CN101814181B - Unfolding method for restoration of fisheye image - Google Patents

Abstract

The invention provides an unfolding method for restoration of a fisheye image, and relates to the restoration and correction of a fisheye image based on the equidistant projection principle of a spherical model. The method comprises the following steps of: establishing a spherical imaging model, consistent with the equidistant projection principle, of the fisheye image(including the establishment of a fisheye image coordinate system and a camera coordinate system); establishing an unfolded window coordinate system and an unfolded image coordinate system, and calculating the relationship between the two coordinate systems; establishing the relationship between the unfolded image coordinate system and the camera coordinate system; calculating the relationship between the unfolded image coordinate system and the fisheye image coordinate system; and finally obtaining a whole image unfolded in any specified direction. The method can overcome the defect of the methods that can unfold only the top part information of fisheye lenses and can not only restore the top part information, but also restore all information in any direction, The method can be applied to the equidistant projection principle based fisheye lenses as well as other projection principle based fisheye lenses, so that the method has a wide application prospect in fields of image tracking, monitoring, video conference and the like.

Description

A kind of method of deploying of restoration of fisheye image

[technical field]:

The present invention relates to recovery and correction, and, belong to technical field of image processing with fish-eye any image stretching that incident ray is an optical axis based on the fish eye images of the equidistant projection principle of sphere model.

[background technology]:

Omni-directional visual is meant and is equipped with the piece image that video camera once absorbs that super large wide-angle fish eye lens is placed straight up, can write down the whole scenes in the visual angle, 360 ° of orientation, promptly around scenery " one soon all over " in the whole all around zone.The machinery rotation that need not the separate unit video camera that obtains of this " panoramic picture " carries out " shaking bat "; Or adopt multiple cameras to take multiple image simultaneously and carry out " stickup "; Thereby simplified system architecture and handling procedure, helped the real-time requirement of machine vision applications.It is caught and application scenarios such as camera and object interaction in maneuvering target tracking, multiple goal, has special advantage and important use and is worth.This panorama observation with super large wide-angle view can remedy the deficiency of narrow viewing angle, at safety monitoring, pipeline detection, driver assistance, field monitoring, vehicle-mountedly patrol and examine, all there is direct or potential application prospect aspects such as aircraft guidance and robot for space.

The corner connection of fish eye lens camera field of view is near even surpass 180 degree, can realize closely or the stereoscopic vision perception of the big visual field of super close distance.Fish eye lens is to set up one of effective method of fully-directional visual system, and with respect to reflective omni-directional visual camera lens, fish eye lens has advantages such as compact conformation, volume be less, not fragile.The fish eye lens field angle meets or exceeds 180 degree usually, and single lens can be caught the hemisphere image, uses two fish eye lenses then can once obtain the complete image in whole space.Adopt single fish eye lens and IMAQ card structure fully-directional visual system, its relevant rudimentary theory is carried out preliminary exploration, research is to a certain extent carried out in its application.The Flame Image Process problem of omni-directional visual in the main research image tracking system.

Because the particular design of fish-eye camera, focal length is short more, and the visual angle is big more; The visual angle is big more; Because of the distortion that optical principle produces also just strong more; The captured image of fish eye lens remains unchanged except the scenery at picture center; Other should level or vertical scenery corresponding variation has all taken place, there is serious twisted phenomena in the omnidirectional images that obtains of flake video camera like this.To effectively utilize the image information tracking of navigating, need to recover go back original image.Study fish-eye imaging mechanism, fish eye lens projection imaging rule, the pattern distortion origin cause of formation, and then develop a kind of algorithm, make fish eye images obtain in real time, recover accurately.Can accurately proofread and correct the image of any range in the fish eye images, and then realize the reconstructing restored of three-dimensional spatial information.

[summary of the invention]:

The purpose of this invention is to provide a kind of fish eye images method of deploying that restores according to the equidistant projection principle based on the sphere imaging model; Restore the image of any range in the fish eye images accurately with realization, and then splice correction and the recovery that realizes the distortion fish eye images; Can launch simultaneously the pairing fish eye images of expansion window at the fish eye lens arbitrary orientation angle, space, place and the elevation angle.

