CN100595795C - A human model design method based on hybrid interpolation parameterization - Google Patents

Abstract

The invention discloses a hydrid interpolation parameterization-based mannequin design method which mainly uses points on a characteristic layer as control points, and points on an uncharacteristic layer as interpolation points, the scaling factors of the characteristic layer and the uncharacteristic layer are sequentially calculated so as to obtain the height h of the interpolation points in a vertical direction, and the change rate s in a horizontal direction to finally obtain the changed coordinates. In the invention, the mathematic principle is simple and clear and parameters can be easilycontrolled. By adopting hydrid interpolation parameterization design in combination with vertical and horizontal directions, and by using a spline joint principle, a globally parameterized model canmaintain C1 continuity, and has integral resizing and local fine adjusting effects, so that the problem of smoothness after mannequin parameterization can be solved. By directly carrying out parameterization to the characteristic layer, the parameterized mannequin can be directly applicable in virtual garment simulation.

Description

A kind of based on the parameterized manikin method for designing of hybrid interpolation

Technical field

The present invention relates to Computer-aided Geometric Design (CAGD) field, relate in particular to a kind of manikin method for designing.

Background technology

The parametrization design is the problem that computer-aided design (CAD) (CAD) technology proposes in actual applications, and it can make CAD system have interactive mode or automatic mapping function, makes modelling become quite flexible.In the CAD field, the scope of application of parametrization design is quite extensive, and is big to the little design to simple geometric shape of complicated die, all can embody its thought.Utilize the parametrization design means that the model product is designed, can improve design rate, reduce the information storage amount, and can increase substantially the dirigibility and the diversity of modelling.In view of the foregoing, utilize parametrization design manikin to cause the great interest of people.

Up to now, people have carried out many researchs about parametrization design manikin.Batten (Spline) curve, curved surface technology and divided method etc. impel Computer-aided Geometric Design (CAGD) progressively to move to maturity.In the practical application, the batten technology can solve most moulding problem, its more indeterminable problems, and the gap problems of for example non-tensor product form, smooth splicing and surface joining etc. can be solved by divided method.Whether cross the difference of control vertex by distinguishing curve, curved surface, batten and divided method can be divided into two kinds of interpolation type and approach types.The former can directly accurately be measured, and the latter can not.In batten, natural spline, Hermite, Cardinal curve belong to interpolation type, and Bezi é r, B-spline curves, curved surface belong to approach type.In divided method, Loop, Catmull-Clark, Doo-Sabin belong to approach type, and Bufferfly, Kobbelt quadrilateral belong to interpolation type.Above batten and divided method all can be designed to parameterized form.

In parametrization human body surface Study of model, the die parameters design is a basic link wherein.And die parameters method for designing of the prior art is generally the linear scale method of band geometrical constraint.These methods are effective and rapid on mould rule and that can generate with mathematical formulae, but and the smooth problem behind the unresolved model parameterization.And under the apparel industry demand drove, the smooth human body surface model that obtains correspondingly-sized by the input feature vector size had become present urgent problem.

Summary of the invention

The objective of the invention is to overcome the deficiencies in the prior art, provide a kind of based on the parameterized manikin method for designing of hybrid interpolation, make manikin do to keep the C1 continuity after the global parameterized, and make model can do trickle part adjustment, thereby solved the smooth problem behind the model parameterization, and made the manikin after the parametrization can directly apply to the virtual costume simulation.

Purpose of the present invention is achieved by the following technical programs:

Provided by the invention a kind of based on the parameterized manikin method for designing of hybrid interpolation, may further comprise the steps:

(1) characteristic dimension of measurement human body is divided degree of enclosing and length two classes

Degree of enclosing is positioned at horizontal direction, and it is measured by calculating the outer convex closure girth of a certain height level's profile and tries to achieve; Length is positioned at vertical direction, and it is measured by the distance of calculating point-to-point and tries to achieve;

(2) extract the manikin characteristic layer

Characteristic layer is the flat seam that comprises unique point, asks the friendship gained by height of level cross section, unique point place and model;

(3), calculate the zoom factor S of each individual features layer according to the characteristic dimension of human body masterplate itself and the human parameters size of corresponding input;

(4) with the point on the characteristic layer as the reference mark, the point on the non-characteristic layer is as interpolation point, the zoom factor s of the non-characteristic layer of computation model;

(5) according to the zoom factor of non-characteristic layer, calculate the new coordinate figure of interpolation point, thereby realize the design of manikin.

