CN104200526A - Generation method and application of digital paper fiber network structure - Google Patents

Abstract

The invention discloses a generation method and application of a digital paper fiber network structure. The method is characterized by including the steps: 1, establishing a digital paper fiber network space; 2, defining single fibers and the digital paper fiber network structure; 3, generating single fibers, with the position, direction and length complying with random distribution, on the upper surface of the digital paper fiber network space; 4, judging whether the single fibers are allowed to be settled on a tangent plane by means of particle settlement rules; 5, computing deformation of the bottom fibers of the single fibers in the Z-axis direction on the tangent plane that the single fibers are located on; 6, completing generation and deformation of all the single fibers so as to complete generation of the digital paper fiber network structure. The three-dimensional fiber network structure can be given to digital paper, and technical support is provided for the digital paper to show ink expression effect and handwriting expression effect as same as those of paper.

Description

A kind of generation method and application thereof of digital paper fibrillar meshwork structure

Technical field

The present invention relates to computerized information field, particularly a kind of generation method and application thereof of digital paper fibrillar meshwork structure.

Background technology

Paper is the three-dimensional fiber network being formed by irregular fiber stochastic distribution, this three-dimensional fiber network has " overall consistent, local random " feature, between fiber, interweave and be staggered to form space between fiber intersection points and fiber, fiber intersection points has absorption to ink, between fiber, space has formed kapillary, capillary force capillaceous has sucking action to ink, ink can be taken to another place from a place, in the time that the toner particle size in ink is inhomogeneous, the ink particle that is greater than space between fiber will be stopped by fiber and form a region that color is deep, when paper is subject to hand-written power in the vertical direction, deformation can occur, thereby the thickness of paper reduces.

Digital paper, is called again electronic document, refers to by the software and hardware technology by means of under computer environment, by the progressively function such as storage, transmission, reading of substitute materials paper of digitized mode, gives its stronger function simultaneously.

At present representative digital paper has the Word in pdf document and the Office of Microsoft series, especially the Office series that Adobe company releases.And pdf document and Word file used and study discovery, existing digital paper is only paid close attention to input, expression and the storage of content, the essential characteristics that to have ignored paper be network of fibers, causes digital paper can not represent truly that ink is expressed and the expression of hand-written power.

Summary of the invention

The present invention solves the weak point that above-mentioned prior art exists, a kind of generation method and application thereof of digital paper fibrillar meshwork structure are proposed, give digital paper with three-dimensional fiber network structure, for digital paper represents the ink expression effect identical with paper and hand-written power expression effect provides technical support.

The present invention is that technical solution problem adopts following technical scheme:

The feature of the generation method of a kind of digital paper fibrillar meshwork structure of the present invention is to carry out as follows:

Step 1, set up digital paper network of fibers space;

Taking any point in three dimensions as initial point O, set up rectangular coordinate system in space O-XYZ, taking described initial point O as starting point, extend along the positive dirction of X-axis, Y-axis and Z axis respectively, set up length and be respectively the digital paper network of fibers space of x, y, z; The bottom surface of setting described digital paper network of fibers space is A; The Z axis coordinate figure of described bottom surface A is 0;

Along the direction parallel with described X-axis, Y-axis and Z axis, even partition is carried out in described digital paper network of fibers space respectively and obtain cellular network, taking minimum unit in described cellular network as a unit cell;

Step 2, definition single fiber and digital paper fibrillar meshwork structure

Suppose to have f root single fiber to be designated as L={l ₁, l ₂..., l _p..., l _f, p ∈ (1, f), l _prepresent p root single fiber; Described single fiber is made up of several fibrous particles, and the fibrous particle number of setting described single fiber is the number of the unit cell that takies in described digital paper network of fibers space of described single fiber; The width of setting described single fiber is a fibrous particle, thickness is M fibrous particle, the single fiber of described M fibrous particle thickness is divided into bottom fiber, mean fiber and top layer fiber, the thickness that defines described bottom fiber and top layer fiber is respectively 1 fibrous particle, and the thickness of described mean fiber is M-2 fibrous particle; The fibrous particle number defining in described low layer fiber and top layer fiber is n, and the particle number of mean fiber is (M-2) × n, and the length that defines described single fiber is n;

Described digital paper fibrillar meshwork structure is be deposited in described digital paper network of fibers space and form along Z axis negative direction by root by f root single fiber L;

The bottom surface that defines described digital paper fibrillar meshwork structure is the bottom surface A in digital paper network of fibers space, and the thickness of described digital paper fibrillar meshwork structure is that f root single fiber is deposited to the height of deposition along Z axis positive dirction behind described digital paper network of fibers space; Described digital paper network of fibers space is cut along Z axis negative direction precipitation by described single fiber, form the tangent plane at single fiber place; The length n that the width of the tangent plane at described single fiber place is described single fiber; The height of the tangent plane at described single fiber place is the height z in described digital paper network of fibers space; The direction of the tangent plane at described single fiber place is that the coordinate figure in described rectangular coordinate system in space O-XYZ obtains by the shared unit cell of the bottom fiber of described single fiber;

Step 3, make p=1;

Step 4, generate position, direction and length at the upper surface in described digital paper network of fibers space and obey the p root single fiber l of stochastic distribution _p;

Step 5, utilize p root single fiber l described in particle shown in formula (1) precipitation rule judgment _pwhether allow to be deposited on the tangent plane at place; If formula (1) is set up, represent to allow precipitation, and perform step 6, otherwise execution step 4 regenerates p root single fiber l _p;

h _p≤α×H _p (1)

In formula (1), h _pfor p root single fiber l in described digital paper network of fibers space _pthe mean value of all single fibers height of deposition in Z-direction on the tangent plane at place; α is constant, α ∈ [0,1]; H _pfor all p-1 root single fibers deposit to the mean value of height of deposition in Z-direction forming in described digital paper network of fibers space;

