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CN106217455B - A kind of method of determining diamond wedge knife mechanical scratching setting angle parameter - Google Patents

A kind of method of determining diamond wedge knife mechanical scratching setting angle parameter Download PDF

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CN106217455B
CN106217455B CN201610548386.9A CN201610548386A CN106217455B CN 106217455 B CN106217455 B CN 106217455B CN 201610548386 A CN201610548386 A CN 201610548386A CN 106217455 B CN106217455 B CN 106217455B
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knife
matrix
point
coordinate system
setting angle
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CN106217455A (en
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石广丰
史国权
杨超
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Changchun University of Science and Technology
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Changchun University of Science and Technology
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B26HAND CUTTING TOOLS; CUTTING; SEVERING
    • B26DCUTTING; DETAILS COMMON TO MACHINES FOR PERFORATING, PUNCHING, CUTTING-OUT, STAMPING-OUT OR SEVERING
    • B26D3/00Cutting work characterised by the nature of the cut made; Apparatus therefor
    • B26D3/08Making a superficial cut in the surface of the work without removal of material, e.g. scoring, incising
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B26HAND CUTTING TOOLS; CUTTING; SEVERING
    • B26DCUTTING; DETAILS COMMON TO MACHINES FOR PERFORATING, PUNCHING, CUTTING-OUT, STAMPING-OUT OR SEVERING
    • B26D7/00Details of apparatus for cutting, cutting-out, stamping-out, punching, perforating, or severing by means other than cutting
    • B26D7/26Means for mounting or adjusting the cutting member; Means for adjusting the stroke of the cutting member
    • B26D7/2628Means for adjusting the position of the cutting member

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  • Life Sciences & Earth Sciences (AREA)
  • Forests & Forestry (AREA)
  • Engineering & Computer Science (AREA)
  • Mechanical Engineering (AREA)
  • Processing Of Stones Or Stones Resemblance Materials (AREA)
  • Length Measuring Devices By Optical Means (AREA)

Abstract

本发明公开了一种确定金刚石尖劈刀机械刻划安装角度参数的方法,该方法的步骤是:S1、建立金刚石尖劈刀刀尖的刀具坐标系XYZ‑O;S2、金刚石尖劈刀刀尖处的三条刃表示为刀刃的单位向量矩阵[A];S3、建立刻划坐标系X’Y’Z’‑O,将刻划坐标系X’Y’Z’‑O看成是刀具坐标系XYZ‑O通过调节刻刀安装角度矩阵[B];S4、在刻划坐标系X’Y’Z’‑O内,经投影变换矩阵[C],将金刚石尖劈刀刀尖的三条刃向X’Y’‑O平面投影,得到投影后的刀刃投影向量矩阵[D],上述矩阵[A]、矩阵[B]、矩阵[C]、矩阵[D]存在下述关系:[A][B][C]=[D];S5、设置过渡矩阵[E]=[B][C],则有[E]=[A]‑1[D],求解获得作为过渡矩阵[E]中未知量的刀尖安装角度参数。

The invention discloses a method for determining the installation angle parameters of a diamond beveling knife for mechanical scoring. The steps of the method are: S1. Establishing the tool coordinate system XYZ‑O of the tip of the diamond beveling knife; S2. The diamond beveling knife The three edges at the tip are expressed as the unit vector matrix [A] of the blade; S3, establish the marking coordinate system X'Y'Z'‑O, and regard the marking coordinate system X'Y'Z'‑O as the tool coordinates System XYZ-O by adjusting the installation angle matrix [B] of the carving knife; S4. In the marking coordinate system X'Y'Z'-O, through the projection transformation matrix [C], the three edges of the diamond sharp knife tip Project to the X'Y'‑O plane to obtain the projected blade projection vector matrix [D]. The above matrix [A], matrix [B], matrix [C], and matrix [D] have the following relationship: [A] [B][C]=[D]; S5, set transition matrix [E]=[B][C], then have [E]=[A] -1 [D], obtain as transition matrix [E] The unknown tool nose installation angle parameter in .

