Method for establishing curved surface measurement datum point based on CAD surface type conversion method

Abstract

The invention provides a method for establishing a curved surface measurement reference point based on a CAD surface type conversion method, and the method comprises the steps: collecting side discrete points, curved surface discrete points and measurement reference points of a subreflector on the ground before the subreflector is installed, carrying out the matching with a theoretical mathematical model under a global coordinate system O-XYZ through the CAD surface type conversion method, and carrying out the iterative calculation. And acquiring coordinate values of the fixed measurement reference points at four corners of the sub-reflector under the global coordinate system O-XYZ as theoretical coordinate values. After the subreflector is installed, actually-measured coordinate values of the measurement datum points at the four corners of the subreflector are measured under the global coordinate system O-XYZ and compared with theoretical coordinate values of the actually-measured coordinate values, and the deviation value of the actually-measured coordinate values and the theoretical coordinate values is the measurement adjustment precision of the absolute position and posture of the subreflector in the three-dimensional space. The absolute position and attitude precision of the subreflector in the three-dimensional space is adjusted to be better than 1mm through multiple measurements, and the index requirement is met when the bifocus reflector multi-beam reflector antenna system receives the corresponding satellite electromagnetic wave level value.

Description

Technical Field

[0001] The invention relates to the field of installation, measurement and adjustment of industrial equipment, and in particular to a method for establishing curved surface measurement reference points based on a CAD surface conversion method. Background Art

[0002] With the rapid development of industrial technology and material science, the raw materials for the production of industrial equipment are no longer limited to metal materials. In particular, composite materials such as carbon fiber and glass fiber reinforced plastic are widely used in various industrial fields. In the field of antennas, more and more high-performance antenna reflectors are made of carbon fiber, or glass fiber reinforced plastic plus metal coating is selected based on weather resistance considerations.

[0003] During the installation and operation phase of the antenna equipment, the measurement and adjustment of the absolute spatial position and attitude of the sub-reflector requires the pre-processing of measurement reference points on the sub-reflector. However, composite materials do not have the good machinability of metal materials. The measurement reference points of sub-reflectors made of carbon fiber or other non-metallic materials are difficult to process and have high processing costs. In addition, for ultra-large aperture antennas, such as the QTT110m radio telescope, its sub-reflector is a 12m aperture "antenna" composed of multiple single panels. Therefore, it is difficult to pre-process measurement reference points for accurate measurement and adjustment of the sub-reflector. Summary of the invention

[0004] In order to solve the problem that it is difficult to pre-process measurement reference points for measuring and adjusting the three-dimensional absolute position and posture of the sub-reflector on a carbon fiber sub-reflector or a sub-reflector composed of multiple single panels, the present invention proposes a method for establishing surface measurement reference points based on a CAD surface conversion method. Based on the CAD surface conversion, after the sub-reflector is processed or spliced, the measurement reference points are established for measuring and adjusting the three-dimensional absolute position and posture of the sub-reflector, and the method has been successfully used in a dual-focus reflector multi-beam antenna project.

[0005] The basic principle of the present invention is:

[0006] Before the sub-reflector is installed, the laser tracker measurement system is used on the ground to collect discrete points on the side of the sub-reflector, discrete points on the curved surface, and measurement reference points. The CAD surface conversion method is used to match and iterate the corresponding theoretical mathematical model of the sub-reflector in the global coordinate system O-XYZ, and the coordinate values ​​of the plastic circular tooling (measurement reference points) fixed at the four corners of each sub-reflector in the global coordinate system O-XYZ are obtained, that is, the theoretical coordinate values ​​of the measurement reference points of the sub-reflector in the global coordinate system. After the sub-reflector is installed, the total station measurement system or laser tracker measurement system is used to measure the measured coordinate values ​​of the measurement reference points at the four corners of the sub-reflector in the global coordinate system O-XYZ, and compare them with their theoretical coordinate values. The deviation between the measured coordinate value and the theoretical coordinate value is the measurement adjustment accuracy of the absolute position and attitude of the sub-reflector in three-dimensional space. After multiple measurements and adjustments, the absolute position and attitude accuracy of the sub-reflector in three-dimensional space is better than 1 mm, and the index requirements are met when the dual-focus reflector multi-beam reflector antenna system receives the corresponding satellite electromagnetic wave level value.

