CN1598869A - Hand-write pen capable of analog different pen touch - Google Patents

Hand-write pen capable of analog different pen touch Download PDF

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CN1598869A
CN1598869A CNA031589952A CN03158995A CN1598869A CN 1598869 A CN1598869 A CN 1598869A CN A031589952 A CNA031589952 A CN A031589952A CN 03158995 A CN03158995 A CN 03158995A CN 1598869 A CN1598869 A CN 1598869A
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data
parameter
writing
formula
style
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CN100351759C (en
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刘振铎
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Acer Inc
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Acer Inc
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Abstract

The invention relates to a handwriting pen. The pen includes penpoint, position transducer to detect position coordination of penpoint on handwriting bat to generate main position data and pressure transducer to detect penpoint pressure to generate pressure value. Connecting with main system through signal transfer wire, the pen transfers main position data and pressure value to main system. The main system contains pen touch simulation device to process position data and pressure value to simulate different pen touch. It includes pressure-radius conversation component to receive pressure value and convert to radius data; positive vector generating component to receive data in main position and generate positive vector data; density position generating component which connects pressure-radius conversation component and positive vector generating component, density position data is generated according to radius data and positive vector data; pen touch generating component which can draw main lines according to main positions while density lines according to density position and each main position corresponds with multiple data in density position.

Description

Can simulate the writing pencil of different styles of writing
(1) technical field
The relevant a kind of writing pencil of the present invention is especially about a kind of writing pencil of simulating different styles of writing.
(2) background technology
In recent years, handwriting device had become more and more general input media.Generally speaking, handwriting device comprises a handwriting pad and a writing pencil, and the user can utilize writing pencil to write on handwriting pad, utilizes the mode of key in data with replacement.Common handwriting device comprises Tablet PC, it has a dull and stereotyped hand-written LCD screen and an induction pointer (wire/wireless), and WACOM digital version, the version of drawing, it comprises induction type plotting sheet (digital version) and (wire/wireless) induction pen.In addition, the user must install identification software, and mapping software such as Photoshop for example is in computer, to be used for discerning the literal that the user utilizes handwriting device to be imported.
Identification software must identify the position of writing pencil on handwriting pad, and promptly (X, Y) and user's power of writing, i.e. force value just can simulate the style of writing of different-style to coordinate position.Yet, because the data that obtained are limited, therefore, present mapping software, for example Photoshop, CorelDraw, Painter etc. still have very big weak point on the function of simulation style of writing.
(3) summary of the invention
Therefore, fundamental purpose of the present invention is to provide a kind of writing pencil of simulating different styles of writing, and it can simulate different style of writing styles according to user's the power of writing, and makes the function of simulation style of writing of mapping software more become complete.
Writing pencil of the present invention comprises: a nib; One position transducer is used for detecting the main positions coordinate of nib on a handwriting pad, to produce main positions data; One pressure transducer is used for detecting nib and puts on pressure on the handwriting pad, to produce a force value.Writing pencil is to be connected in a main system via a signal transmssion line, and via signal transmssion line, main positions data and force value is sent to main system.Main system has a style of writing analogue means, is used for handling main positions data and force value, to simulate different styles of writing.The style of writing analogue means comprises one pressure-radius transition components, is used for receiving force value, and converts force value to radius data; One positive vector generation component is used for receiving the main positions data, and according to the main positions data, produces positive vector data; One density position generation component, be connected in pressure-radius transition components and positive vector generation component, be used for, with on the positive vector direction of main positions data according to radius data and positive vector data, produce a plurality of density position datas, be used for representing a plurality of density location coordinate; And a style of writing generation component, be used for according to the main positions data of nib at different time, the main line bar that draws, and according to the density position data, many density lines that draw, wherein each main positions data is corresponding to a plurality of density position datas.
(4) description of drawings
Fig. 1 is the synoptic diagram of writing pencil of the present invention.
Fig. 2 is the graph of a relation of radius of a circle and force value.
Fig. 3 is connected in the synoptic diagram of main system for writing pencil of the present invention.
Fig. 4 shows a plurality of density location coordinate.
Fig. 5 shows main line bar and density lines.
Fig. 6 is the process flow diagram of the style of writing production method of style of writing generation component.
The synoptic diagram of the style of writing that Fig. 7 is produced for the style of writing generation component.
The synoptic diagram of Fig. 8 style of writing generation component.
Fig. 9 is a synoptic diagram of playing up location coordinate.
Figure 10 is the synoptic diagram of different styles of writing.
(5) embodiment
Please refer to Fig. 1.Fig. 1 is the synoptic diagram of writing pencil 10 of the present invention.Writing pencil 10 is that collocation one handwriting pad 12 uses.As shown in the figure, writing pencil 10 comprises a nib 11, and the stroke 14 that the user utilizes writing pencil 10 to be finished on handwriting pad 12 is to be made of 16 of a plurality of circles, and the center of circle of circle 16 is to represent with O, and its radius then is
Please refer to Fig. 2.Fig. 2 is the radius of circle 16
Figure A0315899500252
Graph of a relation with force value Z.As shown in the figure, heal when big when the user writes power, promptly the force value Z of writing pencil 10 is healed when big, the radius of circle 16
Figure A0315899500253
It is big to heal.In other words, according to different force value Z, the circle 16 that writing pencil 10 can vary in size in different time point generations is on handwriting pad 12, to form style of writing 14.Wherein, Be the maximum radius data of presetting.
Please refer to Fig. 3.Fig. 3 is connected in the synoptic diagram of main system 21 for writing pencil 10 of the present invention.Writing pencil 10 comprises a position transducer 18, and a pressure transducer 20.Position transducer 18 is to be used for detecting the main positions coordinate O of nib 11 on handwriting pad 12 i, to produce main positions data.Main positions coordinate O iPromptly be that writing pencil 10 is at time t iThe time circle 16 that produced the center of circle, it can be expressed as coordinate (X i, Y j).Pressure transducer 20 is to be used for detecting nib 11 to put on pressure on the handwriting pad 12, to produce a force value Z.
Writing pencil 10 is to be connected in main system 21 via a signal transmssion line (not shown), and via signal transmssion line, main positions data and force value is sent to main system 21.Main system has a style of writing analogue means 23, and for example, mapping software or identification software are used for handling main positions data and force value, to simulate different styles of writing.
