CN107835931A - Method for monitoring linear dimensions of three-dimensional solids - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及测量设备,并且能够用于通过以不同三角测量角度观测已知投影图案进行准确的三维(3D)测量和三维物体轮廓可视化。The present invention relates to measurement equipment and can be used for accurate three-dimensional (3D) measurement and visualization of three-dimensional object contours by observing known projected patterns at different triangulation angles.
背景技术Background technique
已知一种用于光学测量表面形状的方法包括:将一表面布置在投影光学系统的照明场中并同时在上述表面的图像检测器的视场中;使用上述投影光学系统、利用指定图案的光通量、将一组图像投影到被测表面上;检测当以不同于图像集合投影角度的角度观察到的表面的对应图像集合,以及基于记录的图像确定被测表面的形状。此外,至少三个周期光强度分布被交替地投影到上述表面上,上述周期光强度分布是其强度在横向方向以正弦顺序变化的光带集合,而且上述周期光强度分布通过将该光带集合在垂直于光带的方向上按该光带内的受控量进行偏移而区分,并且经配准的图像被处理来获得包含对应于表面点之相位的初步相位分布。此外,将附加光强度分布投影一次到所述表面上,使得能够对上述表面的每个点确定来自上述光带集合的光带数目,上述表面的附加图像被配准,上述表面的每个可见点的所得相位分布基于由上述初步相位分布照射的物体的上述图像和由互补照明分布照射的所述物体的上述图像而获得。上述表面的点的绝对坐标基于上述所得相位分布使用预校准数据而获得。当使用上述方法执行测量时,假定是:每个表面点的图像配准发生在其仅由投影仪的直接光束进行照明的条件下,并且所述图像检测器中该目标点的图像的照明被认为与直接来自该投影仪的入射在该点上的光束的亮度成比例(RUNo.2148793)。There is known a method for optically measuring the shape of a surface comprising: arranging a surface in the illumination field of a projection optical system and simultaneously in the field of view of an image detector of the above-mentioned surface; Luminous flux, projecting a set of images onto a surface under test; detecting a corresponding set of images of the surface when viewed at an angle different from the angle at which the set of images are projected, and determining the shape of the surface under test based on the recorded images. Furthermore, at least three periodic light intensity distributions are alternately projected onto said surface, said periodic light intensity distribution being a collection of light bands whose intensities vary in a sinusoidal order in the transverse direction, and said periodic light intensity distribution is projected onto said surface alternately Discrimination is offset by a controlled amount within the band in a direction perpendicular to the band, and the registered image is processed to obtain a preliminary phase distribution comprising phases corresponding to the surface points. Furthermore, an additional light intensity distribution is projected once onto said surface such that for each point of said surface the number of light bands from said set of light bands can be determined for each point of said surface, the additional image of said surface being registered, each visible of said surface The resulting phase distribution of points is obtained based on the above-mentioned image of the object illuminated by the above-mentioned preliminary phase distribution and the above-mentioned image of said object illuminated by the complementary illumination distribution. The absolute coordinates of the points of the above surface are obtained based on the above obtained phase distribution using pre-calibration data. When performing measurements using the method described above, the assumption is that the image registration of each surface point occurs under the condition that it is only illuminated by the direct beam of the projector, and that the illumination of the image of this target point in the image detector is controlled by Considered to be proportional to the brightness of the beam incident on the point directly from the projector (RU No. 2148793).
该方法的缺点在于其实施的复杂性和过程的持续时间,在设备位置(投影仪和摄像机)的机械波动的情况下,该过程需要大量时间进行测量并且要考虑误差来源。Disadvantages of this method lie in the complexity of its implementation and the duration of the process, which requires a considerable amount of time for measurements and takes account of sources of error in the case of mechanical fluctuations of the device position (projector and camera).
已知一种通过结构化照明的方法进行无接触式控制和识别三维物体的表面的方法和设备,其包括:光辐射源和能够形成非周期线结构光带的透明体;无焦光学系统,其用于将透明体图像投影到受控表面上;接收透镜,其形成因受控物体表面的轮廓而失真、受控物体表面上出现的线结构图案的图像;摄影记录器,其将接收透镜形成的图像转换为数字图像;计算数字电子单元,其将摄影记录器所产生的数字图像重新计算为受控表面的坐标,上述部件依次沿辐射路径安装;并且设置了:附加的N-1个辐射源,其中每一个都不同于其余的辐射光谱范围;N-1个透明体,其中每一个与其余的至少对于一个光带不同;安装在透明体后方的N-1个透镜;N-1个反射镜,其安装在所述无焦光学系统的第二部件前方且与所述N-1个透镜中的每一个的光轴成45°角、并且安装在所述接收透镜后方且与所述接收透镜的光轴成45°角;N-1个次级接收透镜,其中每一个安装在每个第二N-1个反射镜的后方,并且与所述接收透镜一起形成因受控物体表面的轮廓而失真、受控物体表面上出现的线结构图案的图像;N-1个摄影记录器,其中每一个具有与N-1个辐射源之一的光谱辐射范围一致的光谱灵敏度区域;N-1个计算数字电子单元;图像相加电子单元,其被设计为具有与计算数字电子单元的数量相等的输入数量,图像相加电子块的每个输入被连接到每个计算数字电子单元的输出,并且数量N由公式N=Log2(L)确定,其中L是所述摄影记录器的空间分辨率元素对的数目(RU No.2199718)。A method and a device for contactless control and recognition of surfaces of three-dimensional objects by means of structured lighting are known, which comprise: a source of optical radiation and a transparent body capable of forming a non-periodic line structured light band; an afocal optical system, It is used to project the image of the transparent body onto the controlled surface; the receiving lens, which forms an image of the line structure pattern appearing on the controlled object surface distorted by the contour of the controlled object surface; the photographic recorder, which takes the receiving lens The formed image is converted into a digital image; the calculation digital electronic unit recalculates the digital image produced by the photographic recorder into the coordinates of the controlled surface, the above-mentioned components are installed in sequence along the radiation path; and there are provided: additional N-1 radiation sources, each of which is different from the rest of the radiation spectral range; N-1 transparent bodies, each of which is different from the rest for at least one light band; N-1 lenses mounted behind the transparent bodies; N-1 a mirror, which is installed in front of the second part of the afocal optical system and at an angle of 45° to the optical axis of each of the N-1 lenses, and is installed behind the receiving lens and connected to the N-1 lenses. The optical axis of the receiving lens is at an angle of 45°; N-1 secondary receiving lenses, each of which is installed behind each second N-1 reflecting mirrors, and forms a controlled object together with the receiving lens images of line-structure patterns appearing on the surface of a controlled object distorted by the contours of the surface; N-1 photographic recorders, each of which has a region of spectral sensitivity corresponding to the spectral radiation range of one of the N-1 radiation sources; N-1 calculation digital electronic units; image addition electronic units designed to have a number of inputs equal to the number of calculation digital electronic units, each input of the image addition electronic block being connected to each calculation digital electronic unit , and the number N is determined by the formula N=Log 2 (L), where L is the number of spatial resolution element pairs of the photographic recorder (RU No. 2199718).
