CN106097415A - A kind of 2.5 dimension rope distortion animation producing methods - Google Patents

Abstract

The open a kind of 2.5 dimension rope distortion animation producing methods of the present invention, its step is as follows: (1) sets up plane right-angle coordinate, and the vaulted curve of delimiting period change is upper end contour line in a coordinate system；Symmetrical upset upper end contour line is the most mobile to determine lower end contour line, and upper end contour line and the route of movement thereof after wherein lower end contour line is overturn by symmetry are constituted；(2) built closed area by outer contour, divide the area into some subregions, and subregion is marked；Determined the scope of subregion by the boundary line of subregion, and in subregion, build quadrilateral mesh；(3) input the filling texture of rope, and determine the filling texture of subregion according to labelling；It is then determined that the mapping relations of quadrilateral mesh summit and texture coordinate in subregion；(4) outer contour of consecutive variations rope, picture frame during output rope distortion, generate the animation of rope distortion.This method principle is simple, it is easy to accomplish, and animation producing is effective.

Description

A kind of 2.5 dimension rope distortion animation producing methods

Technical field

The present invention relates to a kind of generation method of 2.5 dimension animations, belong to Computer Animated Graph field, particularly relate to one 2.5 dimension rope distortion animation producing methods.

Background technology

In computer animation field, according to cartoon making skill and present the difference of effect and animation can be divided into following Three kinds: plane animation, three-dimensional animation and 2.5 dimension animations.

Chinese patent CN103065348A, title " a kind of 2 D animation automatic generation method based on skeleton maneuver library ", The skeleton of establishment and skeleton action are first saved in skeleton cartoon storehouse by such technology；Then according to the appearance requirement of moulding, paint Manufacture type figure；Secondly from skeleton maneuver library, call skeleton action, and skeleton action is bound with moulding figure；Finally Require interpolation skeleton action action frame according to animation, obtain animation sequence.Although the method can generate complexity 2 D animation, but Need during realization to constantly update skeleton action data, and renewal speed is slower.Additionally, the image quality obtained also needs to be carried Rise.

" a kind of 2.5 dimension cartoons generated based on line transect change " (Rivers etc., 2.5D Cartoon Models, Transactions on Graphics, 2010,29 (4): 19-66), the method SPL represents that the three of cartoon object regards Diagram data, and set up in three-view diagram the corresponding relation between every curve.Then by visual angle change, cartoon character is produced Arbitrarily view, thus the 3D effect realizing cartoon character rotates.But specific drawing program is had in drawing process by the method More dependence, and the quality of medial view has to be hoisted.

Chinese patent CN101958007A, title " a kind of three-dimensional animation posture modeling method using grass to paint ", this technology First resolve the modularization human body contour outline sketch of user's input, extract human skeleton structure, skeleton pose and skeleton profile etc. Parameter, and generate 3 D human body attitude mode；Secondly, 3 D human body attitude mode assembly is projected to two dimensional surface, by two Dimension grass is painted alternately, edits skeleton locus, backbone length and the skeleton profile of 3 D human body attitude mode；Finally, Sport interpolation method interpolation attitude key frame based on core stipulations is used to generate 3 D human body animation.This technology and conventional three-dimensional people Body posture modeling method is compared, and can effectively support that the method that animation teacher paints with two dimension grass carries out attitude design and volume to animation Volume, but relate to substantial amounts of data when three-dimensional animation renders and calculate, and the longest.

Summary of the invention

For defect present in above prior art, the present invention provides a kind of 2.5 dimension ropes based on two-sided figure to turn round Bent animation producing method, the method can simulate the three-dimensional animation effect of object in the plane.In the present invention, user only needs Inputting filling texture and control parameter, system just can automatically generate the rope under different twisting magnitude, and this technology generates Animation there is good three-dimensional stereo effect.