Style of writing analogue means 23 comprises one pressure-radius transition components 22, one positive vector generation components 24, one density position generation components 26, and a style of writing generation component 28.Pressure-22 of radius transition components are to be used for receiving force value Z, and utilize one pressure-radius conversion formula, and Z converts radius data to force value
Figure A0315899500262
Pressure-radius conversion formula is according to radius shown in Figure 2
Figure A0315899500263
Obtained with the graph of a relation of force value Z, it is to be expressed as:
Figure A0315899500264
Positive vector generation component 24 is to be used for receiving the main positions data, and according to the main positions data, produces positive vector data.Positive vector generation component 24 at first is positioned at main positions coordinate O according to the main positions data to obtain nib 11 iOn instantaneous direction, its computing formula is to be expressed as:
V i = O i - O i - 1 | O i - O i - 1 | ;
V wherein iExpression nib 11 is at time t iInstantaneous direction, O iExpression nib 11 is at time t iThe main positions coordinate, and O I-1Expression nib 11 is at time t I-1The main positions coordinate.Suppose Vi=(x, y), positive vector data N then i=(y, x).
Density position generation component 26 is to be connected in pressure-radius transition components 22 and positive vector generation component 24, is used for according to radius data
Figure A0315899500272
With positive vector data N i, with at main positions coordinate O iThe positive vector direction on, produce a plurality of density position datas, to be used for representing a plurality of density location coordinate b Ij
Please refer to Fig. 4.Fig. 4 shows a plurality of density location coordinate b IjDensity position generation component 26 is to utilize a density position to produce formula to produce a plurality of density position data b IjThis formula is to be expressed as:
Wherein, Oi represents that nib 11 is at time t iThe main positions coordinate,
Figure A0315899500274
Be radius data, Ni is the positive vector data, and n is a systemic presupposition value, with the number that decides the density position data, and bi, j represents j density location coordinate of i main positions coordinate.Wherein, the stroke 14 that writing pencil 10 is drawn is to comprise m main positions data, and each main positions data is corresponding to n density position data.As shown in the figure, main positions coordinate O iBe corresponding to a plurality of density location coordinate bi, j.
Please refer to Fig. 5.Fig. 5 shows main line bar L and density lines l 1~l 10Style of writing generation component 28 is to be used for according to nib 11 at different time t I-1, t i, t I+1Main positions coordinate O I-1, O i, O I+1, the main line bar L that draws, and according to density location coordinate b I-1, j, b I, j, b I+1, j, density lines l draws 1~l 10As shown in the figure, each main positions coordinate is corresponding to 10 density location coordinate.
Please refer to Fig. 6.Fig. 6 is the process flow diagram of the style of writing production method 30 of style of writing generation component 28.Style of writing generation component 28 is to utilize style of writing production method 30 to produce main line bar L and density lines l 1~l 10Suppose that main line bar L is made up of m main coordinate position, and each main positions coordinate is corresponding to n density location coordinate.As shown in Figure 5, in this example, m=3, and n=10.
In step 32, style of writing generation component 28 can calculate i the tangent line vector T with i+1 location coordinate iWith T I+1, its formula is:
Figure A0315899500281
P wherein I+1Represent i+1 location coordinate, and P iRepresent i location coordinate.
In step 34, style of writing generation component 28 can utilize mixed function (Blending functions) to calculate the interpolate value between i and i+1 location coordinate, and this mixed function is to be expressed as:
Figure A0315899500282
In step 36, style of writing generation component 28 can obtain a radix curve (Cardinal Splines Curve), and its formula is:
P → = P → i * h 1 + P → i + 1 * h 2 + T → i * h 3 + T → i + 1 * h 4 .
At last, in step 38, style of writing generation component 28 can calculate the middle base cursor position between i and i+1 the location coordinate, and all coordinate positions are coupled together, to produce a smooth-going curve.The computing formula of this middle base cursor position is:
P=S*h*C; Wherein S = s 3 s 2 s 1 1 C = P i P i + 1 T i T i + 1 h = 2 - 2 1 1 - 3 3 - 2 - 1 0 0 1 0 1 0 0 0 .
Please refer to Fig. 7.The synoptic diagram of the style of writing that Fig. 7 is produced for style of writing generation component 28.Utilize style of writing production method 30 to connect all main positions coordinates at style of writing generation component 28, and connect all density location coordinate, just can produce style of writing as shown in Figure 7 with after drawing the density lines all with the main line bar that draws.
In addition, style of writing generation component 28 comprises various parameter generating assembly in addition, is used for producing different parameter settings, to simulate different style of writing styles.
Please refer to Fig. 8.The synoptic diagram of Fig. 8 style of writing generation component 28.Style of writing generation component 28 comprises a color parameter generation component 40, a rate parameter generation component 42, one speed-color parameter generation component 44, a depth parameter generating assembly 46, to be played up parameter generating assembly 48, and is interrupted parameter generating assembly 50, and a stroke color parameter generating assembly 52.
Color parameter generation component 40 is to be used for producing color parameter corresponding to main positions data and density position data by a random number generation component (not shown), with decision main line bar L and density lines l 1~l 10On the color of each location point.The color parameter generation component is to utilize a color parameter to produce formula to produce color parameter ρ iThis formula is to be expressed as:
Generally speaking, ρ 1With ρ 2Value can set comparatively approachingly, in order to avoid drop is excessive.
Rate parameter generation component 42 is the rate parameters that are used for producing corresponding to main positions data and density position data, with the spot speed of expression writing pencil 10 on each location point.Rate parameter generation component 42 is to utilize a rate parameter to produce formula to produce rate parameter V.This formula is to be expressed as:
V = f ( v ) = ( v max 3 - 3 v max v 2 + 2 v 3 v max 3 ) ;
Wherein v represents the spot speed of writing pencil 10 at the main positions coordinate, and v MaxThe maximum rate value that expression one is preset.
When writing, make pen and ink that different deep or light performances are arranged because of the difference of spot speed.Generally speaking, spot speed is healed when big, and the color of pen and ink can be lighter.Therefore, speed-color parameter generation component 44 is to be used for producing one speed-color parameter according to color parameter and rate parameter, to present the deep or light relation of above-mentioned spot speed and pen and ink.Speed-color parameter generation component 44 is to utilize one speed-color parameter to produce formula to produce speed-color parameter ρ iThis formula is to be expressed as:
ρ′ i=ρ i*V。
Depth parameter generating assembly 46 is to be used for according to force value Z, produces the depth parameter corresponding to main positions data and density position data.Soft pen such as writing brush or watercolor pencil has usually and more retouches the light phenomenon that heals when writing or paint.Therefore, the main positions data can have maximum depth parameter, and the density position data that heals far away apart from the main positions data then has the depth parameter that heals little, makes that main line bar L is the darkest, the density lines of healing far away apart from main line bar L are then more shallow, to present the thin out situation of concentration.
