CN103673890B - Length and cylinder area measurement method based on digital image analysis - Google Patents
Length and cylinder area measurement method based on digital image analysis Download PDFInfo
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- CN103673890B CN103673890B CN201310553006.7A CN201310553006A CN103673890B CN 103673890 B CN103673890 B CN 103673890B CN 201310553006 A CN201310553006 A CN 201310553006A CN 103673890 B CN103673890 B CN 103673890B
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Abstract
The invention discloses a kind of length measurement methods based on digital image analysis, comprising: establishes camera system, and a camera shooting background plane is arranged；Obtain measured number image；The measured number image is handled, amplification factor M is calculated；The perimeter curve of the tested plane is sketched the contours of on the measured number image, and calculates the measurement length of the perimeter curve；By the measurement length of the perimeter curve divided by the amplification factor M, the perimeter length of the tested plane is obtained；Calculate length correction coefficient；The perimeter length of the tested plane is modified, the perimeter length of the tested plane is obtained.The present invention also provides a kind of cylinder area measurement method, the perimeter length obtained using measurement and its cylinder width obtain the cylinder area of testee, have the advantages that easy, accuracy is high and applied widely, and accurately measure out the area of curved surface.
Description
Technical field
The present invention relates to electronic measuring technology field more particularly to a kind of length and cylinder surveys based on digital image analysis
Amount method.
Background technique
It requires to measure the length or surface area of irregular pattern object in many situations, such as monitors and survey activity
In map area calculate, the calculating of plant blade area in botany research, the calculating of lesion area in medicine shaping, imitate
Contact area in the calculating, the detection of food contact material migration amount of harmful substances of contact area in true ornaments nickel burst size detection
Calculate etc..
Currently, the method for measurement length or the area of plane can substantially be divided into manual measuring method and electronics skill there are many kind
Art mensuration.Manual spectrometry device is simple, operation is easy, but time-consuming and laborious, and accuracy of measurement is low；Electronic technology mensuration
High degree of automation, accuracy and reproducible, will be used wider and wider general.It is surveyed using digital camera imaging and related software
The amount area of plane is one kind of electronic technology mensuration, and this method has easy, accurate, continuous, non-destructive, low in cost etc.
Advantage, the basic principle is that the principle directly proportional to area using pixel value, by being taken with digital camera in reference to background
Object in environment, and using computer to Digital Image Processing, parameter used is calculated to obtain.
But technical solution in the prior art be only applicable to measurement plane area, be unable to measure curved surface perimeter and
Area.
Summary of the invention
The technical problem to be solved in the invention is: propose a kind of length measurement method based on digital image analysis, and
Utilize the resulting length of curve of measurement；And a kind of surface area measurement method is proposed according to the length measurement method, calculating obtains
The cylinder area for obtaining the cylinder testee that bottom surface is arbitrary plane shape, improves the accuracy of measurement and expansion of surface area
The scope of application of surface area.
The present invention provides a kind of length measurement method based on digital image analysis, comprising the following steps:
S1: establishing camera system, and a camera shooting background plane is arranged；
S2: testee is placed on the camera shooting background plane, and makes tested plane and the institute of the testee
It is parallel to state camera shooting background plane；
S3: being imaged using camera shooting background plane of the camera system to the tested plane and its surrounding, is obtained
Measured number image；
S4: handling the measured number image, sketches the contours physical length known to one on the measured number image
Reference curve, calculate the reference measure length of the reference curve, and the reference measure length of the reference curve is removed
Using the physical length of the reference curve as amplification factor M；
S5: the perimeter of the tested plane is sketched the contours of along the boundary of the tested plane on the measured number image
Curve, and calculate the measurement length of the perimeter curve；
S6: by the measurement length of the perimeter curve divided by the amplification factor M, the perimeter for obtaining the tested plane is long
Degree；
S7: length correction coefficient is calculated；
S8: being modified according to perimeter length of the length correction coefficient to the tested plane, and the perimeter is long
Degree obtains the perimeter length of the tested plane divided by the length correction coefficient.
In a kind of achievable mode, the step S7 specifically:
S101: the pick-up lens distance L of the camera shooting background plane and the camera system is measuredGinseng；
S102: the tested plane and the camera shooting background plane distance x are measured0；
S103: the length correction coefficient is calculated according to the following formula:
Wherein, p1For length correction coefficient, parameter LMeshFor the tested plane and the camera system of the testee
The distance of pick-up lens, and its sizes values is parameter LGinsengWith parameter x0Difference.
