CN104881894B - The gradual changed method of three-dimensional grid model sequence - Google Patents
The gradual changed method of three-dimensional grid model sequence Download PDFInfo
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Abstract
The invention discloses a kind of gradual changed method of three-dimensional grid model sequence, comprise the following steps：Source grid model sequence and target gridding Model sequence being built respectively, the skeleton driven Cage structures of each grid model being built respectively, the skeleton driven Cage structures include the corresponding skeleton of each grid model, and are attached to the Cage on skeleton；There is section line at the artis of the skeleton；Unification segmentation is carried out respectively according to all skeletons of section line at skeleton joint point, and cross parameter is carried out to each grid model in the grid model sequence of source using segmentation result obtaining corresponding compatibility grid model；Relation and compatible grid model sequence according to source grid model sequence and target gridding Model sequence obtain the grid model sequence of final dynamic fade by the way of interpolation is reconstructed.Gradual changed method of the invention can simultaneously carry out geometry interpolation and motion mixing in different grid model sequences, obtain new gradient mesh Model sequence, have wide range of applications.
Description
Technical field
The present invention relates to computer graphics three-dimensional grid model sequential treatment technique field, and in particular to a kind of three dimensional network
The gradual changed method of lattice model sequence.
Background technology
Grid model sequence (mesh) is a networking lattice model of same object, each grid in grid model sequence
Model possesses different athletic postures, thus grid model sequence includes movable information and geological information.Although grid model sequence
The animation field for being listed in data-driven receives extensive research and applies, but currently without on mixing different grids simultaneously
The geometry of Model sequence and the work of motion (i.e. grid model sequence gradual change) are delivered, simply in the presence of between a small amount of grid model sequence
Other treatment technologies research work.
Kircher et al. (Kircher S, Garland M.Free-form motion processing.ACM
Transactions onGraphics,2008,27(2):12:1–12:13.) the curved surface differential representation proposed based on them, is opened
Powerful motion process instrument is sent out.The instrument provides various treatment technologies between same model different distortion sequence, such as crucial
Frame interpolation, time signal treatment and motion mixing etc..
But the input of the instrument is the different deformation grid model sequence of same model, thus it is not suitable for of the invention
Application background.
Yang et al. (Yang L, Xiao C, Fang J.Multi-scale geometric detail
enhancement for time-varyingsurfaces.Graphical Models,2014,76(5):413-425.) carry
A kind of space-time transition techniques are gone out, the geometric detail of static grid model can gradually be moved to given grid mould by the technology
In type sequence, the enhanced effect of details is played.
Chen and Feng (Xue Chen and JieqingFeng.Adaptive skeleton-driven cages
for mesh sequences.Journal of Visualization and Computer Animation,2014,25
(3):The control structure for 447-455) proposing self adaptation skeleton driven Cage is used for coding grid Model sequence, both there is provided first
The building method of beginning Cage, and it is easy to compatible other animation process technologies there is provided skeleton interface, while the construction side of self adaptation
Formula can provide high-precision reconstruction quality and flexible automatic refinement strategy is easy to further provide for reconstruction accuracy.The work can
Good control structure is provided with for grid model sequence gradual change, but the work is to set up skeleton driven Cage structures, and
It is not directed to grid model sequence gradual change research.
The content of the invention
In view of the shortcomings of the prior art, a kind of gradual changed method of three-dimensional grid model sequence of the invention, the gradual changed method pin
To different grid model sequences (i.e. three-dimensional grid model sequence) while carrying out geometry interpolation and motion mixing so as to obtain completely newly
The grid sequence transition techniques of grid model sequence.