这种方法的缺点也在于其实施的复杂性和过程的持续时间,在设备位置(投影仪和摄像机)的机械波动的情况下,该过程需要大量时间进行测量并且要考虑误差来源。Disadvantages of this method are also the complexity of its implementation and the duration of the process, which requires a considerable amount of time for measurements and takes account of sources of error in the case of mechanical fluctuations in the position of the devices (projector and camera).
已知一种实施它的方法和装置是通过三个笛卡尔坐标来监测三维物体的线性尺寸。两台摄像机位于投影机的右侧和左侧,从而如同人类视觉一样形成立体对(stereopair)。投影机将带状图像投射到物体上。从右和左摄像机获得图像,然后通过相关方法比较这两个图像,即对于来自右图像的每个条带,通过直接搜索方法从来自左图像的所有光带中搜索左图像中的相似对(US 6377700)。A method and a device for implementing it are known to monitor the linear dimensions of a three-dimensional object by means of three Cartesian coordinates. The two cameras are located on the right and left of the projector to form a stereo pair just like human vision. A projector projects a strip image onto an object. Images are obtained from the right and left cameras, and then these two images are compared by a correlation method, i.e., for each strip from the right image, a similar pair in the left image is searched from all light strips from the left image by a direct search method ( US 6377700).
这种方法的缺点是:在计算机上搜索所有可能的光带对和运行相关算法需要很长时间。The disadvantage of this method is that it takes a long time to search for all possible light band pairs and run the correlation algorithm on the computer.
已知一种使用结构化照明进行三维物体测量的方法,其中:将具有至少两条非相交线的预定图像沿纵轴之一投影到投影仪待检查的物体上;使用至少两个放置在距离投影仪不同距离处的摄像机记录从物体反射的投影仪的光,而投影仪的中心光束与摄像机的中心光束之间形成不同的三角测量角度;然后通过比较由摄像机获得的线坐标来识别由投影仪投影并由每个摄像机接收的反射光形成的每条线,其中,在投影仪的中心光束与位于离投影仪最小距离处的第一摄像机的中心光束之间的三角测量角被选择为投影的光带之间的距离与该摄像机镜头的景深的比率的反正切;在第一摄像机的图像中,线条中心的纵向坐标和竖直坐标被确定为纵向坐标与在投影仪的中心光束和第一摄像机的中心光束之间的三角测量角的切线的商,而为了明确竖直坐标,其值使用位于大于第一个三角测量角的第二个摄像机获得,因此在第二摄像机的图像中识别出:与最靠近纵向坐标的线相同的线的位置,所述纵坐标被计算为由第一摄像机确定的竖直坐标乘以第二摄像机的三角测量角的正切的乘积;然后为这些线确定纵向坐标和竖直坐标的指定值(WO2014074003,原型)。A method for three-dimensional object measurement using structured lighting is known, wherein: a predetermined image with at least two non-intersecting lines is projected along one of the longitudinal axes onto the object to be inspected by the projector; Cameras at different distances from the projector record the projector's light reflected from the object, while the center beam of the projector forms different triangulation angles with the center beam of the camera; the line coordinates obtained by the camera are then identified by comparing the line coordinates obtained by the camera. each line formed by the reflected light projected by the projector and received by each camera, where the triangulation angle between the central beam of the projector and the central beam of the first camera located at the smallest distance from the projector is chosen to project The arc tangent of the ratio of the distance between the light bands to the depth of field of the camera lens; in the image of the first camera, the longitudinal and vertical coordinates of the centers of the lines are determined as the longitudinal coordinates in relation to the center beam of the projector and the second The quotient of the tangent to the triangulation angle between the central beams of a camera, whose value is obtained using a second camera located at a greater triangulation angle than the first, for the purpose of specifying the vertical coordinates, and is therefore identified in the image of the second camera Out: the position of the same line as the line closest to the longitudinal coordinate calculated as the product of the vertical coordinate determined by the first camera multiplied by the tangent of the triangulation angle of the second camera; Specify values for longitudinal and vertical coordinates (WO2014074003, prototype).