The present invention is a kind of method of deploying of the fish eye images based on sphere equidistant projection model, and it is realized on following hardware carrier: PC, flake video camera, support.The flake video camera is made up of super large wide-angle fish eye lens and high resolution camera.Support is used for supporting and fixing flake camera; The flake camera is gathered the spatial information of structured environment in real time, and PC launches to handle by method of the present invention in real time, utilizes the information after launching can carry out other effective processing, like car body navigation, monitoring, video conference etc.

The present invention is a kind of method of deploying of the fish eye images based on sphere equidistant projection model, makes fixed fish eye lens realize being equivalent to the function of mobile camera.Its implementation flow process is as shown in Figure 2, and its concrete steps are following:

1st, set up the sphere imaging model of square projection theories such as meeting of fish eye images;

The the 1.1st: set up the fish eye images coordinate system.Center o (x with fish eye images ₀, y ₀) set up fish eye images coordinate system xoy for initial point.

The the 1.2nd: set up camera coordinates system.Camera coordinates is x _cy _cz _cIt is a three-dimensional system of coordinate.x _c, y _cOverlap z with the x axle y axle of fish eye images coordinate system respectively _cAxle and fish-eye optical axis coincidence, and meet at the O point with the fish eye images coordinate system.

The 1.3rd: with the O point is the center, and the radius R of fish eye images is that radius is done hemisphere, hemisphere and z _cThe axle meet at O ' point (0,0, R).

The the 1.4th: suppose 1 P in the camera coordinates system, be ray OP, meet at P ' (x with hemisphere face _{Cp '}, y _{Cp '}, z _{Cp '}) point, the coordinate of this intersection point in camera coordinates system is:

(x _cp′，y _cp′，z _cp′)＝(Rsinθcosφ，Rsinθsinφ，Rcosθ) (1)

Wherein, OP and z _cThe angle theta of axle is an incident angle; The projection OP of OP on xoy " is defined as the position angle with the included angle of x axle; The elevation angle of OP is β=90 °-θ.Then according to waiting square projection theory:

||OP″||＝Kθ (2)

Wherein k is for waiting distortion factor of square projection.

2nd, set up expansion window coordinates system and unfolded image coordinate system, and obtain the relation between these two coordinate systems.

The the 2.1st: cross the tangent plane U that P ' does sphere _wV _w, this plane is the plane of launching window coordinates system place, and the visual angle of launching window coordinates system is γ; P ' V _wWith OZ, OP ' coplane and its positive dirction are perpendicular to OP ' sensing OZ; P ' U _wPositive dirction by P ' V _wCross product decision with OP '; The position angle that defines this tangent plane is the position angle φ of OP, and the elevation angle is same as the elevation angle of OP:

β＝90°-θ (3)

2.2nd, the unfolded image coordinate system is U _wV _w, unfolded image coordinate system U _wV _wInitial point (0,0) in the lower left corner of unfolded image; If the wide and height of unfolded image is respectively w, h.

2.3rd, launch the point that window coordinates fasten and have one-to-one relationship with the pixel on the unfolded image coordinate system, so a pixel wide on the unfolded image corresponding to the size on the expansion plane is:

$w_{\mathrm{pixel}}=R\×2\×\tan \left(\frac{\mathrm{\β}}{2}\right)/w---\left(4\right)$

Can pixel coordinate on the unfolded image and the point coordinate that launches on the plane be mapped one by one according to the 2.2nd; Like the point coordinate on the unfolded image is that (m, n), the then corresponding coordinate launching on the window plane is Q ' (mw to Q _Pixel, nw _Pixel);

3rd, set up the relation of unfolded image coordinate system and camera coordinates system.