Generally speaking, when pressure more hour, the application of force of just writing more hour, the thin out situation of style of writing concentration can heal obviously, and heals when big when pressure, the thin out situation of style of writing concentration is then more not obvious.For example, when firmly writing, the concentration of stroke usually can be dense especially and even, promptly almost do not have thin out situation to take place.Therefore, as mentioned above, depth parameter generating assembly 46 is to produce depth parameter according to force value Z.
In addition, depth parameter generating assembly 46 is to utilize a depth parameter generating formula to produce depth parameter lambda.This formula is to be expressed as:
λ=(1-λ 0) (1-e -az)+λ 0Wherein a is a constant by user's definition, and z is a force value, λ 0Preset value for depth parameter.
Because when the application of force of writing was very big, the concentration of stroke can be dense especially, and can be very even, almost there is not thin out situation to take place, therefore, in above-mentioned formula, when force value during greater than a predetermined value, depth parameter can be a constant.
Generally speaking, writing brush and watercolor pencil all can present the phenomenon of playing up or expanding when writing and paint, and therefore, each style of writing lines has different thickness degree.More of a specified duration when the time that nib stops, the degree of playing up will heal greatly, is exactly to be used for simulating this to play up phenomenon and play up parameter generating assembly 48.
Playing up parameter generating assembly 48 is to be used for according to main positions data and radius data
Figure A0315899500301
Produce a plurality of position datas of playing up, to represent a plurality of location coordinate of playing up.
Please refer to Fig. 9.Fig. 9 plays up location coordinate q iSynoptic diagram.Each main positions data is corresponding to a plurality of position datas of playing up, i.e. each main positions coordinate O iBe corresponding to a plurality of location coordinate q that play up iPlay up parameter generating assembly 48 and comprise and play up parameter D, with deciding per two to play up location coordinate q iBetween distance, and utilize one to play up the position and produce formula and produce and play up location coordinate, so that apart from main positions coordinate O iThe location coordinate q that plays up far away of healing iBetween distance littler.This formula is to be expressed as:
∂ q ∂ t = D ▿ 2 q ;
Wherein this formula is to utilize method of finite difference (finite difference method) to be unfolded as follows:
⇒ q i + 1 → q i - 1 2 t = D · ( q i + 1 - 2 q i + q i - 1 )
⇒ q i + 1 = q i - 1 + 2 Dt · q i + 1 - 4 Dtq i + 2 Dtq i - 1
⇒ q i + 1 = ( 1 1 - 2 Dt ) ( - 4 Dtq i + ( 1 + 2 Dt ) q i - 1 ) .
As mentioned above, surpassing radius Scope in addition can calculate a plurality of location coordinate of playing up, and distance can diminish gradually between playing up between the location coordinate, can level off to zero at last.Therefore, when style of writing forms, can present the phenomenon that style of writing outwards increases, and rate of rise can be slow gradually, level off to zero at last.According to the different set of playing up parameter D, its rate of rise variation also has difference, and then presents the different phenomenons of playing up.
More than play up the change in location of phenomenon,, also can apply mechanically above-mentioned formula and try to achieve the change color of playing up phenomenon as for the variation of color value for simulation.Therefore, it is to play up color data corresponding to one that above-mentioned each is played up position data, can utilize equally and play up parameter D and play up parameter generating assembly 48, to determine per two change color of playing up between the color data, and it is utilize above-mentioned formula to produce and play up color data, so that littler apart from the main positions data difference of playing up between the color data of playing up position data far away that heals.Therefore, can present the thin out gradually rendering effect of color.
In addition, stroke 14 meetings are because of the material difference of writing brush or watercolor pencil, and the phenomenon that generation is interrupted, promptly some part of stroke 14 can be blank, being interrupted parameter generating assembly 50 then is to be used for simulating this interruption phenomenon.
Be interrupted parameter generating assembly 50 and can produce, whether can be manifested with decision main positions data and density position data corresponding to disconnected parameter between main positions data and the density position data.Be interrupted parameter generating assembly 50 comprise one default between disconnected parameter setting table, have a plurality of interruption parameters, with corresponding to main positions data and density position data.When the interruption parameter was first value, its pairing position data can be displayed, and when the interruption parameter was second value, its pairing position data then can not displayed.
Therefore, by the setting that is interrupted parameter, some location point in the stroke 14 can be blank, makes lines present the phenomenon of interruption.Being interrupted parameter d can be expressed as:
D=dTable (i); D ∈ [0,1] wherein.
When the interruption parameter was 0, the location point of its pairing position data representative can be blank, and when the interruption parameter was 1, the location point of its pairing position data representative can display.
Except utilizing above-mentioned other parameter generating assembly to produce the parameter setting, style of writing generation component 28 also comprises a stroke color parameter generating assembly 52, with in conjunction with several above-mentioned parameters to produce a stroke color parameter.
Stroke color parameter generating assembly 52 is the color parameter ρ that produced according to color parameter generation component 40 i, the rate parameter V that produced of rate parameter generation component 42, the depth parameter lambda that depth parameter generating assembly 46 is produced, and be interrupted parameter generating assembly 50 parameter d of breaking between producing, to produce a stroke color parameter.Stroke color parameter generating assembly 52 is to utilize a stroke color parameter generating formula to calculate the stroke color parameters C I, jThis formula is to be expressed as:
C i,j=λ*C i,j-1*d*V;
As mentioned above, the stroke 14 that writing pencil 10 is drawn is to comprise m main positions data, and each main positions data is corresponding to n density position data, and C I, jThe pairing stroke color parameter of j density location coordinate of representing i main positions coordinate.
Please refer to Figure 10.Figure 10 is the synoptic diagram of different styles of writing.Utilize writing pencil 10 of the present invention can simulate different styles of writing, wherein two kinds just shown in the figure, and main system 21 can be shown in the style of writing of simulating out on its screen that connects.
Though with reference to preferred embodiment and the narration of illustrative accompanying drawing, it should not be considered to it is restrictive in the present invention.Person skilled in the art person is not in leaving scope of the present invention, when doing various modifications, omission and variation to the content of its form and special concrete example.

Claims (54)

1. a style of writing analogue means is installed in the main system, and this main system is to be connected in a writing pencil via a signal transmssion line, and this writing pencil comprises:
One nib;
One position transducer is used for detecting the main positions coordinate of this nib on a handwriting pad, to produce main positions data;
One pressure transducer is used for detecting this nib and puts on pressure on this handwriting pad, to produce a force value;
Wherein this writing pencil is sent to this main system with these main positions data and this force value via this signal transmssion line;
This style of writing analogue means comprises:
One pressure-radius transition components is used for receiving this force value and converts this force value to radius data;
One positive vector generation component is used for receiving this main positions data, and according to these main positions data, produces positive vector data;
One density position generation component, be connected in this pressure-radius transition components and this positive vector generation component, be used for according to this radius data and this positive vector data, with on the positive vector direction of these main positions data, produce a plurality of density position datas, be used for representing a plurality of density location coordinate; And
One style of writing generation component is used for according to the main positions data of this nib at different time, the main line bar that draws, and according to this density position data, many density lines that draw, wherein each main positions data is corresponding to a plurality of density position datas.
