WO2008091691A1 - Method and apparatus for quantitative 3-d imaging - Google Patents
Method and apparatus for quantitative 3-d imaging Download PDFInfo
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- WO2008091691A1 WO2008091691A1 PCT/US2008/000991 US2008000991W WO2008091691A1 WO 2008091691 A1 WO2008091691 A1 WO 2008091691A1 US 2008000991 W US2008000991 W US 2008000991W WO 2008091691 A1 WO2008091691 A1 WO 2008091691A1
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
- H04N13/00—Stereoscopic video systems; Multi-view video systems; Details thereof
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
- H04N13/00—Stereoscopic video systems; Multi-view video systems; Details thereof
- H04N13/20—Image signal generators
- H04N13/204—Image signal generators using stereoscopic image cameras
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B11/00—Measuring arrangements characterised by the use of optical techniques
- G01B11/24—Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B11/00—Measuring arrangements characterised by the use of optical techniques
- G01B11/24—Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures
- G01B11/25—Measuring arrangements characterised by the use of optical techniques for measuring contours or curvatures by projecting a pattern, e.g. one or more lines, moiré fringes on the object
- G01B11/2509—Color coding
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
- H04N25/00—Circuitry of solid-state image sensors [SSIS]; Control thereof
Definitions
- the present invention is related to a quantitative visualization system and, more specifically, to a system for obtaining additional information from an object through surface and three-dimensional imaging.
- Three-dimensional (3-D) imaging is a continuously evolving field that could benefit from improved imaging techniques.
- Enhanced 3-D imaging could be used for a variety of purposes, such as to generate quantitative information about an imaged object (through quantitative 3-D imaging).
- existing imaging techniques have failed to sufficiently support quantitative 3-D imagining. For example, when a point that is not on the focal plane of an imaging system is imaged through the imaging system, the captured point detected by a sensor is said to be defocused. If the imaging system has a large aperture, then the defocused point will appear blurred. For this reason, it has been suggested that the blur of the image of a point can be used to quantitatively determine the distance from that point to the focal plane in space.
- the imaging system could be used for quantitative 3-D imaging.
- To reconstruct the 3-D position of a point it is only necessary to measure the size and/or intensity of the blur disc (Z) and the point position on the sensor (X, Y).
- point B's image will be measured as having a smaller diameter than point A's simply because it does not rise as far from the background illumination in the scene.
- the original "defocusing" concept recognized that in such a blur-based system, the depth information is carried only by the marginal (outer) rays of the ray pencil that forms the image. See, for example, Willert, C. E.; and Gharib, M.,
- off-axis apertures means that reconstruction of a point's position in space now involves finding all the images of a single point on the sensor and measuring the distance between them.
- the images will appear in the same pattern as the aperture arrangement; for example, if three small apertures arranged as vertices of an equilateral triangle are used, then the image of a defocused point is three small spots arranged in an equilateral triangle.
- the orientation of the images' triangle relative to the apertures' triangle reveals whether the defocused point is ahead of or in front of the focal plane.
- the size of the images' triangle relates to the distance between the defocused point and the focal plane.
- the size of the triangle is 0 for a focused point which occurs when all three images are on top of each other.
- the size of the triangle increases as the amount of defocus increases. Multiple small images take up less space on the sensor than one large blurred one, so the overlap problem is alleviated by this arrangement.
- the matching problem in the reconstruction generates a new problem; if the object being imaged is a set of featureless points, then the images are indistinguishable and can only be matched according to their relative location (for example, finding all dots on an image that form equilateral triangles within some tolerance). This relatively loose matching criterion necessitates that three or more apertures be used to reduce the number of mismatches or "ghosts.”
- a single off-axis aperture records depth information; however, Z cannot be separated from the in-plane position of the point imaged.
- Two apertures record the depth information and allow the in-plane position to be extracted independently of Z.
- it is impossible to reconstruct a random point cloud with only two apertures because many ghost particles are generated when images are mismatched.
- With three apertures mismatches are reduced and the sign of the distance from the particle to the focal plane is known by the orientation of the triangle formed by the images. See, for example, Willert, C. E.; and Gharib, M., "Three-dimensional particle imaging with a single camera," Experiments in Fluids, 1992, 12, 353-358.
- the original practical implementation of the defocusing concept consists of a single lens with three off-axis apertures imaging onto a single monochromatic sensor (i.e., three was deemed the minimum number of apertures that produced acceptable results). It should be noted that because the defocusing measurement is in fact a measurement of a point's position relative to the focal plane, it is necessary to know the position of the device to know the absolute position of desired point. [016]
- the three off- axis apertures imaging onto a single monochromatic sensor also has disadvantages. Overcrowding of the sensor is still an issue when the point density within the scene is high.