[0007] The technical solution of the present invention is:

[0008] A method for establishing a curved surface measurement reference point based on a CAD surface conversion method comprises the following steps:

[0009] Step 1: For a certain sub-reflector of the antenna system, three sets of discrete point sets are measured on the ground using an industrial measurement system. The three sets of discrete point sets are the side discrete point set on the side of the sub-reflector, the curved surface discrete point set on the front of the sub-reflector, and the measurement reference point set arranged at the four corners of the front of the sub-reflector;

[0010] Step 2: In the 3D space analysis software, import the theoretical mathematical model of the sub-reflector in the global coordinate system, and import the side discrete point set, surface discrete point set and measurement reference point set obtained in step 1 into the 3D space analysis software, and obtain the coordinate values ​​of the measurement reference points in the global coordinate system O-XYZ based on the CAD surface conversion method:

[0011] Step 2.1: In the three-dimensional space analysis software, import the sub-reflector theoretical mathematical model in the global coordinate system;

[0012] Step 2.2: Import the side discrete point set, surface discrete point set and measurement reference point set obtained in step 1 into the three-dimensional space analysis software;

[0013] Step 2.3: Rotate and move the side discrete point set, the surface discrete point set and the measurement reference point set so that the side discrete point set, the surface discrete point set and the measurement reference point set are roughly aligned with the corresponding side and front of the sub-reflector theoretical mathematical model;

[0014] Step 2.4: Select the side discrete point set, perform matching calculation with the sub-reflector theoretical mathematical model, obtain the conversion matrix between the side discrete point set and the sub-reflector theoretical mathematical model, and convert the side discrete point set. In this process, the surface discrete point set and the measurement reference point set do not participate in the matching calculation, but are converted according to the conversion matrix obtained by the calculation result of the side discrete point set;

[0015] Step 2.5: Select a surface discrete point set, perform matching calculation with the sub-reflector theoretical mathematical model, obtain the conversion matrix between the surface discrete point set and the sub-reflector theoretical mathematical model, and convert the surface discrete point set. In this process, the measurement reference point set does not participate in the matching calculation, but is further converted according to the conversion matrix obtained by the calculation result of the surface discrete point set to obtain the coordinate value of the measurement reference point in the global coordinate system O-XYZ;

[0016] Step 3: The coordinate value of the measurement reference point in the global coordinate system O-XYZ obtained in step 2 is used as the theoretical reference value of the three-dimensional space absolute position and posture of the sub-reflector in the industrial equipment system; after the sub-reflector is actually installed, the industrial measurement system is used to measure the actual coordinate value of the measurement reference point on the sub-reflector in the global coordinate system O-XYZ, and the actual coordinate value is compared and adjusted with the theoretical reference value to make the actual position and posture of the sub-reflector approach the theoretical three-dimensional space absolute position and posture.

[0017] Furthermore, the industrial measurement system adopts a digital industrial photogrammetry system, a three-coordinate measurement system, a laser tracker measurement system or a three-dimensional scanner measurement system.

[0018] Furthermore, the measurement reference points are fixed at the four corners of the front side of the secondary reflector in a non-destructive manner.

[0019] Furthermore, the three-dimensional spatial analysis software uses Spatial Analyzer. In the Spatial Analyzer software, an SA project is created, and a sub-reflector theoretical mathematical model in a global coordinate system, as well as a side discrete point set, a surface discrete point set, and a measurement reference point set are imported.

[0020] Furthermore, in steps 2.4 and 2.5, the "relationship matching - point to object - moving objects by minimizing relationships" command is applied in the SA software to select the corresponding side discrete point set or surface discrete point set and the sub-reflector theoretical mathematical model for matching calculation.

[0021] Beneficial Effects

[0022] The method for establishing a curved surface measurement reference point based on the CAD surface conversion method proposed in the present invention effectively provides a method for avoiding the need for pre-processing measurement reference points when processing curved surfaces using composite materials such as carbon fiber and glass fiber reinforced plastics, and also effectively solves the problem of curved surface measurement reference points during installation, measurement, and adjustment, thereby reducing the difficulty of processing and manufacturing and reducing the cost of processing and manufacturing. At the same time, an effective solution is provided for the fixed measurement reference points required for measuring and adjusting the absolute position and posture of a curved surface in three-dimensional space formed by splicing multiple single curved surfaces.

