WO2019127570A1 - Method for acquiring maximum rectangular projection image during projection unit keystone correction - Google Patents
Method for acquiring maximum rectangular projection image during projection unit keystone correction Download PDFInfo
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- WO2019127570A1 WO2019127570A1 PCT/CN2017/120396 CN2017120396W WO2019127570A1 WO 2019127570 A1 WO2019127570 A1 WO 2019127570A1 CN 2017120396 W CN2017120396 W CN 2017120396W WO 2019127570 A1 WO2019127570 A1 WO 2019127570A1
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
- H04N9/00—Details of colour television systems
- H04N9/12—Picture reproducers
- H04N9/31—Projection devices for colour picture display, e.g. using electronic spatial light modulators [ESLM]
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- the trapezoidal correction unit converts the image to be projected according to the deflection angle of the projection lens optical axis with respect to the lower, left and right directions of the projection display surface, thereby realizing automatic compensation of the deformation of the projection image.
- the technical problem to be solved by the present invention is to provide a projection image transformation algorithm capable of acquiring a maximum rectangular projection image during the trapezoidal correction of the projection unit.
- a positional relationship between the maximum rectangular projected image and the current projected image includes: a position of the reference vertex in the maximum rectangular projected image is consistent with a position of the reference vertex in the current projected image; the reference vertex is at a maximum
- the diagonal vertices in the rectangular projected image are located on the side of the current projected image that is opposite the reference vertices.
- the step of establishing a relationship including a maximum rectangular side length according to a positional relationship between the maximum rectangular projected image and the current projected image, and the step of obtaining a maximum rectangular side length includes:
- the method further includes: obtaining a side length of each side of the current projected image according to coordinates of each vertex of the current projected image;
- the step of establishing a relationship including a maximum rectangular side length according to a positional relationship between the maximum rectangular projected image and the current projected image, and the step of obtaining a maximum rectangular side length includes:
- the maximum rectangular side length is obtained according to the proportional relationship and the aspect ratio of the largest rectangle.
- the aspect ratio of the largest rectangle is set to a constant value.
- the reference vertex coincides with the reference vertex, or the distance between the reference vertex and the reference vertex is less than one tenth of the length of the long side passing through the reference vertex in the current projected picture.
- the reference vertex is the lower right corner vertex of the current projected picture.
- the reference vertex is the lower left corner vertex of the current projected picture.
- the reference vertex is the upper right corner vertex of the current projected picture.
- the reference vertex is the upper left corner vertex of the current projected picture.
- the invention determines the maximum rectangular projection image reference vertex coordinates by the position and posture of the projection unit and the deflection direction, and establishes a relationship including the maximum rectangular side length according to the positional relationship between the maximum rectangular projection image and the current projection image, and obtains the maximum rectangular side length, and finally according to the reference.
- the vertex coordinates and the maximum rectangle side length can determine the coordinates of each vertex of the largest rectangular projection image, thereby obtaining the largest rectangular projection image to ensure the best viewing effect for the user.
- the four vertex coordinates of the trapezoid A 1 B 1 C 1 D 1 of the current projection image can be obtained through perspective transformation, and the side lengths of the four sides can be further determined according to the coordinates of the four vertexes.
- the side A 1 B 1 is a
- the side C 1 D 1 is b
- the bottom A 1 D 1 is l
- the corrected rectangle ABCD is w.
- the height is h
- the aspect ratio is a fixed value, according to the user's viewing habits, for example, 16:9.
- FIG. 4 (a) through FIG diagonal of the rectangle BD longest point D 1 D is a 1:00 current reference vertex of the projected image, the maximum reference vertex point D rectangular projection image, D and D coincide.
- point When B is on the straight line B 1 C 1 the area of the rectangular ABCD is the largest.
- the vertices D of the rectangle ABCD coincide with D 1 , and the coordinates of the D point are known.
- the plane coordinates of the other vertices of the rectangle ABCD can be obtained, and the space of the rectangle ABCD can be obtained according to the deflection angle of the projection unit.
- the coordinates can be obtained by inverse perspective transformation to obtain the coordinates of each vertex of the corrected image, and the maximum rectangular projection image can be acquired.
- the relationship including the maximum rectangular side length is established according to the positional relationship between the maximum rectangular projection image and the current projected image, and the maximum rectangular side length is obtained.
- the maximum rectangular side length is obtained according to the proportional relationship.
- the horizontal deflection to the left in the vertical direction is taken as an example.
- the current projected image is shown in Fig. 2(b)
- the corrected maximum rectangular projected image is shown in Fig. 3(b).
- the four vertex coordinates of the current projection image quadrilateral A 1 B 1 C 1 D 1 can be obtained through perspective transformation.
- the corrected maximum rectangle ABCD width is w
- the height is h
- the aspect ratio is fixed
- the diagonal BD direction vector No change when the rectangular diagonal BD is the longest, the rectangular ABCD area is the largest.
- FIG. 4 (b) through FIG diagonal of the rectangle BD longest point D 1 D is a 1:00 current reference vertex of the projected image, the maximum reference vertex point D rectangular projection image, D and D coincide.
- point When B is on the straight line B 1 C 1 the area of the rectangular ABCD is the largest.
- the above method is also applicable to the case where the projection unit is only deflected horizontally with respect to the projection display surface.
- the deflection angle in the vertical direction is 0; therefore, when the projection unit is deflected relative to the projection display surface, including simultaneous occurrence
- the vertical direction and the horizontal direction are deflected, only the horizontal direction deflection occurs, or the vertical direction deflection angle is not too large, a relationship including the maximum rectangular side length is established according to the positional relationship between the maximum rectangular projected image and the current projected image, and the maximum rectangular side length is obtained.
- the process includes the following steps:
- This embodiment is the same as the second embodiment, and the step of obtaining the maximum rectangle is the same as that of the second embodiment.
- the projection unit has different deflection directions.
- the projection unit is vertically downward and horizontally deflected to the right.
- the projection display image is as shown in FIG. 2(c), and the corrected projection image is as shown in FIG. 3(c).
- the coordinates of point A are obtained as (x 3 -k*h, y 3 -h).
- the point A must be on the line A 1 D 1 , so the point A should satisfy the equation of the line A 1 D 1 .