And have:

$h_p=\frac{1}{n}\×\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{h}_i---\left(2\right)$

In formula (2), h _ifor the height of β point place digital paper fibrillar meshwork structure; Described β point is the described p root single fiber l of composition _pbottom fiber in i the forward projection point that unit cell forms on the A of bottom surface that fibrous particle is shared; 1≤i≤n;

H in formula (1) _pfor:

$H_p=\frac{1}{m}\×\underset{j=1}{\overset{m}{\mathrm{\Σ}}}{H}_j---\left(3\right)$

In formula (3), m is the number of the unit cell of upper surface in described digital paper fibrillar meshwork structure, 1≤j≤m; H _jfor the height of the digital paper fibrillar meshwork structure at j the unit cell position place of upper surface in described digital paper fibrillar meshwork structure;

Step 6, at described p root single fiber l _pin the tangent plane at place, calculate described p root single fiber l _pthe deformation of bottom fiber in Z-direction;

Step 6.1, define described p root single fiber l _pthe state of the each unit cell in the tangent plane at place is " sky ", " deformation " or " completing "; " sky " characterizes with " 0 " value, " deformation " characterizes with " 1 " value, " complete " with " p " value and characterize, described " sky " refers to that unit cell place does not have fibrous particle, described " deformation " refers to that described unit cell place exists the fibrous particle in deformation, and described " completing " refers to that the fibrous particle at described unit cell place has completed deformation;

Step 6.2, make i=1;

Step 6.3, utilize formula (4) to judge that the t moment forms described p root single fiber l _pbottom fiber in i fibrous particle whether allow to occur deformation, if formula (4) is set up, represent to allow deformation, i fibrous particle in described bottom fiber precipitates the height of a unit cell to Z axis negative direction; Otherwise, represent not allow deformation, the unit cell at i fibrous particle place in described bottom fiber keeps the state in t moment;

|Z _i-Z _q|≤F (4)

In formula (4), Z _irepresent in described bottom fiber the height value of i fibrous particle in the Z-direction in described digital paper network of fibers space; Z _qrepresent and described p root single fiber l _pbottom fiber in the height value of adjacent q the fibrous particle of i fibrous particle in the Z-direction in described digital paper network of fibers space; F is described p root single fiber l _pthe largest deformation amount of bottom fiber, its span be [1, M);

Step 6.4, the value of i+1 is assigned to i;

Step 6.5, judge whether i≤n sets up, if set up, perform step 6.3; Otherwise t+1 assignment, to t, and is performed step to 6.2, until described p root single fiber l _pbottom fiber in the state of each fibrous particle for till " completing ", thereby complete the precipitation of described p root single fiber;

Step 7, the value of p+1 is assigned to p;

Step 8, judge whether p≤f sets up, if set up, perform step 4, otherwise, the generation of described digital paper fibrillar meshwork structure completed.

The feature of the attribute acquisition methods of a kind of digital paper fibrillar meshwork structure of the present invention is to carry out as follows:

The definition of step 1, association attributes and storage matrix

Setting the unit cell in described digital paper fibrillar meshwork structure with identical X-axis coordinate and Y-axis coordinate is measuring unit;

The association attributes that defines described digital paper fibrillar meshwork structure and ink expression is:

Between other measuring units that point of crossing number G in described measuring unit between single fiber and other single fibers, described measuring unit are adjacent, there is the number R of same single fiber and the space number S between single fiber and other single fibers in described measuring unit;

Defining described digital paper fibrillar meshwork structure expresses relevant physical attribute to hand-written power and is:

The thickness U of digital paper fibrillar meshwork structure in described measuring unit;

The matrix of setting the described point of crossing number G of storage is bondedNum[x] [y]; Setting other measuring unit numbers adjacent with described measuring unit is w; The matrix of storing described same single fiber number R is connectingFiberNum[x] [y] [w];

The matrix of setting the described space number S of storage is poreNum[x] [y]; The matrix of storing described thickness U is thickness[x] [y];

Obtaining of step 2, association attributes

Described matrix bondedNum[x] value of arbitrary element is that the sum of the unit cell that is " completing " of the state by comprising in described measuring unit obtains divided by M in [y];

Described matrix connectingFiberNum[x] w the value of arbitrary group is respectively the number of identical " p " value in w the measuring unit that described measuring unit is adjacent in [y] [w];

Described matrix poreNum[x] value of arbitrary element is " sky " for the state comprising in described measuring unit in [y] unit cell number;

Described matrix thickness[x] value of arbitrary element in [y] is the thickness of digital paper fibrillar meshwork structure in described measuring unit.

The feature of the property store method of a kind of digital paper fibrillar meshwork structure of the present invention is to carry out as follows:

Step 1, the file storage structure that defines the attribute of described digital paper fibrillar meshwork structure based on XML Schema are XSD file; Described XSD file comprises: Property Name, data type and restrictive condition;

Step 2, store that measured digital paper fibrillar meshwork structure and ink are expressed and hand-written power is expressed relevant property value to meeting in the XML file of the defined file storage structure of described XSD file, thereby obtain the XML file that includes correlation attribute value.