A kind of gradual changed method of three-dimensional grid model sequence, comprises the following steps：
(1) source grid model sequence and target gridding Model sequence are built respectively, and the bone of each grid model is built respectively
Frame drives Cage structures, and the skeleton driven Cage structures include the corresponding skeleton of each grid model, and are attached on skeleton
Cage；There is section line at the artis of the skeleton；
(2) according to the section line at artis, respectively all grid models are carried out with uniformity segmentation, and tie using segmentation
Fruit carries out mixing cross parameter to each grid model in the grid model sequence of source and obtains corresponding compatibility grid model, source net
The corresponding compatible grid model of all grid models is used as corresponding compatible grid model sequence in lattice model sequence；
(3) relation and compatible grid model sequence according to source grid model sequence and target gridding Model sequence are used
The mode of reconstruct-interpolation obtains the grid model sequence of final dynamic fade.
In the step (1) corresponding skeleton driven Cage structures are built for source each grid model of grid model sequence
Comprise the following steps：
(1-1) is any from the source grid model sequence to choose a grid model for grid of reference model, and setting up should
Section line at the skeleton driven Cage structures and artis of grid of reference model；
(1-2) will be referred to for any one grid model in the grid model sequence of source in addition to grid of reference model
Section line at the corresponding skeleton of grid model and artis is moved on the grid model, and with the skeleton of grid of reference model
Drive the Cage in Cage structures as source reference Cage, source reference Cage is moved to source deformation is obtained on the grid model
Cage, so as to the section line at the skeleton driven Cage structures and artis that obtain the grid model.
Because all grid models have phase homeomorphism in a sequence, the section line and skeleton on grid of reference model can
To move to naturally in sequence on other grid models.
All grid models build the skeleton set as source grid model sequence pair for obtaining and answer in the grid model sequence of source
Frame sequence.
In the present invention corresponding skeleton driven Cage structures are built for each grid model in target gridding Model sequence
Method it is identical with source grid model sequence, and the corresponding skeleton of all grid models is target in target gridding Model sequence
The corresponding frame sequence set of grid model sequence.
The step (2) comprises the following steps：
(2-1) carries out uniformity segmentation to all grid models and obtains corresponding respectively according to the section line at artis
Segmentation block；
(2-2) determine that segmentation block that source grid model sequences segmentation obtains and the segmentation of target gridding Model sequence obtain point
The corresponding relation of block is cut, and the type of each segmentation block is determined according to branch's number of segmentation block；
(2-3) is directed to any pair mutual corresponding segmentation block, by block on the basis of the segmentation block for coming from target gridding sequence,
According to segmentation block type using different cross parameter methods (by modification come from source grid model sequence segmentation block it is several
What shape carries out cross parameter)；
(2-4) is directed to each grid model in the grid model sequence of source, after the grid model is carried out into cross parameter
All segmentation merged blocks form corresponding compatibility grid model.
Branch's number in the step (2-2) according to segmentation block determines that each has the type of segmentation block：
If segmentation block branch number is more than 2 or is the corresponding segmentation block of terminal artis, then it is assumed that the segmentation block is the first kind
Segmentation block；
Otherwise it is assumed that the segmentation block is Equations of The Second Kind splits block.
The branch's number for splitting block refers to the number of the segmentation block adjacent with the segmentation block, the corresponding segmentation of terminal artis
Kuai Ji branches number is 1 segmentation block.
Preferably, being handed over using quadrangle base field parametric method first kind segmentation block in the step (2-3)
Fork parametrization, cross parameter is carried out to Equations of The Second Kind segmentation block using template approximating method.
Because the first kind splits block and Equations of The Second Kind segmentation block using different cross parameter methods, in order to ensure boundary
Continuity, the borderline summit of each Equations of The Second Kind segmentation block is for about with the summit of first kind segmentation block boundary adjacent thereto
Beam, the vertex position of first kind segmentation block boundary is determined by local quadrangle base field parametric method.Finally, will solve what is obtained
The internal vertex re-projection of each Equations of The Second Kind segmentation block is on corresponding reference block.