In the achievable mode of another kind, the step S7 specifically:
S201: the incidence relation of distance x and the length correction coefficient are established；The distance x be any tested plane with
The distance of the camera shooting background plane, and the tested plane is parallel with the camera shooting background plane；
S202: measure presently described testee tested plane and the camera shooting background plane distance x1；
S203: according to the incidence relation and the distance x of the distance x and the length correction coefficient1, calculate
The length correction coefficient p2。
Further, the step S201 includes:
S301: it is imaged using datum plane of the camera system to perimeter known to one；
S302: by repeatedly adjusting the datum plane and the camera shooting background plane distance x, it is using the camera shooting
System is respectively imaged the datum plane, corresponding to absorb several reference digital images；
S303: the reference digital images described in each width execute the step S4~S6, obtain the more of the datum plane
A reference measurement perimeter；
S304: the perimeter of each described reference measurement perimeter and the datum plane is subjected to quotient's operation, is calculated
Obtain the measured value p(x of multiple perimeter correction factors)；
S305: to the distance x and the measured value p(x) carry out conic fitting, obtain the distance x with it is described
Measured value p(x) quadratic function relation formula.
Further, the step S203 specifically:
According to the distance x and the measured value p(x) quadratic function relation formula, by the distance x1Substitute into described two
Secondary functional relation calculates the perimeter correction factor p2。
Technical solution of the present invention additionally provides a kind of cylinder area measurement method, for measuring the testee of cylinder body shape
Cylinder area, which comprises
S401: testee is measured using the length measurement method based on digital image analysis described in any one described above
Any bottom surface perimeter length；
S402: the cylinder width of the testee is measured；
S403: the cylinder area of the testee is calculated: by the perimeter length multiplied by the cylinder width
Cylinder area as the testee.
Implement technical solution of the present invention, has the following beneficial effects:
The digital picture that tested plane is obtained using camera system, is not strict with camera system, it is easy to accomplish and
Operation；Image analysis processing is carried out using digital picture of the computer software tool to intake, known to obtain tested plane one
The reference length of the reference curve of physical length calculates the amplification factor M of digital picture；It is sketched the contours using computer software tool
The perimeter curve along side boundary of the tested plane of any shape, obtains the measurement length of tested plane, and utilizes times magnification
Number M corrects it for the first time；Further, the length correction coefficient for calculating this method, to the perimeter length of tested plane
Second-order correction is carried out, the precision and accuracy of length of curve measurement are improved.Technical solution of the present invention is also using being calculated
Tested plane perimeter length, calculate the cylinder area (side using the tested plane as the cylinder testee of bottom surface
Product), a kind of method for measuring surface area is proposed, has simplicity, non-destructive, the degree of automation and accuracy high, applicable
The wide advantage of range.
Detailed description of the invention
Fig. 1 is the method flow of the first embodiment of the length measurement method provided by the invention based on digital image analysis
Figure；
Fig. 2 is the structural schematic diagram for the camera system that first embodiment of the invention provides；
Fig. 3 is the schematic diagram for the measured number image that first embodiment of the invention provides；
Fig. 4 is the bent in the selected reference curve of measured number image and tested plane perimeter of first embodiment of the invention offer
Line schematic diagram；
Fig. 5 is a kind of method flow of the achievable mode for the measurement length correction coefficient that first embodiment of the invention provides
Figure；
Fig. 6 is that another of measurement length correction coefficient that second embodiment of the invention provides can realize the method stream of mode
Cheng Tu；
Fig. 7 is the method flow of the foundation distance x that second embodiment of the invention provides and length correction coefficient incidence relation
Figure；
Fig. 8 is a kind of flow diagram for cylinder area measurement method that third embodiment of the invention provides.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
It is the side of the first embodiment of the length measurement method provided by the invention based on digital image analysis referring to Fig. 1
Method flow chart.
In the present embodiment, the length measurement method based on digital image analysis the following steps are included:
Step S1: establishing camera system, and a camera shooting background plane is arranged.
It is the structural schematic diagram for the camera system that first embodiment of the invention provides referring to Fig. 2.Specifically, camera system
Including video camera 10 and camera shooting background plane 20, testee is placed on camera shooting background plane 20.Further, camera system
It may include the bracket 30 for carrying video camera 10, when it is implemented, a hole can be arranged on bracket 30, and by video camera 10
It is fixed on described hole.It should be noted that bracket 30 provided in an embodiment of the present invention can for arbitrarily can by video camera 10 into
The fixed shape and structure of row, therefore the shape and structure of bracket 30 is not limited.
