CN110111396A - Image drawing method, equipment, storage medium and the device of cylindrical equation - Google Patents
Image drawing method, equipment, storage medium and the device of cylindrical equation Download PDFInfo
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- CN110111396A CN110111396A CN201910395854.7A CN201910395854A CN110111396A CN 110111396 A CN110111396 A CN 110111396A CN 201910395854 A CN201910395854 A CN 201910395854A CN 110111396 A CN110111396 A CN 110111396A
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- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T11/00—2D [Two Dimensional] image generation
- G06T11/20—Drawing from basic elements, e.g. lines or circles
- G06T11/206—Drawing of charts or graphs
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Abstract
The invention discloses a kind of image drawing method of cylindrical equation, equipment, storage medium and devices, which comprises by obtaining to rendering equation, and constant term and the corresponding target polynomial of each equation variable is intercepted to rendering equation；The normal equation for meeting preset format will be converted to rendering equation according to constant term and target polynomial；The index and coefficient of each equation variable in normal equation are obtained, and identifies the current equation type of the normal equation according to the index of each equation variable and coefficient；The changing coordinates calculation formula of the normal equation is searched according to current equation type, and the corresponding cylindrical picture of the normal equation is drawn according to the changing coordinates calculation formula.The present embodiment meets the normal equation of preset format by being converted to rendering equation, identifies that any cylindrical equation conveniently and efficiently can be plotted as cylindrical picture to reduce the drawing difficulty of cylindrical equation by current equation type according to the normal equation.
Description
Technical field
The present invention relates to field of computer technology more particularly to a kind of image drawing methods of cylindrical equation, equipment, storage
Medium and device.
Background technique
Cylinder includes the three types such as elliptic cylinder, hyperbolic cylinder and parabolic cylinder, in the drafting of practical cylindrical image
Cheng Zhong, user must be known by input to the corresponding cylinder type of rendering equation, otherwise can not just select accordingly draw dress
It sets and draws, if user only knows that the corresponding figure of rendering equation be cylinder, but do not know specifically any cylinder
When, then it undoubtedly needs to put forward higher requirements to cylinder plotting unit, the drawing difficulty of cylindrical equation is caused to increase.Therefore, such as
The drawing difficulty what reduces cylindrical equation is a technical problem to be solved urgently.
Above content is only used to facilitate the understanding of the technical scheme, and is not represented and is recognized that above content is existing skill
Art.
Summary of the invention
The main purpose of the present invention is to provide a kind of image drawing method of cylindrical equation, equipment, storage medium and dresses
It sets, it is intended to solve the technical issues of how reducing the drawing difficulty of cylindrical equation in the prior art.
To achieve the above object, the present invention provides a kind of image drawing method of cylindrical equation, and the method includes following
Step:
Obtain to rendering equation, and from it is described in rendering equation intercept constant term and the corresponding target of each equation variable it is more
Item formula；
Described be converted to rendering equation is met into the mark of preset format according to the constant term and the target polynomial
Quasi- equation；
The index and coefficient of each equation variable in the normal equation are obtained, and according to the index and coefficient of each equation variable
Identify the current equation type of the normal equation；
The changing coordinates calculation formula of the normal equation is searched according to the current equation type, and according to described current
Coordinate calculation formula draws the corresponding cylindrical picture of the normal equation.
Preferably, the current equation type is in parabolic cylindrical equation, elliptic cylinder equation and hyperbolic cylinder equation
Any one；
Correspondingly, the index and coefficient for obtaining each equation variable in the normal equation, and according to each equation variable
Index and coefficient identify the current equation type of the normal equation, specifically include:
Obtain the index and coefficient of each equation variable in the normal equation；
Identify whether the normal equation belongs to the parabolic cylindrical equation according to the index of each equation variable；
If the normal equation is not belonging to the parabolic cylindrical equation, the mark is identified according to the coefficient of each equation variable
Whether quasi- equation belongs to the elliptic cylinder equation；
If the normal equation is not belonging to the elliptic cylinder equation, assert that the normal equation belongs to the hyperbolic cylinder
Face equation.
Preferably, described to identify whether the normal equation belongs to the parabolic cylinder side according to the index of each equation variable
Journey specifically includes:
If the index of each equation variable is respectively one and two, assert that the normal equation belongs to the parabolic cylinder side
Journey；
If the index of each equation variable is two, assert that the normal equation is not belonging to the parabolic cylindrical equation.
Preferably, if the normal equation is not belonging to the parabolic cylindrical equation, what it is according to each equation variable is
Number identifies whether the normal equation belongs to the elliptic cylinder equation, specifically includes:
If the normal equation is not belonging to the parabolic cylindrical equation, judge that the positive negativity of the coefficient of each equation variable is
It is no identical；
If the positive negativity of the coefficient of each equation variable is identical, assert that the normal equation belongs to the elliptic cylinder side
Journey；
If the coefficient of each equation variable positive negativity on the contrary, if assert that the normal equation is not belonging to the elliptic cylinder side
Journey.
Preferably, the equation variable includes the first variable and the second variable, and the target polynomial includes first multinomial
Formula and the second multinomial；
Correspondingly, described to obtain to rendering equation, and from described to intercept constant term and each equation variable in rendering equation
Corresponding target polynomial, specifically includes:
It obtains to rendering equation, and from described to intercept corresponding first multinomial of first variable in rendering equation；
Using after interception to rendering equation as the first equation, and second variable pair is intercepted from first equation
The second multinomial answered；
Using the first equation after interception as second equation, and constant term is intercepted from the second equation.
Preferably, the changing coordinates calculation formula that the normal equation is searched according to the current equation type, and
The corresponding cylindrical picture of the normal equation is drawn according to the changing coordinates calculation formula, is specifically included:
It is calculated in default mapping table according to the changing coordinates that the current equation type searches the normal equation
Formula includes the corresponding relationship between equation type and coordinate calculation formula in the default mapping table；
The corresponding cylindrical picture of the normal equation is drawn according to the changing coordinates calculation formula.
Preferably, described that the corresponding cylindrical picture of the normal equation, tool are drawn according to the changing coordinates calculation formula
Body includes:
Multiple coordinate of ground point of the normal equation are calculated according to the changing coordinates calculation formula；
The corresponding cylindrical picture of the normal equation is drawn according to the coordinate of ground point.
In addition, to achieve the above object, the present invention also provides a kind of image drawing device, described image rendering apparatus packets
It includes: memory, processor and being stored in the image of the cylindrical equation that can be run on the memory and on the processor and draw
Processing procedure sequence, the image drawing program of the cylindrical equation realize the figure of cylindrical equation as described above when being executed by the processor
As the step of method for drafting.