Compared with the prior art, beneficial effect of the present invention is embodied in:

1, the present invention gives digital paper with three-dimensional fiber network structure by generating digital paper fibre network structure, obtain that digital paper three-dimensional fiber network structure and ink are expressed and hand-written power is expressed relevant attribute, for digital paper represents the ink expression effect identical with paper and hand-written power expression effect provides technical support;

2, the digital paper fibrillar meshwork structure that the present invention generates is to precipitate by root by numerous single fibers and deformation occurs to generate, take into full account the attribute of fiber, thereby the digital paper fibrillar meshwork structure that makes generation more approaches the fibrillar meshwork structure of true paper, for the authenticity that ink is expressed and hand-written power is expressed provides basis;

3, the present invention generates different digital paper fibrillar meshwork structures by the fiber of selecting different attribute, realize the diversity of institute's generating digital paper fibre network structure, thereby realize, the digital paper fibrillar meshwork structure obtaining is expressed to ink and hand-written power is expressed the diversity of relevant attribute, for the diversity of ink expression effect and hand-written power expression effect is given security;

4, the present invention realizes the spatial discretization of digital paper network of fibers by digital paper network of fibers space being divided into cellular network, record the state of each position in digital paper network of fibers space taking unit cell as least unit, thereby record the state of digital paper fibrillar meshwork structure, for the attribute of measuring digital paper fibrillar meshwork structure provides measurement data;

5, the present invention is divided into bottom fiber, mean fiber and top layer fiber the single fiber of M fibrous particle thickness, thereby can utilize bottom fiber to calculate the deformation of single fiber, has simplified the calculating of single fiber deformation;

Position, direction and the length of the single fiber that 6, the present invention generates are obeyed stochastic distribution, ensure that the digital paper fibrillar meshwork structure generating has the feature of " local random ", the present invention adopts particle precipitation rule that the position of single fiber precipitation is evenly distributed in digital paper network of fibers space, ensures that the digital paper fibrillar meshwork structure generating has the feature of " entirety is consistent ";

7, the present invention, the unit cell with identical X-axis coordinate and Y-axis coordinate as measuring unit, instead of using unit cell as measuring unit, makes measured attribute in embodying described digital paper fibrillar meshwork structure, has reduced the data volume of storing;

8, the present invention gives unit cell and " completes " label that state is corresponding single fiber, when making to measure attribute, can obtain the number that has same single fiber between other measuring units that in measuring unit, the point of crossing number between single fiber and other single fibers and measuring unit are adjacent according to different " completing " states, reduce the difficulty of property measurement.

Brief description of the drawings

Fig. 1 is that in the embodiment of the present invention, digital paper fibrillar meshwork structure generates method flow diagram;

Fig. 2 is the deformation process flow diagram of the bottom fiber of single fiber in the embodiment of the present invention;

Fig. 3 is that the bottom fiber of single fiber in the embodiment of the present invention does not also have the single fiber precipitation process in when precipitation on the tangent plane at single fiber place;

Fig. 4 is the bottom fiber of single fiber in embodiment of the present invention precipitation process when existing single fiber precipitation on the tangent plane at single fiber place;

Fig. 5 is F=1 in the embodiment of the present invention, M=3, the digital paper fibrillar meshwork structure that when f=1000, single fiber generates;

Fig. 6 is F=1 in the embodiment of the present invention, M=3, the digital paper fibrillar meshwork structure that when f=1500, single fiber generates;

Fig. 7 is F=1 in the embodiment of the present invention, M=5, the digital paper fibrillar meshwork structure that when f=1500, single fiber generates;

Fig. 8 is F=3 in the embodiment of the present invention, M=5, the digital paper fibrillar meshwork structure that when f=1500, single fiber generates.

Embodiment

The function that the present embodiment is realized is: generate described digital paper fibrillar meshwork structure and measure described digital paper fibrillar meshwork structure and express relevant attribute to ink expression and hand-written power, defining described digital paper fibrillar meshwork structure and ink expression and hand-written power expresses the file storage structure of association attributes and stores measured attribute in XML file, concrete, carry out according to following four steps:

1, the generation of digital paper fibrillar meshwork structure;

2, the attribute of digital paper fibrillar meshwork structure obtains;

3, the definition of the file storage structure of the attribute of digital paper fibrillar meshwork structure;

Digital paper fibrillar meshwork structure and ink are expressed and the file storage structure of hand-written power expression association attributes refers to the XSD file that defines the file storage structure of generating digital paper fibre network structure and ink expression and hand-written power expression association attributes based on XML Schema;

XML (eXtensible Markup Language) is extend markup language, is the source language that a kind of user of permission defines the markup language of oneself.XML provides unified method to describe and exchange the structural data that is independent of application program.For example, XML is commonly used to create the document being used by types of applications program.It provides a kind of form of description scheme data, has simplified the exchange of data in network and has represented, code, data and expression are separated, and as the standard format of exchanges data.

And XML Schema is the description of a class XML document structure.XML Schema language is also referred to as XML Schema Definition (XSD).XML Schema provides the method for data in description and verifying XML environment.It has illustrated the content of describing XML document with which element and attribute, and each element allows the position occurring, the data type of permission, and which attribute span and it have, and which element can occur in which other element, the order of appearance etc.The use of XSD ensures that file builds in consistent mode.XSD can be created by user, and is supported by the mark of correlation language such as XML.By using xml editor, user can operate XML file and create the XML document of the XSD that meets user's establishment.Can create XML document, make it meet one or more XSD.

Concrete, the XSD file that definition digital paper fibrillar meshwork structure is expressed with ink and hand-written power is expressed the file storage structure of association attributes is: title, data type and the restrictive condition of the element that definition digital paper fibrillar meshwork structure and ink expression and hand-written power expression association attributes are corresponding, restrictive condition is the processing mode to characters such as the space character in the character string of storage, carriage return character, line feed character, Tab characters, and processing mode comprises: (1) retains the original characters form of institute's storing character string; (2) carriage return character in delete character string, line feed character, Tab character: (3) replace carriage return character, line feed character, Tab character with single space character: (4) are with multiple connected space characters in single space character substitute character string etc.;

4, the file storage of the attribute of digital paper fibrillar meshwork structure;

File storage structure XSD file based on defined digital paper fibrillar meshwork structure attribute, store measured digital paper fibrillar meshwork structure and express relevant property value in XML file to ink expression and hand-written power, thereby the XML file of storing measured digital paper fibrillar meshwork structure and ink expression and hand-written power expression correlation attribute value can be integrated in the XML file of existing digit paper, making to store measured digital paper fibrillar meshwork structure can exchange and share from the XML file of ink expression and hand-written power expression correlation attribute value between different system and different programming language, for ink is expressed and hand-written power is expressed relevant application and provided the relative attribute of digital paper fleece line structure to improve ink and express and the validity of hand-written power expression.

