CN104777700A - Multi-projector optimized deployment method realizing high-immersion projection - Google Patents

Abstract

The invention provides a multi-projector optimized deployment method realizing high-immersion projection. The method comprises specific steps as follows: step one, an initial pose of each projector is set, and a screen projection area is designated for each projector; step two, corresponding influence factors of each projector are calculated and comprise the projection resolution, the resolution difference and the projection distance difference; step three, a projection evaluation function is calculated according to the influence factors solved in the step two; step four, the pose of each projector is updated, the step two and the step three are repeated, the corresponding projection evaluation function of each pose is calculated, and the pose corresponding to the minimum projection evaluation function is determined as the pose of the projector. According to the method, the factors such as the projector resolution, the resolution difference rate, the projection distance difference and the like influencing the actual projection effect are taken as evaluation standards to build the evaluation function, the projector pose corresponding to the minimum evaluation function is selected as the optimized pose, the optimized deployment of the projectors is realized, and the optimal projection effect is achieved.

Description

Height immerses projection multi-projector Optimization deployment method

Technical field

The present invention relates to and a kind of highly immerse projection multi-projector Optimization deployment method, be applicable to height and immerse the technical fields such as display, digital to analog simulation, virtual reality.

Background technology

Due to the optical imaging apparatus that projector is not desirable, its actual drop shadow effect is subject to the impact of self performance and deployed position.Current projection correction's software mostly can only carry out splicing and merge under the condition of known projection machine riding position, and best projection machine riding position can only lean on the experience of operator to determine substantially, this is high to the requirement of operator, can not ensure can obtain optimal deployment scheme at every turn.

The relation of the resolution of document " Fast high-resolution appearance editing using superimposed projections. " ACM Transactions on Graphics (TOG) 31.2 (2012): 13. pairs of projectors, light efficiency itself and putting position is inquired into, but projector has been treated as perfect optics device by it, thus do not consider defocus blur that actual projector exists, Pixel Dimensions increase with distance and the factors such as increase to the infringement of projection quality.

Summary of the invention

In view of this, the object of the invention is optimum position in order to obtain multi-projector and towards, to obtain optimal display result, propose a kind ofly highly to immerse projection multi-projector Optimization deployment method.

Realize technical scheme of the present invention as follows:

One is high immerses projector's Optimization deployment method, and detailed process is:

Step one, set initial pose for Mei Tai projector, and be that it specifies screen prjection region;

Step 2, for each projector, calculate the influence factor of its correspondence, it is poor that described influence factor comprises projected resolution, differences in resolution and projector distance;

Step 3, the influence factor solved according to step 2, calculate projection evaluation function;

The pose of step 4, renewal Mei Tai projector, repeats step 2 and three, calculates the projection evaluation function corresponding to each pose, the pose of the minimum correspondence of projection evaluation function is defined as the pose of projector.

Projected resolution of the present invention watches point resolution by the best and absolute resolution forms;

Best viewing point resolution: selected best viewing point, if the volume coordinate of i-th projector's jth sampled point in territory, screen footprint is X _ij, X _ijcorresponding point in projector are x _ij, x _ijthere are four neighborhood point x _ij1=x _ij+ [-1 ,-1] ^t, x _ij2=x _ij+ [1 ,-1] ^t, x _ij3=x _ij+ [1,1] ^t, x _ij4=x _ij+ [-1,1] ^t, four field points correspond to four points on screen and are respectively X _a, X _b, X _c, X _d, in best viewing location place video camera photographs to X _a, X _b, X _c, X _dimage coordinate be x _a, x _b, x _c, x _d, will by x _a, x _b, x _c, x _d4 quadrilateral surface product representations surrounded are S _abcd, the resolution A (x of best viewing point is calculated according to formula (3) _i, X _i);

$A(x_i,X_i)=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}A(x_i,X_{\mathrm{ij}})---\left(2\right)$

$A(x_i,X_{\mathrm{ij}})=\frac{1}{2}\sqrt{S_{\mathrm{abcd}}}$

Wherein, N _irepresent i-th total number of sample points be projected in territory, screen footprint;

Described absolute resolution: calculate absolute resolution B (x according to formula (5) _i, X _i);

$B(x_i,X_i)=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}B(x_i,X_{\mathrm{ij}})---\left(5\right)$

$B(x_i,X_{\mathrm{ij}})=\frac{1}{2}\sqrt{S_{\mathrm{ABCD}}}$

Wherein, S _aBCD=S _aBC+ S _aCD, S _aBCrepresent by X _a, X _b, X _cthe triangle area of 3 compositions, S _aCDrepresent by X _a, X _c, X _dthe triangle area of 3 compositions.

