CN109615433B - User satisfaction modeling and display space adjusting method fusing fairness, experience feeling and price - Google Patents

User satisfaction modeling and display space adjusting method fusing fairness, experience feeling and price Download PDF

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CN109615433B
CN109615433B CN201811538692.XA CN201811538692A CN109615433B CN 109615433 B CN109615433 B CN 109615433B CN 201811538692 A CN201811538692 A CN 201811538692A CN 109615433 B CN109615433 B CN 109615433B
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段玉聪
湛楼高
宋正阳
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Hainan University
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Abstract

本申请涉及一种融合公平度、体验感和价格的用户满意度建模与展示空间调整方法，属于服务计算和软件工程的交叉领域。其特征在于，本发明使用公平度、体验感和价格来度量用户满意度，通过调整展示空间的空间位置、角度、形状和用户需支付的价格，来达到所有用户的最大满意程度。

Figure 201811538692

The present application relates to a user satisfaction modeling and display space adjustment method integrating fairness, experience and price, and belongs to the cross field of service computing and software engineering. It is characterized in that the present invention uses fairness, experience and price to measure user satisfaction, and achieves the maximum satisfaction of all users by adjusting the spatial position, angle, shape of the display space and the price the user needs to pay.

Figure 201811538692

Description

融合公平度、体验感和价格的用户满意度建模与展示空间调 整方法User satisfaction modeling and display space adjustment integrating fairness, experience and price whole method

技术领域technical field

本发明是一种融合公平度、体验感和价格的用户满意度建模与展示空间调整方法，属于服务计算和软件工程的交叉领域。The invention is a user satisfaction modeling and display space adjustment method integrating fairness, experience and price, and belongs to the cross field of service computing and software engineering.

技术背景technical background

在日常生活中，人们常常通过观影来放松自己，然而，由于时间等各方面的原因，观影效果较好的位置常常被购买，而用户只能在支付相同的价格的情况下坐在观影效果相对不佳的位置进行观影，用户体验感相对较差。现阶段，大量观影屏幕均是固定的，不可改变形状的，而且大多数电影等投影内容往往都有加长的时长，用户长时间不改变姿势进行观影，往往会造成脖子僵硬等健康问题，同样会降低用户的体验感。因此怎样设计一种算法使得展示空间如观影屏幕等通过改变空间位置、角度、形状以及用户支付金额来使用户感受到相对公平和满意是有必要的。In daily life, people often relax themselves by watching movies. However, due to various reasons such as time, places with better movie viewing effects are often purchased, and users can only sit and watch at the same price. Watching a movie in a location where the movie effect is relatively poor, the user experience is relatively poor. At this stage, a large number of movie viewing screens are fixed and cannot be changed in shape, and most movies and other projection content often have an extended duration. Users watch movies without changing their posture for a long time, which often causes health problems such as neck stiffness. It will also reduce the user experience. Therefore, it is necessary to design an algorithm to make the display space, such as the viewing screen, change the spatial position, angle, shape and the amount paid by the user to make the user feel relatively fair and satisfied.

发明内容SUMMARY OF THE INVENTION

技术问题：本发明是一种融合公平度、体验感和价格的用户满意度建模与展示空间调整方法，在用户满意度建模中用户支付金额怎样变化以及展示空间怎样调整位置、角度和形状是困难的，再者，两者怎样协调改变而不引起冲突也是需要解决的问题。Technical problem: The present invention is a user satisfaction modeling and display space adjustment method that integrates fairness, experience and price. In the user satisfaction modeling, how does the user pay amount change and how to adjust the position, angle and shape of the display space It is difficult. Moreover, how to coordinate the changes between the two without causing conflicts is also a problem that needs to be solved.

