CN104182969A - Internal and external parameter calibration method of single-scanline camera - Google Patents
Internal and external parameter calibration method of single-scanline camera Download PDFInfo
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- CN104182969A CN104182969A CN201410387553.7A CN201410387553A CN104182969A CN 104182969 A CN104182969 A CN 104182969A CN 201410387553 A CN201410387553 A CN 201410387553A CN 104182969 A CN104182969 A CN 104182969A
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Abstract
The invention discloses an internal and external parameter calibration method of a single-scanline camera. According to a fact that the inner product of rotation parameter matrixes in an external parameter matrix is two, link between an internal parameter lumped parameter and a homography matrix lumped parameter is derived, a constraint equation is established, and calibration board target point coordinates (X,Y,Z) are utilized to reach an imaging point coordinate (u) to obtain a multiple target point to lineup point homography matrix which is substituted into the constraint equation so as to calculate the internal and external parameters of the single-scanline camera.
Description
Technical field
The invention belongs to camera calibration field, relate to a kind of single line array camera inside and outside parameter scaling method.
Background technology
The demarcation of video camera is three-dimensional geometry position and its mutual relationship between corresponding point in image of determining certain point of space object surface.That the image coordinate of being put by known features and world coordinates solve the parameter model of video camera according to the geometric model of the video camera imaging of setting up.Camera calibration is unusual the key link, and the precision of its calibration result and the stability of algorithm are by the accuracy that directly affects video camera work and bear results.Therefore, improving camera calibration precision is the emphasis of camera calibration.
The report that relevant line-scan digital camera is demarcated is less.Can only imaging a line due to the each imaging of single line array camera, single line battle array imaging model is different from traditional area array cameras imaging model, causes the inside and outside parameter computing method that are applicable to area array cameras not to be suitable for single line array camera.Existing single line array camera inside and outside parameter equation of constraint is more complicated, need to ask its a plurality of impact points just can ask for a plurality of unknown parameters in equation of constraint to going out corner homography matrix.Therefore, according to the imaging model of single line array camera, set up simple and effective equation of constraint, be reduced to picture number of times, there is real researching value and actual application value.
Summary of the invention
The object of this invention is to provide a kind of single line array camera inside and outside parameter scaling method, the method equals two according to rotation parameter matrix inner product in outer parameter matrix, derive in intrinsic parameter contacting of parameter in parameter and homography matrix, set up equation of constraint, utilize scaling board coordinate of ground point (X, Y, Z) to imaging point coordinate (u), obtain a plurality of impact points to going out corner homography matrix, substitution equation of constraint, and then calculate the inside and outside parameter of single line array camera.
For achieving the above object, a kind of single line array camera inside and outside parameter scaling method, the step of the method is as follows:
Step 1, according to area array cameras imaging model, derive single line array camera imaging model, obtain homography matrix H model
Step 2, according to single line array camera imaging model, derive Intrinsic Matrix A and the outer parameter matrix of single line array camera
;
Step 3, according to rotation parameter matrix inner product in outer parameter matrix, equal two, derive in intrinsic parameter A contacting of parameter in parameter and homography matrix H
;
Step 4, calculating
matrix, and establish B
11, B
12, B
22replace
parameter in matrix, substitution
, obtain
;
Step 5, choose 3 above scaling board coordinate of ground points (X, Y, Z) to imaging point coordinate (u), calculate 3 above H matrixes, substitution
formula, uses least square method to obtain B
11, B
12, B
22value.
Step 6, according to B
11, B
12, B
22calculate Intrinsic Matrix A, then Intrinsic Matrix A, appoint and get a H matrix obtaining, calculate outer parameter matrix
;
In described step (11), the derivation of homography matrix H model is as follows:
Step 1, area array cameras imaging model
Step 2, can only imaging a line due to each imaging of single line array camera, therefore according to area array cameras imaging model, can obtain
Step 3, backstepping again, can obtain
,
,
Therefore
.
