CN100574399C - The system and method that is used for the seam of level and smooth tiled displays - Google Patents

Abstract

The invention provides the method that is used on display surface, producing seamless basically video image.This method may further comprise the steps: at least the first and second video images are projected on the display surface independently, so that by making overlapping of described first and second video images define seam.In this seam, adjust the brightness of first video image and the brightness of second video image electronically, so that consistent Luminance Distribution is provided.

Description

The system and method that is used for the seam of level and smooth tiled displays

Technical field

The present invention relates generally to the field of display, and more specifically, relate to the multi-projector display system.

Background technology

The multi-projector display system is suggested and has used for many years.In the 1950's, be directed to the film industry and developed " CINERAMA " system.The CINERAMA system uses three cover films, throws three images with the projecting apparatus that uses three separation, subsequently, makes up described three images, to form single panoramic picture.

The difficulty that the multi-projector display system is brought is: a plurality of images often are not rendered as a single continuous images on display screen.When on single screen, throwing two images side by side, usually, between described image, there is seam.It is overlapping on single screen that final display image will be rendered as two images placed side by side or the image that have the slit therebetween, has bright line therebetween.Because the inconsistency in traditional video camera, Video processing and transmission channels, display and the specific projection instrument is very difficult to ideally mate resulting video image, make not occur the non-natural sign (artifact) that tiles among the image.If on same screen, make image very near from getting together, so, typically, can on each seam region, exist overlapping.

Therefore, need be used for providing in the multi-projector display system usually the system and method for seamless image.In addition, projector lens can make image fault arrive certain degree in itself, especially in the edge of camera lens.Especially in the edge of camera lens, expectation makes the distortion minimum of the image of demonstration, and this is owing to the image that shows near seam more may be throwed in this camera lens zone.

The conditional electronic distortion correction comprises: when display image, catch this image by the video image trap setting, and, generate the feedback signal of representing shown distortion.Use feedback signal to offset distortion.Such solution provides some improvement to the lens distortions problem.Yet among other shortcoming, this electron-like distortion correction self may increase distortion, often increases system complexity and cost, and makes calibration and user interface complexity.

Therefore, need be used for the system and method for flush system display system, it does not comprise visible interference seam between tiling piece (tile).In addition, have the needs to such flush system display system, this flush system display system will be merged together from the projects images of a plurality of tiling pieces, and forming the tiling image, but it does not need high-quality (and expensive) optics.Therefore, need to carry out lens distortions the system of electronic compensation.In addition, expectation can be adjusted the system of lens distortions under the situation of the outside seizure that does not rely on shown image separately.In addition, need such system and method, it provides the visual angle wideer than existing system, and simultaneously, more effectively eliminates the seam in the flush system image.

Summary of the invention

The invention provides the method that is used on display surface, producing seamless basically video image.This method may further comprise the steps: at least the first and second video images are projected on the display surface independently, and feasible lap by described first and second video images defines seam.Within this seam, adjust the brightness of first video image and the brightness of second video image electronically, so that consistent luminance contour is provided.

Description of drawings

Below, describe the preferred embodiments of the present invention in detail with reference to the accompanying drawings, in the accompanying drawing:

Fig. 1 is the top view that comprises the display system of a plurality of projecting apparatus according to embodiments of the invention.

The front view of the projecting apparatus of Fig. 2 display unit that to be diagram arrange according to embodiments of the invention.

Fig. 3 is that diagram is according to the figure of embodiments of the invention from the relation between the projects images brightness of the pixel of a plurality of projects images.

Fig. 4 is according to embodiments of the invention, the diagram of the relation between the projects images brightness of two projects images in the zone of the seam inside of system.

Fig. 5 illustrates the representative consistency curve of the camera lens of the projecting apparatus that is suitable for using in the present invention.

Embodiment

The quality of projects images is the function of some characteristics, and all described characteristics may meet with distortion in the transfer process from the video data to the display image.For example, a lot of possible sources of luminance distortion-be also referred to as illumination (luminance) distortion-have.For example, because the optics in the photo engine and/or the design of lamp self, and cause most projecting apparatus on whole screen, not throw with constant illumination rank.This illumination inconsistent damaged shown image.The illumination inconsistent can become under given conditions more remarkable (pronounce) of projecting apparatus and associated camera lens thereof.For example, when being tiled in together a plurality of projecting apparatus by its image separately and having created " compound " image, for example taking advantage of 5 pattern with 4, is to form combination picture, and the inconsistent of illumination often wants much obvious.Also may when watching shown image at an angle, produce illumination inconsistent (or making existing inconsistent more remarkable) with display screen or surface.Typically, the part near the beholder in the display image will be rendered as first brightness, and those farther parts of position will be rendered as and have different brightness.