The present invention uses the interpolation type curve in the parametrization design based on feature, mainly be that three-dimensional model is made bulk deformation, is about to the model masterplate and does to be decomposed into vertical direction (vertical corresponding Y-axis) and horizontal direction (horizontal corresponding XOZ plane) behind the regularization trans formation.Consideration is to the influence of whole smooth, and vertical direction is by the linear interpolation function of definition height, and laterally the non-linear interpolation function by definition degree of enclosing realizes model parameterization is designed.

The present invention can take following further measure:

Degree of enclosing comprises neck circumference, chest measurement, under bust girth, waistline, hip circumference in the described step (1); Length comprises height, neck height, breastheight, following breastheight, waist height, stern height, strides height, shoulder breadth, brachium;

The zoom factor of each individual features layer in the described step (3)

D wherein _TemplateBe the size of masterplate own, D _InputHuman parameters size for the correspondence input;

The zoom factor s of non-characteristic layer in the described step (4) shows as the rate of change s of horizontal direction in the horizontal direction, adopts the Cardinal splines to be defined as s=Card (S ₁, S ₂, S ₃, S ₄, p, u, t), wherein u is Cardinal batten parameter (0≤u≤1), t is the tension force factor, S ₁..., S ₄Be four control vertexs of splines, i.e. characteristic layer zoom factor, p is the number percent of interpolation point vertical height and model height;

In conjunction with the height h of vertical direction interpolation point and the rate of change s of horizontal direction, draw the new coordinate figure in variation back, wherein the height h=S (H of vertical direction interpolation point in the described step (5) _High-H _Low)+H _Low, S wherein is the zoom factor of characteristic layer, H _High, H _LowBoundary height for the interpolation zone.

The present invention mainly is the zoom factor by the calculated characteristics layer, calculates the zoom factor of non-characteristic layer again, thereby tries to achieve the height h of vertical direction interpolation point and the rate of change s of horizontal direction, tries to achieve the coordinate after the variation at last.

Human body masterplate of the present invention can adopt the triangular facet and the four limit face mixture models of being derived by POSER6.

The present invention has following beneficial effect: the inventive method mathematical principle is briefly distinct, parameter is easy to control, the employing hybrid interpolation parametrization design in conjunction with vertical direction reaches laterally, utilize batten splicing principle to make model do to keep the C1 continuity after the global parameterized, and possess whole convergent-divergent and local trickle adjustment effect, thereby solved the smooth problem behind the model parameterization.Owing to directly characteristic layer is carried out the parametrization operation, makes that the manikin after the parametrization can directly apply to the virtual costume simulation.

Description of drawings

The present invention is described in further detail below in conjunction with embodiment and accompanying drawing:

Fig. 1 is the workflow block diagram of the embodiment of the invention;

Fig. 2 is the synoptic diagram of the common cubic spline of the embodiment of the invention;

Fig. 3 is the synoptic diagram of embodiment of the invention Cardinal batten and tangent vector;

Fig. 4 is the tension force factor t synoptic diagram of embodiment of the invention Cardinal batten;

Fig. 5 is the manikin synoptic diagram that the embodiment of the invention is generated according to the human parameters size of importing.

Embodiment

Fig. 1～Figure 5 shows that embodiments of the invention.Present embodiment as shown in Figure 1, may further comprise the steps based on the parameterized manikin method for designing of hybrid interpolation:

(1) characteristic dimension of measurement human body is divided degree of enclosing and length two classes

Degree of enclosing is positioned at horizontal direction, comprises neck circumference, chest measurement, under bust girth, waistline, hip circumference, and it is measured by calculating the outer convex closure girth of a certain height level's profile and tries to achieve; Length is positioned at vertical direction, comprises height, neck height, breastheight, following breastheight, waist height, stern height, strides height, shoulder breadth, brachium, and it is measured by calculating the point-to-point distance and tries to achieve;

(2) extract the manikin characteristic layer

Characteristic layer is the flat seam that comprises unique point, asks the friendship gained by height of level cross section, unique point place and model;

(3), calculate the zoom factor of each individual features layer according to the characteristic dimension of human body masterplate itself and the human parameters size of corresponding input

D wherein _TemplateBe the size of masterplate own, D _InputHuman parameters size for the correspondence input;