The invention has the beneficial effects as follows: the computing method of single line array camera inside and outside parameter of the present invention, the inner link in the line-scan digital camera imaging model rotation matrix that employing the present invention releases
, and
the symmetric matrix forming, forms the equation that transfinites
.As long as choose 3 above scaling board coordinate of ground points (X, Y, Z) to imaging point coordinate (u), just can obtain 3 H matrixes above, set up three equations, ask for B parameter 11, B12, B22, and then obtain the inside and outside parameter of single line array camera.This method system is simple, and it is few that unknown parameter is asked for, the significant and practical value of the application of demarcating for single line array camera.
Accompanying drawing explanation
Fig. 1 is the inventive method schematic flow sheet.
Embodiment
In order to understand better technical scheme of the present invention, below in conjunction with accompanying drawing, embodiments of the present invention are described in detail.
As shown in Figure 1, the present invention equals two according to rotation parameter matrix inner product in outer parameter matrix, derive in intrinsic parameter contacting of parameter in parameter and homography matrix, set up equation of constraint, utilize scaling board coordinate of ground point (X, Y, Z) to imaging point coordinate (u), obtain a plurality of impact points to going out corner homography matrix, substitution equation of constraint, and then calculate the inside and outside parameter of single line array camera.
Specific embodiment of the invention is as follows:
1. according to area array cameras imaging model, derive single line array camera imaging model, obtain homography matrix H model
Step 1: area array cameras imaging model
Step 2: can only imaging a line due to each imaging of single line array camera, therefore according to area array cameras imaging model, can obtain
Step 3: backstepping again, can obtain
Step 4: therefore
2. according to single line array camera imaging model, derive Intrinsic Matrix A and the outer parameter matrix of single line array camera
;
Step 1: the imaging model that comprises inside and outside parameter of area array cameras
,
Step 2: can only imaging a line due to each imaging of single line array camera, therefore according to area array cameras imaging model, can obtain
Therefore
,
3. according to rotation parameter matrix inner product in outer parameter matrix, equal two, derive in intrinsic parameter A contacting of parameter in parameter and homography matrix H
Step 1: due to
, can obtain
or
or
or
or
Here
Step 2: due to
, will
,
,
substitution, can obtain
4. calculate
matrix, and establish B
11, B
12, B
22replace
parameter in matrix, substitution
, obtain
;
Step 1: calculate
Step 2: set B
11, B
12, B
22three parameter replacements
parameter in matrix,
Step 3: by B substitution
,
Step 4: due to
,
,
,
, and
,
5. choose 3 above scaling board coordinate of ground points (X, Y, Z) to imaging point coordinate (u), calculate 3 above H matrixes, substitution
formula, uses least square method to obtain B
11, B
12, B
22value.
6. according to B
11, B
12, B
22calculate Intrinsic Matrix A, then Intrinsic Matrix A, appoint and get a H matrix obtaining, calculate outer parameter matrix
;
Step 1: establish
, by
,
Step 2: will
,
substitution A, obtains Intrinsic Matrix A
Step 3: appoint and get a H matrix obtaining, by A, H substitution
, can obtain
, further substitution
,
,
,
, can obtain outer parameter matrix
.
Although embodiment has been described in detail the present invention, those of ordinary skill in the art is to be understood that, technical scheme of the present invention is modified or is equal to replacement, do not depart from the spirit and scope of technical solution of the present invention, it all should be encompassed in the middle of claim scope of the present invention.
Claims (2)
1. a single line array camera inside and outside parameter scaling method, is characterized in that:
Step 1, according to area array cameras imaging model, derive single line array camera imaging model, obtain homography matrix H model
Step 2, according to single line array camera imaging model, derive Intrinsic Matrix A and the outer parameter matrix of single line array camera
;
Step 3, according to rotation parameter matrix inner product in outer parameter matrix, equal two, derive in intrinsic parameter A contacting of parameter in parameter and homography matrix H
;
Step 4, calculating
matrix, and establish B
11, B
12, B
22replace
parameter in matrix, substitution
, obtain
;
Step 4, choose 3 above scaling board coordinate of ground points (X, Y, Z) to imaging point coordinate (u), calculate 3 above H matrixes, substitution
formula, uses least square method to obtain B
11, B
12, B
22value;
Step 5, according to B
11, B
12, B
22calculate Intrinsic Matrix A, then according to Intrinsic Matrix A, appoint and get the H matrix that step 4 obtains, calculate outer parameter matrix
.