Fig. 5 illustrates the conforming example of illumination that is projected the light on the screen 515 by single projection camera lens (not shown).In this example, this figure has defined the lens distortions distribution that light is projected the camera lens on the screen.As can seeing from this figure, the light that is throwed is brighter in the position near the center 520 of screen.This central area is corresponding with the center of projection camera lens.The brightness of the light that is throwed from the center of screen 515 to the outward flange 501,502 of screen and descend.These zones are corresponding with the perimeter that is used for light is projected the projection camera lens on the screen 515.Each projection camera lens has the corresponding inconsistent distribution of brightness.According to one embodiment of the present of invention of the camera lens that is used to form this system, measure or each camera lens distribution map of characterization, and, with resulting storage in can memory by image processor (for example, the example processor 170 of Fig. 1) visit.

Fig. 1 illustrates a plurality of example projecting apparatus 105,110,115 and 120 of arranging according to embodiments of the invention.Image source 175 provides vedio data, and it indicates to be presented at motion on the display 130 or static video, scene or other visual image.Typically, depend on the certain capabilities of associated display, provide view data with various traditional TVs and video format.In system of the present invention, vedio data 180 is provided to processor 170.Vedio data 180 comprises the pixel brightness data of the pixel x of image.Processor 170 receives the vedio data 180 of the pixel brightness data that comprises pixel x.Processor 170 uses the tiling technology, between a plurality of projecting apparatus 105,110,115 and 120, distribute vedio data 180, so that each projecting apparatus can throw the image of separation, the image of described separation on being projected onto display 130 and with when combined, will form the entire image that will be displayed on the display screen 130 from the image that separates of other projecting apparatus.

Therefore, provide corresponding view data 181,182,183,184, so that the discrete picture of correspondence is projected on the display 130 to each projecting apparatus.Fig. 1 illustrates the example of simplification.Video data 180 is provided to processor 170.Processor 170 distribute data 180 make video data 181 is provided to projecting apparatus 105, and video data 182 is provided to projecting apparatus 110, video data 183 is provided to projecting apparatus 115, and video data 184 is provided to projecting apparatus 120.Projecting apparatus 105 projects image 106 on the screen 130 based on video data 181.Similarly, projecting apparatus 110 projects image 111 on the screen 130, and projecting apparatus 115 projects image 116 on the screen 130, and projecting apparatus 120 projects image 121 on the screen 130.

As seeing from Fig. 1, image 106,111,116 and 121 is overlapping.Image 106 is overlapping with image 111, so that definition seam region 107.Image 111 is overlapping with image 116, so that definition seam region 112.Image 116 is overlapping with image 121, so that definition seam region 117.In Fig. 1, will be expressed as x1, x2, x3 and x4 with seam region 107,112,117 corresponding pixel brightness data.Thereby the part x1 of video data 181 is corresponding with the part of video image 106 in dropping on seam 107, that is, and and between the seam edge 208 and seam edge 209 of seam 107.Similarly, the part x2 of video data 182 is corresponding with the part of video image 111 in dropping on seam 107, that is, and and between the seam edge 208 and seam edge 209 of seam 107.Corresponding relation between video data, video image and the seam is applicable to all the other projecting apparatus and institute's image projected.In order to simplify discussion,, will only describe projecting apparatus 105 and 110 in detail together with seam 107 at this.Yet, will understand, same principle also is applicable to other projecting apparatus.

Among the graphic embodiment, projecting apparatus 105,110,115 and 120 is spatial light modulator (SLM) types in Fig. 1.An example of commercially available SLM type of projector is known as the DLPTM projecting apparatus.DLPTM is the trade mark of Texas Instrument.In the example of Fig. 1, display surface 130 separates about 96 with the plane 131 of projecting apparatus 105,110,115 and 120 ".

In projecting apparatus 105,110,115 and 120 each is configured to the image 106,111,116 and 121 of correspondence is projected on the display surface 130.In the graphic example, the size of display surface 130 on width is about 120 in Fig. 1 ".In projecting apparatus 105,110,115 and 120 each is configured to throw their correspondence image, makes when throwing side by side, meet the complete substantially raw video image of display surface 130 basically.Thereby image 106,111,116 and 121 is overlapping, defines seam 107,112 and 117 thus.In this example, the size of each seam 107,112 and 117 on width is about 10 ".

The photo engine of each projecting apparatus comprises suitable technology arbitrarily, handles (DLP) or liquid crystal over silicon (LCOS) as one or more liquid crystal displays (LCD) panel, digital light.Yet, person of skill in the art will appreciate that, can utilize other projecting apparatus that comprises the image generation technique that uses other type and use the present invention.