In addition, to achieve the above object, the present invention also provides a kind of storage medium, being stored with cylinder on the storage medium
Graph of equation realizes cylinder as described above as drawing program, the image drawing program of the cylindrical equation when being executed by processor
Graph of equation is as the step of method for drafting.
In addition, to achieve the above object, the present invention also provides a kind of image plotting device of cylindrical equation, the cylinder side
The image plotting device of journey includes:
Equation obtains module, for obtaining to rendering equation, and from described to intercept constant term and each side in rendering equation
The corresponding target polynomial of Cheng Bianliang；
Equation generation module, for being converted to described to rendering equation according to the constant term and the target polynomial
Meet the normal equation of preset format；
Type identification module, for obtaining the index and coefficient of each equation variable in the normal equation, and according to each side
The index and coefficient of Cheng Bianliang identifies the current equation type of the normal equation；
Image Rendering module, the changing coordinates for obtaining the normal equation according to the current equation type calculate public
Formula, and the corresponding cylindrical picture of the normal equation is drawn according to the changing coordinates calculation formula.
In the present invention, by obtaining to rendering equation, and from described to intercept constant term and each equation in rendering equation
The corresponding target polynomial of variable；Described be converted to rendering equation is met according to the constant term and the target polynomial
The normal equation of preset format；The index and coefficient of each equation variable in the normal equation are obtained, and according to each equation variable
Index and coefficient identify the current equation type of the normal equation；The standard side is searched according to the current equation type
The changing coordinates calculation formula of journey, and the corresponding cylinder figure of the normal equation is drawn according to the changing coordinates calculation formula
Picture.The present invention meets the normal equation of preset format by being converted to rendering equation, identifies current equation according to the normal equation
Type realizes any cylindrical equation being plotted as cylindrical picture, reduce simultaneously to reduce the drawing difficulty of cylindrical equation
The operation difficulty of user.
Detailed description of the invention
Fig. 1 is the image drawing device structural schematic diagram for the hardware running environment that the embodiment of the present invention is related to；
Fig. 2 is the flow diagram of the image drawing method first embodiment of cylindrical equation of the present invention；
Fig. 3 is the flow diagram of the image drawing method second embodiment of cylindrical equation of the present invention；
Fig. 4 is the flow diagram of the image drawing method 3rd embodiment of cylindrical equation of the present invention；
Fig. 5 is the parabolic cylinder image schematic diagram of one embodiment of image drawing method of cylindrical equation of the present invention；
Fig. 6 is the hyperbolic cylinder image schematic diagram of one embodiment of image drawing method of cylindrical equation of the present invention；
Fig. 7 is the functional block diagram of the image plotting device first embodiment of cylindrical equation of the present invention.
The embodiments will be further described with reference to the accompanying drawings for the realization, the function and the advantages of the object of the present invention.
Specific embodiment
It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, it is not intended to limit the present invention.
Referring to Fig.1, Fig. 1 is the image drawing device structural representation for the hardware running environment that the embodiment of the present invention is related to
Figure.
As shown in Figure 1, described image rendering apparatus may include: processor 1001, such as CPU, communication bus 1002 is used
Family interface 1003, network interface 1004, memory 1005.Wherein, communication bus 1002 is for realizing the company between these components
Connect letter.User interface 1003 may include display screen (Display), and optional user interface 1003 can also include having for standard
Line interface, wireless interface.Network interface 1004 optionally may include that (such as WI-FI connects standard wireline interface and wireless interface
Mouthful).Memory 1005 can be high speed RAM memory, be also possible to stable memory (non-volatile memory),
Such as magnetic disk storage.Memory 1005 optionally can also be the storage device independently of aforementioned processor 1001.
It will be understood by those skilled in the art that structure shown in Fig. 1 does not constitute the limit to described image rendering apparatus
It is fixed, it may include perhaps combining certain components or different component layouts than illustrating more or fewer components.
As shown in Figure 1, as may include operating system, network communication mould in a kind of memory 1005 of storage medium
The image drawing program of block, Subscriber Interface Module SIM and cylindrical equation.
In image drawing device shown in Fig. 1, network interface 1004 is mainly used for connecting background server, after described
Platform server carries out data communication；User interface 1003 is mainly used for connecting peripheral hardware；Described image rendering apparatus passes through processor
The image drawing program of the cylindrical equation stored in 1001 calling memories 1005, and execute cylinder provided in an embodiment of the present invention
Graph of equation is as method for drafting.
Described image rendering apparatus calls the image of the cylindrical equation stored in memory 1005 to draw by processor 1001
Processing procedure sequence, and execute following operation:
Obtain to rendering equation, and from it is described in rendering equation intercept constant term and the corresponding target of each equation variable it is more
Item formula；
Described be converted to rendering equation is met into the mark of preset format according to the constant term and the target polynomial
Quasi- equation；
The index and coefficient of each equation variable in the normal equation are obtained, and according to the index and coefficient of each equation variable
Identify the current equation type of the normal equation；
The changing coordinates calculation formula of the normal equation is searched according to the current equation type, and according to described current
Coordinate calculation formula draws the corresponding cylindrical picture of the normal equation.
Further, the current equation type is in parabolic cylindrical equation, elliptic cylinder equation and hyperbolic cylinder equation
Any one；Processor 1001 can call the image drawing program of the cylindrical equation stored in memory 1005, also execute with
Lower operation:
Obtain the index and coefficient of each equation variable in the normal equation；
Identify whether the normal equation belongs to the parabolic cylindrical equation according to the index of each equation variable；
If the normal equation is not belonging to the parabolic cylindrical equation, the mark is identified according to the coefficient of each equation variable
Whether quasi- equation belongs to the elliptic cylinder equation；
If the normal equation is not belonging to the elliptic cylinder equation, assert that the normal equation belongs to the hyperbolic cylinder
Face equation.
Further, processor 1001 can call the image drawing program of the cylindrical equation stored in memory 1005,
Also execute following operation:
If the index of each equation variable is respectively one and two, assert that the normal equation belongs to the parabolic cylinder side
Journey；
If the index of each equation variable is two, assert that the normal equation is not belonging to the parabolic cylindrical equation.
Further, processor 1001 can call the image drawing program of the cylindrical equation stored in memory 1005,
Also execute following operation:
If the normal equation is not belonging to the parabolic cylindrical equation, judge that the positive negativity of the coefficient of each equation variable is
It is no identical；
If the positive negativity of the coefficient of each equation variable is identical, assert that the normal equation belongs to the elliptic cylinder side
Journey；
If the coefficient of each equation variable positive negativity on the contrary, if assert that the normal equation is not belonging to the elliptic cylinder side
Journey.
