Measurement method, measurement extent and object size, range image accuracy

One of the essential advantages of the QTSculptor system is its simple configurability for various measurement extents and object sizes. The connection between object size, measurement extent, number of required range images, and measurement precision are explained in the following paragraphs.

Sensor head and tripod

The sensor head for the stripe projection method consists of a white light LCD projector and a CCD camera. Since there are no mechanically moving parts in either the camera or the projector, a high accuracy of reproduction in measurements and the longevity of all components is guaranteed. With the projector various stripe patterns are projected in quick succession on the object and are recorded by the CCD camera. The geometry of the object is measured through mathematical combinations of the stripe patterns.

Measurement extent

The measurement extent of the system can be configured by the user with minimal effort. The lower bound on the measurement extent is essentially controlled by the lens used.
In the standard configuration the smallest measurement extent is approximately 100mm x 100mm. The measurement extent's upper limit is constrained only by the obtainable contrast of the projector on the object surface.
In the standard configuration, measurement extents of 1000mm x 1000mm and even higher are attainable under favorable lighting conditions. For large measurement extents it is recommended that the ambient light in the environment is reduced. For measurement extents smaller than 100mm an exchange of the sensor's lens is recommended. This allows for the measurement extent to be shrunken to 60mm x 60mm.


Standard lens (150mm) Alternate lens (100mm)
Measurement extent [mm]² Measurement distance [mm] Measurement extent [mm]² Measurement distance [mm]
100 x 100 500 60 x 60 260
200 x 200 702 100 x 100 312
300 x 300 944 150 x 150 379
400 x 400 1186 200 x 200 445
500 x 500 1460 250 x 250 511
750 x 750 2033 300 x 300 577
1000 x 1000 2683 350 x 350 643
1500 x 1500 3850 400 x 400 710
2000 x 2000 5060 500 x 500 842
Table 1: Measurement extent for standard and alternate lenses.

Measurement precision

The measurement precision of the 3D sensor scales in correspondence with the measurement extent.
One must however differentiate between the lateral resolution and the depth resolution. The lateral resolution is a direct result of the resolution of the camera and affects the spacing of the measured points along the object surface.
The depth resolution is a result of the measuring method and is approximately 5 times the lateral resolution. A camera with a 1000 pixel resolution results in a relative precision of the 3D sensor of approximately 1:5000.
For the smallest measurement extent (100mm x 100mm) a precision of 0.02mm in depth and a lateral point spacing of 0.1mm results.
For a measurement extent of 1000mm x 1000mm a precision of 0.2mm in depth and a lateral point spacing of 1mm results.
The connection between camera resolution, measurement extent, and point spacing is tabulated in table 2.


Characteristics of the sensor head Resolution for
100 / 500 / 1000 mm picture field
sensor head

resolution
grid size

shot speed in seconds lateral resolution in [mm] depth resolution in [mm]
High-Res 1280 x 960 4.8 sec. 0.08 / 0.39 / 0.78 0.015 / 0.078 / 0.15
Standard 1024 x 768 2.4 sec 0.10 / 0.49 / 0.98 0.020 / 0.098 / 0.20
Fast 780 x 580 1.2 sec. 0.13 / 0.64 / 0.41 0.026 / 0.128 / 0.26
Ultra-Fast 640 x 480 0.6 sec. 0.16 / 0.78 / 1.56 0.031 / 0.156 / 0.31
Table 2: Resolution and measurement accuracy of the sensor head.

According to the characteristics of the object surface the actual precision may vary slightly. With QTSculptor the precision can be controlled during registration.

Object size

The object size can be smaller or larger than the measurement area. Small objects can be measured with the precision cited for the smallest possible measurable area 100mm x 100mm (with the standard lens).
For larger objects the complexity of the complete acquisition of an object increases according to the number of necessary range images that must be taken.
The standard configuration is suitable for objects between 30mm and 2000mm.

Number of range images

The number of range images that must be taken is affected by the size and complexity of the object in question.
For objects whose size fits within the measurement extent, between 15 and 30 range images are typically necessary for the complete acquisition of the object. This number of course also depends on the complexity of the object. For instance, 8 views at an angle from above, 8 views at an angle from underneath, 1 from directly above, and 1 from directly below might suffice for a typical object.
For larger objects the number of views grows accordingly. Very large datasets consisting of several hundred views can be processed by QTSculptor without a problem.

Measurement time

The minimal time required to acquire a range image is defined by the sensor head. The minimal times are given in table 2.
In order to measure very difficult surfaces (e.g. dark) the time required for a shot may increase. This maximizes the measurable area and depending on the nature of the surface can improve the data quality.


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