The step (3) comprises the following steps：
(3-1) motion mixing：Determine the grid model of source grid model sequence and the grid mould of target gridding Model sequence
The corresponding relation of type, and skeleton to every a pair mutual corresponding grid models carries out being mixed to get corresponding mixed matrix；
(3-2) Cage recovers：For any pair mutual corresponding grid model, calculate respectively corresponding mixed matrix with
Wherein come from the skeleton of source grid model sequence and wherein come from target gridding Model sequence skeleton between relative variation,
And the Cage of this pair of mutual corresponding grid model is entered into line translation according to corresponding variable quantity respectively obtain corresponding Cage；
(3-3) grid model recovers：For any one mixed matrix, using the mixed matrix and using the mixing bone
Frame carries out the Cage that Cage recovers to obtain, and is built respectively according to corresponding compatible grid model and obtains corresponding grid model；
(3-4) carries out summit linear interpolation and obtains finally to two grid models that the step (3-3) structure is obtained
Grid model, and form the grid model sequence of dynamic fade.
Skeleton corresponding relation is true by the grid model corresponding relation in source grid model sequence and target gridding Model sequence
It is fixed.
For moving mixing each time, what is obtained is a mixed matrix, two Cage and two grid models, the two
Cage and two model distinguishes corresponding source grid model sequence and target gridding Model sequence.In view of the two grid models have
Identical trellis connectivity and similar motion, directly can the final grid of generation using simple efficient summit linear interpolation
Model, substantially increases the efficiency of gradual change.
Preferably, carrying out motion mixing using timewarping curve methods in the step (3-1).
Compared with prior art, beneficial effects of the present invention are as follows：
Give the concept and resolving ideas of grid sequence gradual change such that it is able to enter simultaneously in different grid model sequences
Row geometry interpolation and motion mix, and obtain new gradient mesh Model sequence；
Treatment framework proposed by the present invention is efficient, general, the problem except can solve the problem that grid sequence gradual change, is also fitted
For other animation application scenarios；
Combination base field parametric method proposed by the present invention and the mixing cross parameter method based on template approximating method,
Reliable one-to-one corresponding model vertices can be set up under the premise of finite character point；
In the deformation moving method of skeleton driven Cage proposed by the present invention, skeleton is defeated for motion mixed method is provided
Incoming interface, skeleton driven Cage has been connected motion and geometry, and corresponding interpolation is moved after being reconstructed mixing based on Cage deformations
Geometry, the problem of geological information and movable information is processed so as to solve simultaneously.
Specific embodiment
Below in conjunction with specific embodiment, the present invention will be described in detail.
Grid model in the present embodiment in given source grid sequence, target gridding sequence it is topological inconsistent.
A kind of gradual changed method of three-dimensional grid model sequence, comprises the following steps：
(1) grid sequence pretreatment：
Source grid model sequence and target gridding Model sequence are built respectively, and the skeleton that each grid model is built respectively drives
Dynamic Cage structures, the skeleton driven Cage structures include the corresponding skeleton of each grid model, and are attached on skeleton
Cage；And there is section line at the artis of skeleton.
The skeleton of all grid models is its corresponding frame sequence in the grid model sequence of source.Similarly, target gridding
The skeleton of all grid models is its corresponding frame sequence in Model sequence.Source grid model sequence is built in the present embodiment
The method of frame sequence corresponding with target gridding Model sequence is identical, below building source grid model sequence each grid mould
Type builds corresponding skeleton driven Cage structures and illustrates：
(1-1) is any from the source grid model sequence to choose a grid model for grid of reference model, and setting up should
Section line at the skeleton driven Cage structures and artis of grid of reference model；
(1-2) will be referred to for any one grid model in the grid model sequence of source in addition to grid of reference model
Section line at the corresponding skeleton of grid model and artis is moved on the grid model, and with the skeleton of grid of reference model
Drive the Cage in Cage structures as source reference Cage, source reference Cage is moved to source deformation is obtained on the grid model
Cage, so as to the section line at the skeleton driven Cage structures and artis that obtain the grid model.
