CN102486869A - Calibration method of linear array camera - Google Patents

Calibration method of linear array camera Download PDF

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Publication number
CN102486869A
CN102486869A CN2010105719126A CN201010571912A CN102486869A CN 102486869 A CN102486869 A CN 102486869A CN 2010105719126 A CN2010105719126 A CN 2010105719126A CN 201010571912 A CN201010571912 A CN 201010571912A CN 102486869 A CN102486869 A CN 102486869A
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function
camera
array camera
linear array
sigma
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王剑彬
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Abstract

The embodiment of the invention provides a calibration method of a linear array camera and is used for improving the positioning precision of a touch screen or an electronic white board on the basis of the linear array camera. The method comprises the steps of: obtaining an image position coordinate p of a touch object and an included angle Alpha between a reference line of an optical main point and a connecting line of the position of the touch object with the object space optical main point of the camera; respectively mapping p and Alpha to a specified interval in a linear mapping mode, obtaining a function which has a unique inverse function, establishing a function relationship, taking the effective pixel value interval of the camera to be [0, V), selecting m groups of (x-y) corresponding relationships of (x1, y1), (x2, y2) to (xm, ym), and making the (x-y) corresponding relationships meet the function; and determining parameters ak when the function error is the minimum according to the known m groups of (x-y) corresponding relationships of (x1, y1), (x2, y2) to (xm, ym).

Description

A kind of scaling method of linear array camera
Technical field
The present invention relates to the touching technique field, relate in particular to a kind of scaling method of linear array camera.
Background technology
The purpose of optical touch screen or optical electron blank camera calibration is the parameter for the camera imaging model of confirming the geometric relationship between description image coordinate system and touch area coordinate system.As shown in Figure 1, be the synoptic diagram of linear array camera calibration, some A is for touching the object position, and A ' is for touching imaging in the online battle array of the object camera, and some O is the optics principal point of linear array camera.It is exactly the corresponding relation of confirming between some A ' position and the angle α that this linear array camera is demarcated.
The inventor finds, existing linear array camera calibration method can't satisfy touch-screen or electronic whiteboard to locating high-precision requirement.
Summary of the invention
The embodiment of the invention provides a kind of scaling method of linear array camera, to improve the bearing accuracy based on the touch-screen or the electronic whiteboard of linear array camera.
The embodiment of the invention provides a kind of scaling method of linear array camera, and this method comprises:
Obtain the position coordinates p of the picture that touches object and touch the angle between the datum line of line and the said optics principal point of mistake of object position and camera object space optics principal point;
Adopt the linear mapping mode that p and α are mapped to respectively between designation area, obtain function
Figure BSA00000371829100011
and this function and have unique inverse function
Figure BSA00000371829100012
Set up funtcional relationship
Figure BSA00000371829100021
Get
Figure BSA00000371829100022
Wherein camera valid pixel value interval is that [0, V), selection m organizes x-y corresponding relation (x 1, y 1), (x 2, y 2) ..., (x m, y m), make it satisfy above-mentioned function;
According to known m group x-y corresponding relation (x 1, y 1), (x 2, y 2) ..., (x m, y m), function
Figure BSA00000371829100023
Error hour definite parameter a k
The embodiment of the invention provides a kind of scaling method of linear array camera, has improved the bearing accuracy based on the touch-screen or the electronic whiteboard of linear array camera through this method.
Description of drawings
Fig. 1 is the synoptic diagram of linear array camera calibration;
The process flow diagram of the scaling method of a kind of linear array camera that Fig. 2 provides for the embodiment of the invention.
Embodiment
The embodiment of the invention provides a kind of scaling method of linear array camera, in order to improve the bearing accuracy based on the touch-screen or the electronic whiteboard of linear array camera.
As shown in Figure 2, the process flow diagram of the scaling method of a kind of linear array camera that the embodiment of the invention provides, this method comprises:
S2001 obtains the position coordinates p of the picture that touches object and touches the angle between the datum line of line and the said optics principal point of mistake of object position and camera object space optics principal point.
S2002; Adopt the linear mapping mode that p and α are mapped to respectively between designation area, obtain function
Figure BSA00000371829100024
and this function and have unique inverse function
S2003 sets up funtcional relationship Get
Figure BSA00000371829100032
Wherein camera valid pixel value interval is that [0, V), selection m organizes x-y corresponding relation (x 1, y 1), (x 2, y 2) ..., (x m, y m), make it satisfy above-mentioned function.
S2004 is according to known m group x-y corresponding relation (x 1, y 1), (x 2, y 2) ..., (x m, y m), function
Figure BSA00000371829100033
Error hour definite parameter a k
The error function of function y (x) is:
Figure BSA00000371829100034
Can confirm parameter a according to following method k:
Function y (x) is a polynomial function, a k(0≤k≤n) is a parameter;
According to the above-mentioned m (group of m>n) x-y corresponding relation (x 1, y 1), (x 2, y 2) ..., (x m, y m), and satisfy: y k=y 1(x k) (0≤k≤m), x k((0≤k≤m), error function hour,
Structure n+1 rank square formations
Structure n+1 dimensional vector
Figure BSA00000371829100036
Wherein: a i , j = Σ k = 1 m x l i + j , b i = Σ k = 1 m x k i y k ;
Parameter vector then:
Figure BSA00000371829100039
Also can confirm parameter a according to following method k:
Function y (x) is a polynomial function, a k(0≤k≤n) is a parameter;
According to the above-mentioned m (group of m>n) x-y corresponding relation (x 1, y 1), (x 2, y 2) ..., (x m, y m), and satisfy: y k=y 1(x k) (0≤k≤m), y k(0≤k≤m), error function hour,
Structure n+1 rank square formations
Figure BSA00000371829100041
Structure n+1 dimensional vector
Figure BSA00000371829100042
Wherein: a i , j = Σ k = 1 m x l i + j , b i = Σ k = 1 m x k i y k ;
Then fitting parameter is vectorial:
Figure BSA00000371829100045
The scaling method of above-mentioned linear array camera also can be used for the demarcation of one of them dimension of face battle array camera.
The embodiment of the invention provides a kind of scaling method of linear array camera, has improved the bearing accuracy based on the touch-screen or the electronic whiteboard of linear array camera through this method.
Obviously, those skilled in the art can carry out various changes and modification to the present invention and not break away from the spirit and scope of the present invention.Like this, belong within the scope of claim of the present invention and equivalent technologies thereof if of the present invention these are revised with modification, then the present invention also is intended to comprise these changes and modification interior.