The the 3.1st: set up the relation of launching window coordinates system and camera coordinates system.Launching window coordinates system along P ' U _wPositive dirction whenever moves w _PixelThe time variable quantity fastened in camera coordinates be:

X direction variable quantity

dxu＝-w _pixel*sin(φ) (5)

Y direction variable quantity

dyu＝w _pixel*cos(φ) (6)

The variable quantity of z direction does

dzu＝0 (7)

In like manner launching window coordinates system along P ' V _wPositive dirction whenever moves w _PixelThe time variable quantity fastened in camera coordinates be:

At x direction variable quantity

dxv＝w _pixel*cos(θ)*cos(φ) (8)

Y direction variable quantity does

dyv＝w _pixel*cos(θ)*sin(φ) (9)

Variable quantity on the z direction does

dzv＝w _pixel*sin(θ) (10)

The 3.2nd: obtain unfolded image mid point Q (m, n) the corresponding coordinate Q in camera coordinates system ":

(x _cp+mdxu+ndxv，y _cp+mdyu+ndyv，z _cp+mdzu+ndzv)

＝R×w _pixel×(sinθcosφ-msinφ+ncosθcosφ (11)

，sinθsin+mcosφ+ncosθsinφ

，cosθ+nsinθ)

4th, obtain relation between unfolded image coordinate system and the fish eye images coordinate system.

4.1st, we have obtained the coordinate Q of some Q coordinate in camera coordinates system in the unfolded image in the 3rd step (11) formula ".We can obtain Q " the imaging Q in fish eye images " ' according to the equidistant projection principle.Q " incident angle be:

$\mathrm{\α}={\tan }^{-1}\left(\frac{\mathrm{dis}}{z}\right)={\tan }^{-1}\frac{\sqrt{x^2+y^2}}{z}$

(12)

$={\tan }^{-1}\frac{\sqrt{{(-m\sin \mathrm{\φ}+n\cos \mathrm{\θ}\cos \mathrm{\φ})}^2+{(m\cos \mathrm{\φ}+n\cos \mathrm{\θ}\sin \mathrm{\φ})}^2}}{n\sin \mathrm{\θ}}$

The position angle is:

$\mathrm{\λ}={\tan }^{-1}\frac{y}{x}={\tan }^{-1}\frac{m\cos \mathrm{\φ}+n\cos \mathrm{\θ}\sin \mathrm{\φ}}{-m\sin \mathrm{\φ}+n\cos \mathrm{\θ}\cos \mathrm{\φ}}$ (13)

With getting: Q according to (2) formula equidistant projection principle " ' be r=k α to the length of central point.So Q " ' coordinate be:

x _Q″′＝rcosλ+x ₀

(14)

y _Q″′＝rsinλ+y ₀

X wherein ₀, y ₀Be the centre coordinate of fish eye images, with α and λ substitution can try to achieve any point Q that recovers on the image of back (m, n) corresponding point coordinate on fish eye images:

Q″′(rcosλ+x ₀，rsinλ+y ₀) (15)

4.2nd, the " ' (rcos λ+x that will put Q ₀, rsin λ+y ₀) pixel value compose that (m n), draws unfolded image after the group to Q.

ValueQ(m，n)＝ValueQ″′(rcosλ+x ₀，rsinλ+y ₀) (16)

5th, pointwise obtains whole unfolded images

According to the method in the 2nd to the 4th step, pointwise obtains the image of each point in the unfolded image, obtains whole unfolded images at last.

6th, the expansion of fish eye lens place space three-dimensional scene.

At first, according to the cube strategy, as launching window, the definition on these several planes is distinguished as follows with hemispherical external half cubical five faces in the 1st step model:

6.1st, fish-eye top: get sphere top and z _cThe axle intersection point (0,0, R) cook tangent plane P _UpCan recover the image at fish eye lens top for launching window.The size of launching window is 2R * 2R (wide * height), and the visual angle is 90 °, and no position angle, the elevation angle are 90 °.The relation between unfolded image and the fish eye images is tried to achieve in method pointwise according to described in the 4th step (16) formula.