The present invention is according to formula (6) calculating resolution difference C (x _i, X _i),

$C(x_i,X_i)=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}C(x_i,X_{\mathrm{ij}})=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}\frac{\max \left(B(x_i,X_{\mathrm{ij}})\right)}{\min \left(B(x_i,X_{\mathrm{ij}})\right)}---\left(\text{6}\right)$

The present invention calculates projector distance difference D (x according to formula (7) _i, X _i),

D(x _i,X _i)＝max(dist(x _i,X _i))-min(dist(x _i,X _i)) (7)

Wherein, dist (x _i, X _i) represent all sampled point X _ito the distance of i-th projector's photocentre, $X_i=[X_{i1},X_{i2},...X_{{\mathrm{iN}}_i}].$

Projection evaluation function of the present invention is:

f(x,X)＝a ₁A(x,X)+a ₂B(x,X)+a ₃C(x,X)+a ₄D(x,X) (8)

Wherein, a=[a ₁, a ₂, a ₃, a ₄] be weight coefficient.

Beneficial effect

The present invention utilizes the factor such as projector's resolution, differences in resolution rate, projector distance difference affecting actual drop shadow effect to build evaluation function as evaluation criterion, choose evaluation function minimum time corresponding projector's pose be optimum pose, realize the Optimization deployment of projector, to obtain best projection effect.

Accompanying drawing explanation

Fig. 1 is the high process flow diagram immersing projector's Optimization deployment method of the present invention.

Tu2Shi projector pose initialization schematic diagram.

Fig. 3 is the calculating schematic diagram of projected resolution.

Fig. 4 is the schematic diagram of differences in resolution.

Fig. 5 is the schematic diagram of projector distance difference.

Fig. 6 is the projector's position view before 3 projectors optimize and after optimizing.

Embodiment

Below in conjunction with accompanying drawing and instantiation, the present invention is described in detail.

The present invention to project demand according to reality, propose the evaluation index judging drop shadow effect, under known projection machine quantity and projection screen face type condition, according to the Mei Tai projector overlay area of user's setting, utilize projector's resolution of the actual drop shadow effect of impact, differences in resolution rate, the factors such as projector distance difference are as evaluation criterion, under the condition of specifying view field of each projector, calculate the pose (position and towards) obtaining and make each projector that overall projected resolution is the highest and screen, to obtain optimal display result, also for the on-the-spot actual placement projector of user provides useful reference.

The present invention is high immerses projector's Optimization deployment method, and detailed process is:

As shown in Figure 1, (one), projector's pose initialization, for Mei Tai projector sets initial pose, and arrange the screen prjection region (namely no matter how projector moves, and it must cover the screen area of specifying) of specifying for it.As shown in Figure 2, for lenticular screen, when distributing appointment view field for Mei Tai projector, only several points of uniform sampling (figure hollow core circle) in appointment screen area, using this sampled point as the representative of screen area, in follow-up optimization, meet projector cover all sampled points.

(2), contemplated by the invention and utilize projected resolution, differences in resolution rate, projector distance to differ from three kinds because usually building drop shadow effect's evaluation function, therefore need in this step for each projector, calculate the projected resolution of its correspondence, differences in resolution and projector distance poor.

(1) projected resolution

Resolution has two kinds of definition modes, a kind of definition is best viewing point resolution, it is equivalent to place a measurement video camera in best viewing location, and the projector pixel number size arrived using this cameras view is as the resolution of optical projection system, and it is seen point location with the best and chooses difference and change; Another kind of definition is absolute resolution, and it carrys out descriptive system resolution with the projector pixel number comprised in projection screen unit area, and after projection screen and projector's deployment are determined, this resolution is also determined thereupon.

Best viewing point resolution: as shown in Figure 3, X _ijrepresent the volume coordinate of i-th projector jth sampled point in territory, screen footprint, X _ijat the Pixel Dimensions A (x of best viewing location _i, X _i) according to following formulae discovery, wherein x _i=[r _xi, r _yi, r _zi, t _xi, t _yi, t _zi] ^t, represent the rotation [r of i-th projector _xi, r _yi, r _zi] parameter and translation [t _xi, t _yi, t _zi] parameter.