(4) with the point on the characteristic layer as the reference mark, the point on the non-characteristic layer is as interpolation point, the zoom factor s of the non-characteristic layer of computation model, it shows as the rate of change s of horizontal direction in the horizontal direction

Adopt the Cardinal splines to be defined as s=Card (S ₁, S ₂, S ₃, S ₄, p, u, t), wherein u is Cardinal batten parameter (0≤u≤1), t is a tension force factor (see figure 4), S ₁..., S ₄Be four control vertexs of splines, i.e. characteristic layer zoom factor, p is the number percent of interpolation point vertical height and model height.Two reference mark S in the middle of splines ₂, S ₃Between interpolation point try to achieve with above-mentioned function, for example when s is zoom factor between waist and buttocks, s=Card (S then _Underbreast, S _Waist, S _Hip, S _Crotch, p, u, t); When s is zoom factor between head and neck, then s=Card (1,1, S _Neck, S _Shoulder, p, u, t).

Concrete account form with the Cardinal function of giving a definition.As shown in Figure 2, common cubic spline function is defined as:

P(u)＝au ³+bu ²+cu+d，0≤u≤1 1)

Specify the boundary condition (see figure 3) of Cardinal batten:

P(0)＝P _k

P(1)＝P _k+1

$P^{\′}\left(0\right)=\frac{1}{2}(1-t)(P_{k+1}-P_{k-1})---2)$

$P^{\′}\left(1\right)=\frac{1}{2}(1-t)(P_{k+2}-P_k)$

Then the vector of P (u) and derivative form are:

$P\left(u\right)=\left[\begin{array}{cccc}{u}^3& u^2& u& 1\end{array}\right]\·\left[\begin{array}{c}a\\ b\\ c\\ d\end{array}\right]$ 3)

$P^{\′}\left(u\right)=\left[\begin{array}{cccc}{3u}^3& 2u& 1& 0\end{array}\right]\·\left[\begin{array}{c}a\\ b\\ c\\ d\end{array}\right]$

Order

By 2), 3) formula gets:

$\left[\begin{array}{c}P\left(0\right)\\ P\left(1\right)\\ P^{\′}\left(0\right)\\ P^{\′}\left(1\right)\end{array}\right]=\left[\begin{array}{c}{P}_k\\ P_{k+1}\\ r(P_{k+1}-P_{k-1})\\ r(P_{k+2}-P_k)\end{array}\right]=\left[\begin{array}{cccc}0& 0& 0& 1\\ 1& 1& 1& 1\\ 0& 0& 1& 0\\ 3& 2& 1& 0\end{array}\right]\·\left[\begin{array}{c}a\\ b\\ c\\ d\end{array}\right]$

Try to achieve coefficient

$\left[\begin{array}{c}a\\ b\\ c\\ d\end{array}\right]={\left[\begin{array}{cccc}0& 0& 0& 1\\ 1& 1& 1& 1\\ 0& 0& 1& 0\\ 3& 2& 1& 0\end{array}\right]}^{-1}\·\left[\begin{array}{c}{P}_k\\ P_{k+1}\\ r(P_{k+1}-P_{k-1})\\ r(P_{k+2}-P_k)\end{array}\right]=\left[\begin{array}{cccc}2& -2& 1& 1\\ -3& 3& -2& -1\\ 0& 0& 1& 0\\ 1& 0& 0& 0\end{array}\right]\·\left[\begin{array}{c}{P}_k\\ P_{k+1}\\ r(P_{k+1}-P_{k-1})\\ r(P_{k+2}-P_k)\end{array}\right]$

$=\left[\begin{array}{cccc}-r& 2-r& r-2& r\\ 2r& r-3& 3-2r& -r\\ -r& 0& r& 0\\ 0& 1& 0& 0\end{array}\right]\·\left[\begin{array}{c}{P}_{k-1}\\ P_k\\ P_{k+1}\\ P_{k+2}\end{array}\right]$

Therefore, with the coefficient substitution 3 of trying to achieve) formula, the Cardinal splines can be expressed as following form:

$P\left(u\right)=\left[\begin{array}{cccc}{u}^3& u^2& u& 1\end{array}\right]\·M_c\·\left[\begin{array}{c}{P}_{k-1}\\ P_k\\ P_{k+1}\\ P_{k+2}\end{array}\right]---4)$

M wherein _cBe the Cardinal matrix

$M_c=\left[\begin{array}{cccc}-r& 2-r& r-2& r\\ 2r& r-3& 3-2r& -r\\ -r& 0& r& 0\\ 0& 1& 0& 0\end{array}\right]$