Description

一种确定金刚石尖劈刀机械刻划安装角度参数的方法A Method for Determining the Installation Angle Parameters of Diamond Bevel Knife Mechanical Scribing

技术领域technical field

本发明涉及机械刻划技术领域,具体地说涉及一种确定金刚石尖劈刀机械刻划安装角度参数的方法。The invention relates to the technical field of mechanical scribing, in particular to a method for determining the installation angle parameter of a diamond bevel knife mechanical scribing.

背景技术Background technique

目前,采用金刚石尖劈刀(刀尖为三棱锥形)进行衍射光栅机械刻划之前,需要首先通过可调刀架对金刚石刀具的安装角度(方位角、俯仰角、横滚角)进行调整,以满足刻划光栅槽形的几何形状要求。At present, before using a diamond beveling knife (the tip of which is a triangular pyramid) to mechanically scribe the diffraction grating, it is necessary to first adjust the installation angle (azimuth angle, pitch angle, roll angle) of the diamond tool through an adjustable tool holder. To meet the geometrical requirements of the groove shape of the grating.

但受制于现有的弹性配重式刀架工艺,安装角度参数很难做到准确量化调整或监控,导致调整后的安装角度具体参数和目标值产生一定的偏差,而且初始基准也很难确定。这对于追求高精度的光栅机械刻划工艺来说显然是不够的。However, due to the existing elastic counterweight tool holder technology, it is difficult to accurately quantify or monitor the installation angle parameters, resulting in a certain deviation between the adjusted installation angle specific parameters and the target value, and it is also difficult to determine the initial benchmark . This is obviously not enough for the pursuit of high-precision grating mechanical scribing process.

现有的方法是采用试错的方法反复检测光栅毛坯上的试刻槽形,并与目标槽形进行对比来确定安装角度参数的最终选取是否正确。但即使所刻槽形正确,也很难得知所对应的安装角度参数是多少,而且这样操作既浪费大量时间和成本,也显得很不科学。The existing method is to use trial and error to repeatedly detect the groove shape of the trial engraving on the grating blank, and compare it with the target groove shape to determine whether the final selection of the installation angle parameter is correct. But even if the engraved groove shape is correct, it is difficult to know the corresponding installation angle parameter, and this operation will waste a lot of time and cost, and it is very unscientific.

发明内容Contents of the invention

本发明的目的在于针对上述现有技术的缺陷,提供一种确定金刚石尖劈刀机械刻划安装角度参数的方法,通过刀尖两次印压并检测压痕几何参量,再通过相关计算,获得金刚石金刚石尖劈刀机械刻划时安装角度参数的方法。该方法操作简单、快捷、有效,可以量化得知安装角度的具体参数,便于刻划工艺的反馈研究。The purpose of the present invention is to address the defects of the above-mentioned prior art, to provide a method for determining the installation angle parameter of the mechanical scoring of the diamond beveling knife, by printing twice at the tip of the knife and detecting the geometric parameters of the indentation, and then through correlation calculation, to obtain The method of installing the angle parameter when the diamond beveling knife is mechanically scribed. The method is simple, fast and effective, and can quantify the specific parameters of the installation angle, which is convenient for the feedback research of the scribing process.

为了实现上述目的,本发明的技术方案是:In order to achieve the above object, technical scheme of the present invention is:

一种确定金刚石尖劈刀机械刻划安装角度参数的方法,该方法的步骤是:S1、首先建立金刚石尖劈刀刀尖的刀具坐标系XYZ-O,刻划主刃所在直线为X轴,坐标原点O在刀尖点,尖劈刀定向角的基准方向为Y轴,通过螺旋右手定则确定Z轴;A method for determining the installation angle parameters of a diamond beveling knife for mechanical marking, the steps of the method are: S1, first establishing the tool coordinate system XYZ-O of the tip of the diamond beveling knife, and marking the straight line where the main edge is located is the X axis, The coordinate origin O is at the tip of the knife, the reference direction of the orientation angle of the wedge knife is the Y axis, and the Z axis is determined by the spiral right-hand rule;

S2、金刚石尖劈刀刀尖处的三条刃通过直线向量的形式给出,并表示为刀刃的单位向量矩阵[A];S2. The three blades at the tip of the diamond beveling knife are given in the form of straight line vectors, and expressed as the unit vector matrix [A] of the blade;

