Structured-light 3D scanner

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File:1-stripesx7.svg
Triangulation principle shown by one of multiple stripes

A structured-light 3D scanner is a device for measuring the three-dimensional shape of an object using projected light patterns and a camera system.[1]

Principle

Projecting a narrow band of light onto a three-dimensionally shaped surface produces a line of illumination that appears distorted from other perspectives than that of the projector, and can be used for an exact geometric reconstruction of the surface shape (light section).

A faster and more versatile method is the projection of patterns consisting of many stripes at once, or of arbitrary fringes, as this allows for the acquisition of a multitude of samples simultaneously. Seen from different viewpoints, the pattern appears geometrically distorted due to the surface shape of the object.

Although many other variants of structured light projection are possible, patterns of parallel stripes are widely used. The picture shows the geometrical deformation of a single stripe projected onto a simple 3D surface. The displacement of the stripes allows for an exact retrieval of the 3D coordinates of any details on the object's surface.

Generation of stripe patterns

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Two planar beams interfering

Two major methods of stripe pattern generation have been established: Laser interference and projection.

The laser interference method works with two wide planar laser beam fronts. Their interference results in regular, equidistant line patterns. Different pattern sizes can be obtained by changing the angle between these beams. The method allows for the exact and easy generation of very fine patterns with unlimited depth of field. Disadvantages are high cost of implementation, difficulties providing the ideal beam geometry, and laser typical effects like speckle noise and the possible self interference with beam parts reflected from objects. Also typically there is no means of modulating individual stripes, e.g. with Gray codes (see below).

Fringe pattern recording system with 2 cameras (avoiding obstructions)

The projection method uses non coherent light and basically works like a video projector. Patterns are generated by a display within the projector, typically an LCD (liquid crystal) or LCOS (liquid crystal on silicon) display.

A proprietary projection method uses DLP (moving micro mirror) displays. DLP displays do not absorb light significantly and therefore allow very high light intensities. They also have an extremely linear gray value reproduction, as they are steered by pulse length modulation.

Principally, stripes generated by display projectors have small discontinuities due to the pixel boundaries in the displays. Sufficiently small boundaries however can practically be neglected as they are evened out by the slightest defocus.

A typical measuring assembly consists of one stripe projector and at least one camera. For many applications, two cameras on opposite sides of the projector have been established as useful.

Invisible (or Imperceptible) Structured Light[2] is a technique to utilize structured light without interfering with other computer vision tasks for which the projected pattern will be confusing. Example methods include the use of infrared light or of extremely high framerates alternating between two exact opposite patterns.

Calibration

File:13-stripes-s.png
By projection of a sequence of binary coded stripe patterns, the subsequent light levels for each scene pixel are forming a unique binary word revealing the individual stripe number. To minimize the effect of bit errors, the stripe patterns are designed to change only one bit per stripe (Gray codes)
File:14-phasec.jpg
At least 3 phase shifted gray gradient patterns are needed for a precision analysis of position from the gray values. Three simultaneous color patterns are also used in certain applications.
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With a raster display, a continuous gray level curve (sine wave) has to be approximated in steps. The curve is significantly smoothed by the resolution restrictions of the optics. Upper harmonics remaining can be eliminated in the course of analysis (Fourier transform e.g.).

Geometric distortions by optics and perspective must be compensated by a calibration of the measuring equipment, using special calibration patterns and surfaces. A mathematical model is used to describe the imaging properties of projector and cameras. Essentially based on the simple geometric properties of a pinhole camera, the model also has to take into account the geometric distortions and optical aberration of projector and camera lenses. The parameters of the camera as well as its orientation in space can be determined by a series of calibration measurements, using photogrammetric bundle adjustment.

Analysis of stripe patterns

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Distorted stripe pattern on an object and 3D reconstruction, by the example of a tool cutting edge (edge radius of a few micrometers). Precision rounding of blade edges is important, as an edge too sharp would easily develop disruptions and tool lifetime would be greatly reduced.

There are several depth cues contained in the observed stripe patterns. The displacement of any single stripe can directly be converted into 3D coordinates. For this purpose, the individual stripe has to be identified, which can for example be accomplished by tracing or counting stripes (pattern recognition method). Another common method projects alternating stripe patterns, resulting in binary Gray code sequences identifying the number of each individual stripe hitting the object. An important depth cue also results from the varying stripe widths along the object surface. Stripe width is a function of the steepness of a surface part, i.e. the first derivative of the elevation. Stripe frequency and phase deliver similar cues and can be analyzed by a Fourier transform. Finally, the wavelet transform has recently been discussed for the same purpose.

In many practical implementations, series of measurements combining pattern recognition, Gray codes and Fourier transform are obtained for a complete and unambiguous reconstruction of shapes.

Another method also belonging to the area of fringe projection has been demonstrated, utilizing the depth of field of the camera ((Univ. of Stuttgart)). It is also possible to use projected patterns primarily as a means of structure insertion into scenes, for an essentially photogrammetric acquisition.