In the projecting apparatus 205,210,215 and 220 each comprises optical element, and it is used for suitably preparing input illumination, to shine for example DMD ^TMSLM, and the projection output image.Typically, the light path of this device comprises two fragments, and it comprises exposure pathways and projected path.Exposure pathways is from irradiation DMD ^TMHigh reliability, metal halide, short arc light modulation and begin.Enter into the RGB filter wheel of rotation from the light of arc lamp.Irradiation relaying camera lens amplifies light beam, shines DMD ^TM, and at DMD ^TMLast formation heart image far away.Total internal reflection (TIR) prism makes the input light from this lamp be sent to DMD ^TMOn, and turn back in the projection optics.Depend on the rotation status (for example) of mirror for open/close ± 10 degree, will be from DMD ^TMLight import to the projection camera lens pupil in (open-minded), or away from the projection camera lens pupil (closing).The multicomponent projecting unit is left DMD with the MTF of expectation, horizontal color (lateral color) and distortion amplification ^TMImage.

Know as known to persons skilled in the art, display unit is characterised in that non-linear in essence, and therefore, typically, the provider of such device is provided for proofreading and correct nonlinear at least one gamma correction table.In addition, system designer is sometimes according to the particular characteristics of device that comprises system design and the gamma tables of supervene.Non-linearly comprise that the space is inconsistent, color inconsistent and/or illumination inconsistent, still, also can comprise the non-natural sign of other known image or irregular.

Fig. 2 illustrates to have width dimensions and is about 140 " the embodiment of image display surface 230 of total image display area.In one embodiment of the invention, image display surface is the display screen with consistent screen gain.In shown embodiment, display surface is 2 by width " baffle plate 230 delimit a boundary line.It is 3 that display surface and baffle plate are arranged in width " framework.Be important to note that, given here size only represent to be used for display system a large amount of possible configuration, show an example of size, frame size etc.

The present invention is suitable for realizing that with other configuration it too much can't mention that still, in case read specification of the present invention and the description that comprises here, these are conspicuous for a person skilled in the art.

In the graphic embodiment of institute, each in a plurality of projecting apparatus (for example, as graphic a plurality of example projecting apparatus 105,110,115 and 120 in Fig. 1) basically simultaneously with the image projection of correspondence on image display surface 130.The discrete portions 205,210,215 and 220 of the correspondence on each institute's image projected definition image display screen 230.As a whole, image 205,210,215 and 220 is basically with filling up image display surface 230 to single video image, frame of video or the picture that the beholder shows.Arrange projecting apparatus, image section and image display surface so that the technology of display image is called as " tiling " in this way here.The shortcoming of tiling technology is: in seam region, occur, resulting visible non-natural sign in the display image, that is, and by the doubling of the image of first projector projects in the zone by the image of second projector projects.According to embodiments of the invention, the seam unit and the method that comprise processor are provided, with the non-natural sign of the tiling in the seam that reduces display image.

Now, turn back to Fig. 1, the method that processor 170 is realized according to each embodiment of the present invention.As previously mentioned, processor 170 receives the vision signal of the display image of expression expectation from image source 175.According to one embodiment of present invention, proofread and correct the non-natural sign that causes owing to seam 107,112 and 117 as follows.For the purpose of discussing, projecting apparatus 105 and 110 will only be discussed.Yet this method is the same for all the other projecting apparatus.Processor 170 is provided for the data x1 of projecting apparatus 105, makes that 208 places become black to image 106 at the edge.Simultaneously, processor 170 is provided for the data x2 of projecting apparatus 110, makes that 209 places become black to image 111 at the edge.In Fig. 3, illustrate the method in more detail.Wherein, line 106 expression comprises from the edge 208 brightness of the pixel of 209 image 106 to the edge.Similarly, line 111 expression 208 brightness of the pixel of 209 image 111 from the edge to the edge.The pixel of image 106 208 is in energy level (level) brightness at the edge, and wherein, pixel brightness value begins to reduce, till obtaining black level value at edge 209.The pixel of image 111 208 is a black at the edge, and 209 increases and be the energy level of brightness at the edge.

Therefore, processor 170 concerns the brightness of brightness that is adjusted at the part of the image 106 of demonstration in the seam 107 and the part of the image 111 that shows in seam 107 with negate.