这种方法的缺点如下:在实施中,至少需要两台摄像机,三台或三台以上的摄像机更佳,如果使用一台摄像机来确定Z坐标则可能存在显著误差,这是由于在确定沿物体反射的线上的点中的误差以及由与摄像机矩阵的线和像素列上的周期相关联的摄像机记录的场中的误差,而与反射线的周期相关联的接收场定位在摄像机矩阵的最大数量的像素列和线上。与投影仪成小角度的第一个摄像机所获得的图像,该图像中线可被投影的区域从不占用线被反射的工作区中物体所在的任何位置的另一线的区域,但是确定3D坐标的准确度不是很高,而第二台摄像机是用于进行明确。The disadvantages of this method are as follows: In the implementation, at least two cameras are required, three or more cameras are better, and if one camera is used to determine the Z coordinate, there may be significant errors, which are due to the The error in the points on the reflected line and the field recorded by the camera associated with the period on the line and pixel column of the camera matrix, while the receptive field associated with the period of the reflected line is positioned at the maximum of the camera matrix Number of pixels in columns and lines. The image obtained by the first camera at a small angle to the projector, in which the area where the line can be projected never occupies the area of another line wherever the object is located in the workspace where the line is reflected, but where the 3D coordinates are determined Accuracy is not very high, and the second camera is used for clarity.
摄像机图像中的线场是可以定位投影线中心的摄像机矩阵像素的区域,场的大小取决于投影线之间的周期和投影线的粗细。在不使用第二台摄像机的情况下,几乎不可能指定矩阵上目标点的投影位置的区域。The line field in the camera image is the area of the camera matrix pixels where the center of the projected lines can be located, the size of the field depends on the period between the projected lines and the thickness of the projected lines. It is almost impossible to specify the area of the projected location of the target point on the matrix without using a second camera.
发明内容Contents of the invention
本发明的技术目的是:开发一种有效方法,其使用结构化照明来执行3D物体测量并扩展使用结构化照明来执行3D物体测量的方法的范围。The technical purpose of the present invention is to develop an efficient method for performing 3D object measurement using structured lighting and to expand the range of methods for performing 3D object measurement using structured lighting.
提供所制定任务的解决方案的技术效果是:缩短持续时间,减少——与确定沿被物体反射的线上的点和在摄像机矩阵的像素列和线上由摄像机记录的场的误差有关的——被测物体的成像和测量误差的概率,因为摄像机图像中每个点的搜索和形成沿两条线进行,即作为两条相互垂直线的交点,其几乎排除了对于沿线的点的错误搜索和行号的错误确定的可能性,其中相对于矩阵列和行旋转的被反射相交线的接收场位于实施所要求保护的方法所需的唯一摄像机矩阵的最小可能数量的像素列和线上。在本申请中,垂直于竖直线的投影水平线被用作第二摄像机,垂直线和水平线的所有交点唯一地分配水平线的数目,3D坐标通过使用一台摄像机由线的交点确定或由水平线确定,并且处于一台摄像机的图像中。The technical effects of providing a solution to the formulated task are: shortening the duration, reducing—related to errors in determining points along lines reflected by objects and fields recorded by cameras in pixel columns and lines of the camera matrix— - Probability of imaging and measurement errors of the measured object, since the search and formation of each point in the camera image is carried out along two lines, i.e. as the intersection of two mutually perpendicular lines, which almost excludes false searches for points along the lines Possibility of erroneous determination of and row numbers, where the receptive field of reflected intersection lines rotated relative to matrix columns and rows is located on the smallest possible number of pixel columns and lines of a unique camera matrix required to implement the claimed method. In this application, a projected horizontal line perpendicular to the vertical line is used as the second camera, all intersections of the vertical and horizontal lines are uniquely assigned the number of horizontal lines, and the 3D coordinates are determined by the intersection of the lines or by the horizontal line by using one camera , and is in the image of a camera.
因此,模糊区域——期望点所在的区域——包含最小数量的像素,故比实施已知方法时明显更小。Consequently, the blurred area - the area where the desired point is located - contains a minimum number of pixels and is therefore significantly smaller than when implementing known methods.
本发明的实质在于,用于进行3D对象测量的方法包括:使用投影仪投影具有由线构成的周期式结构的图像;使用摄像机接收矩阵的像素来记录从物体反射的投影仪光,其中,在投影仪的中心光束与摄像机的中心光束之间形成三角测量角;然后识别摄像机矩阵的接收像素和反射光形成的线,以确定坐标和识别摄像机图像中的线;使用投影仪投影由两组相交线构成的图像,在每组中线彼此平行并且与三角测量角平面的竖直轴成一定角度,随后确定和识别每对线彼此的交点以及由其配准的摄像机矩阵上的摄像机矩阵的像素列和线。The essence of the invention is that the method for making a measurement of a 3D object comprises: using a projector to project an image having a periodic structure of lines; A triangulation angle is formed between the central beam of the projector and the central beam of the camera; the line formed by the receiving pixels of the camera matrix and the reflected light is then identified to determine the coordinates and identify the line in the camera image; the intersection of the two sets is made using the projector projection An image of lines, in each set of which are parallel to each other and at an angle to the vertical axis of the triangulation angle plane, then determine and identify the intersection of each pair of lines with each other and the pixel columns of the camera matrix on the camera matrix registered by them and line.
优选地,在矩阵上找到的一对投影线与像素垂直列的每个交点被确定为物体上的点N的坐标Xn,像素水平线与该一对线的交点被确定为物体上的坐标Yn,并且坐标Z由关系Z=M*Yn/sin(α)确定,其中M是用于表示空间维度中像素的透镜比例因子,α是三角测量角。Preferably, each intersection point of a pair of projection lines found on the matrix and the vertical column of pixels is determined as the coordinate Xn of point N on the object, and the intersection point of the pixel horizontal line with the pair of lines is determined as the coordinate Yn on the object, And the coordinate Z is determined by the relation Z=M*Yn/sin(α), where M is the lens scale factor used to represent the pixel in the spatial dimension and α is the triangulation angle.