The control structure high-level for subsequent treatment is provided by building skeleton driven Cage structures, by source grid sequence and
Target gridding sequential coding is the control structure of skeleton driven Cage.Specific method sees below bibliography：Xue Chen
and Jieqing Feng.Adaptive skeleton-driven cages for mesh sequences.Journal of
Visualization and Computer Animation,2014,25(3):447-455。
(2) according to having all skeletons of section line to carry out unification segmentation respectively at the artis of skeleton, and using segmentation
Result carries out cross parameter to each grid model in the grid model sequence of source and obtains corresponding compatibility grid model.Specifically such as
Under：
(2-1) carries out uniformity segmentation to all grid models and obtains corresponding respectively according to the section line at artis
Segmentation block；
(2-2) determine that segmentation block that source grid model sequences segmentation obtains and the segmentation of target gridding Model sequence obtain point
The corresponding relation of block is cut, and the type of each segmentation block is determined according to branch's number of segmentation block；
The type that branch's number in the present embodiment according to segmentation block determines each and has segmentation block is carried out according to following principle：
If segmentation block branch number is more than 2 or is the corresponding segmentation block of terminal artis, then it is assumed that the segmentation block is the first kind
Segmentation block；
Otherwise it is assumed that the segmentation block is Equations of The Second Kind splits block.
(2-3) is directed to any pair mutual corresponding segmentation block, by block on the basis of the segmentation block for coming from target gridding sequence,
Type according to segmentation block carries out cross parameter carries out cross parameter to the segmentation block for wherein coming from source grid model sequence；
Cross parameter is carried out using quadrangle base field parametric method to first kind segmentation block in the present embodiment, to second
Class segmentation block carries out cross parameter using template approximating method.
The process for carrying out quadrangle base field parametrization for each S1 segmentations block (first kind segmentation block) is as follows：
A () builds local frame on current segmentation block boundary section line, the local frame is by skeleton root artis
Local frame be delivered to herein with the principle that rotation twist is minimized, section line is divided into 4 using the local frame
Broken line simultaneously obtains four cut-points；
B the cut-point on () connection segmentation block adjacent sections line forms quadrangle base field grid；
C the quadrangle base field of () map segments block forms quadrangle burst layout to S1 segmentation blocks surface；
D () is using document Kraevoy V, Sheffer A.Cross-parameterization and compatible
remeshing of 3D models.ACM Transactions on Graphics,2004,23(3):Friendship in 861-869
Smooth between each burst of the model in fork the parametric method model and target gridding sequence set up in the grid sequence of source reflects
Penetrate, so as to the geometry of grid model in the parameter space reconstruct source grid sequence of grid model in the target gridding sequence.
It is to the thought that each S2 segmentation blocks carry out cross parameter in the present embodiment：To the grid mould in the grid sequence of source
Type carries out the deformation based on Cage, and Morph Target is the geometry for currently splitting block is approached corresponding reference block.Template
The specific method of fitting is：
The position constraint of grid interconnected relationship and part summit according to current segmentation block, by an iterative most young waiter in a wineshop or an inn
Multiply the vertex position that grid reconstruction currently splits block.
The solution of least square grid can turn to the solution of following energy function in form：
In formula, L is Laplce (Laplacian) matrix for currently splitting block, and V ' is variable to be solved (for square
Battle array, each of which row represents a three dimensional representation for the coordinate on summit), i.e., the vertex position on all summits of current segmentation block,
Formula Section 2 (i.e. Σk∈K||v′k-vk||2) it is position constraint, herein in the form of soft-constraint, i.e., current segmentation block middle part
The position on point summit is confined to the respective vertices v approached as far as possible in reference blockkPosition, k is vertex index (number),
Wherein K is the index set for constraining summit.The geometric meaning of energy function is, under conditions of constraint is met as far as possible, keeps
Smooth and fairing between all summits of current segmentation block.