As shown in Figure 1, concrete, a kind of generation method of digital paper fibrillar meshwork structure is to carry out as follows:

Step 1, beginning; Represent to start the generation method of combine digital paper fibre network structure; The development environment of the present embodiment is Windows XP and Matlab2013a, and running environment is Windows XP;

Step 2, set up digital paper network of fibers space;

Taking any point in three dimensions as initial point O, set up rectangular coordinate system in space O-XYZ, taking initial point O as starting point, extend along the positive dirction of X-axis, Y-axis and Z axis respectively, set up length and be respectively the digital paper network of fibers space of x, y, z; The bottom surface of setting digital paper network of fibers space is A; The Z axis coordinate figure of bottom surface A is 0;

Digital paper network of fibers space, has determined position and the space of generating digital paper fibre network structure in three dimensions, and the length in digital paper network of fibers space is determined according to the length and width of digital paper fibrillar meshwork structure, thickness; The length in digital paper network of fibers space and the wide length that equals digital paper fibrillar meshwork structure and wide, the height in digital paper network of fibers space is 1.5 times to 3 times of thickness of digital paper fibrillar meshwork structure; The length of digital paper fibrillar meshwork structure and wide be to set in advance;

Along the direction parallel with X-axis, Y-axis and Z axis, even partition is carried out in digital paper network of fibers space respectively and obtain cellular network, taking minimum unit in cellular network as a unit cell; According to actual application demand, unit cell can be a pixel, can be also several pixels;

Step 3, definition single fiber and digital paper fibrillar meshwork structure

Suppose to have f root single fiber to be designated as L={l ₁, l ₂..., l _p..., l _f, p ∈ (1, f), l _prepresent p root single fiber; Single fiber is made up of several fibrous particles, sets the fibrous particle number of single fiber and be the number of the unit cell that single fiber takies in digital paper network of fibers space; The width of setting single fiber is a fibrous particle, thickness is M fibrous particle, M ∈ [2,8], the single fiber of M fibrous particle thickness is divided into bottom fiber, mean fiber and top layer fiber, the thickness of definition bottom fiber and top layer fiber is respectively 1 fibrous particle, and the thickness of mean fiber is M-2 fibrous particle; Fibrous particle number in definition low layer fiber and top layer fiber is n, and the particle number of mean fiber is (M-2) × n, and the length of definition single fiber is n;

Digital paper fibrillar meshwork structure is be deposited in digital paper network of fibers space and form along Z axis negative direction by root by f root single fiber L;

F is larger, the digital paper fibrillar meshwork structure generating is more closely knit, otherwise, the digital paper fibrillar meshwork structure generating is more sparse, F=1, M=3, the digital paper fibrillar meshwork structure generating when f=1000 as shown in Figure 5, F=1, M=3, the digital paper fibrillar meshwork structure generating when f=1500 is as shown in Figure 6;

The bottom surface of definition digital paper fibrillar meshwork structure is the bottom surface A in digital paper network of fibers space, the thickness of digital paper fibrillar meshwork structure is that f root single fiber is deposited to the height of deposition along Z axis positive dirction behind digital paper network of fibers space, and the thickness of digital paper fibrillar meshwork structure is 10 times to 18 times of single fiber thickness; Digital paper network of fibers space is cut along Z axis negative direction precipitation by single fiber, form the tangent plane at single fiber place; The width of the tangent plane at single fiber place is the length n of single fiber; The height of the tangent plane at single fiber place is the height z in digital paper network of fibers space; The direction of the tangent plane at single fiber place is that the coordinate figure in rectangular coordinate system in space O-XYZ obtains by the shared unit cell of the bottom fiber of single fiber;

Step 4, make p=1; Initialization p value is 1;

Step 5, generate position, direction and length at the upper surface in digital paper network of fibers space and obey the p root single fiber l of stochastic distribution _p; The p root single fiber l generating _pbe parallel to bottom surface A; The average length of setting single fiber is a, a ∈ [30,100]; Set p root single fiber l _px coordinate figure and the Y coordinate figure at point midway place be respectively cx and cy, set p root single fiber l _pdirection be o, set p root single fiber l _px coordinate figure and Y coordinate figure near initial point O end are respectively tx ₁and ty ₁, set p root single fiber l _px coordinate figure and Y coordinate figure away from initial point O end are respectively tx ₂and ty ₂;

In the present embodiment, p root single fiber l _pthe X coordinate figure of position and Y coordinate figure obey respectively on [0, x] be uniformly distributed and [0, y] on be uniformly distributed, p root single fiber l _pdirection obey being uniformly distributed on [0,2 π], p root single fiber l _plength n to obey average be a Poisson distribution, utilize formula (1)～formula (4) to obtain tx ₁and ty ₁and tx ₂and ty ₂; Thereby, determine p root single fiber l _pin the position of the upper surface in digital paper network of fibers space;