优选地,成组的平行投影线相互成对垂直,并且每组中的线位于彼此间等距处,同时投影线的倾斜角选择为锐角。Preferably, the sets of parallel projection lines are in pairs perpendicular to each other, and the lines in each set are located equidistant from each other, while the angle of inclination of the projection lines is chosen to be acute.
优选地,各相互垂直线中的一者位于与所述列和另一者(从下述关系中选择的摄像机矩阵的像素线)成锐角:β=arcsin(Tv2*M/((z2-z1)*sinα)),其中:β是投影线位置的角度,Тv2是相邻投影线之间的距离,M是用于表示空间维度中像素的透镜比例因子,Z1和Z2是投影仪1和摄像机5的联合工作区的边界,α是三角测量角度。Preferably, one of the mutually perpendicular lines lies at an acute angle to said column and the other (the pixel line of the camera matrix chosen from the relation: β=arcsin(Tv2*M/((z2-z1 )*sinα)), where: β is the angle of the projection line position, Тv2 is the distance between adjacent projection lines, M is the lens scale factor used to represent pixels in the spatial dimension, Z1 and Z2 are projector 1 and camera 5 is the boundary of the joint workspace, and α is the triangulation angle.
优选地,使用计算机处理器进行测量和坐标确定,并且在计算机监视器上形成测量物体的3D图像。Preferably, the measurement and coordinate determination is performed using a computer processor, and a 3D image of the measured object is formed on a computer monitor.
附图说明Description of drawings
图1示出在将单条水平线投影到物体上时投影仪和摄像机的布局图;Figure 1 shows a layout of a projector and a camera when projecting a single horizontal line onto an object;
图2示出在将相对于摄像机像素列和线旋转角度β的线投影到物体时投影仪和摄像机的布局图;Figure 2 shows the layout of the projector and camera when projecting a line rotated by an angle β with respect to the camera pixel column and line to an object;
图3示出在将相对于摄像机像素列和线旋转的两条相互垂直线投影到物体时投影仪和摄像机的布局图;Figure 3 shows the layout of the projector and camera when projecting two mutually perpendicular lines rotated relative to the camera pixel columns and lines onto an object;
图4示出投影的相互垂直线与摄像机矩阵上像素列的交点;Figure 4 shows the intersection of projected mutually perpendicular lines and pixel columns on the camera matrix;
图5是当摄像机矩阵的列与投影的相互垂直线相交时形成的模糊区域。Figure 5 is the blurred area formed when the columns of the camera matrix intersect the mutually perpendicular lines of the projection.
在附图中,参考位置包括:投影仪1,投影仪1包括辐射源2、投影图像的模板图案3和透镜4。摄像机5包括接收矩阵6和与投影仪透镜相同的透镜4。In the drawings, the reference position includes: a projector 1 comprising a radiation source 2 , a template pattern 3 for projecting an image and a lens 4 . The camera 5 comprises a reception matrix 6 and a lens 4 identical to the projector lens.
模板图案3(等同:透明体、模板、幻灯片等),例如一种薄板,其在辐射源2的光束照射到的平面的不同点上具有不同的吸收能力或折射率。投影仪1和摄像机5定位成它们的透镜4之间为距离A,而投影仪1的中心光束和摄像机5的中心光束之间形成三角测量角α和三角测量平面。在这种情况下,图1中的Z1和Z2是投影仪1和摄像机5的联合工作区的边界(深度)。扫描器的工作区在几何形状上视为投影机的光束相交所在的空间区域,其在物体上形成图像,而光束则限定了摄像机的覆盖范围。Template pattern 3 (equivalent: transparency, template, slide, etc.), for example a thin plate, which has different absorptivity or refractive index at different points of the plane on which the beam of radiation source 2 strikes. The projector 1 and the camera 5 are positioned at a distance A between their lenses 4 and the center beam of the projector 1 and the camera 5 form a triangulation angle α and a triangulation plane. In this case, Z1 and Z2 in FIG. 1 are boundaries (depths) of the joint working area of the projector 1 and the camera 5 . The scanner's workspace is geometrically viewed as the region of space where the projector's beams intersect to form an image on the object, while the beams define the camera's coverage area.
具体实施方式Detailed ways
在图1中,由投影仪1投影到被测物体7上的水平线8在后者上被反射,并被矩阵6的整个宽度上区域Ly中(由图中的水平虚线限定)摄像机5的矩阵6上的像素记录。在图2中,水平线8与以角度β投射到被测物体7上的线9的交点在被测物体上被反射,并由区域Ly*Tv2中摄像机5的矩阵6上的像素记录,所述区域Ly*Tv2包含位于由图中倾斜虚线和水平虚线所限定的区域中的明显较少数量的像素,这些虚线是在模板图案3的平面中以角度β旋转的相互垂直线8和9的记录图像并且因此与摄像机5的矩阵6的平面中的像素列和线成β角。在图3中,以锐角β投射到被测物体7上的相互垂直线10和11在被测物体7上被反射,并由下述相交区域中摄像机5的矩阵6上的像素记录,所述相交区域包含由倾斜虚线(其为线10和11的记录图像)限定在像素列13上的区域中的更少数量的像素。In Fig. 1, the horizontal line 8 projected by the projector 1 onto the measured object 7 is reflected on the latter and is captured by the matrix of the camera 5 in the area Ly (delimited by the horizontal dashed line in the figure) over the entire width of the matrix 6 6 on pixel recording. In Fig. 2, the intersection of the horizontal line 8 and the line 9 projected onto the measured object 7 at an angle β is reflected on the measured object and recorded by the pixels on the matrix 6 of the camera 5 in the area Ly*Tv2, said The area Ly*Tv2 contains a significantly smaller number of pixels located in the area delimited by the slanted and horizontal dashed lines in the figure, which are records of mutually perpendicular lines 8 and 9 rotated by an angle β in the plane of the template pattern 3 The image is thus at an angle β to the pixel columns and lines in the plane of the matrix 6 of the camera 5 . In FIG. 3 , mutually perpendicular lines 10 and 11 projected onto the measured object 7 at an acute angle β are reflected on the measured object 7 and recorded by pixels on the matrix 6 of the camera 5 in the intersecting region as follows, The intersection area contains a smaller number of pixels in the area bounded by the oblique dashed lines (which are the recorded images of lines 10 and 11 ) on the pixel column 13 .