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Abstract
The present invention belongs to the technical field of projection, and discloses a method for acquiring a maximum rectangular projection image during projection unit keystone correction. The method comprises: selecting a reference vertex of a current projection image according to a position posture and a deflection direction of a projection unit; setting coordinates of the reference vertex as coordinates of a reference vertex of the maximum rectangular projection image; establishing a relational expression containing a maximum rectangle side according to a positional relationship between the maximum rectangular projection image and the current projection image, and solving the maximum rectangle; and obtaining the coordinates of each vertex of the maximum rectangular projection image according to the coordinates of the reference vertex and the maximum rectangle side. By means of the method, the maximum rectangular projection image can be obtained so as to ensure the optimal film-watching effect for a user.
Description
本发明涉及投影单元梯形校正领域，尤其涉及投影单元梯形校正中最大矩形投影图像的获取方法。The present invention relates to the field of trapezoidal correction of a projection unit, and more particularly to a method for acquiring a maximum rectangular projection image in a trapezoidal correction of a projection unit.
投影单元的投影图像会根据投影单元相对于投影平面偏转角度的变化而呈现不同程度的变形。当投影单元投影镜头的光轴垂直于投影平面时，投影图像呈标准矩形；当投影单元投影镜头的光轴不垂直于投影平面时，光轴与投影平面上下方向、或左右方向、或上下左右方向的夹角不是直角，此时，投影图像呈上下梯形如图1（a）所示、或左右梯形如图1（b）所示、或完全不规则四边形如图1（c）所示，需要手动调整投影单元的摆放状态，使投影单元投影镜头的光轴尽可能垂直于投影屏幕，才能改善投影图像的变形，得到令人满意的图像。然而，手动调整不仅耗时，而且调整效果一般，因此引入了投影单元梯形校正方法。梯形校正单元根据投影单元投影镜头光轴相对于投影显示面上下、左右方向的偏转角度，对待投影图像进行变换，实现对投影图像形变的自动补偿。由于人们的观影习惯是投影图像尽可能大，呈标准矩形并且长宽保持一定的比例，例如16:9，这就要求在梯形校正过程中能够截取到保持一定长宽比例的最大矩形。The projected image of the projection unit will exhibit different degrees of deformation according to the change of the deflection angle of the projection unit with respect to the projection plane. When the optical axis of the projection unit projection lens is perpendicular to the projection plane, the projected image is a standard rectangle; when the optical axis of the projection unit projection lens is not perpendicular to the projection plane, the optical axis and the projection plane are up and down, or left and right, or up and down, left and right. The angle of the direction is not a right angle. At this time, the projected image has a vertical trapezoid as shown in Fig. 1(a), or a left and right trapezoid as shown in Fig. 1(b), or a completely irregular quadrilateral as shown in Fig. 1(c). It is necessary to manually adjust the placement state of the projection unit so that the optical axis of the projection unit projection lens is as perpendicular as possible to the projection screen, so as to improve the deformation of the projected image and obtain a satisfactory image. However, the manual adjustment is not only time consuming, but also the adjustment effect is general, so the projection unit trapezoidal correction method is introduced. The trapezoidal correction unit converts the image to be projected according to the deflection angle of the projection lens optical axis with respect to the lower, left and right directions of the projection display surface, thereby realizing automatic compensation of the deformation of the projection image. Since people's viewing habits are that the projected image is as large as possible, is a standard rectangle and maintains a certain ratio of length and width, for example, 16:9, it is required to capture a maximum rectangle that maintains a certain aspect ratio during the trapezoidal correction process.
本发明所要解决的技术问题在于，提供一种投影图像变换算法，能够在投影单元梯形校正过程中获取到最大矩形投影图像。The technical problem to be solved by the present invention is to provide a projection image transformation algorithm capable of acquiring a maximum rectangular projection image during the trapezoidal correction of the projection unit.
为解决该问题，本发明提供一种在投影单元梯形校正中获取最大矩形投影图像的方法，该方法包括：To solve the problem, the present invention provides a method for acquiring a maximum rectangular projection image in a projection unit keystone correction, the method comprising:
根据投影单元位置姿态及偏转方向选定当前投影图像的基准顶点；Selecting a reference vertex of the current projected image according to the position and posture of the projection unit and the deflection direction;
将该基准顶点坐标设置为最大矩形投影图像参考顶点坐标；Setting the reference vertex coordinates to the maximum rectangular projection image reference vertex coordinates;
根据最大矩形投影图像与当前投影图像的位置关系建立包含最大矩形边长的关系式，求取最大矩形边长；According to the positional relationship between the largest rectangular projected image and the current projected image, a relational expression including a maximum rectangular side length is established, and the maximum rectangular side length is obtained;
根据该参考顶点坐标及最大矩形边长获得最大矩形投影图像各顶点的坐标。The coordinates of each vertex of the largest rectangular projection image are obtained according to the reference vertex coordinates and the maximum rectangular side length.
进一步地，该方法还包括：Further, the method further includes:
根据投影单元偏转角度及透视变换系数求得当前投影图像各顶点的坐标；Obtaining coordinates of each vertex of the current projected image according to the deflection angle of the projection unit and the perspective transformation coefficient;
以及对最大矩形投影图像各顶点坐标进行逆透视变换获得校正图像各顶点坐标。And performing inverse perspective transformation on each vertex coordinate of the largest rectangular projection image to obtain coordinates of each vertex of the corrected image.
进一步地，所述最大矩形投影图像与当前投影图像的位置关系包括：所述参考顶点在最大矩形投影图像中的位置与所述基准顶点在当前投影图像中的位置一致；所述参考顶点在最大矩形投影图像中的对角顶点位于当前投影图像中与所述基准顶点相对的边上。Further, a positional relationship between the maximum rectangular projected image and the current projected image includes: a position of the reference vertex in the maximum rectangular projected image is consistent with a position of the reference vertex in the current projected image; the reference vertex is at a maximum The diagonal vertices in the rectangular projected image are located on the side of the current projected image that is opposite the reference vertices.
进一步地，所述根据最大矩形投影图像与当前投影图像的位置关系建立包含最大矩形边长的关系式，求取最大矩形边长的步骤包括：Further, the step of establishing a relationship including a maximum rectangular side length according to a positional relationship between the maximum rectangular projected image and the current projected image, and the step of obtaining a maximum rectangular side length includes:
建立当前投影图像中所述基准顶点对边的直线方程；Establishing a line equation of the opposite side of the reference vertex in the current projected image;
以所述参考顶点的坐标及最大矩形边长表示最大矩形投影图像中该参考顶点的对角顶点坐标；Determining a diagonal vertex coordinate of the reference vertex in the largest rectangular projection image by the coordinates of the reference vertex and the maximum rectangular side length;
将所述对角顶点坐标及最大矩形的长宽比代入该直线方程求解，获得最大矩形边长。Substituting the diagonal vertex coordinates and the aspect ratio of the largest rectangle into the linear equation to obtain the maximum rectangular side length.