${\mathrm{tx}}_1=\mathrm{cx}-\frac{n}{2}\×\cos o---\left(1\right)$

${\mathrm{ty}}_1=\mathrm{cx}-\frac{n}{2}\×\sin o---\left(2\right)$

${\mathrm{tx}}_2=\mathrm{cx}+\frac{n}{2}\×\cos o---\left(3\right)$

${\mathrm{ty}}_2=\mathrm{cx}+\frac{n}{2}\×\sin o---\left(4\right)$

Step 6, utilize particle shown in formula (5) precipitation rule judgment p root single fiber l _pwhether allow to be deposited on the tangent plane at place; If formula (5) is set up, represent to allow precipitation, and perform step 7, otherwise execution step 5 regenerates p root single fiber l _p;

h _p≤α×H _p (5)

In formula (5), h _pfor p root single fiber l in digital paper network of fibers space _pthe mean value of all single fibers height of deposition in Z-direction on the tangent plane at place; α is constant, α ∈ [0,1], α=0.9 in the present embodiment; H _pfor all p-1 root single fibers deposit to the mean value of height of deposition in Z-direction forming in digital paper network of fibers space;

And have:

$h_p=\frac{1}{n}\×\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{h}_i---\left(6\right)$

In formula (6), h _ifor the height of β point place digital paper fibrillar meshwork structure; β point is composition p root single fiber l _pbottom fiber in i the forward projection point that unit cell forms on the A of bottom surface that fibrous particle is shared; 1≤i≤n;

H in formula (5) _pfor:

$H_p=\frac{1}{m}\×\underset{j=1}{\overset{m}{\mathrm{\Σ}}}{H}_j---\left(7\right)$

In formula (7), m is the number of the unit cell of upper surface in digital paper fibrillar meshwork structure, 1≤j≤m, m=x × y; H _jfor the height of the digital paper fibrillar meshwork structure at j the unit cell position place of upper surface in digital paper fibrillar meshwork structure;

Step 7, at p root single fiber l _pin the tangent plane at place, calculate p root single fiber l _pthe deformation of bottom fiber in Z-direction; Concrete deformation process as shown in Figure 2, carries out in accordance with the following steps:

Step 7.1, beginning; Represent to start to carry out the deformation process of bottom fiber in Z-direction;

Step 7.2, definition p root single fiber l _pthe state of the each unit cell in the tangent plane at place is " sky ", " deformation " or " completing "; " sky " characterizes with " 0 " value, " deformation " characterizes with " 1 " value, " complete " with " p " value and characterize, " sky " refers to that unit cell place does not have fibrous particle, " deformation " refers to that unit cell place exists the fibrous particle in deformation, and " completing " refers to that the fibrous particle at unit cell place has completed deformation;

Step 7.3, make i=1;

Step 7.4, utilize formula (8) to judge that the t moment forms p root single fiber l _pbottom fiber in i fibrous particle whether allow to occur deformation, if formula (8) set up, represent allow deformation, perform step 7.5; Otherwise, represent not allow deformation, perform step 7.6;

|Z _i-Z _q|≤F (8)

In formula (8), Z _irepresent in bottom fiber the height value of i fibrous particle in the Z-direction in digital paper network of fibers space; Z _qrepresent and p root single fiber l _pbottom fiber in the height value of adjacent q the fibrous particle of i fibrous particle in the Z-direction in digital paper network of fibers space; F is p root single fiber l _pthe largest deformation amount of bottom fiber, its span be [1, M);

F is larger, single fiber deformation in Z-direction is larger, and the digital paper fibrillar meshwork structure of generation is more closely knit, otherwise, single fiber deformation in Z-direction is less, the digital paper fibrillar meshwork structure generating is more sparse, F=1, M=5, the digital paper fibrillar meshwork structure that when f=1500, single fiber generates as shown in Figure 7, F=3, M=5, the digital paper fibrillar meshwork structure that when f=1500, single fiber generates is as shown in Figure 8;

I fibrous particle in step 7.5, bottom fiber is to the height of a unit cell of Z axis negative direction precipitation, execution step 7.7; If the coordinate of i fibrous particle in bottom fiber is (X _i, Y _i, Z _i), i fibrous particle in bottom fiber is (X to the coordinate after the height of a unit cell of Z axis negative direction precipitation _i, Y _i, Z _i-1);

The unit cell at i fibrous particle place in step 7.6, bottom fiber keeps the state in t moment;

Step 7.7, the value of i+1 is assigned to i;

Step 7.8, judge whether i≤n sets up; If set up, perform step 7.4; Otherwise execution step 7.9;

Step 7.9, judge p root single fiber l _pbottom fiber in the state of each fibrous particle be " completing "; If so, complete the precipitation of p root single fiber; Otherwise, execution step 7.10;

Step 7.10, by t+1 assignment to t, and perform step 7.3;

Step 7.11, end.Represent p root single fiber l _pthe deformation process of bottom fiber in Z-direction carry out and finish, thereby complete p root single fiber l _pdeformation process in Z-direction;

Suppose p root single fiber l _pcoordinate on the width of the tangent plane at place from left to right increases progressively, and the coordinate on height increases progressively from top to bottom, p root single fiber l _pthe state of the each unit cell on the tangent plane at place changes according to following rule:

1, the t moment, if the state that the state of unit cell (Z, i) is " deformation " and unit cell (Z+F, i-1) is " completing ", the state of t+1 moment unit cell (Z, i) is " completing ";

2, the t moment, if the state that the state of unit cell (Z, i) is " deformation " and unit cell (Z-1, i) is " completing " or " deformation ", the state of t+1 moment unit cell (Z, i) is " completing ";

3, the t moment, if the state that the state of unit cell (Z, i) is " deformation " and unit cell (Z+F, i+1) is " completing ", the state of t+1 moment unit cell (Z, i) is " completing ";

4, the t moment, if unit cell (Z, i) state is " deformation " and unit cell (Z+F, i-1) state is that the state that the state of " deformation " or " sky " and unit cell (Z-1, i) is " sky " and unit cell (Z+F, i+1) is " deformation " or " sky ", t+1 moment unit cell (Z, i) state is " sky ", and the state of unit cell (Z-1, i) is " deformation ";