2. a kind of single line array camera inside and outside parameter scaling method according to claim 1, is characterized in that: homography matrix H model-composing method in described step 1,
Step 1, area array cameras imaging model
;
Each imaging a line of step 2, single line array camera, according to area array cameras imaging model, obtains
;
Step 3, to the model backstepping in step 2, can obtain
,
Therefore,
.
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CN105865326A (en) * | 2015-01-21 | 2016-08-17 | 成都理想境界科技有限公司 | Object size measurement method and image database data acquisition method |
CN106023193A (en) * | 2016-05-18 | 2016-10-12 | 东南大学 | Array camera observation method for detecting structure surface in turbid media |
CN107133986A (en) * | 2017-04-26 | 2017-09-05 | 武汉科技大学 | A kind of camera calibration method based on two-dimensional calibrations thing |
CN108428252A (en) * | 2018-03-14 | 2018-08-21 | 河南科技大学 | A kind of single line array camera distortion scaling method |
CN109272574A (en) * | 2018-09-10 | 2019-01-25 | 武汉大学 | Linear array rotary scanning camera imaging model building method and scaling method based on projective transformation |
CN110060305A (en) * | 2019-04-12 | 2019-07-26 | 河南科技大学 | A kind of high-precision simplified style line-scan digital camera scaling method |
CN110298892A (en) * | 2019-07-05 | 2019-10-01 | 河南科技大学 | A kind of single line array camera inside and outside parameter scaling method |
CN112797900A (en) * | 2021-04-07 | 2021-05-14 | 中科慧远视觉技术(北京)有限公司 | Multi-camera plate size measuring method |
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Cited By (14)
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CN105865326A (en) * | 2015-01-21 | 2016-08-17 | 成都理想境界科技有限公司 | Object size measurement method and image database data acquisition method |
CN106023193A (en) * | 2016-05-18 | 2016-10-12 | 东南大学 | Array camera observation method for detecting structure surface in turbid media |
CN106023193B (en) * | 2016-05-18 | 2018-06-19 | 东南大学 | A kind of array camera observation procedure detected for body structure surface in turbid media |
CN107133986B (en) * | 2017-04-26 | 2019-08-20 | 武汉科技大学 | A kind of camera calibration method based on two-dimensional calibrations object |
CN107133986A (en) * | 2017-04-26 | 2017-09-05 | 武汉科技大学 | A kind of camera calibration method based on two-dimensional calibrations thing |
CN108428252A (en) * | 2018-03-14 | 2018-08-21 | 河南科技大学 | A kind of single line array camera distortion scaling method |
CN109272574B (en) * | 2018-09-10 | 2020-04-10 | 武汉大学 | Construction method and calibration method of linear array rotary scanning camera imaging model based on projection transformation |
CN109272574A (en) * | 2018-09-10 | 2019-01-25 | 武汉大学 | Linear array rotary scanning camera imaging model building method and scaling method based on projective transformation |
CN110060305A (en) * | 2019-04-12 | 2019-07-26 | 河南科技大学 | A kind of high-precision simplified style line-scan digital camera scaling method |
CN110060305B (en) * | 2019-04-12 | 2022-09-30 | 河南科技大学 | High-precision simplified linear array camera calibration method |
CN110298892A (en) * | 2019-07-05 | 2019-10-01 | 河南科技大学 | A kind of single line array camera inside and outside parameter scaling method |
CN110298892B (en) * | 2019-07-05 | 2022-10-11 | 河南科技大学 | Method for calibrating internal and external parameters of single-line-array camera |
CN112797900A (en) * | 2021-04-07 | 2021-05-14 | 中科慧远视觉技术(北京)有限公司 | Multi-camera plate size measuring method |
CN112797900B (en) * | 2021-04-07 | 2021-07-06 | 中科慧远视觉技术(北京)有限公司 | Multi-camera plate size measuring method |
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