possible to reduce the effort of the educator to directly draw a graph of the equation on the existing board, as well as to create an accurate graph.

The control unit 190 includes a database 110, an interface unit 120, a recognition unit 130, a determination unit 140, a solver 150, a graph creation unit 160, And an MCU for controlling the sharing unit 180. In particular, a mathematical expression that is textized through the recognition unit 130, a solving process generated through the solving unit 150, And controls the output of the graph created through the graph creating unit 160 through the interface unit 120.

The correction unit 170 is configured to easily delete an intuitive gesture when deletion is necessary due to reasons such as impossibility of correction or solving the input mathematical expression. When a continuous straight line of shape is input, the superimposed mathematical expression is deleted.

The sharing unit 180 is configured to share a solution of a mathematical expression in another device at a training site using a network. The sharing unit 180 transmits a solving process, an answer and a graph of the equation to a designated device 200, The display unit 150 of FIG.

The sharing unit 180 is configured by applying an appropriate communication module according to the distance between the device having the touch screen interface unit and the other device designated by the educator. A communication module such as Bluetooth can be used. Preferably, the communication module is connectable to the Internet network. Thus, data transmission / reception is performed through a device having a Wi-Fi communication module and an Internet network. You can spread it.

It is to be understood that the invention is not limited to the disclosed embodiment, but is capable of many modifications and variations within the scope of the appended claims. It is self-evident.

110: Database 120: Interface Unit
130: recognition unit 140:
150: solving unit 160: graph preparing unit
170: Correction unit 180: Shared part
190: control unit 200:
210:

Claims (5)

A solving process output method according to a mathematical expression recognition process performed by a solving process output system according to a mathematical expression recognition having a touch screen based interface unit,
(S 110) storing a solution process according to the type of the equation in accordance with a training process to form a database;
A step (S 120) of inputting a mathematical expression through handwriting from a user on an interface part;
Recognizing the input mathematical expression through a handwriting and outputting the mathematical expression to the interface unit (S 130);
Analyzing the textualized mathematical expression, classifying it according to the type, and determining whether solving is possible (S 140);
If the classified mathematical expression can be solved and the equation is solved, substituting the solving process according to the type from the database (S 150);
A step S 151 of outputting a non-readable signal to the interface unit when the sorted mathematical expression can not be solved, and receiving a straight line of a zigzag shape so as to overlap the mathematical expression output to the interface unit;
Deleting (S 152) the mathematical expression superimposed on the continuous straight line on the interface part;
(S 160) generating a graph together with a solution process and an answer of the equation and outputting the graph to an interface unit;
(S 170) transmitting a solution process of the equation, an answer, and a graph to a designated device and outputting the solution through a display unit; The method according to claim 1, further comprising:
delete delete A solving process output system according to mathematical expression recognition,
A database 110 in which a solving process according to a type of an equation is stored according to a curriculum;
A touch-screen-based interface unit 120 for receiving a mathematical expression from a user through handwriting and outputting a display signal;
A recognition unit 130 for recognizing and textizing the mathematical expression inputted through the interface unit 120;
A determination unit 140 for analyzing the textual expression and classifying the expression according to the type, determining whether the expression can be solved, and outputting a signal that can not be solved through the interface unit 120;
A solver 150 for solving the mathematical expressions sorted by the determiner 140 and substituting the solvation process according to the type from the database 110 to generate a solving process and an answer if the solver is an equation;
A graph generating unit 160 for generating a graph of the equation;
A modifier 170 for deleting the superimposed mathematical expression when a straight line of a zigzag shape is input so as to overlap the mathematical expression output to the interface unit 120;
A sharing unit 180 for transmitting the solution of the equation and the answer and the graph to the designated device 200 and outputting the solution through the display unit 210 of the device 200;
A control unit 190 for outputting the mathematical expression through the recognition unit 130, a solving process and an answer generated through the solving unit 150, and the graph through the interface unit 120; And a solver for outputting the solver output signal. delete

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