Because S1 splits block and S2 segmentations block (Equations of The Second Kind segmentation block) using different cross parameter methods, in order to ensure
The continuity of boundary, the borderline summit of each S2 segmentation blocks is with the summit for belonging to S1 segmentation block boundaries adjacent thereto
Constraint, the vertex position of S1 segmentation block boundaries determines via local quadrangle base field parametric method.Finally, solution is obtained
Each S2 segmentation blocks internal vertex re-projection on corresponding reference block.
(2-4) is directed to each grid model in the grid model sequence of source, after the grid model is carried out into cross parameter
All segmentation merged blocks form corresponding compatibility grid model.
Merge concrete operations in the present embodiment as follows：
Because the borderline summit of Equations of The Second Kind segmentation block is for about with the summit of first kind segmentation block boundary adjacent thereto
Beam, the vertex position of first kind segmentation block boundary is determined by local quadrangle base field parametric method.Finally, will solve what is obtained
The internal vertex re-projection of each Equations of The Second Kind segmentation block is on corresponding reference block.
Model in source grid sequence and target gridding sequence is carried out into uniformity segmentation, each several part difference that segmentation is obtained
Using two kinds of cross parameter methods such as local loop field parameterization and local template fitting, so as to set up the one-to-one corresponding between summit
Relation, then proceeds by merging, and the compatible grid model for obtaining can be understood as and corresponding source grid model (i.e. source grid
Grid model in model) topology is identical and to approach target gridding model (grid model i.e. in target gridding Model sequence) several
The grid model of what shape.
(3) relation and compatible grid model sequence according to source grid model sequence and target gridding Model sequence are used
The mode of reconstruct-interpolation obtains the grid model sequence of final dynamic fade, specific as follows：
(3-1) motion mixing：Determine the grid model of source grid model sequence and the grid mould of target gridding Model sequence
The corresponding relation of type, and to every a pair skeletons of mutual corresponding grid model by the angle of interpolation corresponding joint and bone
Length obtains corresponding mixed matrix；
Mixing is moved in the present embodiment to be carried out using classical timewarping curved line arithmetics, according to the similar of two interframe
Degree to find two kinds of motions between (be originated from source grid sequence and target gridding sequence and two corresponding grid moulds i.e. a pair
The motion that type is represented respectively) best match frame pair, using the Euclidean distance between two skeleton corresponding joint points in the present embodiment
As the module of similarity.Best match frame is obtained to rear, is constructed by the angle and bone length of interpolation corresponding joint
Mixed matrix.
(3-2) Cage recovers：For any pair mutual corresponding grid model, calculate respectively corresponding mixed matrix with
Wherein come from the skeleton of source grid model sequence and wherein come from target gridding Model sequence skeleton between relative variation,
And the Cage of this pair of mutual corresponding grid model is entered into line translation according to corresponding variable quantity respectively obtain corresponding Cage；
Relative variation refers specifically to the amount of relative rotation of the local frame of correspondence skeleton in the present embodiment.
(3-3) grid model recovers：For any one mixed matrix, using the mixed matrix and using the mixing bone
Frame carries out the Cage that Cage recovers to obtain, and is built respectively according to corresponding compatible grid model and obtains corresponding grid model；
Built respectively according to corresponding compatible grid model and obtain corresponding grid model and ensure that the grid mould for obtaining
Type is identical with the topology of corresponding compatible grid model, and then can realize follow-up summit linear interpolation.
(3-4) carries out summit linear interpolation and obtains final dynamic to two grid models that step (3-3) structure is obtained
The grid model sequence of deformation.
For moving mixing each time, what is obtained is a mixed matrix, two Cage and two grid models, the two
Cage and two model distinguishes corresponding source grid model sequence and target gridding Model sequence, in view of the two grid models have
Identical trellis connectivity and similar motion, directly can the final grid of generation using simple efficient summit linear interpolation
Model, the sequence of the grid model composition that these finally give is exactly the grid model sequence of dynamic fade.