2. style of writing analogue means as claimed in claim 1, the pressure-radius transition components that it is characterized in that this main system is to utilize one pressure-radius conversion formula, z converts this radius data to this force value
Figure A031589950002C1
This formula is to be expressed as:
Wherein Be the maximum radius data of presetting.
3. style of writing analogue means as claimed in claim 2 is characterized in that this positive vector generation component at first is positioned at instantaneous direction on this main positions coordinate according to these main positions data to obtain this nib, and its computing formula is to be expressed as:
V i = O i - O i - 1 | O i - O i - 1 | ;
V wherein iRepresent that this nib is at time t iInstantaneous direction, O iRepresent that this nib is at time t iThe main positions coordinate, and O I-1Represent that this nib is at time t I-1The main positions coordinate;
Suppose V i=(x, y), these positive vector data N then i=(y, x).
4. style of writing analogue means as claimed in claim 3 is characterized in that this density position generation component is to utilize a density position to produce formula to produce this a plurality of density position datas, and this formula is to be expressed as:
Wherein, O iRepresent that this nib is at time t iThe main positions coordinate, Be this radius data, N iBe these positive vector data, n is a systemic presupposition value, with the number that decides this density position data, and b I, jJ density location coordinate representing i main positions coordinate;
Wherein the stroke drawn of this writing pencil comprises m main positions data, and each main positions data is corresponding to n density position data.
5. style of writing analogue means as claimed in claim 4, it is characterized in that this style of writing generation component is to utilize a style of writing production method to produce this main line bar and this many density lines, suppose that this main line bar is made up of m main coordinate position, and each main positions coordinate is corresponding to n density location coordinate, and this method comprises:
Calculate the tangent line vector T of i and i+1 location coordinate iWith T I+1, its formula is:
Figure A031589950004C1
P wherein I+1Represent i+1 location coordinate, and P I-1Represent i-1 location coordinate;
Utilize mixed function (Blending functions) to calculate the interpolate value between i and i+1 location coordinate, this mixed function is to be expressed as:
Obtain a radix curve (Cardinal Splines Curve), its formula is:
P → = P → i * h i + P → i + 1 * h 2 + T → i * h 3 + T → i + 1 * h 4 ; And
Coordinate position between among calculating between i and i+1 the location coordinate, and all coordinate positions are coupled together, to produce a smooth-going curve, the computing formula of this middle base cursor position is:
P=S*h*C;
Wherein
S = s 3 s 2 s 1 1 , C = P i P i + 1 T i T i + 1 , h = 2 - 2 1 1 - 3 3 - 2 - 1 0 0 1 0 1 0 0 0 .
6. style of writing analogue means as claimed in claim 1 is characterized in that this style of writing generation component comprises:
One color parameter generation component is used for producing color parameter corresponding to these main positions data and this density position data by a random number generation component.
7. style of writing analogue means as claimed in claim 6 is characterized in that this color parameter generation component is to utilize a color parameter to produce formula to produce this color parameter ρ i, this formula system is expressed as:
ρ wherein 1With ρ 2It is the systemic presupposition value.
8. style of writing analogue means as claimed in claim 7 is characterized in that this style of writing generation component comprises:
One rate parameter generation component is used for producing the rate parameter corresponding to these main positions data and this density position data; And
One speed-color parameter generation component is used for producing one speed-color parameter according to this color parameter and this rate parameter.
9. style of writing analogue means as claimed in claim 8 is characterized in that this rate parameter generation component is to utilize a rate parameter to produce formula to produce this rate parameter V, and this formula is to be expressed as:
V = f ( v ) = ( v max 3 - 3 v max v 2 + 2 v 3 v max 3 ) ;
Wherein v represents the spot speed of this writing pencil at this main positions coordinate, v MaxThe maximum rate value that expression one is preset; And
This speed-color parameter generation component system utilizes one speed-color parameter to produce formula and produces this speed-color parameter ρ ' i, this formula system is expressed as:
ρ′ i=ρ i*V。
10. style of writing analogue means as claimed in claim 1 is characterized in that this style of writing generation component comprises:
One depth parameter generating assembly is used for according to this force value, produces the depth parameter corresponding to these main positions data and this density position data.
11. style of writing analogue means as claimed in claim 10 is characterized in that these main positions data have maximum depth parameter, the density position data that heals far away apart from these main positions data then has the depth parameter that heals little.
12. style of writing analogue means as claimed in claim 11 is characterized in that this depth parameter generating assembly is to utilize a depth parameter generating formula to produce this depth parameter lambda, this formula system is expressed as:
λ=(1-λ 0)(1-e -az)+λ 0
Wherein a is a constant by user's definition, and z is a force value, λ 0Preset value for depth parameter;
Wherein when this force value during greater than a predetermined value, this depth parameter is a constant.
13. style of writing analogue means as claimed in claim 1 is characterized in that this style of writing generation component comprises:
One plays up the parameter generating assembly, is used for producing a plurality of position datas of playing up according to these main positions data and this radius data, and to represent a plurality of location coordinate of playing up, wherein each main positions data is corresponding to a plurality of position datas of playing up.
14. style of writing analogue means as claimed in claim 13, it is characterized in that this plays up the parameter generating assembly and comprise and play up parameter D, with with decide per two this play up distance between the position data q, and utilize one to play up the position and produce formula and produce this and play up position data, so that littler apart from these main positions data distance of playing up between the position data far away that heals, this formula is to be expressed as:
∂ q ∂ t = D ▿ 2 q ;
Wherein this formula is to utilize method of finite difference (finite difference method) to be unfolded as follows:
⇒ q i + 1 - q i - 1 2 t = D · ( q i + 1 - 2 q i + q i - 1 )
⇒ q i + 1 = q i - 1 + 2 Dt · q i + 1 - 4 Dt q i + 2 Dt q i - 1 .
⇒ q i + 1 = ( 1 1 - 2 Dt ) ( - 4 Dt q i + ( 1 + 2 Dt ) q i - 1 )
15. style of writing analogue means as claimed in claim 13, it is characterized in that each this to play up position data be to play up color data corresponding to one, and this is played up the parameter generating assembly and comprises and play up parameter D, with with decide per two this play up change color between the color data q, and utilize one to play up color and produce formula and produce this and play up color data, so that littler apart from these main positions data difference of playing up between the color data of playing up position data far away that heals, this formula is to be expressed as:
∂ q ∂ t = D ▿ 2 q ;
Wherein this formula is to utilize method of finite difference (finite difference method) to be unfolded as follows:
⇒ q i + 1 - q i - 1 2 t = D · ( q i + 1 - 2 q i + q i - 1 )
⇒ q i + 1 = q i - 1 + 2 Dt · q i + 1 - 4 Dt q i + 2 Dt q i - 1 .