Precision and range

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Grinded microstructure derived by fringe projection (scale in micrometers)
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Precision measurement of planarity on the sealing face of a motor oilpan (resolution <10 μm)

The optical resolution of fringe projection methods depends on the width of the stripes used and their optical quality. It is of course also limited by the wavelength of light. An extreme reduction of stripe width proves inefficient due to limitations in depth of field, camera resolution and display resolution. Therefore the phase shift method has been widely established: A number of at least 3, typically about 10 exposures are taken with slightly shifted stripes. The first theoretical deductions of this method relied on stripes with a sine wave shaped intensity modulation, but the methods works with "rectangular" modulated stripes, as delivered from LCD or DLP displays as well. By phase shifting, surface detail of e.g. 1/10 the stripe pitch can be resolved. Current optical stripe pattern profilometry hence allows for detail resolutions down to the wavelength of light, below 1 micrometer in practice or, with larger stripe patterns, to approx. 1/10 of the stripe width. Concerning level accuracy, interpolating over several pixels of the acquired camera image can yield a reliable height resolution and also accuracy, down to 1/50 pixel.

Arbitrarily large objects can be measured with accordingly large stripe patterns and setups. Practical applications are documented involving objects several meters in size.

Typical accuracy figures are:

  • Planarity of a 2ft. (60 cm) wide surface, to 10 μm.
  • Shape of a motor combustion chamber to 2 μm (elevation), yielding a volume accuracy 10 times better than with volumetric dosing.
  • Shape of an object 2" large, to about 1 μm
  • Radius of a blade edge of e.g. 10 μm, to ±0.4 μm

Navigation

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Object with navigation markers and projected fringes
File:6-seat.jpg
3D survey of a car seat

As the method can measure shapes from one perspective only at a time, complete 3D shapes have to be combined from different measurements in different angles. This can be accomplished by attaching marker points to the object and combining perspectives afterwards by matching these markers. The process can be automated, by mounting the object on a motorized turntable or CNC positioning device. Markers can as well be applied on a positioning device instead of the object itself.

The 3D data gathered can be used to retrieve CAD (computer aided design) data and models from existing components (reverse engineering), hand formed samples or sculptures, natural objects or artifacts.

Limitations

As with all optical methods, reflective or transparent surfaces raise difficulties. Reflections cause light to be reflected either away from the camera or right into its optics. In both cases, the dynamic range of the camera can be exceeded. Transparent or semi-transparent surfaces also cause major difficulties. In these cases, coating the surfaces with a thin opaque lacquer just for measuring purposes is a common practice. For measuring entirely reflective surfaces, the alternative method of fringe reflection has been implemented. Alternative optical techniques have been proposed for handling perfectly transparent and specular objects [3].

Double reflections and inter-reflections can cause the stripe pattern to be overlaid with unwanted light, entirely eliminating the chance for proper detection. Reflective cavities and concave objects are therefore difficult to handle. It is also hard to handle translucent materials, such as skin, marble, wax, plants and human tissue because of the phenomenon of sub-surface scattering. Recently, there has been an effort in the computer vision community to handle such optically complex scenes by re-designing the illumination patterns [4]. These methods have shown promising 3D scanning results for traditionally difficult objects, such as highly specular metal concavities and translucent wax candles [5].

Speed

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Inline inspection of circuit boards

Although several patterns have to be taken per picture in most structured light variants, high-speed implementations are available for a number of applications, for example:

  • Inline precision inspection of components during the production process.
  • Health care applications, such as live measuring of human body shapes or the micro structures of human skin.

Motion picture applications have been proposed, for example the acquisition of spatial scene data for three-dimensional television.

Applications

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Precision gauging of a turbine blade
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Combustion volume measurement by fringe projection, valves digitally inserted
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Skin surface microstructure and profile taken by fringe projection
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Face shape acquisition
  • The Kinect-Camera from Microsoft is the first consumer-grade application. It uses a pattern of projected infrared-Points to generate a dense 3D-Image.
  • Made to measure fashion retailing
  • Precision shape measurement for production control (e.g. turbine blades)
  • Reverse engineering (obtaining precision CAD data from existing objects)
  • Volume measurement (e.g. combustion chamber volume in motors)
  • Classification of grinding materials and tools
  • Precision structure measurement of grinded surfaces
  • Radius determination of cutting tool blades
  • Precision measurement of planarity
  • Documenting objects of cultural heritage
  • Skin surface measurement for cosmetics and medicine
  • Body shape measurement
  • Forensic science inspections
  • Road pavement structure and roughness
  • Wrinkle measurement on cloth and leather
  • Measurement of topography of solar cells (see reference W J Walecki, et al. 2008)

Books

  • Fringe 2005, The 5th International Workshop on Automatic Processing of Fringe Patterns Berlin: Springer, 2006. ISBN 3-540-26037-4 ISBN 978-3-540-26037-0

References

  1. ^ Borko Furht (2008). Encyclopedia of Multimedia (2nd ed.). Springer. p. 222. ISBN 9780387747248.
  2. ^ A comparative survey on invisible structured light
  3. ^ Template:Cite article
  4. ^ Template:Cite article
  5. ^ Template:Cite article
  • Elena Stoykova, Jana Harizanova, Venteslav Sainov: Pattern Projection Profilometry for 3D Coordinates Measurement of Dynamic Scenes. In: Three Dimensional Television, Springer, 2008, ISBN 978-3-540-72531-2
  • W J Walecki, F Szondy and M M Hilali, "Fast in-line surface topography metrology enabling stress calculation for solar cell manufacturing for throughput in excess of 2000 wafers per hour" 2008 Meas. Sci. Technol. 19 025302 (6pp) doi:10.1088/0957-0233/19/2/025302