6.2nd, fish-eye the place ahead: get sphere and y _cThe intersection point (0, R, 0) of axle is cooked tangent plane P _FrontFor the expansion window in the place ahead can recover the image in fish eye lens the place ahead, the size on plane is 2R * R, and the visual angle is 90 °, and the position angle is 90 °, and the elevation angle is 0 °.The relation between unfolded image and the fish eye images is tried to achieve in method pointwise according to described in the 4th step (16) formula.

6.3rd, fish-eye rear: get sphere y _cThe intersection point (0 ,-R, 0) of axle is cooked tangent plane P _BackFor the expansion window at rear can recover the image at fish eye lens rear, the size on plane is 2R * R, and the visual angle is 90 °, and the position angle is 270 °, and the elevation angle is 0 °.The relation between unfolded image and the fish eye images is tried to achieve in method pointwise according to described in the 4th step (16) formula.

6.4th, the fish-eye left side: get sphere and x _cThe intersection point (R, 0,0) of axle is cooked tangent plane P _LeftFor the expansion window on the left side can recover the image on the fish eye lens left side, the size on plane is R * 2R, and the visual angle is 90 °, and the position angle is 180 °, and the elevation angle is 0 °.The relation between unfolded image and the fish eye images is tried to achieve in method pointwise according to described in the 4th step (16) formula.

6.5th, the fish-eye right side: get sphere and x _cThe intersection point (R, 0,0) of axle is cooked tangent plane P _RightFor the expansion window on the right side can recover the image on the fish eye lens right side, the size on plane is R * 2R, and the visual angle is 90 °, and the position angle is 0 °, and the elevation angle is 0 °.The relation between unfolded image and the fish eye images is tried to achieve in method pointwise according to described in the 4th step (16) formula.

7th, specify the unfolded image of any direction.

Any direction with in the space, fish eye lens place is the center, and fish eye images is launched, and the expansion of any direction needs 5 parameters, the elevation angle, and the position angle, the wide and high of back image recovered at the visual angle.Given these 5 parameters can be launched according to the 1st step to the 4th step.

8th, launch the roaming of window.

To launch window and on sphere, move, and according to the 1st go on foot the 5th the step method launch, can obtain the roaming figure of fish eye images.

Advantage of the present invention and good effect:

● the present invention is based on fish-eye sphere imaging model, promptly be adapted to wait the fish eye lens of square projection theory, also be applicable to the fish eye lens of other projection theory.

● the present invention has remedied other can only launch the defective of fish eye lens top information approach, not only can restore the information at top, also can restore the information of side any direction, like two sides, the left and right sides.

● the present invention can launch " the expansion window " on any direction axle, and the extracting of sensitive information in the image is had good effect.

● expansion effect of the present invention has been eliminated the existing picture that other restoration methods edge " is pullled ", also can obtain the effect near real world on the edge of.

● the present invention is having positive effect and application prospects based on fields such as fish-eye image tracking, monitoring and video conferences.

[description of drawings]:

Fig. 1 is a sphere equidistant projection model synoptic diagram.

Fig. 2 is the process flow diagram of the method for the invention.

Fig. 3 is the stretch-out view that " at the back " launches window.

Fig. 4 is that position angle and incident angle are 45 ° stretch-out view.

Fig. 5 is cube strategy stretch-out view and splicing.

[embodiment]:

Below in conjunction with accompanying drawing and embodiment the multidimensional method of deploying that fish eye lens of the present invention restores is elaborated.

Embodiment 1

Image resolution ratio is 1280 * 1024, and the center of fish eye images is (504,508), and calibrated radius is R=498, and distortion is k=5.9.Given position angle is φ=45 °, elevation angle β=45 °, and visual angle γ=90 °, recovering back image size requirements is 400 * 400.

The first step: set up fish eye images coordinate system xy, camera coordinates is x _cy _cz _c, the initial point of coordinate system is the central point (504,508) of fish eye images; Do the hemisphere face of radius R=498, hemisphere face and z _cIntersection point be (0,0,498).