Further, the equation variable includes the first variable and the second variable, and the target polynomial includes more than first
Item formula and the second multinomial；Processor 1001 can call the image drawing program of the cylindrical equation stored in memory 1005,
Also execute following operation:
It obtains to rendering equation, and from described to intercept corresponding first multinomial of first variable in rendering equation；
Using after interception to rendering equation as the first equation, and second variable pair is intercepted from first equation
The second multinomial answered；
Using the first equation after interception as second equation, and constant term is intercepted from the second equation.
Further, processor 1001 can call the image drawing program of the cylindrical equation stored in memory 1005,
Also execute following operation:
It is calculated in default mapping table according to the changing coordinates that the current equation type searches the normal equation
Formula includes the corresponding relationship between equation type and coordinate calculation formula in the default mapping table；
The corresponding cylindrical picture of the normal equation is drawn according to the changing coordinates calculation formula.
Further, processor 1001 can call the image drawing program of the cylindrical equation stored in memory 1005,
Also execute following operation:
Multiple coordinate of ground point of the normal equation are calculated according to the changing coordinates calculation formula；
The corresponding cylindrical picture of the normal equation is drawn according to the coordinate of ground point.
In the present embodiment, by obtaining to rendering equation, and from described to intercept constant term and each side in rendering equation
The corresponding target polynomial of Cheng Bianliang；Symbol is converted to rendering equation by described according to the constant term and the target polynomial
Close the normal equation of preset format；The index and coefficient of each equation variable in the normal equation are obtained, and is become according to each equation
The index and coefficient of amount identify the current equation type of the normal equation；The standard is searched according to the current equation type
The changing coordinates calculation formula of equation, and the corresponding cylinder figure of the normal equation is drawn according to the changing coordinates calculation formula
Picture.The present embodiment meets the normal equation of preset format by being converted to rendering equation, works as front according to normal equation identification
Journey type realizes any cylindrical equation being plotted as cylindrical picture, reduce to reduce the drawing difficulty of cylindrical equation
The operation difficulty of user.
Based on above-mentioned hardware configuration, the embodiment of the image drawing method of cylindrical equation of the present invention is proposed.
It is the flow diagram of the image drawing method first embodiment of cylindrical equation of the present invention referring to Fig. 2, Fig. 2.
In the first embodiment, the cylindrical equation image drawing method the following steps are included:
Step S10: obtaining to rendering equation, and corresponds to from described to intercept constant term and each equation variable in rendering equation
Target polynomial.
It should be noted that the executing subject of the present embodiment is image drawing device, described image rendering apparatus be can be
PC, tablet computer or other electronic equipments, the present embodiment are without restriction to this.The application scenarios of the present embodiment are to use
Family is inputted by described image rendering apparatus to rendering equation, and described image rendering apparatus will identify the class to rendering equation
Type, and Image Rendering is carried out to rendering equation to described according to the type to rendering equation.It is described to rendering equation be use
The family equation currently entered for needing to carry out Image Rendering, described to rendering equation includes several equation variables and constant term.
It is understood that user's input to rendering equation can be the first orders of several equation variables, quadratic term and
Any combination of constant term, so as to cause the equation type for waiting for rendering equation is difficult to.Therefore, for the ease of identification
The first order to each equation variable in rendering equation and quadratic term are combined into the party by the type to rendering equation
The target polynomial of Cheng Bianliang, to be divided into constant term to rendering equation and the corresponding target of each equation variable is multinomial for described
The parts such as formula subsequent carry out format conversion to rendering equation to described according to the constant term and the target polynomial to provide
Foundation.
In the concrete realization, if to rendering equation are as follows: 3Z2-2X2- 12Z-4X=9, wherein X, Z are respectively described wait draw
The first order of variable X and quadratic term are combined to obtain -2 (X-1) by the equation variable of equation2, by the first order of variable Z and
Quadratic term is combined to obtain 3 (Z-2)2, surplus constant item is 19, therefore is to be truncated to constant term in rendering equation from described
19, the target polynomial of variable X is -2 (X-1)2, the target polynomial of variable Z is 3 (Z-2)2。
Step S20: according to the constant term and the target polynomial by it is described be converted to rendering equation meet it is default
The normal equation of format.
It is understood that normal equation includes following 9 kinds of preset formats:
(1)a1(X-X0)2a2+b1(Y-Y0)2b2+ d=0；
(2)a1(X-X0)2a2+c1(Z-Z0)2c2+ d=0；
(3)b1(Y-Y0)2b2+c1(Z-Z0)2c2+ d=0；
(4)a1(X-X0)2a2+b1(Y-Y0)b2=0；
(5)b1(Y-Y0)2b2+a1(X-X0)a2=0；
(6)a1(X-X0)2a2+c1(Z-Z0)c2=0；
(7)c1(Z-Z0)2c2+a1(X-X0)a2=0；
(8)b1(Y-Y0)2b2+c1(Z-Z0)c2=0；
(9)c1(Z-Z0)2c2+b1(Y-Y0)b2=0.
Wherein, X, Y and Z are respectively equation variable, a1、a2、b1、b2、c1And c2The respectively coefficient of X, Y and Z, d, X0、Y0With
Z0For constant.
It, will be to institute after obtaining the constant term in rendering equation and the corresponding target polynomial of each equation variable
It states constant term and the target polynomial is combined, obtain the normal equation for meeting preset format.For example, if to rendering equation
Are as follows: 3Z2-2X2The first order of variable X and quadratic term are combined to obtain -2 (X-1) by -12Z-4X=92, by the primary of variable Z
Item and quadratic term are combined to obtain 3 (Z-2)2, surplus constant item is 19, therefore from described to be truncated to constant in rendering equation
Item is 19, and the target polynomial of variable X is -2 (X-1)2, the target polynomial of variable Z is 3 (Z-2)2, then should turn to rendering equation
Normal equation after changing are as follows: 3 (Z-2)2-2(X-1)2=19.
Step S30: the index and coefficient of each equation variable in the normal equation are obtained, and according to the finger of each equation variable
Several and coefficient identifies the current equation type of the normal equation.
It should be noted that equation type is determined by the index and coefficient of equation variable, therefore, the present embodiment will acquire institute
The index and coefficient of each equation variable in normal equation are stated, and the standard side is identified according to the index of each equation variable and coefficient
The current equation type of journey.