S3、建立刻划坐标系X’Y’Z’-O,坐标系原点依然为刀尖点;X’Y’-O所确定的平面即为刻划的工作表面(光栅毛坯表面);将刻划坐标系X’Y’Z’-O看成是刀具坐标系XYZ-O通过调节尖劈刀安装角度矩阵[B],通过坐标转换获得的;S3, set up the marking coordinate system X'Y'Z'-O, the origin of the coordinate system is still the tool point; the plane determined by X'Y'-O is the working surface (grating blank surface) of marking; The coordinate system X'Y'Z'-O is regarded as the tool coordinate system XYZ-O obtained through coordinate conversion by adjusting the angle matrix [B] of the sharp knife installation;

S4、主刃在X’Y’-O平面内的投影与X’轴的夹角为尖劈刀调整后的方位角;主刃在X’Z’-O平面的投影与X’轴的夹角为俯仰角,XZ-O平面与X’Z’-O平面之间的夹角为横滚角。S4. The angle between the projection of the main edge on the X'Y'-O plane and the X' axis is the adjusted azimuth angle of the sharp knife; the angle between the projection of the main edge on the X'Z'-O plane and the X' axis The angle is the pitch angle, and the included angle between the XZ-O plane and the X'Z'-O plane is the roll angle.

S5、在刻划坐标系X’Y’Z’-O内,经投影变换矩阵[C],将金刚石尖劈刀刀尖的三条刃向X’Y’-O平面投影,所得刀刃投影线单位长度分别向X’轴和Y’轴投影,得到投影后的刀刃投影向量矩阵[D],上述矩阵[A]、矩阵[B]、矩阵[C]、矩阵[D]存在下述关系:[A][B][C]=[D];S5. In the marking coordinate system X'Y'Z'-O, project the three blades of the tip of the diamond chopper to the X'Y'-O plane through the projection transformation matrix [C], and the obtained blade projection line unit The lengths are respectively projected to the X' axis and the Y' axis to obtain the projected blade projection vector matrix [D]. The above matrix [A], matrix [B], matrix [C], and matrix [D] have the following relationship: [ A][B][C]=[D];

S6、设置过渡矩阵[E]=[B][C],则有[E]=[A]-1[D],求解该矩阵即可获得作为过渡矩阵[E]中未知量的刀尖安装角度参数。S6, set transition matrix [E]=[B][C], then have [E]=[A]-1[D], solve this matrix and can obtain as the tool nose installation of unknown quantity in transition matrix [E] angle parameter.

作为对上述技术方案的改进,所述金刚石尖劈刀的刀尖处的三条刃为一条主刃,两条附刃。As an improvement to the above technical solution, the three edges at the tip of the diamond beveling knife are one main edge and two auxiliary edges.

作为对上述技术方案的改进,在步骤1中,当金刚石尖劈刀制作出来后,刀具的几何参数是固定已知的或可测的,即刀刃的单位向量矩阵[A]是已知的。As an improvement to the above technical solution, in step 1, after the diamond beveling knife is produced, the geometric parameters of the knife are known or measurable, that is, the unit vector matrix [A] of the blade is known.

作为对上述技术方案的改进,在步骤5中,刀刃投影向量矩阵[D]可以通过刀尖向光栅毛坯压痕后的垂直二维检测图像测量给出。As an improvement to the above technical solution, in step 5, the knife edge projection vector matrix [D] can be given by measuring the vertical two-dimensional detection image after the knife tip indents the grating blank.

作为对上述技术方案的改进,测量刀尖向光栅毛坯压痕后的垂直二维检测图像的工具为可测量光学显微镜或扫描电子显微镜。As an improvement to the above technical solution, the tool for measuring the vertical two-dimensional detection image after the tool tip indents the grating blank is a measurable optical microscope or a scanning electron microscope.

作为对上述技术方案的改进,刀尖向光栅毛坯压痕后的垂直二维检测图像,通过两次印压(沿刻划方向印压间距为L),可获得印压刃口与刻划方向或刻划坐标系之间的关系,方便求出刻划平面X’Y’-O内的投影向量矩阵[D]。As an improvement to the above-mentioned technical solution, the vertical two-dimensional detection image after the knife tip indents the grating blank can be obtained by printing twice (the distance between the printing and marking along the marking direction is L), and the marking edge and marking direction can be obtained. Or describe the relationship between the coordinate systems, conveniently find the projection vector matrix [D] in the described plane X'Y'-O.