$A(x_i,X_{\mathrm{ij}})=\frac{1}{2}\sqrt{S_{\mathrm{abcd}}}---\left(1\right)$

$A(x_i,X_i)=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}A(x_i,X_{\mathrm{ij}})---\left(2\right)$

Wherein, X _ijcorresponding point in projector are x _ij, x _ijthere are four neighborhood point x _ij1=x _ij+ [-1 ,-1] ^t, x _ij2=x _ij+ [1 ,-1] ^t, x _ij3=x _ij+ [1,1] ^t, x _ij4=x _ij+ [-1,1] ^t, four field points correspond to four points on screen and are respectively X _a, X _b, X _c, X _d, in best viewing location place video camera photographs to X _a, X _b, X _c, X _dimage coordinate be x _a, x _b, x _c, x _d, the quadrilateral area S that they surround _abcdrepresent, then i-th projector corresponds to X _ijthe best viewing location sampled point Pixel Dimensions at some place can represent with formula (3).

$A(x_i,X_i)=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}A(x_i,X_{\mathrm{ij}})---\left(3\right)$

Wherein, N _irepresent i-th projector's sampled point number in territory, screen footprint.

Absolute resolution: the present invention uses absolute pixel size to describe absolute resolution, as shown in Figure 2, uses X _a, X _b, X _c, X _d4 calculate x _ijthe absolute pixel chi at place.Because screen profile is on-plane surface, therefore X _a, X _b, X _c, X _d4 can not ensure coplanar, but because their are apart from very near, therefore can use S _aBCD=S _aBC+ S _aCDcarry out 4, this space of approximate treatment quadrilateral space area surrounded.Now, the average absolute resolution B (x of i-th projector _i, X _i) available following formula description.

$B(x_i,X_{\mathrm{ij}})=\frac{1}{2}\sqrt{S_{\mathrm{ABCD}}}---\left(4\right)$

$B(x_i,X_i)=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}B(x_i,X_{\mathrm{ij}})---\left(5\right)$

(2) differences in resolution

As shown in Figure 4, in deployment on the left of it, the difference of same projector pixel size is large, and the deployment difference on right side is little, difference between this same projector interior pixels is called differences in resolution, the differences in resolution of i-th projector can use formula (6) to define, and its Zhi Yue little Ze drop shadow effect is better.

$C(x_i,X_i)=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}C(x_i,X_{\mathrm{ij}})=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}\frac{\max \left(B(x_i,X_{\mathrm{ij}})\right)}{\min \left(B(x_i,X_{\mathrm{ij}})\right)}---\left(\text{6}\right)$

(3) projector distance is poor

In actual use, there is a blur-free imaging plane in projector, far away apart from this plane, projected image will be fuzzyyer, therefore projector's deployment scheme should consider the impact of this factor on drop shadow effect, make projector overlay area as far as possible consistent to the distance of projector's photocentre, as shown in Figure 5, wherein the projector distance difference on right side is less than left side.The projector distance available formula of difference (7) definition of i-th projector, its value less then projected image sharpness is higher.Dist (x in formula _i, X _i) represent all sampled point X _ito the distance of i-th projector's photocentre.

D(x _i,X _i)＝max(dist(x _i,X _i))-min(dist(x _i,X _i)) (7)

(3) project evaluation function

Comprehensive above three kinds of influence factors, weighted sum thus new drop shadow effect evaluation function f (x, X) of structure one, as shown in formula (8).Wherein a=[a ₁, a ₂, a ₃, a ₄] be weight coefficient.X=[x ₁; x ₂; x _m], represent the location parameter of all M projector.X=[X ₁; X ₂; X _m], represent the sample point coordinate that each projector is corresponding.

f(x,X)＝a ₁A(x,X)+a ₂B(x,X)+a ₃C(x,X)+a ₄D(x,X) (8)

(4), projector's pose optimization

Build optimization problem

min f(x,X)

It is separated x and is required optimum projector pose.

Namely upgrade the pose of Mei Tai projector, repeat step 2 and three, calculate the projection evaluation function corresponding to each pose, minimum for projection evaluation function corresponding pose is defined as the pose of projector.