In the concrete realization, the corresponding relationship between index, coefficient and equation type is obtained, and according to the index, coefficient
Corresponding relationship between equation type establishes Type mapping relation table, searches the standard in the Type mapping relation table
The index of each equation variable and the corresponding current equation type of coefficient in equation.
Step S40: searching the changing coordinates calculation formula of the normal equation according to the current equation type, and according to
The changing coordinates calculation formula draws the corresponding cylindrical picture of the normal equation.
It is understood that after the current equation type for identifying the normal equation, it will be according to the current equation
Type and the normal equation carry out cylindrical picture drafting.In drawing process, according to the current equation type lookup
The changing coordinates calculation formula of normal equation, and the coordinate of the normal equation is calculated according to the changing coordinates calculation formula,
The cylindrical picture of the normal equation is drawn in preset coordinate system according to calculated coordinate.Since the normal equation is by institute
It states and is converted to rendering equation, therefore, the cylindrical picture is equivalent to the cylindrical picture to rendering equation, to realize
It rapidly and accurately treats rendering equation and carries out cylindrical picture drafting.
In the present embodiment, by obtaining to rendering equation, and from described to intercept constant term and each side in rendering equation
The corresponding target polynomial of Cheng Bianliang；Symbol is converted to rendering equation by described according to the constant term and the target polynomial
Close the normal equation of preset format；The index and coefficient of each equation variable in the normal equation are obtained, and is become according to each equation
The index and coefficient of amount identify the current equation type of the normal equation；The standard is searched according to the current equation type
The changing coordinates calculation formula of equation, and the corresponding cylinder figure of the normal equation is drawn according to the changing coordinates calculation formula
Picture.The present embodiment meets the normal equation of preset format by being converted to rendering equation, works as front according to normal equation identification
Journey type realizes any cylindrical equation being plotted as cylindrical picture, reduce to reduce the drawing difficulty of cylindrical equation
The operation difficulty of user.
Referring to Fig. 3, Fig. 3 is the flow diagram of the image drawing method second embodiment of cylindrical equation of the present invention, is based on
Above-mentioned embodiment shown in Fig. 2 proposes the second embodiment of the image drawing method of cylindrical equation of the present invention.
In a second embodiment, the current equation type is parabolic cylindrical equation, elliptic cylinder equation and hyperbolic cylinder
Any one of equation；
Correspondingly, the step S30, specifically includes:
Step S301: the index and coefficient of each equation variable in the normal equation are obtained.
It should be noted that equation type is determined by the index and coefficient of equation variable, therefore, the present embodiment will acquire institute
The index and coefficient of each equation variable in normal equation are stated, and the standard side is identified according to the index of each equation variable and coefficient
The current equation type of journey.
Step S302: identify whether the normal equation belongs to the parabolic cylinder side according to the index of each equation variable
Journey.
It is understood that the present embodiment discussed is quadric cylinder equation, the quadric cylinder side to rendering equation
Journey includes: parabolic cylindrical equation, elliptic cylinder equation and hyperbolic cylinder equation three types.By elliptic cylinder equation and hyperbolic cylinder
Face equation is collectively referred to as non-parabolic cylindrical equation, and the difference of parabolic cylindrical equation and non-parabolic cylindrical equation is: parabolic cylinder side
The index of the equation variable of journey is respectively one and two, rather than the index of the equation variable of parabolic cylindrical equation is two, therefore, will
Identify whether the normal equation belongs to the parabolic cylindrical equation according to the most high-order term index of each equation variable.
In the present embodiment, the step S302, specifically includes: if the index of each equation variable is respectively one and two,
Assert that the normal equation belongs to the parabolic cylindrical equation；If the index of each equation variable is two, the standard is assert
Equation is not belonging to the parabolic cylindrical equation.
Step S303: if the normal equation is not belonging to the parabolic cylindrical equation, according to the coefficient of each equation variable
Identify whether the normal equation belongs to the elliptic cylinder equation.
It should be noted that if the normal equation is not belonging to the parabolic cylindrical equation, then the normal equation belongs to
Elliptic cylinder equation or hyperbolic cylinder equation, elliptic cylinder equation and the difference of hyperbolic cylinder equation are: elliptic cylinder side
The positive negativity of coefficient of the equation variable of journey is identical, and therefore the positive negativity of coefficient of the equation variable of hyperbolic cylinder equation is on the contrary, incite somebody to action
Identify whether the normal equation belongs to the elliptic cylinder equation according to the coefficient of each equation variable.
In the present embodiment, the step S303, specifically includes: if the normal equation is not belonging to the parabolic cylinder side
Journey then judges whether the positive negativity of the coefficient of each equation variable is identical；If the positive negativity of the coefficient of each equation variable is identical, recognize
The fixed normal equation belongs to the elliptic cylinder equation；If the coefficient of each equation variable positive negativity on the contrary, if assert described in
Normal equation is not belonging to the elliptic cylinder equation.
Step S304: if the normal equation is not belonging to the elliptic cylinder equation, assert that the normal equation belongs to
The hyperbolic cylinder equation.
It is understood that the normal equation belongs to if the normal equation is not belonging to the parabolic cylindrical equation
Elliptic cylinder equation or hyperbolic cylinder equation, at this point, assert if the normal equation is not belonging to the elliptic cylinder equation
The normal equation belongs to the hyperbolic cylinder equation.
In the present embodiment, identify that the normal equation belongs to throwing by the index of equation variable each in the normal equation
Object cylindrical equation or non-parabolic cylindrical equation are become when the normal equation belongs to non-parabolic cylindrical equation by each equation
The coefficient of amount identifies that the normal equation belongs to elliptic cylinder equation or hyperbolic cylinder equation, improves the classification of normal equation
Accuracy.
Referring to Fig. 4, Fig. 4 is the flow diagram of the image drawing method 3rd embodiment of cylindrical equation of the present invention, is based on
Above-mentioned second embodiment shown in Fig. 3 proposes the 3rd embodiment of the image drawing method of cylindrical equation of the present invention.
In the third embodiment, the equation variable includes the first variable and the second variable, and the target polynomial includes
First multinomial and the second multinomial；The step S10, specifically includes:
It obtains to rendering equation, and from described to intercept corresponding first multinomial of first variable in rendering equation.
Using after interception to rendering equation as the first equation, and second variable pair is intercepted from first equation
The second multinomial answered.
Using the first equation after interception as second equation, and constant term is intercepted from the second equation.
It should be noted that rendering equation as S described in setting:
a1(X-X0)CXa2+b1(Y-Y0)CYb2+c1(Z-Z0)CZc2+ d=0；
Wherein, CX, CY and CZ are respectively the index of equation variable X, Y and the corresponding most high-order term of Z.