图4的顶部示出以角度β投射到被测物体7上的相互垂直线9和11,12的交点,其在被测物体7上被反射,并由下述区域中摄像机5的矩阵6上的两列13,14像素记录,所述区域包含位于由图中两个粗黑点(其为线9与线11和线12的交点的记录图像)所限定区域中的最小数目的像素列和线。The top of Fig. 4 shows the intersection of mutually perpendicular lines 9 and 11, 12 projected onto the measured object 7 at an angle β, which is reflected on the measured object 7 and is captured by the matrix 6 of the camera 5 in the region Two columns of 13, 14 pixel records of , which contain the minimum number of pixel columns located in the area bounded by the two thick black dots in the figure (which are the recorded image of the intersection of line 9 with lines 11 and 12) and Wire.
图4的底部示出以对于三角测量平面(摄像机矩阵的像素的列和线)成角度β投影到被测物体7上的相互垂直线9和11,12的交点,其在被测物体7上被反射,并由下述区域中摄像机5的矩阵6上的两列13,14像素记录,所述区域包含位于由图中四个粗黑点(其为投影线的交点的记录图像)所限定区域中的最小数目的像素列和线。The bottom of Fig. 4 shows the intersection of mutually perpendicular lines 9 and 11, 12 projected onto the measured object 7 at an angle β to the triangulation plane (columns and lines of pixels of the camera matrix), which are on the measured object 7 is reflected and recorded by two columns of 13,14 pixels on the matrix 6 of the camera 5 in the area containing the recorded image defined by the four thick black dots in the figure which are the intersections of the projection lines The minimum number of pixel columns and lines in a region.
图5示出相对于三角测量平面和下述矩阵的列13旋转的线9,11的反射交叉场(厚度为b)的记录场15,所述矩阵位于摄像机5的矩阵6的最小可能数目的像素列和线上。5 shows the recording field 15 of the reflected cross field (thickness b) of the lines 9, 11 rotated with respect to the triangulation plane and the columns 13 of the matrix located at the smallest possible number of the matrix 6 of the camera 5 Pixel columns and lines.
所述方法实施如下。The method is carried out as follows.
所述方法包括:通过投影仪1将周期式结构的图像投影到物体7的表面上。使用摄像机5的接收矩阵6的像素来记录从物体7反射的投影仪1的光,该摄像机5相对于投影仪1的投影系统位移距离A、并且被布置成:在投影仪1的中央光束与摄像机5的中央光束之间形成三角测量角α。The method comprises projecting an image of the periodic structure onto the surface of an object 7 by means of a projector 1 . The light of the projector 1 reflected from the object 7 is recorded using the pixels of the receiving matrix 6 of the camera 5, which is displaced by a distance A relative to the projection system of the projector 1 and which is arranged so that the central beam of the projector 1 and The central beams of the cameras 5 form a triangulation angle α between them.
使用投影仪1,将周期式结构的图像同时投影到由两组成对的相交线构成的研究物体7上,例如相对于三角测量角的平面(三角测量平面)——即一般说来相对于摄像机5的矩阵6的像素列13和线——成锐角β的相互垂直线9,10,11,从物体7反射的投影仪1的光由摄像机5的接收矩阵6的像素记录。其中一组线提供对物体7形状的初始测量,而第二组(例如,垂直于第一组)用于其细化。Using the projector 1, an image of the periodic structure is simultaneously projected onto the investigation object 7, which consists of two pairs of intersecting lines, e.g. relative to the plane of the triangulation angle (triangulation plane)—that is, generally speaking relative to the camera Columns 13 of pixels of the matrix 6 of 5 and lines - mutually perpendicular lines 9 , 10 , 11 at an acute angle β, the light of the projector 1 reflected from the object 7 is recorded by the pixels of the reception matrix 6 of the camera 5 . One set of lines provides an initial measure of the shape of the object 7, while a second set (eg, perpendicular to the first set) is used for its refinement.