When it is implemented, camera shooting background plane 20 can be used and be printed on the white paper of the grid of marshalling and be realized,
And be printed on white paper M row N column 1cm*1cm(centimetres) grid, M and N are all larger than zero, in order to which the later period is to video camera 10
Captured digital picture is handled, and reference picture is obtained.It should be noted that the embodiment of the present invention is not to the big of grid
It is small to be limited.
In the present embodiment, in order to obtain better shooting effect, the image of testee, the shooting are clearly obtained
System can further comprise the devices such as lighting system.
Step S2: testee is placed on the camera shooting background plane 20, and makes the tested flat of the testee
Face is parallel with the camera shooting background plane 20.Specifically, testee is three-dimensional shape, has multiple outer surfaces, therefore
The horizontal plane for needing to control tested plane is parallel with the camera shooting horizontal plane of background plane 20.
Step S3: using the camera system to the camera shooting background plane 20 of the tested plane and its surrounding carry out at
Picture obtains measured number image.
It referring to Fig. 3, is the schematic diagram for the measured number image that first embodiment of the invention provides.
When it is implemented, when being shot using the video camera 10 in camera system to tested plane, as shown in figure 3, by
The tested plane should be at least completely covered in the coverage for surveying digital picture.
In actual shooting process, background plane is imaged from the tested plane of testee and is in different horizontal planes
On, video camera 10 will make tested plane form clear image using tested plane as target adjustment focal length and image distance.Due to focusing
Face is before photosensitive element, therefore measured number image thickens and amplifies, and therefore, the boundary of measured number image also will
It is amplified.
Amplified according to the size of video camera imaging principle, the picture size enlargement ratio and camera shooting background plane that are tested plane
The ratio of multiplying power is equal to the ratio of the object distance of camera shooting background plane and the object distance of tested plane, unrelated with other factors.It is imaging
When the object distance of background plane and tested plane is fixed, it is tested the size enlargement ratio and camera shooting background plane of the target image of plane
Reference picture size enlargement ratio ratio be definite value, i.e., camera shooting background plane object distance divided by tested plane object distance.
In the present embodiment, the horizontal plane as where being tested plane is parallel with the horizontal plane where camera shooting background plane,
I.e. the two is identical as the angle of camera lens, and the object distance of the object distance and tested plane that image background plane is respectively to image background
Therefore the distance of the subpoint of plane and tested plane on camera lens main shaft to optical center is tested the target of plane
The ratio of the size enlargement ratio of the reference picture of the size enlargement ratio and camera shooting background plane of image and tested plane are in mirror
Projection on head main shaft is inversely proportional with the mirror heart at a distance from, with image background plane at a distance from projection and the mirror heart on lens principal axis
It is directly proportional, it is unrelated with other factors.Therefore, to obtain the perimeter length of tested plane, the length obtained to measurement is needed
It is modified.
Step S4: handling the measured number image, sketches the contours on the measured number image practical known to one
The reference curve of length calculates the reference measure length of the reference curve, and the reference measure of the reference curve is long
Degree is divided by the physical length of the reference curve as amplification factor M.
It is reference curve and tested plane perimeter curve synoptic diagram that first embodiment of the invention provides referring to Fig. 4.
In the present embodiment, physical length L known to one is chosen on measured number image0Reference curve l1, and utilize meter
Associated software tool in calculation machine or Other Instruments calculates reference curve l1Reference length L1.When it is implemented, such as Fig. 4 institute
Show, due to being printed on the grid of known length size on camera shooting background plane, can be on measured number image along grid
Side length sketches the contours of the reference curve l1, then reference curve l is completed1Selection when you can learn that its physical length L0。
Step S5: the tested plane is sketched the contours of along the boundary of the tested plane on the measured number image
Perimeter curve l2, and calculate the measurement length of the perimeter curve.
In the present embodiment, it is preferred to use CorelDRAW software is to reference curve l1Reference length L1, the perimeter it is bent
Line l2Measurement length L2.When it is implemented, sketching the contours the reference curve l using " freehand tool " of CorelDRAW software1With
The perimeter curve l of the tested plane2, utilize " ellipse tool " along the reference curve l1With the perimeter curve l2It draws
Circle, and the axial length of circle is respectively set, and reconcile to multiple circles of curve using " reconciliation tool ", to adjust circle
Step-length then calculates reference curve l using the axial length of circle, step-length and step-length lap1With perimeter curve l2Length
Degree.