⇒ q i + 1 = ( 1 1 - 2 Dt ) ( - 4 Dt q i + ( 1 + 2 Dt ) q i - 1 )
16. style of writing analogue means as claimed in claim 1 is characterized in that this style of writing generation component comprises:
One is interrupted the parameter generating assembly, is used for producing the interruption parameter corresponding to these main positions data and this density position data, to determine whether these main positions data and this density position data can be manifested.
17. style of writing analogue means as claimed in claim 16 is characterized in that this interruption parameter generating assembly comprises one and is interrupted the parameter setting table, has a plurality of interruption parameters, corresponding to these main positions data and this density position data:
Wherein when the interruption parameter was first value, its pairing position data can be displayed, and when this interruption parameter was second value, its pairing position data then can not be displayed;
This interruption parameter d can be expressed as:
d=dTable(i);
D ∈ [0,1] wherein.
18., it is characterized in that this style of writing generation component comprises as the described style of writing analogue means of claim l:
One color parameter generation component, be used for producing color parameter corresponding to these main positions data and this density position data by a random number generation component, wherein this color parameter generation component is to utilize a color parameter to produce formula to produce this color parameter and produce formula and produce this color parameter ρ i, this formulate is:
ρ wherein 1With ρ 2It is the systemic presupposition value;
One rate parameter generation component, be used for producing rate parameter corresponding to these main positions data and this density position data, it is characterized in that this rate parameter generation component system utilizes a rate parameter to produce formula and produces this rate parameter V, this formula is to be expressed as:
V = f ( v ) = ( v max 3 - 3 v max v 2 + 2 v 3 v max 3 ) , Wherein v represents the spot speed of this writing pencil at this main positions coordinate, v MaxThe maximum rate value that expression one is preset;
One depth parameter generating assembly, be used for according to this force value, generation is corresponding to the depth parameter of these main positions data and this density position data, wherein these main positions data have maximum depth parameter, the density position data that heals far away apart from these main positions data then has the depth parameter that heals little, this depth parameter generating assembly system utilizes a depth parameter generating formula to produce this depth parameter lambda, and this formula is to be expressed as:
λ=(1-λ 0) (1-e -ax)+λ 0, wherein a is a constant by user's definition, and z is a force value, λ 0Be the preset value of depth parameter, and when this force value during greater than a predetermined value, this depth parameter is a constant;
One is interrupted the parameter generating assembly, be used for producing interruption parameter corresponding to these main positions data and this density position data, to determine whether these main positions data and this density position data can be manifested, wherein this interruption parameter generating assembly comprises one and is interrupted the parameter setting table, have a plurality of interruption parameters, corresponding to these main positions data and this density position data, when the interruption parameter is first value, its pairing position data can be displayed, and when this interruption parameter is second value, its pairing position data then can not displayed, and this interruption parameter d can be expressed as:
D=dTable (i), wherein d ∈ [0,1]; And
One stroke color parameter generating assembly is used for according to this color parameter ρ i, rate parameter V, depth parameter lambda, be interrupted parameter d producing a stroke color parameter, and this stroke color parameter generating assembly is to utilize a stroke color parameter generating formula to calculate this stroke color parameters C I, j, this formula is to be expressed as:
C i,j=λ*C i,j-1*d*V;
Wherein the stroke drawn of this writing pencil is to comprise m main positions data, and each main positions data is corresponding to n density position data, and C I, iThe pairing stroke color parameter of j density location coordinate of representing i main positions coordinate.
19. a style of writing simulation system, a writing pencil with a nib presses and produce the simulation style of writing by this in order to accept, and this system comprises:
One handwriting pad, this handwriting pad comprises one and is used for detecting the main positions coordinate of nib on aforementioned handwriting pad, is used for detecting this nib with the position transducer and that produces main positions data and puts on pressure on the aforementioned handwriting pad to produce the pressure transducer of a force value; And
One simulation main system, in order to receive aforementioned location coordinate and aforementioned pressure value and to produce the simulation style of writing by these data, this main system also includes:
One pressure-radius transition components converts the aforementioned pressure value to radius data;
One positive vector generation component according to aforementioned main positions coordinate data, produces positive vector data;
One density position generation component, be connected in aforementioned pressure-radius transition components and aforementioned positive volume production and give birth to assembly, according to aforementioned radius data and aforementioned positive amount data, with on the positive vector direction of aforementioned main positions coordinate data, produce a plurality of density position datas, be used for representing a plurality of density location coordinate;
One style of writing generation component, according to the location coordination data of aforementioned nib at different time, the main line bar that draws, and according to aforementioned density position data, many the density lines that draw is characterized in that each main positions coordinate data is corresponding to a plurality of density position datas.
20. style of writing simulation system as claimed in claim 19, the aforementioned pressure-radius transition components that it is characterized in that aforementioned main system is to utilize one pressure-radius conversion formula, and z converts this radius data to this force value This formula is to be expressed as:
Figure A031589950010C1
Wherein
Figure A031589950010C2
Be the maximum radius data of presetting.
21. style of writing simulation system as claimed in claim 20, it is characterized in that the aforementioned positive volume production give birth to assembly at first according to this location coordination data to obtain the instantaneous direction that aforementioned nib produces on location coordinate, its computing formula is to be expressed as:
V i = O i - O i - 1 | O i - O i - 1 | ;
V wherein iRepresent that this nib is at time t iInstantaneous direction, O iRepresent that this nib is at time t iThe main positions coordinate, and O I-1Represent that this nib is at time t I-1The main positions coordinate;
Suppose V i=(x, y), these positive vector data N then i=(y, x).
22. style of writing simulation system as claimed in claim 21 is characterized in that this density position generation component is to utilize a density position to produce formula to produce this a plurality of density position datas, this formula is to be expressed as:
Figure A031589950010C4
Wherein, O iRepresent that this nib is at time t iThe main positions coordinate,
Figure A031589950010C5
Be this radius data, N iBe these positive vector data, n is a systemic presupposition value, with the number that decides this density position data, and b I, jJ density location coordinate representing i main positions coordinate;
Wherein the stroke drawn of this writing pencil comprises m main positions data, and each main positions data is corresponding to n density position data.