技术方案：本发明是一种融合公平度、体验感和价格的用户满意度建模与展示空间调整方法，本发明通过融合公平度、体验感和价格对用户满意度进行建模，通过调整用户支付金额以及展示空间的位置和形状来使整体用户的满意度达到最高。Technical solution: The present invention is a user satisfaction modeling and display space adjustment method integrating fairness, experience and price. The present invention models user satisfaction by integrating fairness, experience and price, and adjusts user satisfaction by The amount paid and the location and shape of the display space to maximize overall user satisfaction.

体系结构：本发明是一种融合公平度、体验感和价格的用户满意度建模与展示空间调整方法，本发明使用公平度、体验感和价格来度量用户满意度，通过调整展示空间的空间位置、形状和用户需支付的价格，来达到所有用户的最大满意程度。本发明定义公平性为公正，不偏不倚。将用户体验感的定义采用人体系统交互的人体工程学的国际标准，将用户体验定义为“一个人对产品，系统或服务的使用或预期使用产生的感知和反应”。根据它的定义，用户体验包括在使用之前，期间和之后发生的所有用户的情绪，信念，偏好，感知，身体和心理反应，行为和成就，属于纯主观因素。将用户满意度的定义为用户期望值与用户体验的匹配程度。Architecture: The present invention is a user satisfaction modeling and display space adjustment method that integrates fairness, experience and price. The present invention uses fairness, experience and price to measure user satisfaction, and adjusts the display space by adjusting the space of the display space. Location, shape and price users pay to achieve maximum satisfaction for all users. The present invention defines fairness as impartiality and impartiality. The definition of user experience adopts the international standard of ergonomics of human system interaction, and user experience is defined as "a person's perception and response to the use or expected use of a product, system or service". By its definition, user experience includes all the user's emotions, beliefs, preferences, perceptions, physical and psychological reactions, behaviors, and achievements that occur before, during, and after use, and are purely subjective factors. User satisfaction is defined as the degree to which user expectations match the user experience.

有益效果：Beneficial effects:

本发明提出一种融合公平度、体验感和价格的用户满意度建模和展示空间调整方法，该方法具有如下优点：The present invention proposes a user satisfaction modeling and display space adjustment method integrating fairness, experience and price, and the method has the following advantages:

1) 本发明通过对公平度、体验感和价格进行用户满意度建模，能使群体用户的综合满意程度达到最大；1) The present invention can maximize the comprehensive satisfaction of group users by modeling user satisfaction with fairness, experience and price;

2) 本发明的价格随着时间以及用户体验感进行波动调整，符合用户内心期待；2) The price of the present invention fluctuates and adjusts with time and user experience, which is in line with the user's inner expectation;

3) 本发明通过时间周期调整展示空间的空间位置、角度以及形状，能有效缓解用户因长时间观影所带来的脖子僵硬、眼睛疲劳等情况。3) The present invention adjusts the spatial position, angle and shape of the display space through a time period, which can effectively relieve the user's neck stiffness and eye fatigue caused by watching movies for a long time.

附图说明Description of drawings

图1是融合公平度、体验感和价格的用户满意度建模和展示空间调整方法的具体流程图。Figure 1 is a specific flow chart of the user satisfaction modeling and display space adjustment method integrating fairness, experience and price.

具体实施方式Detailed ways

本发明是一种融合公平度、体验感和价格的用户满意度建模与展示空间调整方法，具体实施步骤如下：The present invention is a user satisfaction modeling and display space adjustment method integrating fairness, experience and price, and the specific implementation steps are as follows:

步骤一），如图1中001所示，通过展示系统带有的拍照功能或可识别用户相对位置的功能识别各个用户的相对位置，并做标记；Step 1), as shown in 001 in Figure 1, identify the relative position of each user by displaying the camera function or the function that can identify the relative position of the user, and mark it;

步骤二），如图1中002所示，根据用户公平度设置用户支付价格的变化函数，计算公式如下：Step 2), as shown in 002 in Figure 1, set the change function of the price paid by the user according to the user's fairness. The calculation formula is as follows:

Cost_Fai=f1(γ.Fai)，其中f1()为与Fai有关的常值函数；假设影响用户体验的物理因素包括用户眼睛离展示空间的最短距离和用户观影时用户视线与展示空间的平面夹角，对用户公平度进行建模，建模如下：Cost_Fai=f 1 (γ.Fai), where f 1 () is a constant value function related to Fai; it is assumed that the physical factors that affect the user experience include the shortest distance between the user's eyes and the display space, and the user's sight and display space when watching a movie. The plane angle of , and the user fairness is modeled as follows:

通过展示系统的拍照或其他可识别图像的功能识别用户的脸部平面，在此假设各个用户的脸的抽象面积相差不多，即假设面积基本相等，通过拍照等功能识别的脸部面积和原始面积相比得到脸部倾斜角α的余弦值，再根据α的值确定用户脸部平面，然后取垂直于此平面且经过该平面中心位置的线作为用户观察展示系统的视线，计算用户的视线到展示空间的平面夹角θ，根据识别到的用户脸部的较短的边计算用户距离展示空间的长度s，将其作为用户眼睛到展示空间的距离；因此用户公平度函数的计算公式如下：Identify the user's face plane through the display system's photographing or other functions that can recognize images. It is assumed that the abstract areas of each user's face are similar, that is, assuming that the areas are basically equal. Compared with the cosine value of the face tilt angle α, the user's face plane is determined according to the value of α, and then the line perpendicular to this plane and passing through the center of the plane is taken as the user's line of sight to observe the display system, and the user's line of sight is calculated. The plane included angle θ of the display space, the length s of the user from the display space is calculated according to the shorter side of the recognized user's face, and it is taken as the distance from the user's eyes to the display space; therefore, the calculation formula of the user's fairness function is as follows:

Fai=α1g1(θ)+β1h1(s)，其中α1和β1为用户视线与展示空间的角度和用户眼睛距离展示空间长度对用户体验感的影响参数，由数据训练得到；g1(θ)和h1(s)分别为角度函数和距离函数，计算公式如下：Fai=α 1 g 1 (θ)+β 1 h 1 (s), where α 1 and β 1 are the influence parameters of the angle between the user's sight line and the display space and the distance between the user's eyes and the display space length on the user's sense of experience, which are trained by data Obtained; g 1 (θ) and h 1 (s) are the angle function and the distance function respectively, and the calculation formula is as follows:

g1(θ)=1/n(θ1+θ2+...+θn)，h1(s)=1/n(s1+s2+...+sn)；g 1 (θ)=1/n(θ 1 +θ 2 +...+θ n ), h 1 (s)=1/n(s 1 +s 2 +...+s n );

步骤三）如图1中003所示，根据用户公平度调整展示空间的空间位置、角度和形状；Step 3) As shown in 003 in Figure 1, adjust the spatial position, angle and shape of the display space according to the user's fairness;

调整展示空间的位置：X=(x1+x2+...+xn)/n+hx，Y=(y1+y2+...+yn)/n+hy，Z=hz，其中hx,hy,hz为由机器学习等方法得到的用户应该离展示屏幕应有的合适距离，xi为展示空间在三维空间中第i个点的X方向上的值，yi为展示空间在三维空间中第i个点的Y方向上的值，为便于理解，展示空间在三维平面上由n个离散的点代替，每一个离散的点都有一个X方向上的值，一个Y方向上的值和一个Z方向上的值，也可理解成三维空间中的各个点的坐标值；X,Y,Z为展示空间的位置；Adjust the position of the display space: X=(x 1 +x 2 +...+x n )/n+h x , Y=(y 1 +y 2 +...+y n )/n+h y , Z=h z , where h x , h y , h z are the appropriate distance that the user should be away from the display screen obtained by methods such as machine learning, and x i is the display space in the X direction of the i-th point in the three-dimensional space The value of y i is the value of the display space in the Y direction of the ith point in the three-dimensional space. For ease of understanding, the display space is replaced by n discrete points on the three-dimensional plane, and each discrete point has an X The value in the direction, a value in the Y direction and a value in the Z direction, can also be understood as the coordinate value of each point in the three-dimensional space; X, Y, Z are the position of the display space;