In the concrete realization, the index for counting each equation highest time item, according to the constant term and the target polynomial
By it is described be converted to rendering equation meet the normal equation of preset format process it is as follows:
(1) if CX=CY=2, CZ=0 and d ≠ 0, then the conversion process of equation is as follows:
1) a is isolated from S1(X-X0)2a2；
2) S=S-a is enabled1(X-X0)2a2；
3) b is isolated from S1(Y-Y0)2b2；
4) S=S-b is enabled1(Y-Y0)2b2；
5) d is isolated from S；
6) normal equation a is obtained1(X-X0)2a2+b1(Y-Y0)2b2+ d=0.
(2) if CX=CZ=2, CY=0 and d ≠ 0, then the conversion process of equation is as follows:
1) a is isolated from S1(X-X0)2a2；
2) S=S-a is enabled1(X-X0)2a2；
3) c is isolated from S1(Z-Z0)2c2；
4) S=S-c is enabled1(Z-Z0)2c2；
5) d is isolated from S；
6) normal equation a is obtained1(X-X0)2a2+c1(Z-Z0)2c2+ d=0.
(3) if CY=CZ=2, CX=0 and d ≠ 0, then the conversion process of equation is as follows:
1) b is isolated from S1(Y-Y0)2b2；
2) S=S-b is enabled1(Y-Y0)2b2；
3) c is isolated from S1(Z-Z0)2c2；
4) S=S-c is enabled1(Z-Z0)2c2；
5) d is isolated from S；
6) normal equation b is obtained1(Y-Y0)2b2+c1(Z-Z0)2c2+ d=0.
(4) if CX=2, CY=1, CZ=0 and d=0, then the conversion process of equation is as follows:
1) a is isolated from S1(X-X0)2a2；
2) S=S-a is enabled1(X-X0)2a2；
3) b is isolated from S1(Y-Y0)b2；
4) S=S-b is enabled1(Y-Y0)b2；
5) normal equation a is obtained1(X-X0)2a2+b1(Y-Y0)b2=0.
(5) if CX=1, CY=2, CZ=0 and d=0, then the conversion process of equation is as follows:
1) b is isolated from S1(Y-Y0)2b2；
2) S=S-b is enabled1(Y-Y0)2b2；
3) a is isolated from S1(X-X0)a2；
4) S=S-a is enabled1(X-X0)a2；
5) normal equation b is obtained1(Y-Y0)2b2+a1(X-X0)a2=0.
(6) if CX=2, CZ=1, CY=0 and d=0, then the conversion process of equation is as follows:
1) a is isolated from S1(X-X0)2a2；
2) S=S-a is enabled1(X-X0)2a2；
3) c is isolated from S1(Z-Z0)c2；
4) S=S-c is enabled1(Z-Z0)c2；
5) normal equation a is obtained1(X-X0)2a2+c1(Z-Z0)c2=0.
(7) if CX=1, CZ=2, CY=0 and d=0, then the conversion process of equation is as follows:
1) c is isolated from S1(Z-Z0)2c2；
2) S=S-c is enabled1(Z-Z0)2c2；
3) a is isolated from S1(X-X0)a2；
4) S=S-a is enabled1(X-X0)a2；
5) normal equation c is obtained1(Z-Z0)2c2+a1(X-X0)a2=0.
(8) if CY=2, CZ=1, CX=0 and d=0, then the conversion process of equation is as follows:
1) b is isolated from S1(Y-Y0)2b2；
2) S=S-b is enabled1(Y-Y0)2b2；
3) c is isolated from S1(Z-Z0)c2；
4) S=S-c is enabled1(Z-Z0)c2；
5) normal equation b is obtained1(Y-Y0)2b2+c1(Z-Z0)c2=0.
(9) if CY=1, CZ=2, CX=0 and d=0, then the conversion process of equation is as follows:
1) c is isolated from S1(Z-Z0)2c2；
2) S=S-c is enabled1(Z-Z0)2c2；
3) b is isolated from S1(Y-Y0)b2；
4) S=S-b is enabled1(Y-Y0)b2；
5) normal equation c is obtained1(Z-Z0)2c2+b1(Y-Y0)b2=0.
Further, the step S40, specifically includes:
Step S401: the current of the normal equation is searched according to the current equation type in default mapping table
Coordinate calculation formula；
Step S402: the corresponding cylindrical picture of the normal equation is drawn according to the changing coordinates calculation formula.
It is understood that after the current equation type for identifying the normal equation, it will be according to the current equation
Type and the normal equation carry out cylindrical picture drafting.It include that equation type and coordinate calculate in the default mapping table
Corresponding relationship between formula searches institute according to the current equation type in default mapping table in drawing process
The changing coordinates calculation formula of normal equation is stated, and calculates the seat of the normal equation according to the changing coordinates calculation formula
Mark, the cylindrical picture of the normal equation is drawn according to calculated coordinate in preset coordinate system.
In the concrete realization, a=a is enabled1a2, b=b1b2, c=c1c2, then the expression formula of above-mentioned 9 kinds of normal equations are as follows:
(1)a(X-X0)2+b(Y-Y0)2+ d=0；
(2)a(X-X0)2+c(Z-Z0)2+ d=0；
(3)b(Y-Y0)2+c(Z-Z0)2+ d=0；
(4)a(X-X0)2+b(Y-Y0)=0；
(5)b(Y-Y0)2+a(X-X0)=0；
(6)a(X-X0)2+c(Z-Z0)=0；
(7)c(Z-Z0)2+a(X-X0)=0；
(8)b(Y-Y0)2+c(Z-Z0)=0；
(9)c(Z-Z0)2+b(Y-Y0)=0.
The process for searching the changing coordinates calculation formula of the normal equation according to the current equation type is as follows:
(1) if CX=CY=2, CZ=0, then equation type is further identified according to the coefficient of the normal equation:
If 1) ad < 0, bd < 0 then means that described to rendering equation is elliptic cylinder equation, changing coordinates calculation formula
Are as follows:
Wherein, u ∈ [0,2 π], V ∈ (- ∞ ,+∞)；
If 2) ad < 0, bd > 0, then mean that described to rendering equation is hyperbolic cylinder equation, changing coordinates calculation formula
Are as follows:
Wherein, u ∈ [0,2 π], V ∈ (- ∞ ,+∞)；
If 3) ad > 0, bd < 0 then means that described to rendering equation is hyperbolic cylinder equation, changing coordinates calculation formula
Are as follows:
Wherein, u ∈ [0,2 π], V ∈ (- ∞ ,+∞)；
(2) if CX=CZ=2, CY=0, changing coordinates calculation formula is similar with above-mentioned (1) kind situation at this time, this reality
It applies example and this is repeated no more.