Step S6: by the measurement length L of the perimeter curve2Divided by the amplification factor M, the tested plane is obtained
Perimeter length LWeek。
For example, reference curve l is carried out using CorelDRAW software1Measurement when, by being set to CorelDRAW software
It sets, and along reference curve l1Carry out the axial length d that can get information circle when curve is delineated1, step-length z1With step-length overlap length
b1, then reference curve l can be calculated1Reference length L1=(z1+2-b1) * d1；Similarly, by being set to CorelDRAW software
It sets, and along perimeter curve l2Carry out the axial length d2, step-length z2 and the step-length overlap length that can get information circle when curve is delineated
B2 can then calculate perimeter curve l2Measurement length L2=(z2+2-b2) * d2.Therefore, number is carried out using the camera system
Amplification factor M=L of image taking1/L0=(z1+2-b1) * d1/L0；According to the amplification factor M to the measurement perimeter of tested plane
It is corrected for the first time, then can get the perimeter length L of tested planeWeek=L2/ M=[(z2+2-b2) * d2]*L0/ [(z1+2-b1) * d1]。
It should be noted that the present invention uses the software tool handled measured number image to include but be not limited to
CorelDRAW software.
Step S7: length correction coefficient is calculated.
Step S8: according to the length correction coefficient to the perimeter length L of the tested planeWeekIt is modified, it will be described
Perimeter length obtains the perimeter length L of the tested plane divided by the length correction coefficientIt is real。
It is a kind of side of the achievable mode for the computational length correction factor that first embodiment of the invention provides referring to Fig. 5
Method flow chart.
In the case where ideal measures environment, the step S7 specifically:
Step S101: measuring the camera shooting background plane and the pick-up lens distance L of the camera system joins；
Step S102: the tested plane and the camera shooting background plane distance x are measured0；
Step S103: the length correction coefficient is calculated according to the following formula:
Wherein, p1For length correction coefficient, parameter LMeshFor the tested plane and the camera system of the testee
The distance of pick-up lens, and its sizes values is parameter LGinsengWith parameter x0Difference.
Length measurement method provided in an embodiment of the present invention based on digital image analysis, the requirement letter to camera system
It is single, it realizes and is easy, operate light；And the digital picture of tested plane is analyzed and processed, select real area known to one
Reference curve calculates the amplification factor of image captured by the camera system, and calculates length correction coefficient to tested plane
Measurement length is modified, and to obtain accurate perimeter length, has easy, accuracy high and applied widely etc. excellent
Point.
It is that another of the computational length correction factor that second embodiment of the invention provides can realize mode referring to Fig. 6
Method flow diagram.
In second embodiment of the invention, the length measurement method and first embodiment based on digital image analysis
Basic principle it is identical, be with the distinctive points of first embodiment: the present embodiment is proposed in computational length correction factor
The achievable mode of another kind.
Specifically, the realization step of the computational length correction factor of the present embodiment use includes:
Step S201: the incidence relation of distance x and the length correction coefficient are established；The distance x is any tested flat
Face is at a distance from the camera shooting background plane, and the tested plane is parallel with the camera shooting background plane；
Step S202: measure presently described testee tested plane and the camera shooting background plane distance x1；
Step S203: according to the incidence relation and the distance x of the distance x and the length correction coefficient1, meter
Calculate the length correction coefficient p2。
It is the method for foundation distance x and length correction coefficient incidence relation that second embodiment of the invention provides referring to Fig. 7
Flow chart.
Preferably, the method that mathematical statistics can be used in the step S201 is realized, comprising:
Step S301: it is imaged using datum plane of the camera system to perimeter known to one；
Step S302: it by repeatedly adjusting the datum plane and the camera shooting background plane distance x, is taken the photograph using described
It is corresponding to absorb several reference digital images as system is respectively imaged the datum plane；
Step S303: the reference digital images described in each width execute the step S4~S6, obtain the datum plane
Multiple reference measurement perimeters；
Step S304: carrying out quotient's operation for the perimeter of each described reference measurement perimeter and the datum plane,
Calculate the measured value p(x for obtaining multiple perimeter correction factors)；
Step S305: to the distance x and the measured value p(x) carry out conic fitting, obtain the distance x with
The measured value p(x) quadratic function relation formula.
When it is implemented, camera system shown in Fig. 2 can be used, to the body surface known to one along side perimeter as benchmark
Plane carries out linear measure longimetry, obtains perimeter length with the situation of change of distance x.