作为对上述技术方案的改进,当刀尖安装角度调整后,通过已知的刀刃的单位向量矩阵[A]向刻划平面内的投影关系是一定的,对应的投影变换矩阵[C]是包含安装角度参数的矩阵。As an improvement to the above-mentioned technical solution, when the installation angle of the blade tip is adjusted, the projection relationship of the known blade unit vector matrix [A] to the marking plane is certain, and the corresponding projection transformation matrix [C] contains Matrix of mounting angle parameters.

与现有技术相比,本发明具有的优点和积极效果是:Compared with prior art, the advantages and positive effects that the present invention has are:

本发明的确定金刚石尖劈刀机械刻划安装角度参数的方法,通过刀尖两次印压并检测压痕几何参量,再通过相关计算,获得金刚石金刚石尖劈刀机械刻划时安装角度参数的方法。该方法操作简单、快捷、有效,可以量化得知安装角度的具体参数,便于刻划工艺的反馈研究。The method for determining the installation angle parameter of the mechanical scribing of the diamond beveling knife of the present invention is to obtain the installation angle parameter of the mechanical scribing of the diamond beveling knife by two stampings of the tip of the knife and detection of the geometric parameters of the indentation, and then through correlation calculations. method. The method is simple, fast and effective, and can quantify the specific parameters of the installation angle, which is convenient for the feedback research of the scribing process.

附图说明Description of drawings

图1为金刚石尖劈刀刀尖的三条刃向X’Y’-O平面投影后得到投影后的刀刃投影向量矩阵[D]的示意图;Fig. 1 obtains the schematic diagram of the projected blade projection vector matrix [D] after three blades of the diamond beveling knife point are projected to the X'Y'-O plane;

图2为印压刃口与刻划方向或刻划坐标系之间的关系示意图。FIG. 2 is a schematic diagram of the relationship between the embossing edge and the marking direction or marking coordinate system.

具体实施方式Detailed ways

下面结合附图和具体实施方式对本发明技术作进一步详细说明。如图1、2所示,本发明的确定金刚石尖劈刀机械刻划安装角度参数的方法,该方法的步骤是:The technology of the present invention will be further described in detail below in conjunction with the accompanying drawings and specific embodiments. As shown in Figures 1 and 2, the method for determining the mechanical marking installation angle parameter of the diamond beaker of the present invention, the steps of the method are:

S1、首先建立金刚石尖劈刀刀尖的刀具坐标系XYZ-O,刻划主刃所在直线为X轴,坐标原点O在刀尖点,尖劈刀定向角的基准方向为Y轴,通过螺旋右手定则确定Z轴;S1. First establish the tool coordinate system XYZ-O of the tip of the diamond beveling knife. The straight line marking the main edge is the X axis, the coordinate origin O is at the tip of the knife, and the reference direction of the directional angle of the beveling knife is the Y axis. Through the spiral The right hand rule determines the Z axis;

S2、金刚石尖劈刀刀尖处的三条刃通过直线向量的形式给出,并表示为刀刃的单位向量矩阵[A];S2. The three blades at the tip of the diamond beveling knife are given in the form of straight line vectors, and expressed as the unit vector matrix [A] of the blade;

S3、建立刻划坐标系X’Y’Z’-O,坐标系原点依然为刀尖点;X’Y’-O所确定的平面即为刻划的工作表面(光栅毛坯表面);将刻划坐标系X’Y’Z’-O看成是刀具坐标系XYZ-O通过调节尖劈刀安装角度矩阵[B],通过坐标转换获得的;S3, set up the marking coordinate system X'Y'Z'-O, the origin of the coordinate system is still the tool point; the plane determined by X'Y'-O is the working surface (grating blank surface) of marking; The coordinate system X'Y'Z'-O is regarded as the tool coordinate system XYZ-O obtained through coordinate conversion by adjusting the angle matrix [B] of the sharp knife installation;

S4、主刃在X’Y’-O平面内的投影与X’轴的夹角为尖劈刀调整后的方位角;主刃在X’Z’-O平面的投影与X’轴的夹角为俯仰角,XZ-O平面与X’Z’-O平面之间的夹角为横滚角。S4. The angle between the projection of the main edge on the X'Y'-O plane and the X' axis is the adjusted azimuth angle of the sharp knife; the angle between the projection of the main edge on the X'Z'-O plane and the X' axis The angle is the pitch angle, and the included angle between the XZ-O plane and the X'Z'-O plane is the roll angle.