[0023] Additional aspects and advantages of the present invention will be given in part in the following description and in part will be obvious from the following description, or will be learned through practice of the present invention. BRIEF DESCRIPTION OF THE DRAWINGS

[0024] The above and / or additional aspects and advantages of the present invention will become apparent and easily understood from the description of the embodiments in conjunction with the following drawings, in which:

[0025] Figure 1 : Schematic diagram of the absolute position and posture of the surface in three-dimensional space;

[0026] Figure 2 : Schematic diagram of the steps for obtaining the theoretical coordinate values ​​of the global coordinate system of the surface measurement reference point;

[0027] Figure 3 : Schematic diagram of the distribution of surface discrete points and measurement reference points;

[0028] Figure 4 : Schematic diagram of dual-focus reflector multi-beam antenna;

[0029] Figure 5 : Schematic diagram of the laser tracker measurement system collecting discrete points on the sub-reflector surface and measuring reference points on the ground;

[0030] Figure 6 : Schematic diagram of the measurement reference points distribution of the secondary reflector and the circular tooling made of plastic;

[0031] Figure 7 : Schematic diagram of the theoretical mathematical model of the sub-reflector in the global coordinate system imported into the SA project in the three-dimensional spatial analysis software Spatial Analyzer;

[0032] Figure 8 :SA project imports the collected sub-reflector boundary point set, surface discrete point set, and measurement reference point set schematic diagram;

[0033] Fig. 9 : Manually move and rotate the discrete point set and the measurement reference point set to roughly align the theoretical mathematical model, and use the boundary discrete point set of the secondary reflector and the theoretical mathematical model to perform the first CAD surface shape conversion result diagram;

[0034] Fig.10 : Schematic diagram of the matching calculation results of the CAD surface transformation method between the surface discrete point set of the sub-reflector and the theoretical mathematical model of the sub-reflector and the theoretical coordinate value of the global coordinate system of the sub-reflector measurement reference point;

[0035] Fig.11 : Schematic diagram of the actual coordinate values ​​of the sub-reflector measurement reference point in the global coordinate system when the theoretical coordinate values ​​of the global coordinate system are measured by the total station measurement system;

[0036] Fig.12 : Schematic diagram of the results of the absolute position and attitude of the sub-reflector in three-dimensional space after multiple measurements and adjustments;

[0037] Fig.13 : Schematic diagram of the electromagnetic wave level of the receiving satellite after adjustment for the satellite alignment test. DETAILED DESCRIPTION

[0038] Embodiments of the present invention are described in detail below. The embodiments are exemplary and intended to be used to explain the present invention, but should not be construed as limiting the present invention.

[0039] In the description of the present invention, it should be understood that the terms "center", "longitudinal", "lateral", "length", "width", "thickness", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inside", "outside", "clockwise", "counterclockwise" and the like indicate orientations or positional relationships based on the orientations or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the referred device or element must have a specific orientation, be constructed and operated in a specific orientation, and therefore should not be understood as limiting the present invention.

[0040] In addition, the terms "first" and "second" are used for descriptive purposes only and should not be understood as indicating or implying relative importance or implicitly indicating the number of the indicated technical features. Therefore, a feature defined as "first" or "second" may explicitly or implicitly include one or more of the features. In the description of the present invention, the meaning of "plurality" is two or more, unless otherwise clearly and specifically defined.

[0041] This embodiment measures and adjusts the three-dimensional absolute position and posture of the sub-reflector of a dual-focus reflector multi-beam antenna system during the installation phase.

[0042] A dual-focus reflector multi-beam antenna system consists of a set of antenna main reflectors and 8 sets of feeding systems. The main beam of the antenna main reflector is fixed and unique. Each feeding system contains a set of feed source and a set of sub-reflectors installed on the test bench. Figure 4 As shown. In order to ensure that the antenna system meets the requirements for the level of satellite electromagnetic waves received, it is necessary to accurately measure and adjust the three-dimensional spatial position and attitude of the eight sets of sub-reflectors in the global coordinate system O-XYZ. Therefore, a "measurement reference point" should be reserved on the sub-reflector before installation. The sub-reflector of the antenna system is made of carbon fiber, and it is not easy to pre-process measurement holes as measurement reference points during the processing stage. To this end, this embodiment adopts a method of establishing a curved surface measurement reference point based on the CAD surface conversion method to achieve the measurement and adjustment of the three-dimensional spatial absolute position and attitude of the sub-reflector. The main idea is:

[0043] The CAD surface conversion was performed on the ground for 8 sets of sub-reflectors of a dual-focus reflector multi-beam antenna system to obtain the coordinate values ​​of the measurement reference points in the global coordinate system O-XYZ. Then, the sub-reflector was installed on the feed system bracket of the test tower, and the actual coordinate values ​​of the sub-reflector measurement reference points in the global coordinate system O-XYZ were measured using the total station measurement system, and compared with the theoretical coordinate values ​​of the measurement reference points obtained by the CAD surface conversion method. After multiple measurements and adjustments, the absolute position and attitude accuracy of the sub-reflector in three-dimensional space was better than 1.5 mm, meeting the index requirements when the dual-focus reflector multi-beam reflector antenna system received the corresponding satellite electromagnetic wave level value.

[0044] The specific steps include:

[0045] Step 1: For a certain sub-reflector, three groups of discrete point sets are measured on the ground using an industrial measurement system. The three groups of discrete point sets are the side discrete point set on the side of the sub-reflector, the surface discrete point set on the front of the sub-reflector, and the measurement reference point set arranged at the four corners of the front of the sub-reflector.

[0046] During measurement, industrial measurement systems such as digital industrial photogrammetry system, three-dimensional coordinate measurement system, laser tracker measurement system, and three-dimensional scanner measurement system can be used. In this embodiment, the side discrete point set is collected at a spacing of 100 mm in the arc length direction; the surface discrete point set is collected in the form of "row × column", with a row and column spacing of 100 mm; a plastic circular tooling is fixed to the four corners of the front side of the secondary reflector by non-destructive means such as gluing as a measurement reference point, such as Figure 3 , Figure 5 and Figure 6 Here, when the plastic circular tooling is attached to the front side of the secondary reflector, it only needs to be roughly at the four corners, and there is no need for precise positioning, so there is no need for precise processing.

[0047] Step 2: In the three-dimensional space analysis software, import the theoretical mathematical model of the sub-reflector in the global coordinate system, and import the side discrete point set, surface discrete point set and measurement reference point set obtained in step 1 into the three-dimensional space analysis software, and obtain the coordinate values ​​of the measurement reference points in the global coordinate system O-XYZ based on the CAD surface conversion method.

[0048] The CAD surface conversion method directly converts the measured discrete points with the theoretical CAD surface. Its essence is "surface fitting with boundary conditions". The conversion principle is: the initial value of the coordinate conversion is determined by manually adjusting the CAD surface and the measured data to make them roughly coincide, and the approximate coordinate conversion parameters are determined. Then the three-dimensional space analysis software program performs fitting calculations based on the approximate coordinate conversion parameters and the least squares principle until the sum of the squares of all discrete points from the theoretical mathematical model of the surface is minimized. At this time, the normal deviation of the measured surface relative to the CAD surface can be obtained, and the coordinate value of the measurement reference point in the global coordinate system of the theoretical mathematical model of the surface can also be obtained.

[0049] The specific process of step 2 is:

[0050] Step 2.1: In the three-dimensional spatial analysis software, import the sub-reflector theoretical mathematical model in the global coordinate system; In this embodiment, the three-dimensional spatial analysis software Spatial Analyzer is used to create a new SA project and import the sub-reflector theoretical mathematical model in the global coordinate system. At this time, the SA project coordinate system is the global coordinate system, such as Figure 7 shown.

[0051] Step 2.2: Import the side discrete point set, surface discrete point set and measurement reference point set obtained in step 1 into the SA project.

[0052] Step 2.3: In the SA project, manually rotate and move the side discrete point set, the surface discrete point set and the measurement reference point set so that the side discrete point set, the surface discrete point set and the measurement reference point set are roughly aligned with the corresponding side and front sides of the sub-reflector theoretical mathematical model.