进一步地，当投影单元仅发生左右方向偏转时，该方法还包括：根据当前投影图像各顶点坐标求得当前投影图像各边的边长；Further, when the projection unit only deflects in the left and right direction, the method further includes: obtaining a side length of each side of the current projected image according to coordinates of each vertex of the current projected image;
所述根据最大矩形投影图像与当前投影图像的位置关系建立包含最大矩形边长的关系式，求取最大矩形边长的步骤包括：The step of establishing a relationship including a maximum rectangular side length according to a positional relationship between the maximum rectangular projected image and the current projected image, and the step of obtaining a maximum rectangular side length includes:
以当前投影图像中所述基准顶点对边为斜边，以最大矩形投影图像中所述参考顶点的对角顶点及所述对边的两个端点之一为顶点分别构建两直角三角形；Constructing two right-angled triangles with the opposite side of the reference vertex as the oblique side in the current projected image, and the diagonal vertex of the reference vertex and one of the two end points of the opposite side in the largest rectangular projected image as the vertex;
根据相似三角形原理建立包含当前投影图像边长及最大矩形边长的比例关系式；Establishing a proportional relationship including the side length of the current projected image and the length of the largest rectangular side according to a similar triangle principle;
根据该比例关系式及最大矩形的长宽比求取最大矩形边长。The maximum rectangular side length is obtained according to the proportional relationship and the aspect ratio of the largest rectangle.
进一步地，在求取最大矩形边长的过程中，所述最大矩形的长宽比设置为定值。Further, in the process of obtaining the maximum rectangular side length, the aspect ratio of the largest rectangle is set to a constant value.
进一步地，所述参考顶点与基准顶点重合，或所述参考顶点与基准顶点之间的距离小于当前投影画面中通过该基准顶点的长边长度的十分之一。Further, the reference vertex coincides with the reference vertex, or the distance between the reference vertex and the reference vertex is less than one tenth of the length of the long side passing through the reference vertex in the current projected picture.
进一步地，当投影单元处于正装状态，并相对于投影显示面向右偏转或同时作向上和向右偏转时，所述基准顶点为当前投影画面的右下角顶点。Further, when the projection unit is in the upright state and is deflected to the right with respect to the projection display or simultaneously deflected upward and rightward, the reference vertex is the lower right corner vertex of the current projected picture.
进一步地，当投影单元处于正装状态，并相对于投影显示面向左偏转或同时作向上和向左偏转时，所述基准顶点为当前投影画面的左下角顶点。Further, when the projection unit is in the upright state and is deflected to the left with respect to the projection display or simultaneously deflected upward and leftward, the reference vertex is the lower left corner vertex of the current projected picture.
进一步地，当投影单元处于吊装状态，并相对于投影显示面向右偏转或同时作向下和向右偏转时，所述基准顶点为当前投影画面的右上角顶点。Further, when the projection unit is in the hoisting state and is deflected to the right with respect to the projection display or simultaneously deflected downward and rightward, the reference vertex is the upper right corner vertex of the current projected picture.
进一步地，当投影单元处于吊装状态，并相对于投影显示面向左偏转或同时作向下和向左偏转时，所述基准顶点为当前投影画面的左上角顶点。Further, when the projection unit is in the hoisting state and is deflected to the left with respect to the projection display or simultaneously deflected downward and leftward, the reference vertex is the upper left corner vertex of the current projected picture.
本发明通过投影单元位置姿态及偏转方向确定最大矩形投影图像参考顶点坐标，根据最大矩形投影图像与当前投影图像的位置关系建立包括最大矩形边长的关系式求得最大矩形边长，最终根据参考顶点坐标及最大矩形边长即可确定最大矩形投影图像各顶点的坐标，从而获得最大矩形投影图像，以保证使用者获得最佳观影效果。The invention determines the maximum rectangular projection image reference vertex coordinates by the position and posture of the projection unit and the deflection direction, and establishes a relationship including the maximum rectangular side length according to the positional relationship between the maximum rectangular projection image and the current projection image, and obtains the maximum rectangular side length, and finally according to the reference. The vertex coordinates and the maximum rectangle side length can determine the coordinates of each vertex of the largest rectangular projection image, thereby obtaining the largest rectangular projection image to ensure the best viewing effect for the user.
图1（a）、1（b）、1（c）是投影单元梯形校正示意图；1(a), 1(b), and 1(c) are schematic diagrams of trapezoidal correction of a projection unit;
图2（a）、2（b）、2（c）是投影单元不同的位置姿态投影图像示意图；2(a), 2(b), 2(c) are schematic diagrams of different positions and attitude projection images of the projection unit;
图3（a）、3（b）、3（c）是当前投影图像变换得到长宽比固定的最大矩形投影图像示意图；3(a), 3(b), and 3(c) are schematic diagrams showing a maximum rectangular projection image with a fixed aspect ratio obtained by current projection image transformation;
图4（a）、4（b）、4（c）是通过当前投影图像获得长宽比不变的最大矩形投影图像示意图。4(a), 4(b), and 4(c) are schematic diagrams of the largest rectangular projection image obtained by the current projected image with the same aspect ratio.
为了满足使用者的观影习惯，本发明提供一种在投影单元梯形校正中获取最大矩形投影图像的方法，该方法包括以下步骤：In order to satisfy the user's viewing habits, the present invention provides a method for acquiring a maximum rectangular projection image in a projection unit keystone correction, the method comprising the following steps:
首先，需根据投影单元位置姿态及偏转方向选定当前投影图像的基准顶点，投影单元位置姿态包括正装状态及吊装状态，偏转方向则包括投影单元相对于投影显示面垂直方向、水平方向偏转，即向上下、左右方向的偏转，投影单元位置姿态及偏转方向不同时，所选定当前投影图像的基准顶点也不同，具体如下：Firstly, the reference vertices of the current projected image are selected according to the position and posture of the projection unit and the yaw direction. The position and posture of the projection unit include a dressing state and a hoisting state, and the yaw direction includes a vertical direction and a horizontal direction of the projection unit relative to the projection display surface, that is, When the deflection in the up, down, left and right directions, the position and posture of the projection unit, and the yaw direction are different, the reference vertices of the selected current projected image are also different, as follows:
当投影单元处于正装状态，并相对于投影显示面向右偏转或同时作向上和向右偏转时，基准顶点为当前投影画面的右下角顶点；When the projection unit is in the upright state and is deflected to the right with respect to the projection display or simultaneously deflected upward and rightward, the reference vertex is the lower right corner vertex of the current projection picture;
当投影单元处于正装状态，并相对于投影显示面向左偏转或同时作向上和向左偏转时，基准顶点为当前投影画面的左下角顶点；When the projection unit is in the upright state and is deflected to the left with respect to the projection display or simultaneously deflected upward and leftward, the reference vertex is the lower left corner vertex of the current projected picture;
当投影单元处于吊装状态，并相对于投影显示面向右偏转或同时作向下和向右偏转时，基准顶点为当前投影画面的右上角顶点；When the projection unit is in the hoisting state and is deflected to the right with respect to the projection display or simultaneously deflected downward and rightward, the reference vertex is the upper right corner vertex of the current projection picture;
当投影单元处于吊装状态，并相对于投影显示面向左偏转或同时作向下和向左偏转时，所述基准顶点为当前投影画面的左上角顶点。When the projection unit is in the hoisting state and is deflected to the left with respect to the projection display or simultaneously deflected downward and leftward, the reference vertex is the upper left corner vertex of the current projected picture.