S5、在刻划坐标系X’Y’Z’-O内,经投影变换矩阵[C],将金刚石尖劈刀刀尖的三条刃向X’Y’-O平面投影,所得刀刃投影线单位长度分别向X’轴和Y’轴投影,得到投影后的刀刃投影向量矩阵[D],上述矩阵[A]、矩阵[B]、矩阵[C]、矩阵[D]存在下述关系:[A][B][C]=[D];S5. In the marking coordinate system X'Y'Z'-O, project the three blades of the tip of the diamond chopper to the X'Y'-O plane through the projection transformation matrix [C], and the obtained blade projection line unit The lengths are respectively projected to the X' axis and the Y' axis to obtain the projected blade projection vector matrix [D]. The above matrix [A], matrix [B], matrix [C], and matrix [D] have the following relationship: [ A][B][C]=[D];

S6、设置过渡矩阵[E]=[B][C],则有[E]=[A]-1[D],求解该矩阵即可获得作为过渡矩阵[E]中未知量的刀尖安装角度参数。S6, set transition matrix [E]=[B][C], then have [E]=[A]-1[D], solve this matrix and can obtain as the tool nose installation of unknown quantity in transition matrix [E] angle parameter.

作为对上述技术方案的改进,所述金刚石尖劈刀的刀尖处的三条刃为一条主刃,两条附刃。As an improvement to the above technical solution, the three edges at the tip of the diamond beveling knife are one main edge and two auxiliary edges.

当金刚石尖劈刀制作出来后,刀具的几何参数是固定已知的或可测的,所以刀刃的单位向量矩阵[A]是已知的。刀刃投影向量矩阵[D]可以通过刀尖向光栅毛坯压痕后的垂直二维检测图像测量给出,如可测量光学显微镜或扫描电子显微镜等,示意图如图2所示。通过两次印压(沿刻划方向印压间距为L),可获得印压刃口与刻划方向或刻划坐标系之间的关系,方便求出刻划平面X’Z’-O内的投影向量。当刀尖安装角度调整后,通过已知的刀刃的单位向量矩阵[A]向刻划平面内的投影关系也是一定的,对应的投影变换矩阵[C]也是包含安装角度参数的矩阵。因此设定过渡矩阵[E]=[B][C],则有:[E]=[A]-1[D]。When the diamond wedge knife is produced, the geometric parameters of the knife are known or measurable, so the unit vector matrix [A] of the blade is known. The blade projection vector matrix [D] can be obtained by measuring the vertical two-dimensional detection image after the blade tip indents the grating blank, such as a measurable optical microscope or scanning electron microscope, etc. The schematic diagram is shown in Figure 2. Through two stampings (the stamping distance along the marking direction is L), the relationship between the stamping edge and the marking direction or the marking coordinate system can be obtained, and it is convenient to find out the inside of the marking plane X'Z'-O The projection vector of . After the installation angle of the knife tip is adjusted, the projection relationship of the known unit vector matrix [A] of the blade to the marking plane is also certain, and the corresponding projection transformation matrix [C] is also a matrix containing the installation angle parameters. Therefore, if the transition matrix [E]=[B][C] is set, then: [E]=[A]-1[D].

求解上述矩阵即可获得作为过渡矩阵[E]中未知量的刀尖安装角度参数。与现有技术相比,本发明具有的优点和积极效果是:By solving the above matrix, the tool nose installation angle parameter can be obtained as an unknown quantity in the transition matrix [E]. Compared with prior art, the advantages and positive effects that the present invention has are:

本发明的确定金刚石尖劈刀机械刻划安装角度参数的方法,通过刀尖两次印压并检测压痕几何参量,再通过相关计算,获得金刚石金刚石尖劈刀机械刻划时安装角度参数的方法。该方法操作简单、快捷、有效,可以量化得知安装角度的具体参数,便于刻划工艺的反馈研究。The method for determining the installation angle parameter of the mechanical scribing of the diamond beveling knife of the present invention is to obtain the installation angle parameter of the mechanical scribing of the diamond beveling knife by two stampings of the tip of the knife and detection of the geometric parameters of the indentation, and then through correlation calculations. method. The method is simple, fast and effective, and can quantify the specific parameters of the installation angle, which is convenient for the feedback research of the scribing process.