For example, use a perimeter for L0The square upper surface of=30cm is measured as datum plane, by this duration
Degree correction factor is set as 1；Square upper surface is denoted as x away from the distance of camera shooting background plane, repeatedly adjusts the big of x at certain intervals
It is small, and its image is shot respectively, image is handled using CorelDRAW X4 software, the perimeter for measuring tested plane is long
The length correction coefficient p(x of degree and corresponding change), data statistics is as shown in table 1.
1 length correction coefficient p(x of table) with the relationship of distance x
Wherein, parameter x is benchmark plane at a distance from camera shooting background plane, unit cm；LGinsengIt is taking the photograph in camera system
Camera lens are at a distance from camera shooting background plane；Parameter L0For the perimeter length of benchmark plane, unit cm；It L(x is) logical
Cross the measurement measurement perimeter length for the datum plane that software is calculated, unit cm；It p(x is) length correction coefficient, and p(x)
=L(x)/L0。
With parameter x and parameter p(x) carry out quadratic fit, obtain p(x) and x relational expression are as follows: p(x)=0.0072x2+
0.0366x+1.013, fitting precision R2=0.9978.Thus relation formula can calculate with the camera system in a manner described
Shoot the corresponding length correction coefficient p(x of any distance x value when testee image) value.
Further, distance x and the measured value p(x are calculated by step S304) quadratic function relation formula after, institute
State step S203 specifically:
According to the distance x and the measured value p(x) quadratic function relation formula, by the distance x1Substitute into described two
Secondary functional relation calculates the perimeter correction factor p2。
It should be noted that length measurement method provided by the invention includes but is not limited to the week for being used to measure tested plane
Length；When it is implemented, this method can also be used for measuring the length of the arbitrary curve in tested plane.
The present embodiment is using the meaning that the method for mathematical statistics calculates length correction coefficient: different camera systems
With different performance parameters, the complexity of camera lens leads to L(x) etc. parameters exact value non-availability, and shooting obtain
Digital picture deformation and the reasons such as distortion, cause to exist between the theoretical value and actual value of length correction coefficient it is certain partially
Difference affects the accuracy of result.By this method to the Fitting Calculation of length correction coefficient, avoids in first embodiment and adopt
With the error of the fixed value under ecotopia, but according to the different values for adapting to adjustment length correction coefficients of distance x, greatly limit
Degree ground reduces system deviation, further improves the accuracy of linear measure longimetry.
Technical solution of the present invention additionally provides a kind of cylinder area measurement method, is implemented using first embodiment and second
The plane obtained measured by example measures the cylinder area of the testee of cylinder body shape along side perimeter length.
It is a kind of flow diagram for cylinder area measurement method that third embodiment of the invention provides referring to Fig. 8.
3rd embodiment provides a kind of cylinder area measurement method, the cylinder of the testee for measuring cylinder body shape
Area, which comprises
Step S401: using any bottom surface of the method measurement testee any one of provided by above embodiments
Perimeter length；Specifically, when the bottom surface of the testee of the tested cylinder body shape of measurement is along side perimeter, measuring principle
Identical as the first embodiment or the second embodiment, details are not described herein.
Step S402: the cylinder width of the testee is measured.
Step S403: the cylinder area of the testee is calculated: by the perimeter length multiplied by the cylinder
Cylinder area of the width as the testee.
In the present embodiment, two bottom surfaces up and down of testee should be parallel horizontal plane, and the shape of two bottom surfaces
Correspondence is identical, but cylinder area measurement method provided by the invention does not make any limit along side shape to the bottom surface of testee
System, therefore, the bottom surface of testee can have Arbitrary groove profile boundary, i.e. the cylinder of testee can be irregular side
It is projected as the curved surface of rectangle, therefore the method that third embodiment of the invention provides is realized to the curved surface progress essence with certain rule
Quasi- area measurement.
The above is a preferred embodiment of the present invention, it is noted that for those skilled in the art
For, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications are also considered as
Protection scope of the present invention.