5, the t moment, if the state of unit cell (Z, i) is " completing ", the state of t+1 moment unit cell (Z, i) is " completing ";

6, the t moment, if the state that the state of unit cell (Z, i) is " sky " and unit cell (Z+1, i) is " sky ", the state of t+1 moment unit cell (Z, i) is " sky ";

7, the t moment, if the state that the state of unit cell (Z, i) is " sky " and unit cell (Z+1, i) is " completing ", the state of t+1 moment unit cell (Z, i) is " sky ";

As shown in Figure 3, according to the direction of arrow, while being from left to right F=1, p root single fiber l _pwhen place tangent plane does not also have single fiber precipitation, p root single fiber l _pbottom fiber in the precipitation process of place tangent plane; P root single fiber l _pthe original state of the shared unit cell of bottom fiber be " deformation ", i.e. " 1 ", due to p root single fiber l _pthe shared unit cell of bottom fiber under the state of unit cell be all " sky ", therefore, p root single fiber l _pbottom fiber precipitate downwards along the height of a unit cell of the each precipitation of Z axis negative direction always, until be deposited to p root single fiber l _ptill the bottom of place tangent plane can not precipitate again, then p root single fiber l is set _pthe state of the unit cell that takies of bottom fiber be " completing ", i.e. " p ";

As shown in Figure 4, from left to right, while being F=1 according to the direction of arrow from top to bottom, p root single fiber l _pwhen the existing single fiber precipitation of place tangent plane, p root single fiber l _pbottom fiber in the precipitation process of place tangent plane; In order to simplify, p root single fiber l in Fig. 4 _pin the tangent plane of place, settled each single fiber only uses one " p " to represent, in reality, each single fiber represents with M " p "; P root single fiber l _pbottom fiber have 9 fibrous particles; P root single fiber l _pthe original state of the shared unit cell of bottom fiber be " deformation ", i.e. " 1 ", as shown in Fig. 4 a;

Due to p root single fiber l _pthe shared unit cell of bottom fiber under the state of unit cell be all " sky ", therefore, p root single fiber l _pbottom fiber precipitate downwards along the height of a unit cell of the each precipitation of Z axis negative direction always, until p root single fiber l _pthe shared unit cell of bottom fiber under unit cell when having state for " sky ", as shown in Figure 4 b;

Due to p root single fiber l _pbottom fiber in the state of unit cell under the 9th fibrous particle be " completing ", so p root single fiber l _pbottom fiber in the 9th fibrous particle can not precipitate downwards, thereby p root single fiber l _pbottom fiber in the state of the 9th unit cell that fibrous particle is shared be converted to state from " deformation " and " complete ", be i.e. " p ", p root single fiber l _pbottom fiber in unit cell state under 1st～8 fibrous particles be " sky ", so respectively to the height of a unit cell of Z axis negative direction precipitation, as shown in Fig. 4 c;

Due to p root single fiber l _pbottom fiber in the state of unit cell under the 6th fibrous particle be " completing ", so p root single fiber l _pbottom fiber in the 6th fibrous particle can not precipitate downwards, thereby p root single fiber l _pbottom fiber in the 6th unit cell that fibrous particle is shared state from " deformation " be converted to state " complete ", i.e. " p "; Due to p root single fiber l _pbottom fiber in height and the p root single fiber l of the 8th fibrous particle _pbottom fiber in the height difference of the 9th fibrous particle equal F, so p root single fiber l _pbottom fiber in the state of the 8th unit cell that fibrous particle is shared be converted to state from " deformation " and " complete ", be i.e. " p "; P root single fiber l _pbottom fiber in unit cell state under 1st～5 fibrous particles and the 7th fibrous particle be " sky ", so respectively to the height of a unit cell of Z axis negative direction precipitation, as shown in Fig. 4 d;

Due to p root single fiber l _pbottom fiber in the state of unit cell under the 2nd fibrous particle and the 5th fibrous particle be " completing ", so p root single fiber l _pbottom fiber in the 2nd fibrous particle and the 5th fibrous particle can not precipitate downwards, thereby p root single fiber l _pbottom fiber in the state of the 2nd fibrous particle and the 5th fibrous particle unit one belongs to cell be converted to state " End ", i.e. " p " from " deformation "; Due to p root single fiber l _pbottom fiber in height and the p root single fiber l of the 7th fibrous particle _pbottom fiber in the height difference of the 6th fibrous particle equal F, so p root single fiber l _pbottom fiber in the state of the 7th unit cell that fibrous particle is shared be converted to state from " deformation " and " complete ", be i.e. " p "; P root single fiber l _pbottom fiber in unit cell state under the 1st fibrous particle, the 3rd fibrous particle and the 4th fibrous particle be " sky ", so respectively to the height of a unit cell of Z axis negative direction precipitation, as shown in Fig. 4 e;

Due to p root single fiber l _pbottom fiber in the height of the 1st fibrous particle and the height of the 3rd fibrous particle and p root single fiber l _pbottom fiber in the height difference of the 2nd fibrous particle equal F, so p root single fiber l _pbottom fiber in the state of the 1st fibrous particle and the 3rd unit cell that fibrous particle is shared be converted to state from " deformation " and " complete ", be i.e. " p "; Due to p root single fiber l _pbottom fiber in height and the p root single fiber l of the 4th fibrous particle _pbottom fiber in the height difference of the 5th fibrous particle equal F, so p root single fiber l _pbottom fiber in the state of the 4th unit cell that fibrous particle is shared be converted to state from " deformation " and " complete ", i.e. " p ", as shown in Fig. 4 f;

Due to p root single fiber l _pthe state of the shared unit cell of bottom fiber be all " completing ", so p root single fiber l _pthe deformation of bottom fiber complete;

Step 8, the value of p+1 is assigned to p;

Step 9, judge whether p≤f sets up, if set up, perform step 5, otherwise, the generation of digital paper fibrillar meshwork structure completed;

Step 10, end.The generation method of representative digit paper fibre network structure is carried out and is finished.