23. style of writing simulation system as claimed in claim 22, it is characterized in that this style of writing generation component is to utilize a style of writing production method to produce this main line bar and this many density lines, suppose that this main line bar is made up of m main coordinate position, and each main positions coordinate is corresponding to n density location coordinate, and this method comprises:
Calculate the tangent line vector T of i and i+1 location coordinate iWith T I+1, its formula is:
P wherein I+1Represent i+1 location coordinate, and P I-1Represent i-1 location coordinate; Utilize mixed function (Blending functions) to calculate the interpolate value between i and i+1 location coordinate, this mixed function is to be expressed as:
Obtain a radix curve (Cardinal Splines Curve), its formula is: P → = P → i * h 1 + P → i + 1 * h 2 + T → i * h 3 + T → i + 1 * h 4 ; And
Calculate the middle base cursor position between i and i+1 the location coordinate, and all coordinate positions are coupled together, to produce a smooth-going curve, the computing formula of this middle base cursor position is:
P=S*h*C;
Wherein
S = s 3 s 2 s 1 1 , C = P i P i + 1 T i T i + 1 , h = 2 - 2 1 1 - 3 3 - 2 - 1 0 0 1 0 1 0 0 0 .
24. style of writing simulation system as claimed in claim 19 is characterized in that this style of writing generation component comprises:
One color parameter generation component is used for producing color parameter corresponding to these main positions data and this density position data by a random number generation component.
25. style of writing simulation system as claimed in claim 24 is characterized in that this color parameter generation component is to utilize a color parameter to produce formula to produce this color parameter ρ i, this formula is to be expressed as:
ρ wherein 1With ρ 2It is the systemic presupposition value.
26. style of writing simulation system as claimed in claim 25 is characterized in that this style of writing generation component comprises:
One rate parameter generation component is used for producing the rate parameter corresponding to these main positions data and this density position data; And
One speed-color parameter generation component is used for producing one speed-color parameter according to this color parameter and this rate parameter.
27. style of writing simulation system as claimed in claim 26 is characterized in that this rate parameter generation component is to utilize a rate parameter to produce formula to produce this rate parameter V, this formula is to be expressed as:
V = f ( v ) = ( v max 3 - 3 v max v 2 + 2 v 3 v max 3 ) ;
Wherein v represents the spot speed of this writing pencil at this main positions coordinate, v MaxThe maximum rate value that expression one is preset;
This speed-color parameter generation component is to utilize one speed-color parameter to produce formula to produce this speed-color parameter ρ ' i, this formula is to be expressed as:
ρ′ i=ρ i*V。
28. style of writing simulation system as claimed in claim 19 is characterized in that aforementioned style of writing generation component comprises:
One depth parameter generating assembly is used for according to this force value, produces the depth parameter corresponding to these main positions data and this density position data.
29. style of writing simulation system as claimed in claim 28 is characterized in that these main positions data have maximum depth parameter, the density position data that heals far away apart from these main positions data then has the depth parameter that heals little.
30. style of writing simulation system as claimed in claim 29 is characterized in that this depth parameter generating assembly is to utilize a depth parameter generating formula to produce this depth parameter, this formula is to be expressed as:
λ=(1-λ 0) (1-e -az)+λ 0: wherein a is a constant by user's definition, and z is a force value, λ 0Preset value for depth parameter:
Wherein when this force value during greater than a predetermined value, this depth parameter is a constant.
31. style of writing simulation system as claimed in claim 19 is characterized in that this style of writing generation component comprises:
One plays up the parameter generating assembly, is used for producing a plurality of position datas of playing up according to these main positions data and this radius data, and to represent a plurality of location coordinate of playing up, wherein each main positions data is corresponding to a plurality of position datas of playing up.
32. style of writing simulation system as claimed in claim 31, it is characterized in that this plays up the parameter generating assembly and comprise and play up parameter D, with with decide per two this play up distance between the position data q, and utilize one to play up the position and produce formula and produce this and play up position data, so that littler apart from these main positions data distance of playing up between the position data far away that heals, this formula is to be expressed as:
∂ q ∂ t = D ▿ 2 q ;
Wherein this formula is to utilize method of finite difference (finite difference method) to be unfolded as follows:
⇒ q i + 1 - q i - 1 2 t = D · ( q i + 1 - 2 q i + q i - 1 )
⇒ q i + 1 = q i - 1 + 2 Dt · q i + 1 - 4 Dt q i + 2 Dt q i - 1 .
⇒ q i + 1 = ( 1 1 - 2 Dt ) ( - 4 Dt q i + ( 1 + 2 Dt ) q i - 1 )
33. style of writing simulation system as claimed in claim 31, it is characterized in that each this to play up position data be to play up color data corresponding to one, and this is played up the parameter generating assembly and comprises and play up parameter D, with with decide per two this play up change color between the color data q, and utilize one to play up color and produce formula and produce this and play up color data, so that littler apart from these main positions data difference of playing up between the color data of playing up position data far away that heals, this formula is to be expressed as:
∂ q ∂ t = D ▿ 2 q ;
Wherein this formula is to utilize method of finite difference (finite difference method) to be unfolded as follows:
⇒ q i + 1 - q i - 1 2 t = D · ( q i + 1 - 2 q i + q i - 1 )
⇒ q i + 1 = q i - 1 + 2 Dt · q i + 1 - 4 Dt q i + 2 Dt q i - 1 .
⇒ q i + 1 = ( 1 1 - 2 Dt ) ( - 4 Dt q i + ( 1 + 2 Dt ) q i - 1 )
34. style of writing simulation system as claimed in claim 19 is characterized in that this style of writing generation component comprises:
One is interrupted the parameter generating assembly, is used for producing the interruption parameter corresponding to these main positions data and this density position data, to determine whether these main positions data and this density position data can be manifested.
35. style of writing simulation system as claimed in claim 34 is characterized in that this interruption parameter generating assembly comprises one and is interrupted the parameter setting table, has a plurality of interruption parameters, corresponding to these main positions data and this density position data:
Wherein when the interruption parameter was first value, its pairing position data can be displayed, and when this interruption parameter was second value, its pairing position data then can not be displayed;
This interruption parameter d can be expressed as:
d=dTable(i):
D ∈ [0,1] wherein.