Fig. 6 illustrates the projector position after optimizing front and optimization for 3 projectors, with the value optimizing the optimization object function that rear formula (8) represents before table 1 illustrates and optimizes.

Table 1 different initial value projector disposition optimization result

In sum, these are only preferred embodiment of the present invention, be not intended to limit protection scope of the present invention.Within the spirit and principles in the present invention all, any amendment done, equivalent replacement, improvement etc., all should be included within protection scope of the present invention.

Claims (5)

1. highly immerse projector's Optimization deployment method, it is characterized in that, detailed process is:

Step one, set initial pose for Mei Tai projector, and be that it specifies screen prjection region;

Step 2, for each projector, calculate the influence factor of its correspondence, it is poor that described influence factor comprises projected resolution, differences in resolution and projector distance;

Step 3, the influence factor solved according to step 2, calculate projection evaluation function;

The pose of step 4, renewal Mei Tai projector, repeats step 2 and three, calculates the projection evaluation function corresponding to each pose, the pose of the minimum correspondence of projection evaluation function is defined as the pose of projector.

2. highly according to claim 1 immerse projector's Optimization deployment method, it is characterized in that, described projected resolution watches point resolution by the best and absolute resolution forms;

Best viewing point resolution: selected best viewing point, if the volume coordinate of i-th projector's jth sampled point in territory, screen footprint is X _ij, X _ijcorresponding point in projector are x _ij, x _ijthere are four neighborhood point x _ij1=x _ij+ [-1 ,-1] ^t, x _ij2=x _ij+ [1 ,-1] ^t, x _ij3=x _ij+ [1,1] ^t, x _ij4=x _ij+ [-1,1] ^t, four field points correspond to four points on screen and are respectively X _a, X _b, X _c, X _d, in best viewing location place video camera photographs to X _a, X _b, X _c, X _dimage coordinate be x _a, x _b, x _c, x _d, will by x _a, x _b, x _c, x _d4 quadrilateral surface product representations surrounded are S _abcd, the resolution A x of best viewing point is calculated according to formula (3) _i, X _i;

$A(x_i,X_i)=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}A(x_i,X_{\mathrm{ij}})---\left(2\right)$

$A(x_i,X_{\mathrm{ij}})=\frac{1}{2}\sqrt{S_{\mathrm{abcd}}}$

Wherein, N _irepresent i-th total number of sample points be projected in territory, screen footprint;

Described absolute resolution: calculate absolute resolution Bx according to formula (5) _i, X _i;

$B(x_i,X_i)=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}B(x_i,X_{\mathrm{ij}})---\left(5\right)$

$B(x_i,X_{\mathrm{ij}})=\frac{1}{2}\sqrt{S_{\mathrm{ABCD}}}$

Wherein, S _aBCD=S _aBC+ S _aCD, S _aBCrepresent by X _a, X _b, X _cthe triangle area of 3 compositions, S _aCDrepresent by X _a, X _c, X _dthe triangle area of 3 compositions.

3. highly according to claim 2 immerse projector's Optimization deployment method, it is characterized in that, according to formula (6) calculating resolution difference Cx _i, X _i,

$C(x_i,X_i)=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}C(x_i,X_{\mathrm{ij}})=\frac{1}{N_i}{\mathrm{\Σ}}_{j=1}^{N_i}\frac{\max \left(B(x_i,X_{\mathrm{ij}})\right)}{\min \left(B(x_i,X_{\mathrm{ij}})\right)}---\left(6\right)$

4. according to Claims 2 or 3, height immerses projector's Optimization deployment method, it is characterized in that, calculates projector distance difference D (x according to formula (7) _i, X _i),

D(x _i,X _i)＝max(dist(x _i,X _i))-min(dist(x _i,X _i)) (7)

Wherein, dist (x _i, X _i) represent all sampled point X _ito the distance of i-th projector's photocentre, X _i=[X _i1, X _i2... X _iNi].

5. highly according to claim 4 immerse projector's Optimization deployment method, it is characterized in that, described projection evaluation function is:

f(x,X)＝a ₁A(x,X)+a ₂B(x,X)+a ₃C(x,X)+a ₄D(x,X) (8)

Wherein, a=[a ₁, a ₂, a ₃, a ₄] be weight coefficient.