Concrete, a kind of attribute acquisition methods of digital paper fibrillar meshwork structure is to carry out as follows:

The definition of step 1, association attributes and storage matrix

The unit cell in setting digital paper fibrillar meshwork structure with identical X-axis coordinate and Y-axis coordinate is measuring unit; Using the unit cell with identical X-axis coordinate and Y-axis coordinate as measuring unit, instead of using unit cell as measuring unit, make measured attribute in embodying digital paper fibrillar meshwork structure, reduced the data volume of storage;

Ink touches after paper, under the absorbability effect of paper, is penetrated into paper inside, and in paper inside, a part of ink can, under the capillary force forming between fiber, be diffused into its adjacent region along fiber, and another part ink is absorbed by fiber intersection points.Adjacent area is more with the fiber that former region is connected, and the capillary force forming between fiber is stronger, and it is just faster that ink spreads, and the ink that is diffused into adjacent area is just more; Ink region fiber intersection points number is more, and absorbency is stronger, and the ink of absorption is just more.In the time that the toner particle size in ink is inhomogeneous, the ink particle that is greater than space between fiber will be stopped by fiber and can not spread, thereby form a region that color is deep at ink marks edge;

Therefore the association attributes that defines digital paper fibrillar meshwork structure and ink expression is:

Between point of crossing number G in measuring unit between single fiber and other single fibers, other measuring units that measuring unit is adjacent, there is the number R of same single fiber and the space number S between single fiber and other single fibers in measuring unit;

When paper is subject to hand-written power in the vertical direction, deformation can occur, thereby the thickness of paper reduces;

Therefore defining digital paper fibrillar meshwork structure expresses relevant physical attribute to hand-written power and is:

The thickness U of digital paper fibrillar meshwork structure in measuring unit;

Setting the count out matrix of G of store interleaving is bondedNum[x] [y]; Setting other measuring unit numbers adjacent with measuring unit is w; The matrix of storing same single fiber number R is connectingFiberNum[x] [y] [w], in the present embodiment, w=8;

The matrix of setting number of slots order S is poreNum[x] [y]; The matrix of storage thickness U is thickness[x] [y];

Obtaining of step 2, association attributes

Matrix bondedNum[x] value of arbitrary element is that the sum of the unit cell that is " completing " of the state by comprising in measuring unit obtains divided by M in [y];

Matrix connectingFiberNum[x] w the value of arbitrary group is respectively the number of identical " p " value in w the measuring unit that measuring unit is adjacent in [y] [w];

Matrix poreNum[x] value of arbitrary element is " sky " for the state comprising in measuring unit in [y] unit cell number;

Matrix thickness[x] value of arbitrary element in [y] is the thickness of digital paper fibrillar meshwork structure in measuring unit.

Claims (3)

1. a generation method for digital paper fibrillar meshwork structure, is characterized in that carrying out as follows:

Step 1, set up digital paper network of fibers space;

Taking any point in three dimensions as initial point O, set up rectangular coordinate system in space O-XYZ, taking described initial point O as starting point, extend along the positive dirction of X-axis, Y-axis and Z axis respectively, set up length and be respectively the digital paper network of fibers space of x, y, z; The bottom surface of setting described digital paper network of fibers space is A; The Z axis coordinate figure of described bottom surface A is 0;=

Along the direction parallel with described X-axis, Y-axis and Z axis, even partition is carried out in described digital paper network of fibers space respectively and obtain cellular network, taking minimum unit in described cellular network as a unit cell;

Step 2, definition single fiber and digital paper fibrillar meshwork structure

Suppose to have f root single fiber to be designated as L={l ₁, l ₂..., l _p..., l _f, p ∈ (1, f), l _prepresent p root single fiber; Described single fiber is made up of several fibrous particles, and the fibrous particle number of setting described single fiber is the number of the unit cell that takies in described digital paper network of fibers space of described single fiber; The width of setting described single fiber is a fibrous particle, thickness is M fibrous particle, the single fiber of described M fibrous particle thickness is divided into bottom fiber, mean fiber and top layer fiber, the thickness that defines described bottom fiber and top layer fiber is respectively 1 fibrous particle, and the thickness of described mean fiber is M-2 fibrous particle; The fibrous particle number defining in described low layer fiber and top layer fiber is n, and the particle number of mean fiber is (M-2) × n, and the length that defines described single fiber is n;

Described digital paper fibrillar meshwork structure is be deposited in described digital paper network of fibers space and form along Z axis negative direction by root by f root single fiber L;

The bottom surface that defines described digital paper fibrillar meshwork structure is the bottom surface A in digital paper network of fibers space, and the thickness of described digital paper fibrillar meshwork structure is that f root single fiber is deposited to the height of deposition along Z axis positive dirction behind described digital paper network of fibers space; Described digital paper network of fibers space is cut along Z axis negative direction precipitation by described single fiber, form the tangent plane at single fiber place; The length n that the width of the tangent plane at described single fiber place is described single fiber; The height of the tangent plane at described single fiber place is the height z in described digital paper network of fibers space; The direction of the tangent plane at described single fiber place is that the coordinate figure in described rectangular coordinate system in space O-XYZ obtains by the shared unit cell of the bottom fiber of described single fiber;

Step 3, make p=1;

Step 4, generate position, direction and length at the upper surface in described digital paper network of fibers space and obey the p root single fiber l of stochastic distribution _p;