Second step: obtain 45 ° at position angle, the ray at 45 ° at the elevation angle and the point of intersection S of sphere:

S(R?sin(45)*cos(45)，R?sin(45)*sin(45)，R?cos(45))＝S(249.0，249.0，352.086)。

The 3rd step: S selects and cooks tangent plane P excessively _SFor launching window, the visual angle is 90 °, and coordinate axis is U _S, V _SU _SPositive dirction point to x _cThe positive dirction of axle, V _SPositive dirction point to z _cPositive dirction, initial point is S, so the S point is at P _SOn coordinate be S (0,0).Calculate on the unfolded image pixel corresponding to P _SOn size be:

$w_{\mathrm{pixel}}=R\×2\×\tan \left(\frac{\mathrm{\β}}{2}\right)/w=2.49.$

The 4th step: calculate P _SOn whenever move w _PixelThe variation that in camera coordinates system, causes.

No U _SPositive dirction moves w _PixelThe time in camera coordinates system, cause be changed to:

x _cDirection: dxu=w _PixelSin φ=1.760

y _cDirection: dyu=-w _PixelCos φ=-1.760

z _cDirection: dzu=0

Along V _SPositive dirction moves w _PixelThe time in camera coordinates system, cause be changed to:

x _cDirection: dxv=-w _Pixel* cos (θ) * cos (φ)=-1.245

y _cDirection: dyv=-w _Pixel* cos (θ) * sin (φ)=-1.245

z _cDirection: dzv=w _Pixel* sin (θ)=1.760

The 5th step: set up the unfolded image coordinate system.Launching back image size is 400 * 400, the initial point of coordinate system is located at the center (200,200) of image, so first pixel coordinate on the image is (200 ,-200).

The 6th step: calculate (200 ,-200) at P _SOn coordinate.According to formula (11) be:

(-200w _pixel，-200w _pixel)＝(-498，-498)

The 7th step: calculate (200 ,-200) coordinate in camera coordinates system.Calculate according to the 3rd in summary of the invention step.

x＝x _s-200×dxu+(-200)×dxv＝249.0+103.0＝352.0

y＝y _s-200×dyu+(-200)×dyv＝249.0+601.0＝850.0

z＝z _s-200×dxu+(-200)×dxv＝352.086-352＝0.086

The 8th step: be projected in the coordinate on the fish eye images according to waiting square projection theory to calculate.According to the calculating of the step of the 4th in the summary of the invention.

Incident angle

Position angle

Square to mid point leaves r=k α=5.9 * 90=531

So coordinates computed is x _{Q " '}=rcos λ+x ₀=531 * cos67.5+504=203.2+504=707

y _Q″′＝rsinλ+y ₀＝531×sin67.5+508＝490.6+508＝999

To just having calculated in the unfolded image first pixel (0,0) here corresponding to the coordinate in the fish eye images.

The 9th step: other pixel is for the coordinate in the fish eye images in the calculating unfolded image, and the rgb value of this point is (109,204,63), so the value of first pixel on the unfolded image is (109,204,63) just.Coordinate pointwise in the unfolded image is calculated, and just can obtain whole unfolded image.Fig. 4 is image and original image after launching.

Fig. 3 is the stretch-out view that " at the back " launches window.Fig. 5 is cube strategy stretch-out view and splicing.

Through the specific descriptions of above embodiment, those skilled in the art can be well understood to the present invention and can realize by the mode that software adds essential hardware platform, can certainly pass through hardware, but the former is better embodiment under a lot of situation.Based on such understanding; The part that technical scheme of the present invention contributes to prior art in essence in other words can be come out with the embodied of software product; This computer software product is stored in the storage medium, comprises that some instructions are in order to realize method of the present invention.

More than disclosedly be merely a specific embodiment of the present invention, still, the present invention is not limited thereto, any those skilled in the art can think variation all should fall into protection scope of the present invention.