36. style of writing simulation system as claimed in claim 19 is characterized in that this style of writing generation component comprises:
One color parameter generation component is used for producing color parameter corresponding to these main positions data and this density position data by a random number generation component, and wherein this color parameter generation component is to utilize a color parameter to produce formula to produce this color parameter ρ i, this formula is to be expressed as:
Figure A031589950015C1
ρ wherein 1With ρ 2It is the systemic presupposition value;
One rate parameter generation component is used for producing the rate parameter corresponding to these main positions data and this density position data, and wherein this rate parameter generation component is to utilize a rate parameter to produce formula to produce this rate parameter V, and this formula is to be expressed as: V = f ( v ) = ( v max 3 - 3 v max v 2 + 2 v 3 v max 3 ) , Wherein v represents the spot speed of this writing pencil at this main positions coordinate, v MaxThe maximum rate value that expression one is preset;
One depth parameter generating assembly, be used for according to this force value, generation is corresponding to the depth parameter of these main positions data and this density position data, wherein these main positions data have maximum depth parameter, the density position data that heals far away apart from these main positions data then has the depth parameter that heals little, this depth parameter generating assembly is to utilize a depth parameter generating formula to produce this depth parameter lambda, and this formula is to be expressed as:
λ=(1-λ 0) (1-e -az)+λ 0, wherein a is a constant by user's definition, and z is a force value, λ 0Be the preset value of depth parameter, and when this force value during greater than a predetermined value, this depth parameter is a constant;
One is interrupted the parameter generating assembly, be used for producing interruption parameter corresponding to these main positions data and this density position data, to determine whether these main positions data and this density position data can be manifested, wherein this interruption parameter generating assembly comprises one and is interrupted the parameter setting table, have a plurality of interruption parameters, corresponding to these main positions data and this density position data, when the interruption parameter is first value, its pairing position data can be displayed, and when this interruption parameter is second value, its pairing position data then can not displayed, and this interruption parameter d can be expressed as:
D=dTable (i), wherein d ∈ [0,1]; And
One stroke color parameter generating assembly is used for according to this color parameter ρ i, rate parameter V, depth parameter lambda, be interrupted parameter d producing a stroke color parameter, and this stroke color parameter generating assembly is to utilize a stroke color parameter generating formula to calculate this stroke color parameters C I, j, this formula is to be expressed as:
C i , j = ( λ · C i - 1 , j + λ · C i , j - 1 2 λ ) * d * V ;
Wherein the stroke drawn of this writing pencil is to comprise m main positions data, and each main positions data is corresponding to n density position data, and C I, jThe pairing stroke color parameter of j density location coordinate of representing i main positions coordinate;
C wherein I, j-1=C I, 0i
37. style of writing analogy method, this method is that the computer main system and by a simulation style of writing is used for importing the method that the handwriting pad of hand-written data is implemented, aforementioned handwriting pad also includes one and is used for detecting the main positions coordinate of nib on aforementioned handwriting pad to produce the position transducer of main positions data, with one be used for detecting this nib and put on pressure on the aforementioned handwriting pad to produce the pressure transducer of a force value, this method includes:
Be transfused to aforementioned hand-written data, these data comprise the main positions coordinate that produced by the aforementioned location sensor and detect a force value that is applied on the aforementioned handwriting pad by the aforementioned pressure sensor;
Convert the aforementioned pressure value to radius data;
According to aforementioned main positions coordinate data, produce positive vector data;
According to aforementioned radius data and aforementioned positive amount data, on the positive vector direction of aforementioned main positions coordinate data, produce a plurality of density position datas, be used for representing a plurality of density location coordinate;
According to the location coordination data of aforementioned nib at different time, the main line bar that draws, and according to aforementioned density position data, many density lines that draw is characterized in that each main positions coordinate data is corresponding to a plurality of density position datas.
38. style of writing analogy method as claimed in claim 37 is characterized in that aforementioned main system utilizes one pressure-radius conversion formula, converts this force value to this radius data This formula is to be expressed as:
Figure A031589950017C1
Wherein
Figure A031589950017C2
Be the maximum radius data of presetting.
39. style of writing analogy method as claimed in claim 38, it is characterized in that aforementioned main system be according to this location coordination data to obtain the instantaneous direction that aforementioned nib produces on location coordinate, its computing formula is to be expressed as:
V i = O i - O i - 1 | O i - O i - 1 | ;
V wherein iRepresent that this nib is at time t iInstantaneous direction, O iRepresent that this nib is at time t iThe main positions coordinate, and O I-1Represent that this nib is at time t I-1The main positions coordinate;
Suppose V i=(x, y), these positive vector data N then i=(y, x).
40. style of writing analogy method as claimed in claim 39 is characterized in that aforementioned main system is to utilize a density position to produce formula to produce this a plurality of density position datas, this formula is to be expressed as:
Wherein, O iRepresent that this nib is at time t iThe main positions coordinate,
Figure A031589950017C5
Be this radius data, N iBe these positive vector data, n is a systemic presupposition value, with the number that decides this density position data, and b I, jJ density location coordinate representing i main positions coordinate;
Wherein the stroke drawn of this writing pencil is to comprise m main positions data, and each main positions data is corresponding to n density position data.
41. style of writing analogy method as claimed in claim 40, it is characterized in that aforementioned main system is to utilize a style of writing production method to produce this main line bar and this many density lines, suppose that this main line bar is made up of m main coordinate position, and each main positions coordinate is corresponding to n density location coordinate, and this method comprises:
Calculate the tangent line vector T of i and i+1 location coordinate iWith T I+1, its formula is:
Figure A031589950018C1
P wherein I+1Represent i+1 location coordinate, and P I-1Represent i-1 location coordinate; Utilize mixed function (Blending functions) to calculate the interpolate value between i and i+1 location coordinate, this mixed function is to be expressed as:
Obtain a radix curve (Cardinal Splines Curve), its formula is: P → = P → i * h 1 + P → i + 1 * h 2 + T → i * h 3 + T → i + 1 * h 4 ; And
Calculate the middle base cursor position between i and i+1 the location coordinate, and all coordinate positions are coupled together, to produce a smooth-going curve, the computing formula of this middle base cursor position is:
P=S*h*C;
Wherein
S = s 3 s 2 s 1 1 , C = P i P i + 1 T i T i + 1 , h = 2 - 2 1 1 - 3 3 - 2 - 1 0 0 1 0 1 0 0 0 .
42. style of writing analogy method as claimed in claim 37 is characterized in that aforementioned main system also includes a color parameter generation component, is used for producing color parameter corresponding to these main positions data and this density position data by a random number generation component.
43. style of writing analogy method as claimed in claim 42 is characterized in that aforementioned color parameter generation component is to utilize a color parameter to produce formula to produce this color parameter ρ i, this formula is to be expressed as: ρ wherein 1With ρ 2It is the systemic presupposition value.
44. style of writing analogy method as claimed in claim 43 is characterized in that aforementioned main system also comprises:
One rate parameter generation component is used for producing the rate parameter corresponding to these main positions data and this density position data; And
One speed-color parameter generation component is used for producing one speed-color parameter according to this color parameter and this rate parameter.