- the addition of more sensors has the disadvantages of higher cost and larger size (along with manufacturing complications) relative to a single-sensor system.
- a charge-coupled device CCD
- multiple-sensor arrangements pose alignment challenges and robustness challenges; the multiple sensors are also differently affected by temperature, vibration, and other environmental effects and as such are more prone to calibration errors.
- the apparatus comprises: a single-lens device for three-dimensional imaging of a surface of an object, comprising: a lens; a plurality of filtering apertures obstructing the lens and configured such that light that is reflected from a surface of an object passes through the lens and the filtering apertures and is filtered to become filtered information of the surface; a sensor operable for capturing the filtered information of the surface; and a processor communicatively connected with the sensor for receiving the filtered information of the surface from the sensor and further configured to produce a surface image, the surface image being representative of the surface of the object.
- the plurality of filtering apertures includes at least two apertures that are color-coded.
- the apparatus further comprising a multi-wavelength addressable pattern projector for projecting a pattern on the surface of the object.
- the apparatus further comprises a multi-wavelength addressable pattern physically placed on the surface of the object.
- the plurality of filtering apertures includes at least two apertures that are polarization-coded and the sensor is configured to receive polarization- coded information.
- the apparatus further comprises a multi-wavelength addressable pattern projector for projecting a pattern on the surface of the object.
- the apparatus further comprises a multi-wavelength addressable pattern physically placed on the surface of the object.
- the plurality of filtering apertures includes at least two apertures that are each shape-coded.
- the apparatus further comprises a multi-wavelength addressable pattern projector for projecting a pattern on the surface of the object.
- the multi-wavelength addressable pattern is selected from a group consisting of a sequence of colors, a sequence of shapes, and a sequence of locations.
- the apparatus further comprises a multi-wavelength addressable pattern physically placed on the surface of the object.
- the plurality of filtering apertures includes at least two apertures are time-coded.
- the apparatus further comprises a multi-wavelength addressable pattern projector for projecting a pattern on the surface of the object.
- the multi-wavelength addressable pattern is selected form a group consisting of a sequence of colors, a sequence of shapes, and a sequence of locations.
- the apparatus further comprises a multi-wavelength addressable pattern physically placed on the surface of the object.
- the apparatus comprises a single-lens device for three dimensional imaging of the surface of an object comprising: a lens; a plurality of filtering apertures obstructing the lens and configured such that light that is reflected from a surface of an object passes through the lens and the filtering apertures and is filtered to become filtered information of the object surface; an addressable pattern for placing addressable pattern information on the surface of the object; a sensor operable for capturing the filtered information and addressable pattern information of the object surface; and a processor communicatively connected with the sensor for receiving the filtered information of the surface from the sensor and further configured to produce a surface image, the surface image being representative of the surface of the object.
- the addressable pattern is a projected from a multi- wavelength addressable pattern projector.
- the plurality of filtering apertures selectively filters light onto a light sensor.
- the addressable pattern is produced by a plurality of multi- wavelength filters, whereby depth information is obtained from a multi- wavelength image by evaluating the distance of a marker in the different color image.
- the apparatus comprises a single-lens device for three dimensional imaging of the surface of an object comprising: a lens; a first color filtering aperture and a second color filtering aperture configured such that light that is reflected from a surface of an object passes through the first color filtering aperture and the second color filtering aperture and is filtered to become filtered information of the object surface; an addressable pattern projector configured to project an addressable pattern for placing addressable pattern information on the surface of the object; a sensor operable for capturing the filtered information and addressable pattern information of the object surface;; and a processor communicatively connected with the sensor for receiving the filtered information of the surface from the sensor and further configured to produce a surface image, the surface image being representative of the surface of the object.
- FIG. 7C is an illustration of an acquired image and partial grid
- Optical modifications to the multiple-aperture arrangement physically mask and convey filtered information to the sensor in such a way that each aperture produces a separable image for reconstructing an object surface.
- the aperture mask may be modified by altering the shape of the aperture, by coding the transmittance of the aperture, or providing a single-slit mask whose hole moves about the aperture plane during or between exposures.
- Each of the aperture masks provides additional information which aides in representing the desired features of an object.