实际操作中，以投影单元相对于投影显示面在水平及垂直方向偏转角度的正负值来区分投影单元位置姿态及偏转方向。In actual operation, the position and posture of the projection unit and the deflection direction are distinguished by the positive and negative values of the deflection angle of the projection unit relative to the projection display surface in the horizontal and vertical directions.
选定基准顶点后，将该基准顶点坐标设置为最大矩形投影图像的参考顶点坐标，且参考顶点在最大矩形投影图像中的位置与基准顶点在当前投影图像中的位置一致。即选定当前投影图像中的某一顶点作为最大矩形投影图像的一个顶点，而具体选定当前投影图像中的哪一个顶点则由上述投影单元位置姿态及偏转方向决定，如果选定当前投影图像中的顶点位于右下角，则最大矩形投影图像中与其相应的顶点也位于右下角；如果选定当前投影图像中的顶点位于左上角，则最大矩形投影图像中与其相应的顶点也位于左上角，依次类推。After the reference vertex is selected, the reference vertex coordinates are set to the reference vertex coordinates of the largest rectangular projected image, and the position of the reference vertex in the largest rectangular projected image coincides with the position of the reference vertex in the current projected image. That is, a vertex in the current projected image is selected as a vertex of the largest rectangular projected image, and which vertex in the current projected image is specifically selected is determined by the position and posture of the projection unit and the deflection direction, if the current projected image is selected The vertex in the lower right corner is located in the lower right corner of the largest rectangular projection image; if the vertex in the current projected image is located in the upper left corner, the corresponding vertex in the largest rectangular projection image is also in the upper left corner. And so on.
由于求取最大矩形投影图像涉及最优化问题，而最优化问题必然会存在误差，理论上希望误差越小越好，以保证最终求取结果满足用户需求。因此，参考顶点与基准顶点可以是重合的，也允许有一定误差，但误差范围需满足：参考顶点与基准顶点之间的距离小于当前投影画面中通过该基准顶点的长边长度的十分之一。Since the maximum rectangular projection image is involved in the optimization problem, the optimization problem is bound to have errors. Theoretically, the smaller the error, the better, so as to ensure that the final result meets the user's needs. Therefore, the reference vertex and the reference vertex can be coincident, and a certain error is allowed, but the error range needs to be satisfied: the distance between the reference vertex and the reference vertex is smaller than the length of the long side of the current projected picture passing through the reference vertex. One.
如图4（a）、4（b）、4（c）所示，只有当参考顶点与基准顶点位置一致，且参考顶点在矩形投影图像中的对角顶点位于当前投影图像中与所述基准顶点相对的边上时，才能获得最大矩形。因此，最大矩形的参考顶点确定后，其还需要满足参考顶点在最大矩形投影图像中的对角顶点位于当前投影图像中与所述基准顶点相对的边上这一条件。接下来根据最大矩形投影图像与当前投影图像上述顶点与顶点及顶点与边的位置关系即可建立包括最大矩形边长的关系式，求取最大矩形边长。As shown in Figures 4(a), 4(b), and 4(c), only when the reference vertex coincides with the reference vertex position, and the diagonal vertex of the reference vertex in the rectangular projected image is located in the current projected image and the reference The largest rectangle is obtained when the opposite side of the vertex is on. Therefore, after the reference vertex of the largest rectangle is determined, it also needs to satisfy the condition that the diagonal vertex of the reference vertex in the largest rectangular projection image is located on the side of the current projected image opposite to the reference vertex. Then, according to the position relationship between the vertices and the vertices and the vertices and the edges of the current rectangular projected image and the current projected image, a relational expression including the maximum rectangular side length can be established, and the maximum rectangular side length can be obtained.
需要注意的是，在求取最大矩形边长的过程中，需要将最大矩形的长宽比设置为定值，例如16:9、4:3等符合用户观影习惯的比值，或者在其上下小范围变化的其他比值例如16.5:9、17:9.5等等，只要保证用户在观看时感受不到明显不适即可。即每一次求取最大矩形边长时均可将最大矩形的长宽比设置为上述任一不同的比值，但在单次求取最大矩形边长的过程中，需要保证最大矩形的长宽比维持上述某一比值不变。It should be noted that in the process of obtaining the maximum rectangular side length, it is necessary to set the aspect ratio of the largest rectangle to a fixed value, for example, a ratio such as 16:9, 4:3, etc., which is in accordance with the user's viewing habit, or Other ratios of small range changes such as 16.5:9, 17:9.5, etc., as long as the user is not aware of the obvious discomfort while watching. That is, each time the maximum rectangular side length is obtained, the aspect ratio of the largest rectangle can be set to any of the above different ratios, but in the process of obtaining the maximum rectangular side length in a single time, it is necessary to ensure the aspect ratio of the largest rectangle. Maintain a certain ratio above.
最大矩形的边长确定、参考顶点的坐标也确定，根据参考顶点坐标及最大矩形边长即可获得最大矩形投影图像各顶点的坐标。The edge length of the largest rectangle is determined, and the coordinates of the reference vertex are also determined. The coordinates of the vertices of the largest rectangular projection image can be obtained according to the reference vertex coordinates and the maximum rectangular side length.