45. style of writing analogy method as claimed in claim 44 is characterized in that this rate parameter generation component is to utilize a rate parameter to produce formula to produce this rate parameter V, this formula is to be expressed as:
V = f ( v ) = ( v max 3 - 3 v max v 2 + 2 v 3 v max 3 ) ;
Wherein v represents the spot speed of this writing pencil at this main positions coordinate, ν MaxThe maximum rate value that expression one is preset;
This speed-color parameter generation component is to utilize one speed-color parameter to produce formula to produce this speed-color parameter ρ ' i, this formula is to be expressed as:
ρ′ i=ρ i*V。
46. style of writing analogy method as claimed in claim 37 is characterized in that aforementioned main system comprises:
One depth parameter generating assembly is used for according to this force value, produces the depth parameter corresponding to these main positions data and this density position data.
47. style of writing analogy method as claimed in claim 46 is characterized in that these main positions data have maximum depth parameter, the density position data that heals far away apart from these main positions data then has the depth parameter that heals little.
48. style of writing analogy method as claimed in claim 47 is characterized in that this depth parameter generating assembly is to utilize a depth parameter generating formula to produce this depth parameter lambda, this formula is to be expressed as:
λ=(1-λ 0)(1-e -az)+λ 0
Wherein a is a constant by user's definition, and z is a force value, λ 0Preset value for depth parameter:
Wherein when this force value during greater than a predetermined value, this depth parameter is a constant.
49. style of writing analogy method as claimed in claim 37 is characterized in that aforementioned main system comprises:
One plays up the parameter generating assembly, is used for producing a plurality of position datas of playing up according to these main positions data and this radius data, and to represent a plurality of location coordinate of playing up, wherein each main positions data is corresponding to a plurality of position datas of playing up.
50. style of writing analogy method as claimed in claim 49, it is characterized in that this plays up the parameter generating assembly and comprise and play up parameter D, with with decide per two this play up distance between the position data q, and utilize one to play up the position and produce formula and produce this and play up position data, so that littler apart from these main positions data distance of playing up between the position data far away that heals, this formula is to be expressed as:
∂ q ∂ t = D ▿ 2 q ;
In this formula be to utilize method of finite difference (finite difference method) to be unfolded as follows:
⇒ q i + 1 - q i - 1 2 t = D · ( q i + 1 - 2 q i + q i - 1 )
⇒ q i + 1 = q i - 1 + 2 Dt · q i + 1 - 4 Dt q i + 2 Dt q i - 1 .
⇒ q i + 1 = ( 1 1 - 2 Dt ) ( - 4 Dt q i + ( 1 + 2 Dt ) q i - 1 )
51. style of writing analogy method as claimed in claim 49, it is characterized in that each this to play up position data be to play up color data corresponding to one, and this is played up the parameter generating assembly and comprises and play up parameter D, with with decide per two this play up change color between the color data q, and utilize one to play up color and produce formula and produce this and play up color data, so that littler apart from these main positions data difference of playing up between the color data of playing up position data far away that heals, this formula is to be expressed as:
∂ q ∂ t = D ▿ 2 q ;
Wherein this formula is to utilize method of finite difference (finite difference method) to be unfolded as follows:
⇒ q i + 1 - q i - 1 2 t = D · ( q i + 1 - 2 q i + q i - 1 )
⇒ q i + 1 = q i - 1 + 2 Dt · q i + 1 - 4 Dt q i + 2 Dt q i - 1 .
⇒ q i + 1 = ( 1 1 - 2 Dt ) ( - 4 Dt q i + ( 1 + 2 Dt ) q i - 1 )
52. style of writing analogy method as claimed in claim 37 is characterized in that aforementioned main system comprises:
One is interrupted the parameter generating assembly, is used for producing the interruption parameter corresponding to these main positions data and this density position data, to determine whether these main positions data and this density position data can be manifested.
53. style of writing analogy method as claimed in claim 52 is characterized in that this interruption parameter generating assembly comprises one and is interrupted the parameter setting table, has a plurality of interruption parameters, corresponding to these main positions data and this density position data:
Wherein when the interruption parameter was first value, its pairing position data can be displayed, and when this interruption parameter was second value, its pairing position data then can not be displayed;
This interruption parameter d can be expressed as:
d=dTable(i):
D ∈ [0,1] wherein.
54. style of writing analogy method as claimed in claim 37 is characterized in that aforementioned main system comprises:
One color parameter generation component is used for producing color parameter corresponding to these main positions data and this density position data by a random number generation component, and wherein this color parameter generation component is to utilize a color parameter to produce formula to produce this color parameter ρ i, this formula is to be expressed as: ρ wherein 1With ρ 2It is the systemic presupposition value;
One rate parameter generation component is used for producing the rate parameter corresponding to these main positions data and this density position data, and wherein this rate parameter generation component is to utilize a rate parameter to produce formula to produce this rate parameter V, and this formula is to be expressed as: V = f ( v ) = ( v max 3 - 3 v max v 2 + 2 v 3 v max 3 ) , Wherein v represents the spot speed of this writing pencil at this main positions coordinate, v MaxThe maximum rate value that expression one is preset;
One depth parameter generating assembly, be used for according to this force value, generation is corresponding to the depth parameter of these main positions data and this density position data, wherein these main positions data have maximum depth parameter, the density position data that heals far away apart from these main positions data then has the depth parameter that heals little, this depth parameter generating assembly is to utilize a depth parameter generating formula to produce this depth parameter lambda, and this formula is to be expressed as:
λ=(1-λ 0) (1-e -az)+λ 0, wherein a is a constant by user's definition, and z is a force value, λ 0Be the preset value of depth parameter, and when this force value during greater than a predetermined value, this depth parameter is a constant;
One is interrupted the parameter generating assembly, be used for producing interruption parameter corresponding to these main positions data and this density position data, to determine whether these main positions data and this density position data can be manifested, wherein this interruption parameter generating assembly comprises one and is interrupted the parameter setting table, have a plurality of interruption parameters, corresponding to these main positions data and this density position data, when the interruption parameter is first value, its pairing position data can be displayed, and when this interruption parameter is second value, its pairing position data then can not displayed, and this interruption parameter d can be expressed as:
D=dTable (i), wherein d ∈ [0,1]; And
One stroke color parameter generating assembly is used for according to this color parameter ρ i, rate parameter V, depth parameter lambda, be interrupted parameter d producing a stroke color parameter, and this stroke color parameter generating assembly is to utilize a stroke color parameter generating formula to calculate this stroke color parameters C I, j, this formula is to be expressed as:
C i , j = ( λ · C i - 1 , j + λ · C i , j - 1 2 λ ) * d * V ;
Wherein the stroke drawn of this writing pencil is to comprise m main positions data, and each main positions data is corresponding to n density position data, and C I, jThe pairing stroke color parameter of j density location coordinate of representing i main positions coordinate;
C wherein I, j-1=C I, 0i
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