- the band-pass filter system 100 includes a lens 102, a mask 104 having a red aperture 106 and a green aperture 108, and a sensor 1 10. Although shown as a red and green aperture 106 and 108 respectively, any number and combination of color filtered aperture may be used in combination with an appropriate sensor 110. Thus, while the apertures are referred to specifically as the color red and green apertures 106 and 108, they are not intended to be limited thereto and could alternatively be referred to as a first aperture, a second aperture, and so forth.
- any number and combination of different shape-filtered apertures may be used.
- suitable shapes include convex polyhedrons, concave polyhedrons, circular shapes, polyforms, and combinations thereof.
- the differentially-shaped aperture system 300 produces two representations 314 and 316 of the illuminated object 312 per exposure. Each shape 314 and 316 detected by the sensor 310 corresponds to the shape of the respective aperture
- the position of the single-hole mask 404, whose aperture 406 moves about the aperture plane between exposures, is recorded by the processor 410.
- the moving aperture 406 transmits light 416 and produces a first point 414 detected by the sensor 408.
- the first position information of the moving aperture 406 during the first exposure is recorded by the processor 410.
- the moving aperture 406 is moved to the second position B.
- the moving aperture 406 transmits light 418 and produces a second point 420 detected by the sensor 408.
- the second position information of the moving aperture 406 during the second exposure is recorded by the processor 410.
- FIG. 5B an image 520 acquired from the sensor 508 of a single- aperture multiple f-stop system 500 is shown. Within the frame 522 of the image 520, multiple plots 524, 526, 528, and 530 with different Z-coordinates are shown. Although shown as an image 520, the information depicted may also be conditioned and sent via a signal to a processor 510 for processing.
- the multiple f- stop streaks 524, 526, 528, and 530 are used to calculate the Z-to-L relationship.
- An example of matched points 532, 534, 536, and 538 determined by a processor 510 are shown in FIG. 5D.
- the processor 510 connected with the sensor 508 may be used to collect the raw data obtained from the sensor.
- the processor 510 then may use the Z-to-L relationships in order to calculate the depth information of each detected f-stop streaks 524, 526, 528, and 530.
- the processor 510 may then be used to generate a representation of the object from the depth information of each illuminated point 512.
- An illuminated object 512 may be reconstructed by selectively allowing reflected rays 514 to pass through the lens and the long and narrow slit-aperture 506 of the mask 504.
- the single-aperture system 500 uses a moving aperture 506, effectively simulating the effect of having a different f-number in two directions.
- the moving aperture 506 controllably oscillates right to left in the direction of A and B (or in any other suitable direction)
- the net displacement of the moving aperture 506 from A to B produces a low f-number.
- the low f-number of this lateral movement from A to B generates a large variance disc 516 on the sensor 508.
- a first window 612 of the multi-window electronic aperture 606 transmits light 618 and produces a first point 620 detected by the sensor 608.
- the first open window 612 position information is recorded by the processor 610.
- a second window of the multi- window electronic aperture 606 is opened.
- a second window 622 of the multi-window electronic aperture 606 transmits light 624 and produces a second point 626 detected by the sensor 608.
- the second open window 622 position information is recorded by the processor 610.
- the first point 620 and first open window 612 position information and second point 626 and second position open window 622 position information are then used to match the first point 620 from the first exposure with the information of the second point 626.
- Pattern Matching If the object of interest is a surface whose shape is to be matched, a pattern of markers may be projected on the surface and the points in the detected image may be sampled by measuring the relative position of the projected markers. The sensor's allowable upper density limit of imaged dots is the imaging system's limit. Once the points are identified in each view, there is only the question of whether the same point exists in both views. In another aspect, if the volume to be mapped contains a cluster of asymmetrical cells in a volume, then the shape and orientation of the cells can be used as an additional constraint in the inter- view matching, thus reducing the chance that a mismatch can occur. This aspect is referred to as "feature matching".
- FIG. 7A an illustration of an addressable template pattern 700 suitable for projection onto the surface of the object of interest is shown.
- the addressable template pattern 700 is projected or physically placed on the target surface and then captured by an imaging system at varying distances (Z) from the object.
- the addressable template pattern 700 is in the form of a grid pattern with a distinguishable center point 702.
- FIG. 7A A non-limiting example of a suitable addressable template pattern 700 is illustrated in FIG. 7A.
- the addressing algorithm has some tolerance to allow for deformation of the addressable pattern 704 (See FIG. 7B and FIG. 7C). The deformation of the addressable pattern 704 is noticeable when contrasted with the original addressable template pattern 700 (See FIG. 7A). Further, the addressing algorithm can also account for missing entities 706, 708, 710, and 712 in the acquired image 704. Missing information is considered missing when a point on the addressable template pattern 700 does not appear in the addressable pattern 704.