在图1中,如在已知的类似物中,投影仪1投射模版图案3的图像,该模版图案3由经过投影仪1的图像中心的一条水平线8组成。摄像机5以角度α观测物体7,并且根据物体7在工作区z1-z2中的位置、从物体7反射的线8被投影到在Ly区域中不同位置处的摄像机5的矩阵6上。另外,Ly=((z1-z2)*sin(α))/M,其中M是透镜4的比例因子,该透镜4用于将图像投影到摄像机5的矩阵6上。因此,可以观测到,根据工作区中的物体7的位置,投影线8能够占取摄像机的矩阵6上Ly范围中的任何位置。由此,为了唯一地识别和不混淆至少在摄像机5的矩阵6上的投影线,需要投影具有大于Ly的周期的线,即T v1>Ly=((z1-z2)*sin(α))/M。In FIG. 1 , as in known analogues, projector 1 projects an image of a stencil pattern 3 consisting of a horizontal line 8 passing through the center of the image of projector 1 . The camera 5 observes the object 7 at an angle α and, depending on the position of the object 7 in the work zone z1-z2, the lines 8 reflected from the object 7 are projected onto the matrix 6 of the cameras 5 at different positions in the Ly area. In addition, Ly=((z1-z2)*sin(α))/M, where M is the scaling factor of the lens 4 used to project the image onto the matrix 6 of the camera 5 . It can thus be observed that, depending on the position of the object 7 in the working area, the projection line 8 can occupy any position in the range Ly on the matrix 6 of the camera. Thus, in order to uniquely identify and not confuse projected lines at least on the matrix 6 of the camera 5, it is necessary to project lines with a period greater than Ly, ie T v1>Ly=((z1-z2)*sin(α)) /M.
在这种情况下,为了清楚起见,假定:具有相同比例因子的相同透镜4可以用于投影仪1和摄像机5两者。如果使用不同的透镜,则值M应该考虑投影仪1上的和摄像机5上的不同投影透镜之间的比例之比。M可以不仅是数字,也可以是针对每个透镜的矩阵,其包含针对投影图像的水平和竖直方向的比例校正。这些校正旨在校正透镜的失真(空间的光学失真)。In this case, it is assumed for the sake of clarity that the same lens 4 with the same scale factor can be used for both projector 1 and camera 5 . If different lenses are used, the value M should take into account the proportional ratio between the different projection lenses on projector 1 and on camera 5 . M can be not only a number, but also a per-lens matrix containing scale corrections for the horizontal and vertical directions of the projected image. These corrections are aimed at correcting the distortion of the lens (optical distortion of space).
如果将投影机1中的图像旋转,并且不投影水平线而是投影与三角测量平面成β角的线9,如图2所示,则可以投影更多平行线,即具有较短周期。在这种情况下,线之间的周期将取决于投影仪1中的投影图像的旋转角度β。平行线之间的距离是Тv2>Ly*sin(β)。If the image in projector 1 is rotated and instead of projecting horizontal lines but lines 9 at angle β to the triangulation plane, as shown in Figure 2, more parallel lines can be projected, ie with a shorter period. In this case, the period between lines will depend on the angle of rotation β of the projected image in projector 1 . The distance between parallel lines is Тv2>Ly*sin(β).
如果周期Tv2小于Ly*sin(β),则线可能位于另一线的Tv2区域中,并且线数目可能被错误地检测,因此,工作区中物体7的位置Z可能被错误地确定。If the period Tv2 is smaller than Ly*sin(β), the wire may be located in the Tv2 area of another wire, and the number of wires may be erroneously detected, and thus the position Z of the object 7 in the working area may be erroneously determined.
可以使用更多数量的投影仪(例如,两个投影仪(其中心光束位于一个三角测量平面中))来设计线9,11,12的复合周期式图像,但是在这种情况下,计算变得更加复杂。A higher number of projectors (e.g. two projectors with their central beams in one triangulation plane) can be used to design a composite periodic image of lines 9,11,12, but in this case the computation becomes more complicated.
以这种旋转角度β和周期投影的所有线9是唯一的,即取决于物体7在工作区Z2-Z1中的位置,所有投影的线将被投影到摄像机5的矩阵6上它们的特定区域中。All lines 9 projected with this rotation angle β and period are unique, i.e. depending on the position of the object 7 in the working zone Z2-Z1, all projected lines will be projected to their specific area on the matrix 6 of the camera 5 middle.
图4和图5中的相互垂直线9和11,12位于相对于三角测量角α的平面的竖直轴线和相对于摄像机5的像素列成锐角β。各相互垂直线中之一,例如线9,位于对于摄像机5的矩阵6的像素列和其它线(例如线11,12)成锐角。在这种情况下,锐角β优选等于投影线之间距离与工作区之比乘以考虑比例因子的三角测量角α的正弦,即由以下关系决定:β=(arcsin(Tv2*M/((z2-z1)*sinα)),其中:β是投影线的角度,Tv2是相邻投影线之间的距离,M是用于表示在空间维度中像素的透镜比例因子,Z1和Z2是投影仪1和摄像机5的联合工作区的边界,α是三角测量角度。The mutually perpendicular lines 9 and 11 , 12 in FIGS. 4 and 5 lie on the vertical axis of the plane with respect to the triangulation angle α and at an acute angle β with respect to the pixel columns of the camera 5 . One of the mutually perpendicular lines, for example line 9 , lies at an acute angle to the pixel column of matrix 6 of camera 5 and the other lines (for example lines 11 , 12 ). In this case, the acute angle β is preferably equal to the ratio of the distance between the projection lines to the working area multiplied by the sine of the triangulation angle α taking into account the scale factor, i.e. determined by the relationship: β=(arcsin(Tv2*M/(( z2-z1)*sinα)), where: β is the angle of the projection line, Tv2 is the distance between adjacent projection lines, M is the lens scale factor used to represent the pixel in the spatial dimension, Z1 and Z2 are the projectors 1 and the boundary of the joint workspace of camera 5, α is the triangulation angle.
因此,当图像3在投影仪1中被旋转时,可以将更多线9,11,12投影到摄像机5的矩阵6上,并获得关于物体7的更多信息,从而缩窄在摄像机5的矩阵6上对于物体7的每个点的模糊区域。Therefore, when the image 3 is rotated in the projector 1, more lines 9, 11, 12 can be projected onto the matrix 6 of the camera 5 and more information about the object 7 can be obtained, thereby narrowing the Blur region for each point of object 7 on matrix 6.