以上所述仅为本发明的较佳实施案例而已,并不用以限制本发明,凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred implementation cases of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included in the scope of the present invention. within the scope of protection.

Claims (7)

  1. A kind of 1. method of determining diamond wedge knife mechanical scratching setting angle parameter, it is characterised in that:The step of this method It is:
    S1, the tool coordinate system XYZ-O for initially setting up diamond wedge knife point of a knife, straight line where delineating main sword are X-axis, and coordinate is former For point O in point of a knife point, the reference direction of icking tool orientation angle is Y-axis, and Z axis is determined by the spiral right-hand rule;
    Three swords at S2, diamond wedge knife point of a knife are provided by the form of linear vector, and be expressed as the unit of blade to Moment matrix [A];
    S3, delineation coordinate system X ' Y ' Z '-O are established, coordinate origin is still point of a knife point;Plane determined by X ' Y '-O is to carve The working surface drawn;Delineation coordinate system X ' Y ' Z '-O are regarded as tool coordinate system XYZ-O by adjusting icking tool setting angle square Battle array [B] is obtained by coordinate conversion;
    The angle of the projection and X ' axis of S4, main sword in X ' Y '-O planes is the azimuth after icking tool adjustment;Main sword is in X ' Z '-O The projection of plane and the angle of X ' axis are pitch angle, and the angle between XZ-O planes and X ' Z '-O planes is roll angle;
    S5, in delineation coordinate system X ' Y ' Z '-O, through projective transformation matrix [C], by three swords of diamond wedge knife point of a knife to X ' Y '-O plane projections, gained blade projection line unit length respectively to X ' axis and Y ' axial projections, throw by the blade after being projected Shadow vector matrix [D], above-mentioned matrix [A], matrix [B], matrix [C], there are following relationships for matrix [D]:[A] [B] [C]=[D];
    S6, setting transition matrix [E]=[B] [C], then have [E]=[A] -1 [D], solving the matrix can obtain as transition square The point of a knife setting angle parameter of unknown quantity in battle array [E].
  2. 2. the method for determining diamond wedge knife mechanical scratching setting angle parameter according to claim 1, feature exist In:Three swords at the point of a knife of the diamond wedge knife are a main sword, two attached swords.
  3. 3. the method for determining diamond wedge knife mechanical scratching setting angle parameter according to claim 1, feature exist In:In step 1, after diamond wedge knife is made, the geometric parameter of cutter is fixed known or measurable, blade Unit vector matrix [A] be known.
  4. 4. the method for determining diamond wedge knife mechanical scratching setting angle parameter according to claim 1, feature exist In:In steps of 5, blade projection vector matrix [D] can pass through vertical two-dimensional detection figure of the point of a knife after grating blank impression It is provided as measuring.
  5. 5. the method for determining diamond wedge knife mechanical scratching setting angle parameter according to claim 4, feature exist In:The tool for measuring vertical two-dimensional detection image of the point of a knife after grating blank impression is that can measure light microscope or scanning electricity Sub- microscope.
  6. 6. the method for determining diamond wedge knife mechanical scratching setting angle parameter according to claim 5, feature exist In:Vertical two-dimensional detection image of the point of a knife after grating blank impression, by coining twice, can obtain coining cutting edge and delineation side To or delineation coordinate system between relationship, the projection vector matrix [D] in delineation plane X ' Y '-O is conveniently obtained.
  7. 7. the method for determining diamond wedge knife mechanical scratching setting angle parameter according to claim 1, feature exist In:After point of a knife setting angle adjusts, pass through projection relation of the unit vector matrix [A] of known blade into delineation plane It is certain, corresponding projective transformation matrix [C] is the matrix for including setting angle parameter.
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