其中，当前投影图像各顶点的坐标可根据投影单元偏转角度及透视变换系数求得。在投影单元梯形校正过程中通过梯形校正单元获得相关的梯形变换参数，包括投影单元相对于投影显示面的上下偏转角及左右偏转角。根据上述梯形变换参数经透视变换即可计算出当前投影图像四个顶点的坐标，进一步地，还可以计算出投影图像四个边的边长。而最大矩形投影图像各顶点的坐标确定后，对其进行逆透视变换即可获得校正图像各顶点坐标，投影单元根据校正图像进行投影即可获得最大矩形投影图像。The coordinates of each vertex of the current projected image can be obtained according to the deflection angle of the projection unit and the perspective transformation coefficient. During the trapezoidal correction of the projection unit, the relevant trapezoidal transformation parameters are obtained by the trapezoidal correction unit, including the vertical deflection angle and the left and right deflection angle of the projection unit with respect to the projection display surface. According to the above-mentioned trapezoidal transformation parameter, the coordinates of the four vertices of the current projection image can be calculated through perspective transformation, and further, the side lengths of the four sides of the projection image can be calculated. After the coordinates of each vertex of the largest rectangular projection image are determined, the coordinates of each vertex of the corrected image can be obtained by performing inverse perspective transformation, and the projection unit can project the corrected image to obtain the largest rectangular projection image.
下面以投影单元处于正装状态为例，详细介绍求取最大矩形边长的过程：In the following, taking the projection unit in the formal state as an example, the process of obtaining the maximum rectangular side length is described in detail:
实施例一Embodiment 1
投影单元相对于投影显示面垂直方向没有偏转，只有水平方向偏转时，以投影单元水平向右偏转为例，当前投影图像为如图2（a）所示的梯形，校正后所获得的最大矩形投影图像如图3（a）所示。The projection unit has no deflection with respect to the vertical direction of the projection display surface. When the horizontal direction is deflected, the projection unit is horizontally deflected to the right as an example. The current projection image is a trapezoid as shown in FIG. 2(a), and the maximum rectangle obtained after the correction is obtained. The projected image is shown in Figure 3(a).
[根据细则26改正16.03.2018]
根据投影单元偏转角度经透视变换可以求出当前投影图像梯形A 1B 1C 1D 1的四个顶点坐标，根据四个顶点坐标可进一步求出四条边的边长。设梯形A 1B 1C 1D 1中，边A 1B 1长为a，边C 1D 1长为b,底边A 1D 1长为l；设校正后的矩形ABCD宽为w,高为h, 宽高比为k=w/h宽高比为定值，依照使用者的观影习惯，例如16:9。宽高比一定，对角线BD方向向量
不变，当矩形对角线BD最长时，矩形ABCD面积最大。如图4（a）所示矩形对角线BD过D 1点时最长，D 1点为当前投影图像的基准顶点，D点为最大矩形投影图像的参考顶点， D与D 1重合、点B在直线B 1C 1上时，矩形ABCD面积最大。[Correct according to Rule 26 16.03.2018]
According to the deflection angle of the projection unit, the four vertex coordinates of the trapezoid A 1 B 1 C 1 D 1 of the current projection image can be obtained through perspective transformation, and the side lengths of the four sides can be further determined according to the coordinates of the four vertexes. In the trapezoid A 1 B 1 C 1 D 1 , the side A 1 B 1 is a, the side C 1 D 1 is b, the bottom A 1 D 1 is l, and the corrected rectangle ABCD is w. The height is h, and the aspect ratio is k=w/h. The aspect ratio is a fixed value, according to the user's viewing habits, for example, 16:9. The aspect ratio is fixed, the diagonal BD direction vector No change, when the rectangular diagonal BD is the longest, the rectangular ABCD area is the largest. FIG. 4 (a) through FIG diagonal of the rectangle BD longest point D 1, D is a 1:00 current reference vertex of the projected image, the maximum reference vertex point D rectangular projection image, D and D coincide. 1, point When B is on the straight line B 1 C 1 , the area of the rectangular ABCD is the largest.
根据投影单元偏转角度经透视变换可以求出当前投影图像梯形A 1B 1C 1D 1的四个顶点坐标，根据四个顶点坐标可进一步求出四条边的边长。设梯形A 1B 1C 1D 1中，边A 1B 1长为a，边C 1D 1长为b,底边A 1D 1长为l；设校正后的矩形ABCD宽为w,高为h, 宽高比为k=w/h宽高比为定值，依照使用者的观影习惯，例如16:9。宽高比一定，对角线BD方向向量
According to the deflection angle of the projection unit, the four vertex coordinates of the trapezoid A 1 B 1 C 1 D 1 of the current projection image can be obtained through perspective transformation, and the side lengths of the four sides can be further determined according to the coordinates of the four vertexes. In the trapezoid A 1 B 1 C 1 D 1 , the side A 1 B 1 is a, the side C 1 D 1 is b, the bottom A 1 D 1 is l, and the corrected rectangle ABCD is w. The height is h, and the aspect ratio is k=w/h. The aspect ratio is a fixed value, according to the user's viewing habits, for example, 16:9. The aspect ratio is fixed, the diagonal BD direction vector
[根据细则26改正16.03.2018]
如图3（a）所示，由B 1向AB作水平垂线，设垂足为H，则直角三角形
与直角三角形 
相似。从相似三角形性质可以得到： 
即： 
将w=k×h代入上式可得： 
由该式可以求出矩形的高 
根据w=k×h可进一步求出矩形的宽w。[Correct according to Rule 26 16.03.2018]
As shown in Fig. 3(a), the horizontal perpendicular is from B 1 to AB, and the vertical foot is H, then the right triangle is With right triangle similar. From the similar triangle properties you can get: which is: Substituting w=k×h into the above formula gives: From this formula, the height of the rectangle can be found. The width w of the rectangle can be further obtained from w=k×h.
如图3（a）所示，由B 1向AB作水平垂线，设垂足为H，则直角三角形
As shown in Fig. 3(a), the horizontal perpendicular is from B 1 to AB, and the vertical foot is H, then the right triangle is
矩形ABCD顶点D与D
1重合，D点坐标已知，根据矩形的宽w与高h，即可求出矩形ABCD其他各个顶点的平面坐标，根据投影单元偏转角度即可求出矩形ABCD的空间坐标，再通过逆透视变换即可求出校正图像的各顶点坐标，实现最大矩形投影图像的获取。
The vertices D of the rectangle ABCD coincide with D 1 , and the coordinates of the D point are known. According to the width w and height h of the rectangle, the plane coordinates of the other vertices of the rectangle ABCD can be obtained, and the space of the rectangle ABCD can be obtained according to the deflection angle of the projection unit. The coordinates can be obtained by inverse perspective transformation to obtain the coordinates of each vertex of the corrected image, and the maximum rectangular projection image can be acquired.