(3) if CY=CZ=2, CX=0, changing coordinates calculation formula is similar with above-mentioned (1) kind situation at this time, this reality
It applies example and this is repeated no more.
(4) if CX=2, CY=1, CZ=0, d=0, then equation is further identified according to the coefficient of the normal equation
Type:
If 1) ab < 0, mean that described to rendering equation is parabolic cylindrical equation, changing coordinates calculation formula are as follows:
Wherein, u ∈ (- ∞ ,+∞), V ∈ (- ∞ ,+∞)；
If 2) ab > 0, mean that described to rendering equation is not parabolic cylindrical equation.
(5) if CX=1, CY=2, CZ=0, d=0, situation class is planted in changing coordinates calculation formula and above-mentioned (4) at this time
Seemingly, the present embodiment repeats no more this.
(6) if CX=2, CZ=1, CY=0, d=0, situation class is planted in changing coordinates calculation formula and above-mentioned (4) at this time
Seemingly, the present embodiment repeats no more this.
(7) if CX=1, CZ=2, CY=0, d=0, situation class is planted in changing coordinates calculation formula and above-mentioned (4) at this time
Seemingly, the present embodiment repeats no more this.
(8) if CZ=1, CY=2, CX=0, d=0, situation class is planted in changing coordinates calculation formula and above-mentioned (4) at this time
Seemingly, the present embodiment repeats no more this.
(9) if CY=1, CZ=2, CX=0, d=0, situation class is planted in changing coordinates calculation formula and above-mentioned (4) at this time
Seemingly, the present embodiment repeats no more this.
Further, the step S402, specifically includes:
Multiple coordinate of ground point of the normal equation are calculated according to the changing coordinates calculation formula；
The corresponding cylindrical picture of the normal equation is drawn according to the coordinate of ground point.
In the present embodiment, constant term can accurately be obtained and the corresponding target of each equation variable is more by repeatedly intercepting
Item formula, to improve the transfer efficiency of equation.The corresponding changing coordinates of current equation type are searched according to default mapping table
Calculation formula improves the search efficiency of coordinate calculation formula, to calculate multiple targets according to the current coordinate calculation formula
Coordinate is drawn draw a little according to coordinates of targets to realize and rapidly and accurately treat rendering equation progress cylindrical picture
System.
Further, one embodiment of image drawing method of cylindrical equation of the present invention is proposed.
The present embodiment with to rendering equation be 5 (y+1)/6=3 (z+2)2/ 5 are illustrated, and specific drawing course is as follows:
(1) from 5 (y+1)/6=3 (z+2)2- 3 (z+2) are intercepted in/52/5；
(2) 5 (y+1)/6 are intercepted from 5 (y+1)/6=；
(3) normal equation -3 (z+2) is obtained2/5+5(y+1)/6-0；
(4) b=5/6, c=-3/5；
(5) bc < 0, then changing coordinates calculation formula are as follows:
Wherein, u ∈ (- ∞ ,+∞), V ∈ (- ∞ ,+∞)；
(6) it is drawn according to the changing coordinates calculation formula in step (5), obtains parabolic cylinder figure as shown in Figure 5
Picture.
Further, to be 4=3 (z-2) to rendering equation2/5-2(x-1)2/ 7 are illustrated, and specific drawing course is such as
Under:
(1) from 4=3 (z-2)2/5-2(x-1)22 (x-1) are intercepted in/72/7；
(2) from 4=3 (z-2)2- 3 (z-2) are intercepted in/52/5；
(3) d=4 is intercepted from 4=；
(4) normal equation 2 (x-1) is obtained2/7-3(z-2)2/ 5+4=0；
(5) a=2/7, c=-3/5；
(6) ad > 0, cd < 0, then changing coordinates calculation formula are as follows:
Wherein, u ∈ (0,2 π), V ∈ (- ∞ ,+∞)；
(7) it is drawn according to the changing coordinates calculation formula in step (6), obtains hyperbolic cylinder figure as shown in FIG. 6
Picture.
In the present embodiment, by the way that normal equation will be converted into rendering equation, according to the index of the variable of normal equation
The type that the normal equation is identified with coefficient, obtains corresponding coordinate calculation formula, draws to realize and rapidly and accurately treat
Equation processed carries out cylindrical picture drafting, reduces the drawing difficulty of user.
In addition, the embodiment of the present invention also proposes a kind of storage medium, the figure of cylindrical equation is stored on the storage medium
Following operation is realized as drawing program, when the image drawing program of the cylindrical equation is executed by processor:
Obtain to rendering equation, and from it is described in rendering equation intercept constant term and the corresponding target of each equation variable it is more
Item formula；
Described be converted to rendering equation is met into the mark of preset format according to the constant term and the target polynomial
Quasi- equation；
The index and coefficient of each equation variable in the normal equation are obtained, and according to the index and coefficient of each equation variable
Identify the current equation type of the normal equation；
The changing coordinates calculation formula of the normal equation is searched according to the current equation type, and according to described current
Coordinate calculation formula draws the corresponding cylindrical picture of the normal equation.
Further, the current equation type is in parabolic cylindrical equation, elliptic cylinder equation and hyperbolic cylinder equation
Any one；Following operation is also realized when the image drawing program of the cylindrical equation is executed by processor:
Obtain the index and coefficient of each equation variable in the normal equation；
Identify whether the normal equation belongs to the parabolic cylindrical equation according to the index of each equation variable；
If the normal equation is not belonging to the parabolic cylindrical equation, the mark is identified according to the coefficient of each equation variable
Whether quasi- equation belongs to the elliptic cylinder equation；
If the normal equation is not belonging to the elliptic cylinder equation, assert that the normal equation belongs to the hyperbolic cylinder
Face equation.
Further, following operation is also realized when the image drawing program of the cylindrical equation is executed by processor:
If the index of each equation variable is respectively one and two, assert that the normal equation belongs to the parabolic cylinder side
Journey；
If the index of each equation variable is two, assert that the normal equation is not belonging to the parabolic cylindrical equation.
Further, following operation is also realized when the image drawing program of the cylindrical equation is executed by processor:
If the normal equation is not belonging to the parabolic cylindrical equation, judge that the positive negativity of the coefficient of each equation variable is
It is no identical；
If the positive negativity of the coefficient of each equation variable is identical, assert that the normal equation belongs to the elliptic cylinder side
Journey；
If the coefficient of each equation variable positive negativity on the contrary, if assert that the normal equation is not belonging to the elliptic cylinder side
Journey.