[0053] like Figure 8 As shown, the collected side discrete point sets, surface discrete point sets and measurement reference point sets are imported into the SA project that has loaded the theoretical mathematical model of the sub-reflector. Since the coordinate system in the SA project is the global coordinate system, and the coordinate system of the side discrete point sets, surface discrete point sets and measurement reference point sets collected by the laser tracker (industrial measurement system) is the default global coordinate system in the SA project, the imported side discrete point sets, surface discrete point sets and measurement reference point sets deviate from the theoretical mathematical model of the sub-reflector. Manual rotation, movement and CAD surface conversion are required to roughly align the side discrete point sets, surface discrete point sets and measurement reference point sets with the theoretical mathematical model of the sub-reflector.

[0054] Step 2.4: Select the side discrete point set, perform matching calculation with the sub-reflector theoretical mathematical model, obtain the conversion matrix between the side discrete point set and the sub-reflector theoretical mathematical model, and convert the side discrete point set. In this process, the surface discrete point set and the measurement reference point set do not participate in the matching calculation, but are converted according to the conversion matrix obtained by the calculation result of the side discrete point set. Specifically in this embodiment, the "Relationship Matching-Point to Object-Minimize Moving Objects by Relationship" command is applied in the SA software to select the side discrete point set and the sub-reflector theoretical mathematical model for matching calculation.

[0055] like Fig. 9 As shown, after manually moving and rotating the side discrete point set, the surface discrete point set and the measurement reference point set to align with the theoretical mathematical model of the sub-reflector, the side discrete point set and the theoretical mathematical model of the sub-reflector are used to perform the first CAD surface conversion. After calculation and conversion, the side discrete point set, the surface discrete point set and the measurement reference point set basically fit the theoretical mathematical model. However, due to the relatively low processing accuracy of the side boundary of the sub-reflector, the calculation results are not sufficient to obtain the theoretical coordinate values ​​of the measurement reference points in the global coordinate system.

[0056] Step 2.5: Select the surface discrete point set, perform matching calculation with the sub-reflector theoretical mathematical model, obtain the conversion matrix between the surface discrete point set and the sub-reflector theoretical mathematical model, and convert the surface discrete point set. In this process, the measurement reference point set does not participate in the matching calculation, but is further converted according to the conversion matrix obtained from the calculation result of the surface discrete point set. Specifically in this embodiment, the "Relationship Matching—Point to Object—Minimize Moving Objects by Relationship" command is also applied in the SA software to select the surface discrete point set and the sub-reflector theoretical mathematical model for matching calculation. At this time, the point position accuracy of the surface discrete point set relative to the sub-reflector theoretical mathematical model is the highest, and at this time it is the global coordinate system O-XYZ, and the coordinate value of the measurement reference point in the global coordinate system O-XYZ can be obtained.

[0057] like Fig.10 As shown, the CAD surface conversion method matching calculation is performed using the surface discrete point set and the theoretical mathematical model of the sub-reflector. After iterative calculation, the calculation is stopped until the sum of the squares of the surface discrete point set from the surface theoretical mathematical model is minimized. At this time, the normal deviation of the measured surface relative to the CAD surface can be obtained, and the high-precision coordinate value of the measurement reference point in the CAD surface global coordinate system can also be obtained, which can be used as the theoretical coordinate value for the measurement and adjustment of the absolute position and posture of the sub-reflector in three-dimensional space.

[0058] Step 3: The coordinate value of the measurement reference point in the global coordinate system O-XYZ obtained in step 2 is used as the theoretical reference value of the three-dimensional space absolute position and posture of the sub-reflector in the industrial equipment system; after the sub-reflector is actually installed, the industrial measurement system is used to measure the actual coordinate value of the measurement reference point on the sub-reflector in the global coordinate system O-XYZ, and the actual coordinate value is compared and adjusted with the theoretical reference value to make the actual position and posture of the sub-reflector approach the theoretical three-dimensional space absolute position and posture.

[0059] like Figure 11-12 As shown, after the sub-reflector is installed on the feeding system bracket, taking sub-reflector No. 1 as an example, the total station measurement system is used to measure the actual coordinate value of the sub-reflector measurement reference point with a known theoretical coordinate value in the global coordinate system in the global coordinate system, and compare it with the theoretical coordinate value. After multiple measurements and adjustments, the absolute position and attitude accuracy of the sub-reflector in three-dimensional space is better than 1.5 mm.

[0060] like Fig.13 As shown, taking sub-reflector No. 1 as an example, based on the main reflector that has completed the main beam pointing and surface accuracy measurement and adjustment, after completing the three-dimensional space absolute position and attitude measurement and adjustment of the sub-reflector, a satellite alignment test is carried out, and the received satellite electromagnetic wave level value meets the index requirements.