因此，当投影单元相对于投影显示面垂直方向没有偏转，只有水平方向偏转时，根据最大矩形投影图像与当前投影图像的位置关系建立包括最大矩形边长的关系式，求取最大矩形边长的过程包括以下步骤：Therefore, when the projection unit is not deflected in the vertical direction with respect to the projection display surface, and only the horizontal direction is deflected, the relationship including the maximum rectangular side length is established according to the positional relationship between the maximum rectangular projection image and the current projected image, and the maximum rectangular side length is obtained. The process includes the following steps:
以当前投影图像中基准顶点对边为斜边，构建两直角三角形；Constructing two right-angled triangles with the opposite sides of the reference vertex in the current projected image as oblique sides;
根据相似三角形原理建立包括当前投影图像边长及最大矩形边长的比例关系式；Establishing a proportional relationship including the side length of the current projected image and the length of the largest rectangular side according to the principle of similar triangles;
根据该比例关系式求取最大矩形边长。The maximum rectangular side length is obtained according to the proportional relationship.
实施例二Embodiment 2
当投影单元相对于投影显示面同时发生垂直方向及水平方向的偏转时，以垂直向上同时水平向左偏转为例。当前投影图像如图2（b）所示，校正后最大矩形投影图像如图3（b）所示。
When the projection unit is deflected in the vertical direction and the horizontal direction simultaneously with respect to the projection display surface, the horizontal deflection to the left in the vertical direction is taken as an example. The current projected image is shown in Fig. 2(b), and the corrected maximum rectangular projected image is shown in Fig. 3(b).
[根据细则26改正16.03.2018]
根据投影单元偏转角度经透视变换可以求出当前投影图像四边形A 1B 1C 1D 1的四个顶点坐标，设校正后的最大矩形ABCD宽为w,高为h,宽高比为k=w/h（为定值，例如16:9）。宽高比一定，对角线BD方向向量 不变，当矩形对角线BD最长时，矩形ABCD面积最大。如图4（b）所示矩形对角线BD过D 1点时最长，D 1点为当前投影图像的基准顶点，D点为最大矩形投影图像的参考顶点， D与D 1重合、点B在直线B 1C 1上时，矩形ABCD面积最大。[Correct according to Rule 26 16.03.2018]
According to the deflection angle of the projection unit, the four vertex coordinates of the current projection image quadrilateral A 1 B 1 C 1 D 1 can be obtained through perspective transformation. The corrected maximum rectangle ABCD width is w, the height is h, and the aspect ratio is k= w/h (for a fixed value, for example 16:9). The aspect ratio is fixed, the diagonal BD direction vector No change, when the rectangular diagonal BD is the longest, the rectangular ABCD area is the largest. FIG. 4 (b) through FIG diagonal of the rectangle BD longest point D 1, D is a 1:00 current reference vertex of the projected image, the maximum reference vertex point D rectangular projection image, D and D coincide. 1, point When B is on the straight line B 1 C 1 , the area of the rectangular ABCD is the largest.
根据投影单元偏转角度经透视变换可以求出当前投影图像四边形A 1B 1C 1D 1的四个顶点坐标，设校正后的最大矩形ABCD宽为w,高为h,宽高比为k=w/h（为定值，例如16:9）。宽高比一定，对角线BD方向向量
According to the deflection angle of the projection unit, the four vertex coordinates of the current projection image quadrilateral A 1 B 1 C 1 D 1 can be obtained through perspective transformation. The corrected maximum rectangle ABCD width is w, the height is h, and the aspect ratio is k= w/h (for a fixed value, for example 16:9). The aspect ratio is fixed, the diagonal BD direction vector
如图3（b）所示，设点A
1坐标为(x
1,
y
1), 点B
1坐标为(x
2, y
2), 点C
1坐标为(x
3,
y
3), 点D
1坐标为(x
4, y
4)，均为已知量。由于D点与D
1点重合，因此由D点坐标为(x
4,
y
4)， B点坐标可表示为(x
4-w,
y
4-h)。代入宽高比k=w/h，得到B点坐标为(x
4-k×h, y
4-h)。由于矩形ABCD面积最大时，点B必须在直线B
1C
1上，因此点B满足直线B
1C
1方程：
As shown in Fig. 3(b), the coordinates of point A 1 are (x 1 , y 1 ), the coordinates of point B 1 are (x 2 , y 2 ), and the coordinates of point C 1 are (x 3 , y 3 ), The D 1 coordinates are (x 4 , y 4 ) and are all known quantities. Since the point D coincides with the point D. 1, and therefore the point D coordinates (x 4, y 4), B can be expressed as coordinates (x 4 -w, y 4 -h ). Substituting the aspect ratio k=w/h, the coordinates of point B are obtained as (x 4 -k×h, y 4 -h). Since the area of the rectangular ABCD is the largest, the point B must be on the straight line B 1 C 1 , so the point B satisfies the straight line B 1 C 1 equation:
[根据细则26改正16.03.2018]
[Correct according to Rule 26 16.03.2018]
求解该方程，即可得到h及B点坐标(x
4-k×h, y
4-h)。由宽高比k=w/h可求出w,于是矩形ABCD各点坐标均可以求出。
Solving the equation yields the coordinates of h and B (x 4 -k×h, y 4 -h). W can be obtained from the aspect ratio k=w/h, so that the coordinates of each point of the rectangular ABCD can be obtained.
进一步地，由矩形ABCD各点坐标通过逆透视变换即可求出校正图像的各顶点坐标，从而实现最大矩形投影图像的获取。Further, the coordinates of the vertices of the corrected image can be obtained by inverse perspective transformation from the coordinates of each point of the rectangle ABCD, thereby realizing the acquisition of the largest rectangular projection image.
上述方法同样适用于投影单元相对于投影显示面仅发生水平方向偏转的情况，该种情况下，垂直方向的偏转角度为0；因此，当投影单元相对于投影显示面发生偏转时，包括同时发生垂直方向和水平方向偏转、仅发生水平方向偏转、或垂直方向偏转角度不过大时，根据最大矩形投影图像与当前投影图像的位置关系建立包括最大矩形边长的关系式，求取最大矩形边长的过程包括以下步骤：The above method is also applicable to the case where the projection unit is only deflected horizontally with respect to the projection display surface. In this case, the deflection angle in the vertical direction is 0; therefore, when the projection unit is deflected relative to the projection display surface, including simultaneous occurrence When the vertical direction and the horizontal direction are deflected, only the horizontal direction deflection occurs, or the vertical direction deflection angle is not too large, a relationship including the maximum rectangular side length is established according to the positional relationship between the maximum rectangular projected image and the current projected image, and the maximum rectangular side length is obtained. The process includes the following steps:
建立当前投影图像中基准顶点对边的直线方程；Establish a straight line equation for the opposite side of the reference vertex in the current projected image;
以参考顶点的坐标及最大矩形边长表示最大矩形投影图像中该参考顶点的对角顶点坐标；The coordinates of the reference vertex and the maximum rectangle side length represent the diagonal vertex coordinates of the reference vertex in the largest rectangular projection image;
将对角顶点坐标代入该直线方程求解，获得最大矩形边长。Substituting the diagonal vertex coordinates into the line equation to obtain the maximum rectangular side length.