Claims (3)

1. method of deploying based on the restoration of fisheye image of sphere equidistant projection model is characterized in that the concrete steps of this method are following:

1st, set up the sphere imaging model that meets the equidistant projection principle of fish eye images

1.1st, set up the fish eye images coordinate system: with the center O (x of fish eye images ₀, y ₀) set up fish eye images coordinate system XOY for initial point;

1.2nd, set up camera coordinates system: camera coordinates is X _cY _cZ _cIt is a three-dimensional system of coordinate; X _c, Y _cOverlap Z with X axle, the Y axle of fish eye images coordinate system respectively _cAxle and fish-eye optical axis coincidence, and meet at the O point with the fish eye images coordinate system;

1.3rd, be the center with the O point, the radius R of fish eye images is that radius is done hemisphere, hemisphere and Z _cThe axle meet at O ' point (0,0, R);

1.4th, suppose any 1 P in the camera coordinates system, cross the O point and be ray OP, meet at P ' (x with hemisphere face _{Cp '}, y _{Cp '}, z _{Cp '}) point, the coordinate of this intersection point in camera coordinates system is:

(x _cp′，y _cp′，z _cp′)＝(Rsinθcosφ，Rsinθsinφ，Rcosθ) (1)

Wherein, OP and Z _cThe angle theta of axle is an incident angle; The projection OP of OP on XOY " is defined as the position angle with the included angle of X axle; The elevation angle of OP is β=90 °-θ, then according to the equidistant projection principle:

||OP″||＝kθ (2)

Wherein k is the distortion factor of equidistant projection;

2nd, set up expansion window coordinates system and unfolded image coordinate system, and obtain the relation between these two coordinate systems

2.1st, cross P ' and select the tangent plane U that does sphere _wV _w, this plane is the plane of launching window coordinates system place, and the visual angle of launching window coordinates system is γ; P ' V _wWith OZ, OP ' coplane and its positive dirction are perpendicular to OP ' sensing OZ; P ' U _wPositive dirction by P ' V _wCross product decision with OP '; The position angle that definition ends tangent plane is the position angle φ of OP, and the elevation angle is same as the elevation angle of OP:

β＝90°-θ (3)；

2.2nd, the unfolded image coordinate system is U _wV _w, unfolded image coordinate system U _wV _wInitial point (0,0) in the lower left corner of unfolded image; If the wide and height of unfolded image is respectively w, h;

2.3rd, launch the point that window coordinates fasten and have one-to-one relationship with the pixel on the unfolded image coordinate system, so a pixel wide on the unfolded image corresponding to launching the size that window coordinates system belongs on the plane is:

Can pixel coordinate on the unfolded image and the point coordinate that launches on the plane, window coordinates system place be mapped one by one according to the 2.2nd; Like the point coordinate on the unfolded image is that (m, n), the then corresponding coordinate launching on the plane, window coordinates system place is Q ' (mw to Q _Pixel, nw _Pixel);

3rd, set up the relation of unfolded image coordinate system and camera coordinates system

3.1st, set up the relation of launching window coordinates system and camera coordinates system: launching window coordinates system along P ' U _wPositive dirction whenever moves w _PixelThe time variable quantity fastened in camera coordinates be:

X direction variable quantity

dxu＝-w _pixel*sin(φ) (5)

Y direction variable quantity

dyu＝w _pixel*cos(φ) (6)

The variable quantity of z direction does

dzu＝0 (7)

In like manner launching window coordinates system along P ' V _wPositive dirction whenever moves w _PixelThe time variable quantity fastened in camera coordinates be:

At x direction variable quantity

dxv＝w _pixel*cos(θ)*cos(φ) (8)

Y direction variable quantity does

dyv＝w _pixel*cos(θ)*sin(φ) (9)

Variable quantity on the z direction does

dzv＝w _pixel*sin(θ) (10)

3.2nd, obtain unfolded image mid point Q (m, n) the corresponding coordinate Q in camera coordinates system ":

(x _cp+mdxu+ndxv，y _cp+mdyu+ndyv，z _cp+mdzu+ndzv)

＝R×w _pixel×(sinθcosφ-msinφ+ncosθcosφ (11)

，sinθsinφ+mcosφ+ncosθsinφ

，cosθ+nsinθ)

；

4th, obtain relation between unfolded image coordinate system and the fish eye images coordinate system