The technical solution used in the present invention is as follows:

A kind of generation method of 2.5 dimension rope distortion animations, comprises the steps:

A. drawing outer contour: set up plane right-angle coordinate, the vaulted curve of delimiting period change is in a coordinate system Upper end contour line；Symmetrical upset upper end contour line is the most mobile to determine lower end contour line, and wherein lower end contour line is overturn by symmetry After upper end contour line and movement route constitute；

B. build quadrilateral mesh: built closed area by outer contour, divide the area into some subregions, and antithetical phrase Region is marked；Determined the scope of subregion by the boundary line of subregion, and in the range of subregion, build quadrilateral mesh；

C. the mapping relations on quadrilateral mesh summit and texture coordinate are determined: input the filling texture of rope；By subregion Labelling determine the filling texture of subregion；It is then determined that quadrilateral mesh summit is closed with the mapping of texture coordinate in subregion System；

D. generation 2.5 dimension ropes distortion animations: the outer contour of consecutive variations rope, image during output rope distortion Frame, generates the animation of rope distortion.

The present invention, relative to prior art, has the advantage that

(1), during the present invention 2.5 ties up the generation of rope distortion animation, user only needs input fill texture and control ginseng Number, system will automatically generate 2.5 dimension rope distortion animations.Compared with two dimension, three-dimensional animation, the amount of calculation that this method relates to Little, disposable, renewal speed is fast.

(2) present invention utilizes the outer contour that two groups of mathematical functions change during determining rope distortion, by controlling number Parameter in mathematic(al) function can realize colourful rope torsional deformation effect.

(3) by building rectangular mesh summit in drawing area, and the mapping pass of grid vertex and texture coordinate is set up System, distortion phenomenon when can efficiently reduce rope distortion, promote the three dimensions third dimension of distortion rope.

(4) the inventive method principle is simple, it is easy to accomplish, and animation producing effect is preferable.

Accompanying drawing explanation

Fig. 1 is a kind of 2.5 dimension rope distortion animation producing flow charts of the present invention；

Fig. 2 is rope profile schematic diagram in embodiment；

Fig. 3 is subregion schematic diagram；

Fig. 4 is y=sin (x) function schematic diagram；

Fig. 5 is quadrilateral mesh structural representation.

Detailed description of the invention

In order to more clearly illustrate technical scheme, below in conjunction with the accompanying drawings and example, to correlation step of the present invention Elaborate.

As shown in Figure 1, a kind of 2.5 dimension rope distortion animation producing methods of the present embodiment, it is as follows that it is embodied as step:

1. drawing outer contour: outer contour is made up of upper and lower end contour line, sees shown in accompanying drawing 2, wherein x represents horizontal Axle, y represents the longitudinal axis, f_kRepresent vaulted curve, s_kExpression branch, wherein k=0,1,2 ..., control parameter alpha, β are respectively the cycle With phase place, it is used for determining vaulted curve f_kShape；Symmetrical upset upper end contour line is the most mobile to determine lower end contour line, wherein Lower end contour line overturn by symmetry after upper end contour line and the route of movement constitute.Fig. 2 middle conductor a represents the road of movement Line, vaulted curve g_kBy vaulted curve f_kDetermine, branch e_kBy branch s_kDetermine, line segment a and vaulted curve g_kCombination determines lower end Contour line.

(1) definition upper end contour line: without loss of generality, the vaulted curve f in the contour line of definition upper end_k:

f_k=cos (α x-k β)

Defining the intersection point between vaulted curve is branch s_k, branch s_kAbscissa be:

$s_k^x=(k+1/2)\mathrm{\β}/\mathrm{\α}$

In this example, the initial value of α, β is respectively 0.1 π, 0.5 π, k=0,1,2....

(2) definition lower end contour line: lower end contour line is by line segment a and vaulted curve g_kComposition.The coordinate of definition line segment a For:

Y=-1, x ∈ [0, (π-β)/α]

Define vaulted curve g_kFor:

g_k=-cos (α (x-(π-β)/α)-k β)

Branch e_kAbscissa be:

$e_k^x=\mathrm{\π}/\mathrm{\α}+(k-1/2)\mathrm{\β}/\mathrm{\α}$

Wherein, α, β, k and f_kIn coefficient corresponding and keep consistent.