实施例三Embodiment 3
本实施例与实施例二原理相同，求取最大矩形的步骤与实施例二相同。只是投影单元偏转方向不同，本实施例以投影单元垂直向下同时水平向右偏转为例，投影显示图像如图2（c）所示，校正后投影图像如图3（c）所示。This embodiment is the same as the second embodiment, and the step of obtaining the maximum rectangle is the same as that of the second embodiment. However, the projection unit has different deflection directions. In this embodiment, the projection unit is vertically downward and horizontally deflected to the right. The projection display image is as shown in FIG. 2(c), and the corrected projection image is as shown in FIG. 3(c).
[根据细则26改正16.03.2018]
根据投影单元偏转角度经透视变换可以求出当前投影图像四边形A 1B 1C 1D 1各个顶点平面坐标，设校正后的最大矩形投影图像ABCD宽为w,高为h,宽高比为k=w/h（为定值，例如16:9）。宽高比一定，对角线CA方向向量
不变，当矩形对角线CA最长时，矩形ABCD面积最大。如图4（c）所示矩形对角线CA过C 1点时最长，C 1点为当前投影图像的基准顶点，C点为最大矩形投影图像的参考顶点， C与C 1重合、点A在直线A 1D 1上时，矩形ABCD面积最大。[Correct according to Rule 26 16.03.2018]
According to the deflection angle of the projection unit, the coordinates of each vertex plane of the current projection image quadrilateral A 1 B 1 C 1 D 1 can be obtained by perspective transformation. The corrected maximum rectangular projection image ABCD is w, the height is h, and the aspect ratio is k. =w/h (for a fixed value, for example 16:9). The aspect ratio is fixed, the diagonal CA direction vector Invariant, when the rectangular diagonal CA is the longest, the area of the rectangular ABCD is the largest. FIG. 4 (c) as shown in the longest diagonal of the rectangle CA C over 1 point, C 1:00 current reference vertex of the projected image, the point C is the maximum reference vertex of the rectangular projection image, with C 1 C coincides point When A is on the straight line A 1 D 1 , the area of the rectangular ABCD is the largest.
根据投影单元偏转角度经透视变换可以求出当前投影图像四边形A 1B 1C 1D 1各个顶点平面坐标，设校正后的最大矩形投影图像ABCD宽为w,高为h,宽高比为k=w/h（为定值，例如16:9）。宽高比一定，对角线CA方向向量
According to the deflection angle of the projection unit, the coordinates of each vertex plane of the current projection image quadrilateral A 1 B 1 C 1 D 1 can be obtained by perspective transformation. The corrected maximum rectangular projection image ABCD is w, the height is h, and the aspect ratio is k. =w/h (for a fixed value, for example 16:9). The aspect ratio is fixed, the diagonal CA direction vector
如图3（c）所示，设点A
1坐标为(x
1,
y
1), 点B
1坐标为(x
2, y
2), 点C
1坐标为(x
3,
y
3), 点D
1坐标为(x
4, y
4)，均为已知量。由于点C和点C
1重合，因此B点坐标可表示为(x
3-w,
y
3), D点坐标(x
3,
y
3-h), A点坐标(x
3-w,
y
3-h)。代入宽高比k=w/h，得到A点坐标为(x
3-k*h,
y
3-h)。要矩形ABCD面积最大，点A必须在直线A
1D
1上，因此点A要满足直线A
1D
1方程。
As shown in Fig. 3(c), the coordinates of point A 1 are (x 1 , y 1 ), the coordinates of point B 1 are (x 2 , y 2 ), and the coordinates of point C 1 are (x 3 , y 3 ), The D 1 coordinates are (x 4 , y 4 ) and are all known quantities. Since point C and point C 1 coincide, the coordinates of point B can be expressed as (x 3 -w, y 3 ), coordinates of point D (x 3 , y 3 -h), coordinates of point A (x 3 -w, y 3 -h). Substituting the aspect ratio k=w/h, the coordinates of point A are obtained as (x 3 -k*h, y 3 -h). To have the largest area of the rectangle ABCD, the point A must be on the line A 1 D 1 , so the point A should satisfy the equation of the line A 1 D 1 .
[根据细则26改正16.03.2018]
[Correct according to Rule 26 16.03.2018]
求解该方程，即可得到h及A点坐标(x
3-k*h, y
3-h)。由宽高比k=w/h可求出w,这样矩形ABCD各顶点坐标均可求出。由矩形ABCD各顶点坐标通过逆透视变换即可求出校正图像的各顶点坐标。
Solving the equation gives the coordinates of h and A points (x 3 -k*h, y 3 -h). W can be obtained from the aspect ratio k=w/h, so that the coordinates of the vertices of the rectangular ABCD can be obtained. The coordinates of the vertices of the corrected image can be obtained by inverse perspective transformation from the coordinates of the vertices of the rectangle ABCD.
应当理解的是，以上实施例仅用以说明发明的技术方案，而非对其限制，对本领域技术人员来说，可以对上述实施例所记载的技术方案进行修改，或者对其中部分技术特征进行等同替换；而所有这些修改和替换，都应属于本发明所附权利要求的保护范围。It should be understood that the above embodiments are only used to illustrate the technical solutions of the invention, and are not limited thereto. For those skilled in the art, the technical solutions described in the foregoing embodiments may be modified, or some of the technical features may be performed. All such modifications and substitutions are intended to fall within the scope of the appended claims.
Claims (10)
- 一种在投影单元梯形校正中获取最大矩形投影图像的方法，其特征在于，该方法包括：A method for obtaining a maximum rectangular projected image in a trapezoidal correction of a projection unit, the method comprising:根据投影单元位置姿态及偏转方向选定当前投影图像的基准顶点；Selecting a reference vertex of the current projected image according to the position and posture of the projection unit and the deflection direction;将该基准顶点坐标设置为最大矩形投影图像参考顶点坐标；Setting the reference vertex coordinates to the maximum rectangular projection image reference vertex coordinates;根据最大矩形投影图像与当前投影图像的位置关系建立包含最大矩形边长的关系式，求取最大矩形边长；According to the positional relationship between the largest rectangular projected image and the current projected image, a relational expression including a maximum rectangular side length is established, and the maximum rectangular side length is obtained;根据该参考顶点坐标及最大矩形边长获得最大矩形投影图像各顶点的坐标。The coordinates of each vertex of the largest rectangular projection image are obtained according to the reference vertex coordinates and the maximum rectangular side length.