Claims (3)
1. a kind of length measurement method based on digital image analysis, which comprises the following steps:
S1: establishing camera system, and a camera shooting background plane is arranged；
S2: testee is placed on the camera shooting background plane, and takes the photograph the tested plane of the testee with described
As background plane is parallel；
S3: it is imaged, is tested using camera shooting background plane of the camera system to the tested plane and its surrounding
Digital picture；
S4: handling the measured number image, and the ginseng of physical length known to one is sketched the contours on the measured number image
Curve is examined, calculates the reference measure length of the reference curve, and by the reference measure length of the reference curve divided by institute
The physical length of reference curve is stated as amplification factor M；
S5: the perimeter for sketching the contours of the tested plane along the boundary of the tested plane on the measured number image is bent
Line, and calculate the measurement length of the perimeter curve；
S6: by the measurement length of the perimeter curve divided by the amplification factor M, the perimeter length of the tested plane is obtained；
S7: length correction coefficient is calculated；
S201: the incidence relation of distance x and the length correction coefficient are established；The distance x be any tested plane with it is described
The distance of background plane is imaged, and the tested plane is parallel with the camera shooting background plane；The step S201 includes:
S301: it is imaged using datum plane of the camera system to perimeter known to one；S302: described by repeatedly adjusting
Datum plane and the camera shooting background plane distance x, are respectively imaged the datum plane using the camera system,
It is corresponding to absorb several reference digital images；S303: the reference digital images described in each width execute the step S4~S6, obtain
Multiple reference measurement perimeters of the datum plane；S304: by each described reference measurement perimeter and the datum plane
Perimeter carries out quotient's operation, calculates the measured value p (x) for obtaining multiple perimeter correction factors；S305: to the distance x and institute
It states measured value p (x) and carries out conic fitting, obtain the quadratic function relation formula of the distance x and the measured value p (x)；
S202: measure presently described testee tested plane and the camera shooting background plane distance x1；
S203: according to the incidence relation and the distance x of the distance x and the length correction coefficient1, calculate the length
Spend correction factor p2；The step S203 specifically: according to the quadratic function relation of the distance x and the measured value p (x)
Formula, by the distance x1The quadratic function relation formula is substituted into, the perimeter correction factor p is calculated2；
S8: it is modified according to perimeter length of the length correction coefficient to the tested plane, the perimeter length is removed
With the length correction coefficient, the perimeter length of the tested plane is obtained.
2. as described in claim 1 based on the length measurement method of digital image analysis, which is characterized in that the step S7 tool
Body are as follows:
S101: the pick-up lens distance L of the camera shooting background plane and the camera system is measuredGinseng；
S102: the tested plane and the camera shooting background plane distance x are measured0；
S103: the length correction coefficient is calculated according to the following formula:
Wherein, p1 For length correction coefficient, parameter LMeshFor the camera shooting of the tested plane and the camera system of the testee
The distance of camera lens, and its sizes values is parameter LGinsengWith parameter x0Difference.
3. a kind of cylinder area measurement method, which is characterized in that for measuring the cylinder area of the testee of cylinder body shape, institute
The method of stating includes:
S401: the perimeter using any bottom surface such as any one of claim 1~2 the method measurement testee is long
Degree；
S402: the cylinder width of the testee is measured；
S403: calculate the cylinder area of the testee: using the perimeter length multiplied by the cylinder width as
The cylinder area of the testee.
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| CN108413864B (en) * | 2017-02-10 | 2020-07-17 | 菜鸟智能物流控股有限公司 | Object size measuring method and related equipment |
| CN109870126A (en) * | 2017-12-05 | 2019-06-11 | 宁波盈芯信息科技有限公司 | A kind of area computation method and a kind of mobile phone for being able to carry out areal calculation |
| CN108240793A (en) * | 2018-01-26 | 2018-07-03 | 广东美的智能机器人有限公司 | Dimension of object measuring method, device and system |
| CN113607119A (en) * | 2021-07-26 | 2021-11-05 | 中国船舶重工集团公司第七0三研究所 | Method for measuring throat area of marine gas turbine blade based on characteristic dimension |
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| CN102721404A (en) * | 2012-06-07 | 2012-10-10 | 南京航空航天大学 | Non-contact distance measurement device using digital camera and measurement method |
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| CN1393719A (en) * | 2001-06-25 | 2003-01-29 | 麦克奥迪实业集团有限公司 | Autoamtic calibration method |
| CN101769723A (en) * | 2008-12-30 | 2010-07-07 | 鸿富锦精密工业（深圳）有限公司 | Electronic device and object shape parameter measurement method thereof |
| CN101502346A (en) * | 2009-01-22 | 2009-08-12 | 东华大学 | Practical convenient automatic measurement method of width and thickness dimension of human body for dress |
| CN101982729A (en) * | 2010-08-27 | 2011-03-02 | 中国计量学院 | Rack measuring method by utilizing image method |
| CN102721404A (en) * | 2012-06-07 | 2012-10-10 | 南京航空航天大学 | Non-contact distance measurement device using digital camera and measurement method |
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