- Non-limiting examples of suitable inherent properties include but are not limited to the frequency, frequencies, or polarization of coded transmitted light detected images.
- the system 844 comprises a silvered prism 846, a first sensor 848 and second sensor 850 behind a mask and two-slit aperture 852.
- the silvered prism 846 offsets the first bundle of incoming light 854 from the two-slit aperture 852 such that light transmitted through the silvered prism
- light 846 may be detected by the first sensor 848.
- light 856 which has passed through two-slit aperture 852 may also be detected separately on the second sensor 850.
- FIG. 8D a three CCD-sensor assembly system 858 is shown.
- light 872 which has passed through the two-slit aperture 852 may also be detected separately on the green sensor 864.
- FIG. 8E is a narrow-band mirror sensor assembly system 874 is shown.
- the system 874 comprises a narrow-band mirror 876, located behind a mask and two-slit aperture 878, and a first sensor 880 and second sensor 882.
- the system narrow-band mirror 876 offsets the first bundle of incoming light 884 from the two-slit aperture 878 such that light transmitted through the narrow-band mirror 876 may be detected by the first sensor 880.
- light 886 which has passed through the two-slit aperture 878 may be detected separately on the second sensor 882.
- Any lens can be represented by two "principal planes.” The location of the planes is only a function of the lens, and all principal rays (which define the image centerline for a point) behave as if they entered the first principal plane and exited the second principal plane at the axis.
- a diffraction grating with the desired pattern can be made and positioned such that the beams from the laser projector coincide with the principal rays of the imaged dots.
- the projected pattern will look as though it does not move in the image even when the distance between the projected dot and the focal plane of the imaging lens changes. This makes searching for the addressable pattern much easier even if some dots are not imaged.
- a complex ray trace through a compound lens (where the ray kinks at every air/glass interface) can be mathematically represented as two planes at which the rays kink.
- the left image shows the "real" ray trace
- the right image shows the mathematical representation of such lens.
- the planes are found by taking any chief (also called principal) ray coming into the first glass interface and leaving the last glass interface and extending them to intersect the axis of the lens. The intersection marks the location of the planes.
- the centroid of that match can be found. Knowing that the pattern is never expanding laterally, it is known where the centroid of every other point on the pattern should be, which should aid in "addressing" the points.
- the projected pattern 918 will look as though it does not move in the detected image, even when the distance between the projected point 912 and the focal plane 920 of the imaging lens 906 changes. This makes identifying an addressable pattern 918 much easier, even if some points (e.g., dots) are missing.
- Imaging Methods Referring to FIG. 10, a flow chart depicting the steps of acquiring and processing images to develop a two dimensional or three dimensional representation of the surface of an object is shown. Any single-lens device may be built or modified to include an imaging lens, an aperture configured to generate distinguishable images, a sensor, and a processor.
- the aperture may be used in a number of ways to code information received by the sensor.
- suitable methods by which light may be coded in order to produce distinguishable images 1020 on the sensor include but are not limited to: filtering transmitted light according to light characteristics (such as filtering by wavelength or polarization), transmitting light as a function of time such that the distinguishable images are allowed to pass through the aperture as a function of time; or physically altering the shape of the aperture to comprise a series of different shapes from which transmitted light through the aperture produces distinguishable shape-based images.
- a step may be also be implemented which aides the system in determining whether or not to acquire additional images 1030.
- the step may further be augmented to weigh the suitability of an acquired image. For example, an image detected by a sensor which suffered from excess movement during the exposure may be discarded by the algorithm. In this case, the last acquired image would be discarded and the process would be repeated with the illumination of the object 1000.
- the received image may be suitable for processing; however, more image acquisition images are needed 1030.
- a further decision can be added to further augment the algorithm. An example of which would be to add a decision to determine whether or not the viewpoint of the imaging system should be adjusted 1040. If the position of the imaging device or the desired area of the object needs to be shifted, either the imaging system or the target object may be altered to adjust the viewpoint 1050.
- the information may be fed to an algorithm which uses the distance information to generate a representation (e.g., 3-D mapping) of the object 1070.
- a representation e.g., 3-D mapping
- An imaging device acquires an addressable-pattern template image at an initial position.
- the addressable-pattern template image typically has a finite number of points in the X, Y, and Z-planes.
- the position of the imaging device is then adjusted and a second addressable-pattern template image is acquired at second position. Precautions may be taken such that an adjusted position determined to exceed motion constraints are ignored.
- the second position, or adjusted position is related to the initial imaging device position by a six-variable solid translation and rotation.