调整展示空间的角度和形状：通过调整展示空间的倾斜角度和形状改变用户视线与展示空间的平面夹角，展示空间以某一条轴线旋转角度的计算公式如下：Adjusting the angle and shape of the display space: By adjusting the inclination angle and shape of the display space, the angle between the user's line of sight and the plane of the display space is changed. The formula for calculating the rotation angle of the display space along a certain axis is as follows:

θFai=900-1/n(θ1+θ2+...+θn)，其中θi为各个用户的视线与展示空间的平面夹角，θ Fai =90 0 -1/n(θ 1 +θ 2 +...+θ n ), where θ i is the angle between the line of sight of each user and the plane of the display space,

当θ>0时，逆时针旋转；当θ<0时，顺时针旋转；When θ>0, rotate counterclockwise; when θ<0, rotate clockwise;

步骤四），如图1中004所示，根据用户体验感设置用户支付价格的变化函数，计算公式如下：Step 4), as shown in 004 in Figure 1, set the change function of the price paid by the user according to the user experience. The calculation formula is as follows:

Cost_Exp=f2(Exp)，其中f2()为满足非线性的、单调递增的类型函数（如倒数函数），Cost_Exp为价格变量，Exp为用户体验感变量；假设影响用户体验的物理因素包括用户眼睛离展示空间的最短距离和用户观影时用户视线与展示空间的平面夹角，对用户体验感进行建模，建模如下：Cost_Exp=f 2 (Exp), where f 2 () is a nonlinear, monotonically increasing type function (such as a reciprocal function), Cost_Exp is a price variable, and Exp is a user experience variable; it is assumed that the physical factors affecting user experience include The shortest distance between the user's eyes and the display space and the plane angle between the user's line of sight and the display space when the user is watching a movie is used to model the user experience. The modeling is as follows:

通过展示系统的拍照或其他可识别图像的功能识别用户的脸部平面，在此假设各个用户的脸的抽象面积相差不多，即假设面积基本相等，通过拍照等功能识别的脸部面积和原始面积相比得到脸部倾斜角α的余弦值，再根据α的值确定用户脸部平面，然后取垂直于此平面且经过该平面中心位置的线作为用户观察展示系统的视线，计算用户的视线到展示空间的平面夹角θ，根据识别到的用户脸部的较短的边计算用户距离展示空间的长度，将其作为用户眼睛到展示空间的距离；因此用户体验感函数的计算公式如下：Identify the user's face plane through the display system's photographing or other functions that can recognize images. It is assumed that the abstract areas of each user's face are similar, that is, assuming that the areas are basically equal. Compared with the cosine value of the face tilt angle α, the user's face plane is determined according to the value of α, and then the line perpendicular to this plane and passing through the center of the plane is taken as the user's line of sight to observe the display system, and the user's line of sight is calculated. The plane included angle θ of the display space is calculated according to the short side of the user's face identified, and the length of the user's distance from the display space is calculated as the distance from the user's eyes to the display space; therefore, the calculation formula of the user experience function is as follows:

Exp=α2g2(θ)+β2h2(s)，其中α2和β2为用户视线与展示空间的角度和用户眼睛距离展示空间长度对用户体验感的影响参数，由数据训练得到；g2(θ)和h2(s)分别为角度函数和距离函数，两者都是满足如下条件的类型函数（如满足正态分布的函数）：Exp=α 2 g 2 (θ)+β 2 h 2 (s), where α 2 and β 2 are the influence parameters of the angle between the user's sight and the display space and the distance between the user's eyes and the display space length on the user's sense of experience, which are trained by data Obtained; g 2 (θ) and h 2 (s) are the angle function and the distance function, respectively, both of which are type functions that satisfy the following conditions (such as functions that satisfy normal distribution):