由于摄像机5定位成在竖直平面中相对于投影仪1成角度α,因此物体7在工作区内沿轴线Z的移动导致所有线和线上的点沿摄像机5的矩阵6上的竖直像素列的线移动。Since the camera 5 is positioned at an angle α relative to the projector 1 in the vertical plane, movement of the object 7 along the axis Z within the workspace results in all lines and points on the lines along the vertical pixels on the matrix 6 of the camera 5 The line of the column moves.
对于每对投影线与彼此以及与像素列和线的相交区域在摄像机5的矩阵6上的以下确定(定位和研究)基于以下内容。The following determination (positioning and investigation) of the intersection area of each pair of projection lines with each other and with pixel columns and lines on the matrix 6 of the camera 5 is based on the following.
如果在投影仪1的图像中与竖直(以下称为“竖直”)成角度β投影的线9与垂直于它的与水平(以下称为“水平“)成角度β的线11相交,则在摄像机5的矩阵6上,上述线的交点10将总是被投影到摄像机5的矩阵6的竖直列上。If a line 9 projected at an angle β to the vertical (hereinafter referred to as "vertical") in the image of the projector 1 intersects a line 11 perpendicular to it at an angle β to the horizontal (hereinafter referred to as "horizontal"), Then on the matrix 6 of the cameras 5 the intersection 10 of the above-mentioned lines will always be projected onto the vertical columns of the matrix 6 of the cameras 5 .
如果线9与线11和线12相交,则每个交点将被投影到矩阵6上的它的列上,如图4所示。线9和线12的交点将被投影到列14上,线9和11的交点被投影到列13上。If line 9 intersects lines 11 and 12, each intersection point will be projected onto its column on matrix 6, as shown in FIG. 4 . The intersection of lines 9 and 12 will be projected onto column 14, and the intersection of lines 9 and 11 onto column 13.
识别反射光形成的每条线和摄像机5的矩阵6的记录像素,以确定摄像机5的图像中的坐标线。Each line formed by the reflected light and the recording pixels of the matrix 6 of the camera 5 is identified to determine the coordinate line in the image of the camera 5 .
如果有必要针对每个特定的模板图案3进行尽可能准确的测量,则可以(在操作由摄像机5和投影仪1构成的系统之前)预设摄像机5的矩阵6上的像素的线和列编号的零点位置。此操作可以用于透镜的失真(光学空间失真)的提前校正和上述比例因子M的精细化。If it is necessary to make measurements as accurate as possible for each specific template pattern 3, it is possible (before operating the system consisting of camera 5 and projector 1) to preset the line and column numbers of the pixels on the matrix 6 of the camera 5 zero position. This operation can be used for advance correction of distortion of the lens (optical space distortion) and refinement of the scale factor M described above.
零位置设定通过预定校准过程(在设置物体7之前)来执行,在该处在设备的工作区中任意选择的校准平面(例如,以移动的屏幕的形式)沿坐标Z移动,并且投影线的所有交点的移动所沿循的摄像机5的矩阵6上的所有列被记录。投影仪1和摄像机5的光束的交点处的校准平面的位置被选择为零位置。在零位置,投影仪1的图像3中穿过图像3的中心的线9将被投影到位于其中心的摄像机5的矩阵6上,并且投影线9在摄像机矩阵上的这个位置也将被称为零点。在图1中,零位置沿轴线Y标记为0。当校准平面被移动靠近或远离由摄像机5和投影仪1组成的系统时,摄像机5的矩阵6上的线的偏差ΔYn用于细化矩阵6上该线的定位交点。The zero position setting is performed by a predetermined calibration procedure (before setting the object 7), where an arbitrarily selected calibration plane (for example in the form of a moving screen) in the working area of the device is moved along the coordinate Z, and the projection line The movements of all intersections along all columns of the matrix 6 of the camera 5 are recorded. The position of the calibration plane at the intersection of the beams of projector 1 and camera 5 is chosen as the zero position. At the zero position, the line 9 passing through the center of the image 3 in the image 3 of the projector 1 will be projected onto the matrix 6 of the camera 5 at its center, and this position of the projected line 9 on the camera matrix will also be called to zero. In FIG. 1 , the zero position is marked 0 along the axis Y. The deviation ΔYn of a line on the matrix 6 of cameras 5 is used to refine the location intersection of this line on the matrix 6 when the calibration plane is moved closer or further away from the system consisting of camera 5 and projector 1 .
线9在摄像机5的矩阵6上的定位通过搜索图5的线9的中心来执行,因为实际上投影线在摄像机5的矩阵6上具有一定的厚度b,其占据几个像素。当投影仪1的图像3被旋转时,与矩阵6上像素列13相交的线9的厚度增加。并且线9的定位可能不太准确,这导致确定“竖直”线与“水平”线的交点时的模糊度。在此方面,最好选择“水平”线9之间的周期大于在列13与线9的交点处的如图5所示的模糊区域15,即,Тgor>b/tg(β),其中b是投影线9的厚度,Tgor是“水平”线11,12之间的周期。The positioning of the line 9 on the matrix 6 of the camera 5 is performed by searching for the center of the line 9 of FIG. 5 , since in reality the projected line has a certain thickness b on the matrix 6 of the camera 5 , which occupies several pixels. When the image 3 of the projector 1 is rotated, the thickness of the line 9 intersecting the pixel column 13 on the matrix 6 increases. And the positioning of the line 9 may be less accurate, which leads to ambiguity in determining the intersection of the "vertical" line and the "horizontal" line. In this respect, it is best to choose the period between the "horizontal" lines 9 to be larger than the blurred region 15 shown in Figure 5 at the intersection of the columns 13 and the lines 9, i.e., Тgor>b/tg(β), where b is the thickness of the projected line 9 and Tgor is the period between the "horizontal" lines 11,12.