2. structure quadrilateral mesh:

See Fig. 2, upper and lower end contour line and straight line x=p, x=0 and form closed area, by branch e_kWith branch s_kRight And should connect, closed area is divided into some subregions；The scope of subregion, and really stator region is determined by the boundary line of subregion Network of quadrilaterals lattice structure in territory.See Fig. 3, the boundary line of subregion determine between subregion forward projection region on transverse axis, and Sampled equidistant is carried out to determine one group of point in this interval；Cross this group point and do the vertical line of transverse axis, definition vertical line and subregion limit The intersection point in boundary line is boundary point, such as accompanying drawing 3 midpointShown in；Carry out equidistant again in the vertical line section determined by boundary point From sampling, obtain another group sampled point；Set up the corresponding relation of adjacent vertical line section up-sampling point；By the incidence relation of sampled point even Connect the employing point on adjacent vertical line, determine network of quadrilaterals lattice structure in subregion.

(1) molecular regime is drawn: the closing finite region that definition is surrounded by upper and lower end contour line and straight line x=p, x=0 is Drawing area, p=1 in this example；By branch s_k、e_kConnect with solid line, drawing area is divided into some subregion E_v(v=0, 1,2...)。

(2) build quadrilateral mesh: without loss of generality, as a example by the subregion shown in accompanying drawing 3, in subregion, build four limits Shape grid process is as follows:

A. determine between subregion forward projection region on transverse axis: determine that subregion is on transverse axis by the boundary line of subregion Forward projection region between.See accompanying drawing 3, be [x between upper end contour line forward projection region on transverse axis₀,x₁], lower end contour line is at horizontal stroke It is [x between the forward projection region on axle₂,x₃], line segmentIt is [x between the forward projection region on transverse axis₀,x₂], line segmentAt horizontal stroke It is [x between the forward projection region on axle₁,x₃], combine interval obtains [x between subregion forward projection region on transverse axis₀,x₃]。

B. the initial position on quadrilateral mesh summit is determined: by interval [x₀,x₃] it is divided into M equal portions, in this exampleAnd obtain each branch (sampled point) coordinate (h on this line segment_t, 0) (t=0 ..., M) andFor not Less than the smallest positive integral of q, h_t+1>h_t；Cross point (h_t, 0) and it is perpendicular to the vertical line of transverse axis, the boundary line phase of every vertical line and subregion Meet at2 points, respective coordinates is respectivelyWhereinSee accompanying drawing 3；By line segment It is divided into N part, obtains line segmentCoordinate (the h of upper each point_t,k_r) (r=0 ..., N), N=20 in this example, wherein k_rMeter Calculation formula is:

$k_r=(y_1^t-y_0^t)/N*r+y_0^t$

C. determine grid vertex final position: see shown in accompanying drawing 4, interval [-pi/2, pi/2] is divided into N part, and obtains One group of point；Done the vertical line of transverse axis by this group point, the curve that y=sin (x) function determines retrieves one group of intersection point, and By in this group intersection point transverse projection to the longitudinal axis, its projection coordinate is (0, l_r), wherein l_r+1>l_r；Determine point (h_t,k_r) after skew Coordinate position (h_t,w_r), wherein w_rComputing formula be:

$w_r=(l_r+1)/2*(y_1^t-y_0^t)+y_0^t$

By the point (h in adjacent vertical line section in subregion_t,w_r) corresponding by subscript r and connect, set up in subregion Network of quadrilaterals lattice structure.According to the method described above at the built-in vertical network of quadrilaterals lattice structure of every sub regions, see shown in accompanying drawing 5.

3. determine the mapping relations on quadrilateral mesh summit and texture coordinate: input picture I₀、I₁As rope contour area Filling texture, wherein subregion E_vWhen subscript v is even number, determine image I₀Fill texture for it, otherwise determine image I₁For its Fill texture；It is then determined that quadrilateral mesh summit and texture coordinate map relation in subregion, concrete mapping relations are as follows:

(1) subregion E is determined₀Interior quadrilateral mesh summit and the mapping relations of texture coordinate: calculate grid vertex (h_t, w_r) texture coordinate (q_t,z_r) it is:

$\left\{\begin{array}{c}{q}_t=h_t/p\\ Z_r=(k_r+1)/(k_N+1)\end{array}\right.$

(2) subregion E is determined_v(v=1,2,3...) interior quadrilateral mesh summit and texture coordinate map relation: do not lose As property, as a example by the subregion shown in accompanying drawing 3.In fig. 3, subregion E_vIt is [x between the forward projection region of transverse axis₀,x₃], line SectionMidpoint projection coordinate on transverse axis be (d_s, 0), line segmentMidpoint projection coordinate's point on transverse axis be (d_e,0)；If h_t∈[x₀,d_s], then grid vertex (h_t,w_r) texture coordinate (q_t,z_r) it is:

$\left\{\begin{array}{c}{q}_t=h_t/p\\ Z_r=(k_r-k_0)/(1-k_0)\end{array}\right.$

If h_t∈[d_s,d_e], then grid vertex (h_t,w_r) texture coordinate (q_t,z_r) it is:

$\left\{\begin{array}{c}{q}_t=h_t/p\\ Z_r=(k_r-k_0)/(k_N-k_0)\end{array}\right.$

If h_t∈[d_e,x₃], then grid vertex (h_t,w_r) texture coordinate (q_t,z_r) it is:

$\left\{\begin{array}{c}{q}_t=h_t/p\\ Z_r=(k_r+1)/(k_N+1)\end{array}\right.$

According to above-mentioned (1) or (2) method, determine grid vertex and the mapping relations of texture coordinate in all subregions.Right In the subregion of a part of upper and lower end contour line of disappearance, such as subregion E in accompanying drawing 2₄.Its texture coordinate asks the method to be: first determine Complete upper and lower end contour line, sees vaulted curve f in accompanying drawing 2₄、g₄, then according to subregion E_vSubscript v selects above-mentioned (1) Or (2) method, determine grid vertex and the mapping relations of texture coordinate in drawing area.

4. draw animation: adjust and control parameter alpha, the value of β, the outer contour of change rope, figure during output rope distortion As frame, generate rope distortion animation.In this example, β value is constant, and between adjacent animation frame, α value increases with step delta, wherein Δ=0.1 π。

Claims (3)

1. the generation method of a dimension rope distortion animation, it is characterised in that comprise the steps:

A. drawing outer contour: set up plane right-angle coordinate, the vaulted curve of delimiting period change is upper end in a coordinate system Contour line；Symmetrical upset upper end contour line is the most mobile to determine lower end contour line, after wherein lower end contour line is overturn by symmetry The route of upper end contour line and movement thereof is constituted；

B. build quadrilateral mesh: built closed area by outer contour, divide the area into some subregions, and to subregion It is marked；Determined the scope of subregion by the boundary line of subregion, and in the range of subregion, build quadrilateral mesh；

C. the mapping relations on quadrilateral mesh summit and texture coordinate are determined: input the filling texture of rope；By the mark of subregion Note determines the filling texture of subregion；It is then determined that the mapping relations of quadrilateral mesh summit and texture coordinate in subregion；

D. generation 2.5 dimension ropes distortion animations: the outer contour of consecutive variations rope, picture frame during output rope distortion, life Become the animation of rope distortion.

The generation method of a kind of 2.5 dimension rope distortion animations the most according to claim 1, it is characterised in that described step a In, the vaulted curve f in the contour line of upper end_kFor: f_k=cos (α x-k β), wherein k=0,1,2..., α, β are respectively used for controlling Curve f_kCycle and phase place；Lower end contour line is by line segment a and vaulted curve g_kComposition, the abscissa of described line segment a is: x ∈ [0, (π-β)/α], its vertical coordinate is: y=-1；Described vaulted curve g_kFor: g_k=-cos (α (x-(π-β)/α)-k β).

The generation method of a kind of 2.5 dimension rope distortion animations the most according to claim 1 and 2, it is characterised in that described step In rapid b, closed area is made up of upper end contour line, lower end contour line and straight line x=p, x=0, by by the contour line of upper end Branch s_kBranch e corresponding with on the contour line of lower end_kIt is connected, closed area is divided into some subregions.