Above-described specific embodiment has been described in detail to technical scheme and beneficial effect, Ying Li
Solution is to the foregoing is only presently most preferred embodiment of the invention, is not intended to limit the invention, all in principle model of the invention
Interior done any modification, supplement and equivalent etc. are enclosed, be should be included within the scope of the present invention.
Claims (5)
1. a kind of gradual changed method of three-dimensional grid model sequence, it is characterised in that comprise the following steps：
(1) source grid model sequence and target gridding Model sequence are built respectively；
(2) it is any from the source grid model sequence to choose a grid model for grid of reference model, set up the reference net
Section line at the skeleton driven Cage structures and artis of lattice model；
(3) for any one grid model in the grid model sequence of source in addition to grid of reference model, by grid of reference mould
Section line at the corresponding skeleton of type and artis is moved on the grid model, and with the skeleton driven of grid of reference model
Source reference Cage is moved to and deformation Cage in source is obtained on the grid model by the Cage in Cage structures as source reference Cage,
So as to the section line at the skeleton driven Cage structures and artis that obtain the grid model；
(4) according to the section line at artis, respectively all grid models are carried out with uniformity segmentation and is split block accordingly；
(5) the segmentation block that the segmentation block that source grid model sequences segmentation is obtained is obtained with the segmentation of target gridding Model sequence is determined
Corresponding relation, and the type of each segmentation block is determined according to branch's number of segmentation block；
(6) for any pair mutual corresponding segmentation block, by block on the basis of the segmentation block for coming from target gridding sequence, according to point
The type for cutting block uses different cross parameter methods；
(7) for each grid model in the grid model sequence of source, the grid model is carried out all after cross parameter
Segmentation merged block forms corresponding compatibility grid model；The corresponding compatible grid mould of all grid models in the grid model sequence of source
Type is used as corresponding compatible grid model sequence；
(8) relation and compatible grid model sequence according to source grid model sequence and target gridding Model sequence are using weight
The mode of structure-interpolation obtains the grid model sequence of final dynamic fade.
2. the gradual changed method of three-dimensional grid model sequence as claimed in claim 1, it is characterised in that root in the step (5)
Determine that each has the type of segmentation block according to branch's number of segmentation block：
If segmentation block branch number is more than 2 or is the corresponding segmentation block of terminal artis, then it is assumed that the segmentation block is that the first kind is split
Block；
Otherwise it is assumed that the segmentation block is Equations of The Second Kind splits block.
3. the gradual changed method of three-dimensional grid model sequence as claimed in claim 2, it is characterised in that right in the step (6)
First kind segmentation block carries out cross parameter using quadrangle base field parametric method, and Equations of The Second Kind segmentation block is fitted using template
Method carries out cross parameter.
4. the gradual changed method of the three-dimensional grid model sequence as described in any one claim in claims 1 to 3, its feature
It is that the step (8) comprises the following steps：
(8-1) motion mixing：Determine the grid model of source grid model sequence and the grid model of target gridding Model sequence
Corresponding relation, and skeleton to every a pair mutual corresponding grid models carries out being mixed to get corresponding mixed matrix；
(8-2) Cage recovers：For any pair mutual corresponding grid model, calculate respectively corresponding mixed matrix with wherein
Come from the skeleton of source grid model sequence and wherein come from target gridding Model sequence skeleton between relative variation, and will
The Cage of this pair of mutual corresponding grid model enters line translation and obtains corresponding Cage according to corresponding variable quantity respectively；
(8-3) grid model recovers：For any one mixed matrix, enter using the mixed matrix and using the mixed matrix
Row Cage recovers the Cage for obtaining, and is built respectively according to corresponding compatible grid model and obtains corresponding grid model；
(8-4) carries out summit linear interpolation and obtains final net to two grid models that the step (8-3) structure is obtained
Lattice model, and form the grid model sequence of dynamic fade.
5. the gradual changed method of three-dimensional grid model sequence as claimed in claim 4, it is characterised in that in the step (8-1)
Motion mixing is carried out using timewarping curve methods.
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