Step 5, utilize p root single fiber l described in particle shown in formula (1) precipitation rule judgment _pwhether allow to be deposited on the tangent plane at place; If formula (1) is set up, represent to allow precipitation, and perform step 6, otherwise execution step 4 regenerates p root single fiber l _p;

h _p≤α×H _p (1)

In formula (1), h _pfor p root single fiber l in described digital paper network of fibers space _pthe mean value of all single fibers height of deposition in Z-direction on the tangent plane at place; α is constant, α ∈ [0,1]; H _pfor all p-1 root single fibers deposit to the mean value of height of deposition in Z-direction forming in described digital paper network of fibers space;

And have:

$h_p=\frac{1}{n}\×\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{h}_i---\left(2\right)$

In formula (2), h _ifor the height of β point place digital paper fibrillar meshwork structure; Described β point is the described p root single fiber l of composition _pbottom fiber in i the forward projection point that unit cell forms on the A of bottom surface that fibrous particle is shared; 1≤i≤n;

H in formula (1) _pfor:

$H_p=\frac{1}{m}\×\underset{j=1}{\overset{m}{\mathrm{\Σ}}}{H}_j---\left(3\right)$

In formula (3), m is the number of the unit cell of upper surface in described digital paper fibrillar meshwork structure, 1≤j≤m; H _jfor the height of the digital paper fibrillar meshwork structure at j the unit cell position place of upper surface in described digital paper fibrillar meshwork structure;

Step 6, at described p root single fiber l _pin the tangent plane at place, calculate described p root single fiber l _pthe deformation of bottom fiber in Z-direction;

Step 6.1, define described p root single fiber l _pthe state of the each unit cell in the tangent plane at place is " sky ", " deformation " or " completing "; " sky " characterizes with " 0 " value, " deformation " characterizes with " 1 " value, " complete " with " p " value and characterize, described " sky " refers to that unit cell place does not have fibrous particle, described " deformation " refers to that described unit cell place exists the fibrous particle in deformation, and described " completing " refers to that the fibrous particle at described unit cell place has completed deformation;

Step 6.2, make i=1;

Step 6.3, utilize formula (4) to judge that the t moment forms described p root single fiber l _pbottom fiber in i fibrous particle whether allow to occur deformation, if formula (4) is set up, represent to allow deformation, i fibrous particle in described bottom fiber precipitates the height of a unit cell to Z axis negative direction; Otherwise, represent not allow deformation, the unit cell at i fibrous particle place in described bottom fiber keeps the state in t moment;

|Z _i-Z _q|≤F (4)

In formula (4), Z _irepresent in described bottom fiber the height value of i fibrous particle in the Z-direction in described digital paper network of fibers space; Z _qrepresent and described p root single fiber l _pbottom fiber in the height value of adjacent q the fibrous particle of i fibrous particle in the Z-direction in described digital paper network of fibers space; F is described p root single fiber l _pthe largest deformation amount of bottom fiber, its span be [1, M);

Step 6.4, the value of i+1 is assigned to i;

Step 6.5, judge whether i≤n sets up, if set up, perform step 6.3; Otherwise t+1 assignment, to t, and is performed step to 6.2, until described p root single fiber l _pbottom fiber in the state of each fibrous particle for till " completing ", thereby complete the precipitation of described p root single fiber;

Step 7, the value of p+1 is assigned to p;

Step 8, judge whether p≤f sets up, if set up, perform step 4, otherwise, the generation of described digital paper fibrillar meshwork structure completed.

2. an attribute acquisition methods for digital paper fibrillar meshwork structure, is characterized in that carrying out as follows:

The definition of step 1, association attributes and storage matrix

Setting the unit cell in described digital paper fibrillar meshwork structure with identical X-axis coordinate and Y-axis coordinate is measuring unit;

The association attributes that defines described digital paper fibrillar meshwork structure and ink expression is:

Between other measuring units that point of crossing number G in described measuring unit between single fiber and other single fibers, described measuring unit are adjacent, there is the number R of same single fiber and the space number S between single fiber and other single fibers in described measuring unit;

Defining described digital paper fibrillar meshwork structure expresses relevant physical attribute to hand-written power and is:

The thickness U of digital paper fibrillar meshwork structure in described measuring unit;

The matrix of setting the described point of crossing number G of storage is bondedNum[x] [y]; Setting other measuring unit numbers adjacent with described measuring unit is w; The matrix of storing described same single fiber number R is connectingFiberNum[x] [y] [w];

The matrix of setting the described space number S of storage is poreNum[x] [y]; The matrix of storing described thickness U is thickness[x] [y];

Obtaining of step 2, association attributes

Described matrix bondedNum[x] value of arbitrary element is that the sum of the unit cell that is " completing " of the state by comprising in described measuring unit obtains divided by M in [y];

Described matrix connectingFiberNum[x] w the value of arbitrary group is respectively the number of identical " p " value in w the measuring unit that described measuring unit is adjacent in [y] [w];

Described matrix poreNum[x] value of arbitrary element is " sky " for the state comprising in described measuring unit in [y] unit cell number;

Described matrix thickness[x] value of arbitrary element in [y] is the thickness of digital paper fibrillar meshwork structure in described measuring unit.

3. a property store method for digital paper fibrillar meshwork structure, is characterized in that carrying out as follows:

Step 1, the file storage structure that defines the attribute of described digital paper fibrillar meshwork structure based on XML Schema are XSD file; Described XSD file comprises: Property Name, data type and restrictive condition;

Step 2, store that measured digital paper fibrillar meshwork structure and ink are expressed and hand-written power is expressed relevant property value to meeting in the XML file of the defined file storage structure of described XSD file, thereby obtain the XML file that includes correlation attribute value.