1. g2(θ)，h2(s)>0；1. g 2 (θ), h 2 (s)>0;

2. g2(θ)，h2(s)非线性；2. g 2 (θ), h 2 (s) nonlinear;

3. g2(θ)，h2(s)具有唯一极大值；3. g 2 (θ), h 2 (s) have a unique maximum value;

步骤五）如图1中005所示，根据用户体验感调整展示空间的空间位置、角度和形状；Step 5) As shown in 005 in Figure 1, adjust the spatial position, angle and shape of the display space according to the user experience;

调整展示空间的位置：假设用户预期达到的体验感为最大，计算展示空间需移动的距离和方向，计算公式如下：Adjust the position of the display space: Assuming that the user expects to achieve the greatest sense of experience, calculate the distance and direction that the display space needs to move. The calculation formula is as follows:

Figure DEST_PATH_IMAGE001
，其中hx,hy,hz为机器学习 等方法得到的用户在三维空间中三个方向应该离展示屏幕应有的合适距离（为方便计算， 此处假设为空间直角坐标系x,y,z为三个坐标轴），si为每个用户实际距离展示空间的距 离，
Figure DEST_PATH_IMAGE002
为用户观影时的视线方向的反方向；
Figure DEST_PATH_IMAGE001
, where h x , h y , h z are the appropriate distances that the user should have from the display screen in the three directions in the three-dimensional space obtained by machine learning and other methods (for the convenience of calculation, it is assumed here that the space rectangular coordinate system x, y , z is the three coordinate axes), s i is the actual distance of each user from the display space,
Figure DEST_PATH_IMAGE002
It is the opposite direction of the user's line of sight when watching a movie;

调整展示空间的角度和形状：通过调整展示空间的倾斜角度和形状改变用户视线与展示空间的平面夹角，展示空间以某一轴线旋转的角度的计算公式如下：Adjust the angle and shape of the display space: By adjusting the inclination angle and shape of the display space, the angle between the user's line of sight and the plane of the display space is changed.

Figure DEST_PATH_IMAGE003
，其中θi为各个用户的视线与展示空间的平面夹角；
Figure DEST_PATH_IMAGE003
, where θ i is the angle between the line of sight of each user and the plane of the display space;

当θExp>0时，逆时针旋转；当θExp<0时，顺时针旋转；When θ Exp >0, rotate counterclockwise; when θ Exp <0, rotate clockwise;

展示空间在可变时间范围内周期性地改变位置和角度，以达到舒缓用户可能长时间观影所导致的脖子僵硬、眼睛疲劳等；改变的大小由经机器学习等方法得到健康模型得出；The display space periodically changes its position and angle within a variable time range to relieve the user's neck stiffness and eye fatigue caused by long-term viewing of the movie; the size of the change is derived from the health model obtained by machine learning and other methods;

步骤六），如图1中006所示，基于公平度和体验感对用户满意度建模；Step 6), as shown in 006 in Figure 1, model user satisfaction based on fairness and experience;

对于价格而言：Cost_Sat=a×Cost_Fai+b×Cost_Exp，其中a,b为用户公平度和体验感的影响参数，由数据训练得到；For price: Cost_Sat=a×Cost_Fai+b×Cost_Exp, where a and b are the influencing parameters of user fairness and experience, obtained from data training;

对于空间位置而言：

Figure DEST_PATH_IMAGE004
，其中为展示空间由原始位 置移动到(X,Y,Z)位置的向量； For spatial location:
Figure DEST_PATH_IMAGE004
, which is the vector of the display space moving from the original position to the (X, Y, Z) position;

对于角度和形状而言：θSat=a×θFai + b×θExp 。For angle and shape: θ Sat = a×θ Fai + b×θ Exp .