Further, the equation variable includes the first variable and the second variable, and the target polynomial includes more than first
Item formula and the second multinomial；
Following operation is also realized when the image drawing program of the cylindrical equation is executed by processor:
It obtains to rendering equation, and from described to intercept corresponding first multinomial of first variable in rendering equation；
Using after interception to rendering equation as the first equation, and second variable pair is intercepted from first equation
The second multinomial answered；
Using the first equation after interception as second equation, and constant term is intercepted from the second equation.
Further, following operation is also realized when the image drawing program of the cylindrical equation is executed by processor:
It is calculated in default mapping table according to the changing coordinates that the current equation type searches the normal equation
Formula includes the corresponding relationship between equation type and coordinate calculation formula in the default mapping table；
The corresponding cylindrical picture of the normal equation is drawn according to the changing coordinates calculation formula.
Further, following operation is also realized when the image drawing program of the cylindrical equation is executed by processor:
Multiple coordinate of ground point of the normal equation are calculated according to the changing coordinates calculation formula；
The corresponding cylindrical picture of the normal equation is drawn according to the coordinate of ground point.
In the present embodiment, by obtaining to rendering equation, and from described to intercept constant term and each side in rendering equation
The corresponding target polynomial of Cheng Bianliang；Symbol is converted to rendering equation by described according to the constant term and the target polynomial
Close the normal equation of preset format；The index and coefficient of each equation variable in the normal equation are obtained, and is become according to each equation
The index and coefficient of amount identify the current equation type of the normal equation；The standard is searched according to the current equation type
The changing coordinates calculation formula of equation, and the corresponding cylinder figure of the normal equation is drawn according to the changing coordinates calculation formula
Picture.The present embodiment meets the normal equation of preset format by being converted to rendering equation, works as front according to normal equation identification
Journey type realizes any cylindrical equation being plotted as cylindrical picture, reduce to reduce the drawing difficulty of cylindrical equation
The operation difficulty of user.
Referring to Fig. 7, Fig. 7 is the functional block diagram of the image plotting device first embodiment of cylindrical equation of the present invention, is based on
The image drawing method of the cylindrical equation proposes the first embodiment of the image plotting device of cylindrical equation of the present invention.
In the present embodiment, the image plotting device of the cylindrical equation includes:
Equation obtains module 10, for obtaining to rendering equation, and from described to intercept constant term and each in rendering equation
The corresponding target polynomial of equation variable；
Equation generation module 20, for that described will be converted to rendering equation according to the constant term and the target polynomial
For the normal equation for meeting preset format；
Type identification module 30, for obtaining the index and coefficient of each equation variable in the normal equation, and according to each
The index and coefficient of equation variable identify the current equation type of the normal equation；
Image Rendering module 40, the changing coordinates for obtaining the normal equation according to the current equation type calculate
Formula, and the corresponding cylindrical picture of the normal equation is drawn according to the changing coordinates calculation formula.
In the present embodiment, by obtaining to rendering equation, and from described to intercept constant term and each side in rendering equation
The corresponding target polynomial of Cheng Bianliang；Symbol is converted to rendering equation by described according to the constant term and the target polynomial
Close the normal equation of preset format；The index and coefficient of each equation variable in the normal equation are obtained, and is become according to each equation
The index and coefficient of amount identify the current equation type of the normal equation；The standard is searched according to the current equation type
The changing coordinates calculation formula of equation, and the corresponding cylinder figure of the normal equation is drawn according to the changing coordinates calculation formula
Picture.The present embodiment meets the normal equation of preset format by being converted to rendering equation, works as front according to normal equation identification
Journey type realizes any cylindrical equation being plotted as cylindrical picture, reduce to reduce the drawing difficulty of cylindrical equation
The operation difficulty of user.
In one embodiment, the current equation type is parabolic cylindrical equation, elliptic cylinder equation and hyperbolic cylinder side
Any one of journey；
The type identification module 30 is also used to obtain the index and coefficient of each equation variable in the normal equation；Root
Identify whether the normal equation belongs to the parabolic cylindrical equation according to the index of each equation variable；If the normal equation does not belong to
In the parabolic cylindrical equation, then identify whether the normal equation belongs to the elliptic cylinder according to the coefficient of each equation variable
Equation；If the normal equation is not belonging to the elliptic cylinder equation, assert that the normal equation belongs to the hyperbolic cylinder
Equation.
In one embodiment, the type identification module 30, if the index for being also used to each equation variable is respectively one and two,
Then assert that the normal equation belongs to the parabolic cylindrical equation；If the index of each equation variable is two, the mark is assert
Quasi- equation is not belonging to the parabolic cylindrical equation.
In one embodiment, the type identification module 30, if being also used to the normal equation is not belonging to the parabolic cylinder
Face equation then judges whether the positive negativity of the coefficient of each equation variable is identical；If the positive negativity of the coefficient of each equation variable is identical,
Then assert that the normal equation belongs to the elliptic cylinder equation；If the coefficient of each equation variable positive negativity on the contrary, if assert
The normal equation is not belonging to the elliptic cylinder equation.
In one embodiment, the equation variable includes the first variable and the second variable, and the target polynomial includes the
One multinomial and the second multinomial；
The equation obtains module 10, is also used to obtain to rendering equation, and from described to described in interception in rendering equation
Corresponding first multinomial of first variable；Using after interception to rendering equation as the first equation, and from first equation
Intercept corresponding second multinomial of second variable；Using the first equation after interception as second equation, and from described second
Constant term is intercepted in equation.
In one embodiment, described image drafting module 40 is also used in default mapping table according to described current
Equation type searches the changing coordinates calculation formula of the normal equation, include equation type in the default mapping table with
Corresponding relationship between coordinate calculation formula；The corresponding cylinder of the normal equation is drawn according to the changing coordinates calculation formula
Image.
In one embodiment, described image drafting module 40 is also used to calculate institute according to the changing coordinates calculation formula
State multiple coordinate of ground point of normal equation；The corresponding cylindrical picture of the normal equation is drawn according to the coordinate of ground point.
The other embodiments or specific implementation of the image plotting device of cylindrical equation of the present invention can refer to above-mentioned
Each method embodiment, details are not described herein again.
It should be noted that, in this document, the terms "include", "comprise" or its any other variant are intended to non-row
His property includes, so that the process, method, article or the device that include a series of elements not only include those elements, and
And further include other elements that are not explicitly listed, or further include for this process, method, article or device institute it is intrinsic
Element.In the absence of more restrictions, the element limited by sentence "including a ...", it is not excluded that including being somebody's turn to do
There is also other identical elements in the process, method of element, article or device.