Claims (5)

1. the scaling method of a linear array camera is characterized in that, comprising:
Obtain the position coordinates p of the picture that touches object and touch the angle between the datum line of line and the said optics principal point of mistake of object position and camera object space optics principal point;
Adopt the linear mapping mode that p and α are mapped to respectively between designation area, obtain function and this function and have unique inverse function
Figure FSA00000371829000012
Set up funtcional relationship
Figure FSA00000371829000013
Get
Figure FSA00000371829000014
Wherein camera valid pixel value interval is that [0, V), selection m organizes x-y corresponding relation (x 1, y 1), (x 2, y 2) ..., (x m, y m), make it satisfy above-mentioned function;
According to known m group x-y corresponding relation (x 1, y 1), (x 2, y 2) ..., (x m, y m), function
Figure FSA00000371829000015
Error hour definite parameter a k
2. method according to claim 1 is characterized in that, the error function of function y (x) does Δ = Σ k = 1 m ( y k - y ( x k ) ) 2 m .
3. method according to claim 2 is characterized in that, said function
Figure FSA00000371829000017
Error hour definite parameter a kBe specially:
Structure n+1 rank square formations
Figure FSA00000371829000018
Structure n+1 dimensional vector
Figure FSA00000371829000021
Wherein: a i , j = Σ k = 1 m x l i + j , b i = Σ k = 1 m x k i y k ;
Then parameter vector is:
Figure FSA00000371829000024
4. method according to claim 2 is characterized in that, said function Error hour definite parameter a kBe specially:
Structure n+1 rank square formations
Figure FSA00000371829000026
Structure n+1 dimensional vector
Figure FSA00000371829000027
Wherein: a i , j = Σ k = 1 m x l i + j , b i = Σ k = 1 m x k i y k ;
Then the fitting parameter vector is:
Figure FSA000003718290000210
5. according to any described method of claim 1 to 4, it is characterized in that said method is used for the demarcation of one of them dimension of face battle array camera.
CN2010105719126A 2010-12-03 2010-12-03 Calibration method of linear array camera Pending CN102486869A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103440643A (en) * 2013-08-07 2013-12-11 河南科技大学 Single-linear-array camera calibration method

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103440643A (en) * 2013-08-07 2013-12-11 河南科技大学 Single-linear-array camera calibration method

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Application publication date: 20120606