Claims (1)

1.一种融合公平度、体验感和价格的用户满意度建模与展示空间调整方法，属于服务计算和软件工程的交叉领域；其特征在于，使用公平度、体验感和价格来度量用户满意度，通过调整展示空间的空间位置、形状和用户需支付的价格，来达到所有用户的最大满意程度；其具体步骤如下：1. A user satisfaction modeling and display space adjustment method integrating fairness, experience and price, which belongs to the intersection of service computing and software engineering; it is characterized in that user satisfaction is measured by using fairness, experience and price By adjusting the spatial position, shape and price of the display space, the maximum satisfaction of all users can be achieved; the specific steps are as follows: 步骤一）通过展示系统带有的可识别用户相对位置的功能，包括拍照功能，识别各个用户的相对位置，并做标记；Step 1) By displaying the functions of the system that can identify the relative position of users, including the function of taking pictures, identify the relative positions of each user and mark them; 步骤二）根据用户公平度设置用户支付价格的变化函数，计算公式如下：Step 2) Set the change function of the price paid by the user according to the user's fairness. The calculation formula is as follows: Cost_Fai=f1(γ.Fai)，其中f1()为与Fai有关的常值函数；假设影响用户体验的物理因素包括用户眼睛离展示空间的最短距离和用户观影时用户视线与展示空间的平面夹角，对用户公平度进行建模，建模如下：Cost_Fai=f 1 (γ.Fai), where f 1 () is a constant value function related to Fai; it is assumed that the physical factors that affect the user experience include the shortest distance between the user's eyes and the display space, and the user's sight and display space when watching a movie. The plane angle of , and the user fairness is modeled as follows: 通过展示系统的可识别图像的功能，包括拍照功能，识别用户的脸部平面，在此假设各个用户的脸的抽象面积相差不多，即假设面积基本相等，通过识别脸部面积并将其和原始面积相比得到脸部倾斜角α的余弦值，再根据α的值确定用户脸部平面，然后取垂直于此平面且经过该平面中心位置的线作为用户观察展示系统的视线，计算用户的视线到展示空间的平面夹角θ，根据识别到的用户脸部的较短的边计算用户距离展示空间的长度s，将其作为用户眼睛到展示空间的距离；因此用户公平度函数的计算公式如下：By displaying the system's recognizable image functions, including the photographing function, the user's face plane is recognized. Here, it is assumed that the abstract areas of each user's face are similar, that is, the areas are basically equal. By recognizing the face area and comparing it with the original The cosine value of the face inclination angle α is obtained by comparing the area, and then the user's face plane is determined according to the value of α, and then the line perpendicular to this plane and passing through the center of the plane is taken as the user's line of sight to observe the display system, and the user's line of sight is calculated. The plane included angle θ to the display space, calculate the length s of the user’s distance from the display space according to the shorter side of the recognized user’s face, and use it as the distance from the user’s eyes to the display space; therefore, the calculation formula of the user’s fairness function is as follows : Fai=α1g1(θ)+β1h1(s)，其中α1和β1为用户视线与展示空间的角度和用户眼睛距离展示空间长度对用户体验感的影响参数，由数据训练得到；g1(θ)和h1(s)分别为角度函数和距离函数，计算公式如下：Fai=α 1 g 1 (θ)+β 1 h 1 (s), where α 1 and β 1 are the influence parameters of the angle between the user's sight line and the display space and the distance between the user's eyes and the display space length on the user's sense of experience, which are trained by data Obtained; g 1 (θ) and h 1 (s) are the angle function and the distance function respectively, and the calculation formula is as follows: g1(θ)=1/n(θ1+θ2+...+θn)，h1(s)=1/n(s1+s2+...+sn)；g 1 (θ)=1/n(θ 1 +θ 2 +...+θ n ), h 1 (s)=1/n(s 1 +s 2 +...