4.1st, in the 3rd step formula (11), obtained the coordinate Q of some Q coordinate correspondence in camera coordinates system in the unfolded image ", can obtain Q " the imaging Q in fish eye images " ' according to the equidistant projection principle; Q " incident angle be:

The position angle is:

According to equidistant projection principle (2) Shi Kede: Q " ' be r=k α to the length of central point; So Q " ' coordinate be:

x _Q″′＝rcosλ+x ₀ (14)

y _Q″′＝rsinλ+y ₀

X wherein ₀, y ₀Be the centre coordinate of fish eye images, with α and λ substitution can try to achieve any point Q that recovers on the image of back (m, n) corresponding point coordinate on fish eye images:

Q″′(rcosλ+x ₀，rsinλ+y ₀) (15)

4.2nd, the " ' (rcos λ+x that will put Q ₀, rsin λ+y ₀) pixel value compose that (m n), calculates unfolded image to Q;

ValueQ(m，n)＝ValueQ″′(rcosλ+x ₀，rsinλ+y ₀)?(16)

5th, obtain whole unfolded images

According to the method in the 2nd to the 4th step, pointwise obtains the image value of each point in the unfolded image, obtains whole unfolded images at last.

2. method according to claim 1 is characterized in that obtaining the unfolded image that fish eye lens belongs to the space three-dimensional scene

6th, according to the cube strategy, as launching window, the definition on these several planes is distinguished as follows with hemispherical external half cubical five faces in the 1st step model:

6.1st, fish-eye top: get sphere top and z _cThe axle intersection point (0,0, R) cook tangent plane P _UpCan recover the image at fish eye lens top for launching window; The size of launching window be 2R wide * 2R is high, the visual angle is 90 °, no position angle, the elevation angle are 90 °; The relation between unfolded image and the fish eye images is tried to achieve in method pointwise according to described in the 4th step (16) formula;

6.2nd, fish-eye the place ahead: get sphere and y _cThe intersection point (0, R, 0) of axle is cooked tangent plane P _FrontFor the expansion window in the place ahead can recover the image in fish eye lens the place ahead, the size on plane is 2R * R, and the visual angle is 90 °, and the position angle is 90 °, and the elevation angle is 0 °; The relation between unfolded image and the fish eye images is tried to achieve in method pointwise according to described in the 4th step (16) formula;

6.3rd, fish-eye rear: get sphere y _cThe intersection point (0 ,-R, 0) of axle is cooked tangent plane P _BackFor the expansion window at rear can recover the image at fish eye lens rear, the size on plane is 2R * R, and the visual angle is 90 °, and the position angle is 270 °, and the elevation angle is 0 °; The relation between unfolded image and the fish eye images is tried to achieve in method pointwise according to described in the 4th step (16) formula;

6.4th, the fish-eye left side: get sphere and x _cThe intersection point (R, 0,0) of axle is cooked tangent plane P _LeftFor the expansion window on the left side can recover the image on the fish eye lens left side, the size on plane is R * 2R, and the visual angle is 90 °, and the position angle is 180 °, and the elevation angle is 0 °; The relation between unfolded image and the fish eye images is tried to achieve in method pointwise according to described in the 4th step (16) formula;

6.5th, the fish-eye right side: get sphere and x _cThe intersection point (R, 0,0) of axle is cooked tangent plane P _RightFor the expansion window on the right side can recover the image on the fish eye lens right side, the size on plane is R * 2R, and the visual angle is 90 °, and the position angle is 0 °, and the elevation angle is 0 °; The relation between unfolded image and the fish eye images is tried to achieve in method pointwise according to described in the 4th step (16) formula.

3. method according to claim 1 is characterized in that can obtaining specifying the unfolded image of any direction

Any direction with in the space, fish eye lens place is the center, and fish eye images is launched, and the expansion of any direction needs 5 parameters, the elevation angle, and the position angle, the wide and high of back image recovered at the visual angle; Given these 5 parameters can be launched according to the 1st step to the 4th step.

Images