- the adjusted position is related to the initial position by the fact that the image captured at the new position overlaps in part with the first template image and has a substantially similar number of points.
- the points outside the addressable-pattern template image outer hull may be disregarded.
- a plurality of inner hulls of the points in the addressable-pattern surface image is also generated.
- the inner hull is a function of a maximum acceptable displacement between acquisitions within the intersection of the plurality of hulls, according to the six-variable solid-body translation and rotation.
- the error may be calculated from the difference between a point on the addressable-pattern surface image and the addressable-pattern template image.
- the addressable-pattern information is processed using a matching algorithm.
- the matching algorithm is configured to determine the distance between each point on the addressable-pattern surface image and its corresponding point on the addressable-pattern template image.
- Each of the matched points is then merged from the plurality of inner hulls according to their solid-body translations and rotations to form a high-resolution data set.
- the point clouds are merged according to their solid-body translations and rotations.
- An algorithm that uses the addressable pattern information may also be adapted to determine whether or not enough matching points exist to recover the features of the target object.
- the high-resolution point cloud can be used to generate or output a high-resolution surface (nurbs, meshes, etc.) with or without interpolation via standard algorithms or commercial packages, such as Geomagic Studio.
- Geomagic Studio is produced by Geomagic, located at 3200 East Hwy 54, Cape Fear
- FIG. 1 a flow chart depicting the use of an addressable pattern to aide in image reconstruction is shown.
- the use of an addressable pattern during surface feature acquisition is one way of bypassing the correspondence search employed in a separable-viewpoint three-dimensional imaging system.
- the process begins with the acquisition of a number of images, each of the images containing (being illuminated with) an addressable pattern 1100. Each image is typically taken from a different viewpoint, although the addressable pattern is static with respect to the contours of the object's surface. Each of the plurality of images comprising at least a portion of the addressable pattern information and at least one point representing at least one aspect of the target object. It will be appreciated that an object may include a variety of points on the object. Each point may provide important information with respect to the eventual reconstruction of the object. [0156] An address is assigned to each point in the image 11 10. In general the addressable pattern provides a sequence or series of plots on the object which may be referenced to assist in the addressing step 11 10.
- the addressable pattern need not be symmetrical or contain a regular sequence of markers or images.
- suitable addressable pattern information may include a color sequence pattern, a pattern comprising differently shaped object, a position sequence pattern, distinguishable object features or object landmarks, or any combination thereof.
- the addressable pattern image may be placed on the surface of the object in a variety of ways.
- suitable methods include: projecting the addressable pattern image onto the surface of the object; physically placing an addressable pattern image onto the surface of the object; and using the features inherent to the object being imaged as a source.
- a step may be also be implemented which aides the system in determining whether or not to acquire additional images 1120.
- the step may further be augmented to weigh the suitability of an acquired image. For example, an image detected by a sensor which suffered from excess movement during the exposure may be discarded by the algorithm. In this case, the last acquired image would be discarded and the process would be repeated with the illumination of the object 1100..
- the received image with an addressable pattern may be suitable for processing; however, more image acquisition images are needed to reconstruct the object.
- a further decision process can be added to further augment the algorithm. An example of which would be to add a decision to determine whether or not the viewpoint of the imaging system should be adjusted 1130. If the position of the imaging device or the desired area of the object needs to be shifted, either the imaging system or the target object may be altered to adjust the viewpoint 1 140.
- the relationship amongst points, or point information, within each image is used to calculate or determine the relative or absolute distance information for each point.
- the information may be fed to an algorithm which uses the distance information to generate a representation of the object 1160.
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AU2008209445A AU2008209445A1 (en) | 2007-01-22 | 2008-01-22 | Method and apparatus for quantitative 3-D imaging |
CA002676249A CA2676249A1 (en) | 2007-01-22 | 2008-01-22 | Method and apparatus for quantitative 3-d imaging |
KR1020097016694A KR20090107536A (en) | 2007-01-22 | 2008-01-22 | Method and apparatus for quantitative 3-d imaging |
KR1020097016693A KR20090104857A (en) | 2007-01-22 | 2008-01-22 | Method and apparatus for quantitative 3-d imaging |
JP2009547304A JP5167279B2 (en) | 2007-01-22 | 2008-01-22 | Method and apparatus for quantitative three-dimensional imaging |
EP08724808A EP2106532A1 (en) | 2007-01-22 | 2008-01-22 | Method and apparatus for quantitative 3-d imaging |
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AU2008209445A1 (en) | 2008-07-31 |
WO2008091639A2 (en) | 2008-07-31 |
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