+s n ); 步骤三）根据用户公平度调整展示空间的空间位置、角度和形状；Step 3) Adjust the spatial position, angle and shape of the display space according to the user's fairness; 调整展示空间的位置：X=(x1+x2+...+xn)/n+hx，Y=(y1+y2+...+yn)/n+hy，Z=hz，其中hx,hy,hz为由机器学习方法得到的用户应该离展示屏幕应有的合适距离，xi为展示空间在三维空间中第i个点的X方向上的值，yi为展示空间在三维空间中第i个点的Y方向上的值；X,Y,Z为展示空间的位置；Adjust the position of the display space: X=(x 1 +x 2 +...+x n )/n+h x , Y=(y 1 +y 2 +...+y n )/n+h y , Z=h z , where h x , hy , h z are the appropriate distance that the user should have from the display screen obtained by the machine learning method, and x i is the display space in the ith point in the three-dimensional space in the X direction. value, y i is the value of the display space in the Y direction of the ith point in the three-dimensional space; X, Y, Z are the position of the display space; 调整展示空间的角度和形状：通过调整展示空间的倾斜角度和形状改变用户视线与展示空间的平面夹角，展示空间以某一条轴线旋转角度的计算公式如下：Adjusting the angle and shape of the display space: By adjusting the inclination angle and shape of the display space, the angle between the user's line of sight and the plane of the display space is changed. The formula for calculating the rotation angle of the display space along a certain axis is as follows: θFai=900-1/n(θ1+θ2+...+θn)，其中θi为各个用户的视线与展示空间的平面夹角，θ Fai =90 0 -1/n(θ 1 +θ 2 +...+θ n ), where θ i is the angle between the line of sight of each user and the plane of the display space, 当θ>0时，逆时针旋转；当θ<0时，顺时针旋转；When θ>0, rotate counterclockwise; when θ<0, rotate clockwise; 步骤四）根据用户体验感设置用户支付价格的变化函数，计算公式如下：Step 4) Set the change function of the price paid by the user according to the user experience. The calculation formula is as follows: Cost_Exp=f2(Exp)，其中f2()为满足非线性的、单调递增的类型函数，Cost_Exp为价格变量，Exp为用户体验感变量；假设影响用户体验的物理因素包括用户眼睛离展示空间的最短距离和用户观影时用户视线与展示空间的平面夹角，对用户体验感进行建模，建模如下：Cost_Exp=f 2 (Exp), where f 2 () is a type function that satisfies nonlinear and monotonically increasing, Cost_Exp is a price variable, and Exp is a user experience variable; it is assumed that the physical factors affecting user experience include the distance between the user's eyes and the display space The shortest distance and the angle between the user's line of sight and the display space when the user is watching the movie, to model the user experience, the modeling is as follows: 通过展示系统的可识别图像的功能，包括拍照功能，识别用户的脸部平面，在此假设各个用户的脸的抽象面积相差不多，即假设面积基本相等，通过识别脸部面积并将其和原始面积相比得到脸部倾斜角α的余弦值，再根据α的值确定用户脸部平面，然后取垂直于此平面且经过该平面中心位置的线作为用户观察展示系统的视线，计算用户的视线到展示空间的平面夹角θ，根据识别到的用户脸部的较短的边计算用户距离展示空间的长度，将其作为用户眼睛到展示空间的距离；因此用户体验感函数的计算公式如下：By displaying the system's recognizable image functions, including the photographing function, the user's face plane is recognized. Here, it is assumed that the abstract areas of each user's face are similar, that is, the areas are basically equal. By recognizing the face area and comparing it with the original The cosine value of the face inclination angle α is obtained by comparing the area, and then the user's face plane is determined according to the value of α, and then the line perpendicular to this plane and passing through the center of the plane is taken as the user's line of sight to observe the display system, and the user's line of sight is calculated. The plane included angle θ to the display space, calculate the length of the user from the display space according to the short side of the recognized user's face, and use it as the distance from the user's eyes to