By 4) P (u) that obtains of formula is the rate of change s of non-characteristic layer horizontal direction;

(5) height of vertical direction interpolation point is defined as:

h＝S(H _High-H _Low)+H _Low 5)

Wherein S is the zoom factor of characteristic layer, H _High, H _LowBoundary height for the interpolation zone

Account form 4 in conjunction with the interpolation point of above horizontal direction and vertical direction), 5) the horizontal direction rate of change s that is drawn and the height h of vertical direction interpolation point, according to following coordinate determinant 6) calculate and change the new coordinate figure in back:

$\left[\begin{array}{c}{x}^{\′}\\ y^{\′}\\ z^{\′}\\ 1\end{array}\right]=\left[\begin{array}{cccc}s& 0& 0& 0\\ 0& 0& 0& h\\ 0& 0& s& 0\\ 0& 0& 0& 1\end{array}\right]\·\left[\begin{array}{c}x\\ y\\ z\\ 1\end{array}\right]---6)$

The left side is the new coordinate after the model vertices parametrization, thereby realizes the design of manikin.

Present embodiment adopts the triangular facet and the four limit face mixture models of being derived by POSER6 as the human body masterplate of parametrization design, utilizes Visual C++ and OpenGL developing application to implement.Table 1 is depicted as the human parameters size of corresponding input, and the manikin of making according to the input parameter of table 1 as shown in Figure 5.

The human parameters size of the corresponding input of table 1

The topological structure of the inventive method and model is irrelevant, parameter is easy to control, utilize batten splicing principle to make the model after the parametrization keep the original C1 continuity of batten, and possess whole convergent-divergent and the local effect of adjusting, the manikin after the parametrization can directly apply to the virtual costume simulation.The inventive method also can be applicable to other models beyond the manikin.

Claims (3)

1, a kind of based on the parameterized manikin method for designing of hybrid interpolation, it is characterized in that may further comprise the steps:

(1) characteristic dimension of measurement human body is divided degree of enclosing and length two classes

Degree of enclosing is positioned at horizontal direction, and it is measured by calculating the outer convex closure girth of a certain height level's profile and tries to achieve; Length is positioned at vertical direction, and it is measured by the distance of calculating point-to-point and tries to achieve;

(2) extract the manikin characteristic layer

Characteristic layer is the flat seam that comprises unique point, intersects gained by height of level cross section, unique point place and manikin;

(3), calculate the zoom factor S of each individual features layer according to the characteristic dimension of human body masterplate itself and the human parameters size of corresponding input;

(4) with the point on the characteristic layer as the reference mark, the point on the non-characteristic layer is as interpolation point, calculates the zoom factor s of the non-characteristic layer of manikin;

(5) according to the zoom factor of non-characteristic layer, calculate the new coordinate figure of interpolation point, thereby realize the design of manikin.

2, according to claim 1 based on the parameterized manikin method for designing of hybrid interpolation, it is characterized in that:

Degree of enclosing comprises neck circumference, chest measurement, under bust girth, waistline, hip circumference in the described step (1); Length comprises height, neck height, breastheight, following breastheight, waist height, stern height, strides height, shoulder breadth, brachium;

The zoom factor of each individual features layer in the described step (3)

D wherein _TemplateBehaviour phantom version body size, D _InputHuman parameters size for the correspondence input;

The zoom factor s of non-characteristic layer in the described step (4) shows as the rate of change s of horizontal direction in the horizontal direction, adopts the Cardinal splines to be defined as s=Card (S ₁, S ₂, S ₃, S ₄, p, u, t), wherein u is a Cardinal batten parameter, and its value is 0≤u≤1, and t is the tension force factor, S ₁..., S ₄Be four control vertexs of splines, i.e. characteristic layer zoom factor, p is the number percent of interpolation point vertical height and model height;

In conjunction with the height h of vertical direction interpolation point and the rate of change s of horizontal direction, draw the new coordinate figure in variation back, wherein the height h=S (H of vertical direction interpolation point in the described step (5) _High-H _Low)+H _Low, S wherein is the zoom factor of characteristic layer, H _High, H _LowBoundary height for the interpolation zone.

3, according to claim 1 and 2 based on the parameterized manikin method for designing of hybrid interpolation, it is characterized in that: described human body masterplate adopts the triangular facet and the four limit face mixture models of being derived by POSER6.

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