[0061] Although the embodiments of the present invention have been shown and described above, it is to be understood that the above embodiments are exemplary and are not to be construed as limitations on the present invention. A person skilled in the art may change, modify, replace and modify the above embodiments within the scope of the present invention without departing from the principles and intent of the present invention.

Claims

1. A method for establishing a curved surface measurement reference point based on a CAD surface conversion method, characterized in that: The following steps are involved: Step 1: For a certain sub-reflector of the antenna system, three sets of discrete point sets are measured on the ground using an industrial measurement system. The three sets of discrete point sets are the side discrete point set on the side of the sub-reflector, the curved surface discrete point set on the front of the sub-reflector, and the measurement reference point set arranged at the four corners of the front of the sub-reflector; Step 2: In the 3D space analysis software, import the theoretical mathematical model of the sub-reflector in the global coordinate system, and import the side discrete point set, surface discrete point set and measurement reference point set obtained in step 1 into the 3D space analysis software, and obtain the coordinate values ​​of the measurement reference points in the global coordinate system O-XYZ based on the CAD surface conversion method: Step 2.1: In the three-dimensional space analysis software, import the sub-reflector theoretical mathematical model in the global coordinate system; Step 2.2: Import the side discrete point set, surface discrete point set and measurement reference point set obtained in step 1 into the three-dimensional space analysis software; Step 2.3: Rotate and move the side discrete point set, the surface discrete point set and the measurement reference point set so that the side discrete point set, the surface discrete point set and the measurement reference point set are roughly aligned with the corresponding side and front of the sub-reflector theoretical mathematical model; Step 2.4: Select the side discrete point set, perform matching calculation with the sub-reflector theoretical mathematical model, obtain the conversion matrix between the side discrete point set and the sub-reflector theoretical mathematical model, and convert the side discrete point set. In this process, the surface discrete point set and the measurement reference point set do not participate in the matching calculation, but are converted according to the conversion matrix obtained by the calculation result of the side discrete point set; Step 2.5: Select a surface discrete point set, perform matching calculation with the sub-reflector theoretical mathematical model, obtain the conversion matrix between the surface discrete point set and the sub-reflector theoretical mathematical model, and convert the surface discrete point set. In this process, the measurement reference point set does not participate in the matching calculation, but is further converted according to the conversion matrix obtained by the calculation result of the surface discrete point set to obtain the coordinate value of the measurement reference point in the global coordinate system O-XYZ; Step 3: The coordinate value of the measurement reference point in the global coordinate system O-XYZ obtained in step 2 is used as the theoretical reference value of the three-dimensional space absolute position and posture of the sub-reflector in the industrial equipment system; after the sub-reflector is actually installed, the industrial measurement system is used to measure the actual coordinate value of the measurement reference point on the sub-reflector in the global coordinate system O-XYZ, and the actual coordinate value is compared and adjusted with the theoretical reference value to make the actual position and posture of the sub-reflector approach the theoretical three-dimensional space absolute position and posture.

2. The method for establishing a curved surface measurement reference point based on a CAD surface conversion method according to claim 1, characterized in that: The industrial measurement system adopts a digital industrial photography measurement system, a three-coordinate measurement system, a laser tracker measurement system or a three-dimensional scanner measurement system.

3. The method for establishing curved surface measurement reference points based on CAD surface conversion method according to claim 1, characterized in that: The measurement reference points are fixed at the four corners of the front side of the secondary reflector in a non-destructive manner.

4. The method for establishing curved surface measurement reference points based on CAD surface conversion method according to claim 1, characterized in that: The three-dimensional spatial analysis software adopts Spatial Analyzer. In the Spatial Analyzer software, an SA project is created, and a sub-reflector theoretical mathematical model in a global coordinate system, as well as a side discrete point set, a surface discrete point set, and a measurement reference point set are imported.

5. The method for establishing curved surface measurement reference points based on CAD surface conversion method according to claim 4, characterized in that: In steps 2.4 and 2.5, the "Relationship Matching—Point to Object—Minimize Moving Objects by Relationship" command is applied in the SA software to select the corresponding side discrete point set or surface discrete point set and the sub-reflector theoretical mathematical model for matching calculation.

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