为了投射比水平线更多的线11,12,需要旋转“竖直”线9,如图1所示,其中一条线及其在矩阵上的位置区域Ly几乎占据摄像机5的整个矩阵6,因此,“竖直”线9相对于竖直以角度β投影。图2示出区域Tv2远小于区域Ly。“竖直”线9与“水平”线11,12相交,并且这些线的交点明确地提供关于在给定点相交的竖直线和水平线的数量的数据。In order to project more lines 11,12 than horizontal lines, it is necessary to rotate the "vertical" lines 9, as shown in Fig. 1, where a line and its position area Ly on the matrix occupy almost the entire matrix 6 of the camera 5, therefore, The "vertical" line 9 is projected at an angle β with respect to vertical. Figure 2 shows that the region Tv2 is much smaller than the region Ly. The "vertical" line 9 intersects the "horizontal" lines 11, 12, and the intersection of these lines unambiguously provides data on the number of vertical and horizontal lines intersecting at a given point.
选择“水平”线11,12等于或小于竖直线是合理的,以避免确定线交点时的模糊性。同时,建议选择水平线的周期大于线交叉时出现的模糊区,所述模糊区导致在确定竖直线与水平线的交点时的模糊度。It is reasonable to choose the "horizontal" lines 11, 12 to be equal to or smaller than the vertical lines in order to avoid ambiguities in determining line intersections. At the same time, it is advisable to choose the period of the horizontal line to be larger than the blurred area that occurs when the lines intersect, which causes ambiguity in determining the intersection point of the vertical line with the horizontal line.
因此,可以以竖直格周期Тv2>((z1-z2)*sin(α)*sin(β))/M和水平格周期Тgor>b/tg(β)来实现由投影仪1投影的图像3。图像3应该相对于矩阵6的像素垂直列13旋转角度β。Therefore, the image projected by the projector 1 can be realized with a vertical lattice period Тv2>((z1-z2)*sin(α)*sin(β))/M and a horizontal lattice period Тgor>b/tg(β) 3. Image 3 should be rotated by angle β with respect to vertical column 13 of pixels of matrix 6 .
投影在物体7上的这种图像允许准确地确定投影的“水平”线11,12的数量,这使得:在已知几何构造(摄像机5和投影仪1的相对位置,即由摄像机5和投影仪1组成的系统的角度α)的情况下,可以确定在由摄像机5和投影仪1组成的系统的工作区中的物体7的形状Z=M*Yn/sin(α)。Yn是摄像机5的矩阵6上的水平线11相对于其中心位置的偏移(数量),即其穿过矩阵6的中心m时的位置。当物体7位于工作区的中间时,线11与矩阵的中心6相交。Such an image projected on the object 7 allows an accurate determination of the number of projected "horizontal" lines 11, 12, which enables: In the case of the angle α) of the system composed of the camera 1, the shape Z=M*Yn/sin(α) of the object 7 in the working area of the system composed of the camera 5 and the projector 1 can be determined. Yn is the offset (number) of the horizontal line 11 on the matrix 6 of the camera 5 relative to its central position, ie its position when it passes through the center m of the matrix 6 . When the object 7 is in the middle of the workspace, the line 11 intersects the center 6 of the matrix.
因此,能够迅速且准确地确定出投影线彼此之间的以及与像素列在摄像机矩阵上的交点,此外,成对投影线与最近竖直列在摄像机矩阵上的交点被定义为物体上点N的坐标Xn,该成对线与最近水平像素线的交点被确定为物体上的坐标Yn,坐标Z由关系Z=M*Yn/sin(α)确定,其中M是用于表示空间维度中像素的透镜比例因子,角α是三角测量角。Therefore, it is possible to quickly and accurately determine the intersection points between the projection lines and the pixel columns on the camera matrix. In addition, the intersection point of the pair of projection lines and the nearest vertical column on the camera matrix is defined as point N on the object The coordinate Xn of the paired line and the nearest horizontal pixel line is determined as the coordinate Yn on the object, and the coordinate Z is determined by the relationship Z=M*Yn/sin(α), where M is used to represent the pixel in the spatial dimension The lens scale factor of , the angle α is the triangulation angle.
图5示出模糊区15——用于确定线数目的期望点的位置场——包含最小数目的像素,并因此实质上比实施已知方法时更小。这不需要使用第二台摄像机,从而简化了所用设备的设计、技术以及测量结果的处理。测量(具体特性的计算)和坐标确定通过使用计算机处理器来执行,并且被测物体的3D图像形成在计算机监视器上。Figure 5 shows that the blur region 15 - the position field of the desired point for determining the number of lines - contains a minimum number of pixels and is therefore substantially smaller than when implementing known methods. This does not require the use of a second camera, which simplifies the design of the equipment used, the technology and the processing of the measurement results. Measurement (calculation of specific properties) and coordinate determination are performed by using a computer processor, and a 3D image of the measured object is formed on a computer monitor.
因此,可以缩短持续时间、降低被测物体的成像和测量误差的概率。Thus, the duration can be shortened, the imaging of the measured object and the probability of measurement errors reduced.
工业适用性Industrial applicability
本发明使用工业上广泛使用的通用设备来实施。The present invention is implemented using general-purpose equipment widely used in industry.
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