the display space; therefore, the calculation formula of the user experience function is as follows: Exp=α2g2(θ)+β2h2(s)，其中α2和β2为用户视线与展示空间的角度和用户眼睛距离展示空间长度对用户体验感的影响参数，由数据训练得到；g2(θ)和h2(s)分别为角度函数和距离函数，两者都是满足如下条件的类型函数：Exp=α 2 g 2 (θ)+β 2 h 2 (s), where α 2 and β 2 are the influence parameters of the angle between the user's sight and the display space and the distance between the user's eyes and the display space length on the user's sense of experience, which are trained by data Obtained; g 2 (θ) and h 2 (s) are the angle function and the distance function, respectively, both of which are type functions that satisfy the following conditions: g2(θ)，h2(s)>0；g 2 (θ), h 2 (s)>0; g2(θ)，h2(s)非线性；g 2 (θ), h 2 (s) nonlinear; g2(θ)，h2(s)具有唯一极大值；g 2 (θ), h 2 (s) have a unique maximum value; 步骤五）根据用户体验感调整展示空间的空间位置、角度和形状；Step 5) Adjust the spatial position, angle and shape of the display space according to the user experience; 调整展示空间的位置：假设用户预期达到的体验感为最大，计算展示空间需移动的距离和方向，计算公式如下：Adjust the position of the display space: Assuming that the user expects to achieve the greatest sense of experience, calculate the distance and direction that the display space needs to move. The calculation formula is as follows:
Figure 451106DEST_PATH_IMAGE001
，其中hx,hy,hz为机器学习得到的 用户在三维空间中三个方向应该离展示屏幕应有的合适距离，si为每个用户实际距离展示 空间的距离，
Figure 384427DEST_PATH_IMAGE002
为用户观影时的视线方向的反方向；
Figure 451106DEST_PATH_IMAGE001
, where h x , h y , h z are the appropriate distances that the user should have from the display screen in three directions in the three-dimensional space obtained by machine learning, and s i is the actual distance of each user from the display space,
Figure 384427DEST_PATH_IMAGE002
It is the opposite direction of the user's line of sight when watching a movie; 调整展示空间的角度和形状：通过调整展示空间的倾斜角度和形状改变用户视线与展示空间的平面夹角，展示空间以某一轴线旋转的角度的计算公式如下：Adjust the angle and shape of the display space: By adjusting the inclination angle and shape of the display space, the angle between the user's line of sight and the plane of the display space is changed.
Figure 397513DEST_PATH_IMAGE003
，其中θi为各个用户的视线与展示空间的平面夹角；
Figure 397513DEST_PATH_IMAGE003
, where θ i is the angle between the line of sight of each user and the plane of the display space; 当θExp>0时，逆时针旋转；当θExp<0时，顺时针旋转；When θ Exp >0, rotate counterclockwise; when θ Exp <0, rotate clockwise; 展示空间在可变时间范围内周期性地改变位置和角度，以达到舒缓用户可能长时间观影所导致的脖子僵硬、眼睛疲劳；改变的大小由经机器学习方法得到的健康模型得出；The display space periodically changes its position and angle within a variable time range to relieve the stiff neck and eyestrain that may be caused by users watching movies for a long time; the size of the change is derived from the health model obtained by the machine learning method; 步骤六）基于公平度和体验感对用户满意度建模；Step 6) Model user satisfaction based on fairness and experience; 对于价格而言：Cost_Sat=a×Cost_Fai+b×Cost_Exp，其中a,b为用户公平度和体验感的影响参数，由数据训练得到；For price: Cost_Sat=a×Cost_Fai+b×Cost_Exp, where a and b are the influencing parameters of user fairness and experience, obtained from data training; 对于空间位置而言：
Figure 859718DEST_PATH_IMAGE004
，其中，为展示空间由原始位置移动 到(X,Y,Z)位置的向量； For spatial location:
Figure 859718DEST_PATH_IMAGE004
, which is the vector of the display space moving from the original position to the (X, Y, Z) position; 对于角度和形状而言：θSat=a×θFai + b×θExp 。For angle and shape: θ Sat = a×θ Fai + b×θ Exp .
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