- 根据权利要求1所述的方法，其特征在于，该方法还包括：The method of claim 1 further comprising:根据投影单元偏转角度及透视变换系数求得当前投影图像各顶点的坐标；Obtaining coordinates of each vertex of the current projected image according to the deflection angle of the projection unit and the perspective transformation coefficient;以及对最大矩形投影图像各顶点坐标进行逆透视变换获得校正图像各顶点坐标。And performing inverse perspective transformation on each vertex coordinate of the largest rectangular projection image to obtain coordinates of each vertex of the corrected image.
- 根据权利要求2所述的方法，其特征在于，所述最大矩形投影图像与当前投影图像的位置关系包括：所述参考顶点在最大矩形投影图像中的位置与所述基准顶点在当前投影图像中的位置一致；所述参考顶点在最大矩形投影图像中的对角顶点位于当前投影图像中与所述基准顶点相对的边上。The method according to claim 2, wherein the positional relationship between the maximum rectangular projected image and the current projected image comprises: a position of the reference vertex in the largest rectangular projected image and the reference vertex in the current projected image The positions of the reference vertices in the largest rectangular projection image are located on the opposite side of the current projected image from the reference vertices.
- 根据权利要求3所述的方法，其特征在于，所述根据最大矩形投影图像与当前投影图像的位置关系建立包含最大矩形边长的关系式，求取最大矩形边长的步骤包括：The method according to claim 3, wherein the step of determining a maximum rectangular side length according to a positional relationship between the maximum rectangular projected image and the current projected image comprises: obtaining a maximum rectangular side length:建立当前投影图像中所述基准顶点对边的直线方程；Establishing a line equation of the opposite side of the reference vertex in the current projected image;以所述参考顶点的坐标及最大矩形边长表示最大矩形投影图像中该参考顶点的对角顶点坐标；Determining a diagonal vertex coordinate of the reference vertex in the largest rectangular projection image by the coordinates of the reference vertex and the maximum rectangular side length;将所述对角顶点坐标及最大矩形的长宽比代入该直线方程求解，获得最大矩形边长。Substituting the diagonal vertex coordinates and the aspect ratio of the largest rectangle into the linear equation to obtain the maximum rectangular side length.
- 根据权利要求3所述的方法，其特征在于，当投影单元仅发生左右方向偏转时，该方法还包括：根据当前投影图像各顶点坐标求得当前投影图像各边的边长；The method according to claim 3, wherein when the projection unit only deflects in the left and right direction, the method further comprises: obtaining a side length of each side of the current projected image according to coordinates of each vertex of the current projected image;所述根据最大矩形投影图像与当前投影图像的位置关系建立包含最大矩形边长的关系式，求取最大矩形边长的步骤包括：The step of establishing a relationship including a maximum rectangular side length according to a positional relationship between the maximum rectangular projected image and the current projected image, and the step of obtaining a maximum rectangular side length includes:以当前投影图像中所述基准顶点对边为斜边，以最大矩形投影图像中所述参考顶点的对角顶点及所述对边的两个端点之一为顶点分别构建两直角三角形；Constructing two right-angled triangles with the opposite side of the reference vertex as the oblique side in the current projected image, and the diagonal vertex of the reference vertex and one of the two end points of the opposite side in the largest rectangular projected image as the vertex;根据相似三角形原理建立包含当前投影图像边长及最大矩形边长的比例关系式；Establishing a proportional relationship including the side length of the current projected image and the length of the largest rectangular side according to a similar triangle principle;根据该比例关系式及最大矩形的长宽比求取最大矩形边长。The maximum rectangular side length is obtained according to the proportional relationship and the aspect ratio of the largest rectangle.
- 根据权利要求4或5所述的方法，其特征在于，在求取最大矩形边长的过程中，所述最大矩形的长宽比设置为定值。The method according to claim 4 or 5, characterized in that in the process of determining the maximum rectangular side length, the aspect ratio of the largest rectangle is set to a constant value.
- 根据权利要求4或5所述的方法，其特征在于，所述参考顶点与基准顶点重合，或所述参考顶点与基准顶点之间的距离小于当前投影画面中通过该基准顶点的长边长度的十分之一。The method according to claim 4 or 5, wherein the reference vertex coincides with the reference vertex, or the distance between the reference vertex and the reference vertex is smaller than the length of the long side passing through the reference vertex in the current projected picture. one tenth.
- 根据权利要求4或5所述的方法，其特征在于，当投影单元处于正装状态，并相对于投影显示面向右偏转或同时作向上和向右偏转时，所述基准顶点为当前投影画面的右下角顶点。The method according to claim 4 or 5, wherein the reference vertex is the right of the current projected picture when the projection unit is in the upright state and is deflected to the right with respect to the projection display or simultaneously deflected upward and rightward Lower corner vertices.
- 根据权利要求4或5所述的方法，其特征在于，当投影单元处于正装状态，并相对于投影显示面向左偏转或同时作向上和向左偏转时，所述基准顶点为当前投影画面的左下角顶点。The method according to claim 4 or 5, wherein the reference vertex is the lower left of the current projected picture when the projection unit is in the upright state and is deflected to the left with respect to the projection display or simultaneously deflected upward and leftward. Corner vertices.
- 根据权利要求4或5所述方法，其特征在于，当投影单元处于吊装状态，并相对于投影显示面向右偏转或同时作向下和向右偏转时，所述基准顶点为当前投影画面的右上角顶点。The method according to claim 4 or 5, wherein the reference vertex is the upper right of the current projected picture when the projection unit is in the hoisting state and is deflected to the right with respect to the projection display or simultaneously deflected downward and to the right. Corner vertices.11.根据权利要求4或5所述的方法，其特征在于，当投影单元处于吊装状态，并相对于投影显示面向左偏转或同时作向下和向左偏转时，所述基准顶点为当前投影画面的左上角顶点。 The method according to claim 4 or 5, wherein the reference vertex is the current projection when the projection unit is in a hoisting state and is deflected to the left with respect to the projection display or simultaneously deflected downward and to the left. The top left corner of the screen.
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