The serial number of the above embodiments of the invention is only for description, does not represent the advantages or disadvantages of the embodiments.
The use of word first, second, and third does not indicate any sequence, these words can be construed to title.
Through the above description of the embodiments, those skilled in the art can be understood that above-described embodiment side
Method can be realized by means of software and necessary general hardware platform, naturally it is also possible to by hardware, but in many cases
The former is more preferably embodiment.Based on this understanding, technical solution of the present invention substantially in other words does the prior art
The part contributed out can be embodied in the form of software products, which is stored in a storage medium
In (such as ROM/RAM, magnetic disk, CD), including some instructions are used so that a terminal device (can be mobile phone, computer, clothes
Business device, air conditioner or the network equipment etc.) execute method described in each embodiment of the present invention.
The above is only a preferred embodiment of the present invention, is not intended to limit the scope of the invention, all to utilize this hair
Equivalent structure or equivalent flow shift made by bright specification and accompanying drawing content is applied directly or indirectly in other relevant skills
Art field, is included within the scope of the present invention.
Claims (10)
1. a kind of image drawing method of cylindrical equation, which is characterized in that the image drawing method of the cylindrical equation include with
Lower step:
Obtain to rendering equation, and from it is described in rendering equation intercept constant term and the corresponding target of each equation variable it is multinomial
Formula；
Described be converted to rendering equation is met into the standard side of preset format according to the constant term and the target polynomial
Journey；
The index and coefficient of each equation variable in the normal equation are obtained, and is identified according to the index of each equation variable and coefficient
The current equation type of the normal equation；
The changing coordinates calculation formula of the normal equation is searched according to the current equation type, and according to the changing coordinates
Calculation formula draws the corresponding cylindrical picture of the normal equation.
2. the image drawing method of cylindrical equation as described in claim 1, which is characterized in that the current equation type is to throw
Any one of object cylindrical equation, elliptic cylinder equation and hyperbolic cylinder equation；
Correspondingly, the index and coefficient for obtaining each equation variable in the normal equation, and according to the finger of each equation variable
Several and coefficient identifies the current equation type of the normal equation, specifically includes:
Obtain the index and coefficient of each equation variable in the normal equation；
Identify whether the normal equation belongs to the parabolic cylindrical equation according to the index of each equation variable；
If the normal equation is not belonging to the parabolic cylindrical equation, the standard side is identified according to the coefficient of each equation variable
Whether journey belongs to the elliptic cylinder equation；
If the normal equation is not belonging to the elliptic cylinder equation, assert that the normal equation belongs to the hyperbolic cylinder side
Journey.
3. the image drawing method of cylindrical equation as claimed in claim 2, which is characterized in that described according to each equation variable
Index identifies whether the normal equation belongs to the parabolic cylindrical equation, specifically includes:
If the index of each equation variable is respectively one and two, assert that the normal equation belongs to the parabolic cylindrical equation；
If the index of each equation variable is two, assert that the normal equation is not belonging to the parabolic cylindrical equation.
4. the image drawing method of cylindrical equation as claimed in claim 3, which is characterized in that if the normal equation is not
Belong to the parabolic cylindrical equation, then identifies whether the normal equation belongs to the cylindroid according to the coefficient of each equation variable
Face equation, specifically includes:
If the normal equation is not belonging to the parabolic cylindrical equation, judge the coefficient of each equation variable positive negativity whether phase
Together；
If the positive negativity of the coefficient of each equation variable is identical, assert that the normal equation belongs to the elliptic cylinder equation；
If the coefficient of each equation variable positive negativity on the contrary, if assert that the normal equation is not belonging to the elliptic cylinder equation.
5. such as the image drawing method of cylindrical equation of any of claims 1-4, which is characterized in that the equation becomes
Amount includes the first variable and the second variable, and the target polynomial includes the first multinomial and the second multinomial；
Correspondingly, the acquisition is corresponded to rendering equation, and from described to intercept constant term and each equation variable in rendering equation
Target polynomial, specifically include:
It obtains to rendering equation, and from described to intercept corresponding first multinomial of first variable in rendering equation；
Using after interception to rendering equation as the first equation, and it is corresponding to intercept from first equation second variable
Second multinomial；
Using the first equation after interception as second equation, and constant term is intercepted from the second equation.
6. such as the image drawing method of cylindrical equation of any of claims 1-4, which is characterized in that described according to institute
The changing coordinates calculation formula that current equation type searches the normal equation is stated, and is drawn according to the changing coordinates calculation formula
The corresponding cylindrical picture of the normal equation is made, is specifically included:
The changing coordinates calculation formula of the normal equation is searched according to the current equation type in default mapping table,
It include the corresponding relationship between equation type and coordinate calculation formula in the default mapping table；
The corresponding cylindrical picture of the normal equation is drawn according to the changing coordinates calculation formula.
7. the image drawing method of cylindrical equation as claimed in claim 6, which is characterized in that described according to the changing coordinates
Calculation formula draws the corresponding cylindrical picture of the normal equation, specifically includes:
Multiple coordinate of ground point of the normal equation are calculated according to the changing coordinates calculation formula；
The corresponding cylindrical picture of the normal equation is drawn according to the coordinate of ground point.
8. a kind of image drawing device, which is characterized in that described image rendering apparatus includes: memory, processor and is stored in
On the memory and the image drawing program of cylindrical equation that can run on the processor, the image of the cylindrical equation
The Image Rendering of the cylindrical equation as described in any one of claims 1 to 7 is realized when drawing program is executed by the processor
The step of method.
9. a kind of storage medium, which is characterized in that the image drawing program of cylindrical equation is stored on the storage medium, it is described
The cylindrical equation as described in any one of claims 1 to 7 is realized when the image drawing program of cylindrical equation is executed by processor
Image drawing method the step of.
10. a kind of image plotting device of cylindrical equation, which is characterized in that the image plotting device of the cylindrical equation includes:
Equation obtains module, becomes for obtaining to rendering equation, and from described to intercept constant term and each equation in rendering equation
Measure corresponding target polynomial；
Equation generation module, for being met described be converted to rendering equation according to the constant term and the target polynomial
The normal equation of preset format；
Type identification module becomes for obtaining the index and coefficient of each equation variable in the normal equation, and according to each equation
The index and coefficient of amount identify the current equation type of the normal equation；
Image Rendering module, for obtaining the changing coordinates calculation formula of the normal equation according to the current equation type,
And the corresponding cylindrical picture of the normal equation is drawn according to the changing coordinates calculation formula.
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