According to the embodiment of this method, the pixel that shows in seam region has the location of pixels of representing with j.Each pixel j that shows in seam comprises coming the first pixel X of the respective pixel of free projecting apparatus 105 image projected 106 ₁, and the second pixel X that comes the respective pixel of free projecting apparatus 110 image projected 111 ₂For projecting apparatus 110, for example, the pixel X of continuous projection ₁Brightness 208 black increases to the value Y at 209 places, edge from the edge.Y is corresponding with the consistent brightness of seam region for value.Simultaneously, for by projecting apparatus 205 image projected, contiguous pixels X ₂Brightness 208 Y reduces from the edge, and 209 places reach black at the edge.According to one embodiment of present invention, with pixel X ₁, X ₂, the relation between j and the Y is expressed as follows:

$\left(1\right),x1={\left(\left(\frac{j}{\mathrm{overlap}}\right)\right)}^{1/\mathrm{gamma}}$

$\left(2\right),x2={\left((1-\frac{j}{\mathrm{overlap}})\right)}^{1/\mathrm{gamma}}$

Wherein, X ₁Expression is by the pixel of projecting apparatus 105 image projected, X ₂Expression is by the pixel of projecting apparatus 110 image projected, and j is for comprising X ₁, X ₂The seam region of display pixel in number of pixels.Overlap (overlapping) represents the seam area with the number of pixel, and gamma (gamma) is corresponding to the Gamma correction of projecting apparatus.As can be seen, in zone, between by the brightness of projecting apparatus 205 image projected and brightness, there is the negate relation by projecting apparatus 210 image projected by seam definition.

Yet, even, still can observe shadow effect sometimes by this technology.If the beholder sees screen from the angle that tilts, then this effect is especially obvious.Thus, a small amount of brightness that increases appears on seam region.The screen gain is depended in the compensation of this effect.For the purpose of one embodiment of the present of invention is discussed, suppose that the screen gain is 1.For the embodiments of the invention that adopt low screen gain, compensation does not need so high, and is correspondingly adjusted.

In addition, for projector lens with wide relatively rink corner (field angle), the easier shadow effect of observing.On the contrary, for the projector lens with narrow relatively rink corner, this effect is more not obvious.Yet the Luminance Distribution in the seam region is 100% unanimity always not.Depend on projecting mirror first show angle and screen gain factor, the Luminance Distribution in the seam region is from the linearity to Gauss and change.For the purpose of discussing, as shown in Figure 5, suppose that the consistency of each projecting apparatus is 80% according to an embodiment of the invention, wherein, the rink corner is ± 20 °.

According to another embodiment of this method, the pixel that shows in the seam region has the location of pixels of being represented by j.Each display pixel j in the seam comprises coming the first pixel X of the respective pixel of free projecting apparatus 105 image projected 106 ₁, and the second pixel X that comes the respective pixel of free projecting apparatus 110 image projected 111 ₂For projecting apparatus 110, for example, the pixel X of continuous projection ₁Brightness 208 black increases to the value Y at 209 places, edge from the edge.Y is corresponding with the consistent brightness of seam region for value.Simultaneously, for by projecting apparatus 205 image projected, 208 Y reduces from the edge in the brightness of contiguous pixels x2, and 209 places reach black at the edge.According to one embodiment of present invention, with the pixel X among this embodiment ₁, X ₂, the relation between j and the Y is expressed as follows with quadratic equation:

$x1={(0.5\×\cos \mathrm{ine}\left(\frac{\mathrm{PI}\×j}{\mathrm{overlap}}\right)+.5)}^{\frac{1}{\mathrm{gamma}}}$

$x2={(1-(0.5\×\cos \mathrm{ine}\left(\frac{\mathrm{PI}\×j}{\mathrm{overlap}}\right)+.5))}^{\frac{1}{\mathrm{gamma}}}$

Wherein, after x1 is illustrated in and handles from the pixel of described first image section, after x2 is illustrated in and handles from the pixel of described second image section, j represent with the corresponding seam region in the position of overlaid pixel x1 and x2 in number of pixels, overlap (overlapping) is the seam area of number of pixels form, and gamma (gamma) is relevant with the Gamma correction of projecting apparatus.

For further compensation owing to the non-linear distortion that causes, according to the consistency distribution of each projecting apparatus and further adjust above-mentioned technology.According to alternative embodiment of the present invention, based on the consistency curve of corresponding projecting apparatus and adjust pixel x1 and x2.Illustrate example consistency curve among Fig. 5.

In non-tiling, be in the single projector display system, adopt Gamma correction to proofread and correct the distortion of the display image that causes owing to the inherent nonlinearity in for example camera lens, imager, display and other imaging and the display system components usually.Gamma correction can reduce basically because the caused distortion of attribute and the non-natural sign of image of imaging device and system component self.According to one embodiment of present invention, projecting apparatus 205,210,215 and 220 is the types that comprise this Gamma correction ability.

According to one embodiment of present invention, the method that reduces the non-natural sign of tiling in the seam region depends on the Gamma correction of adjusting projecting apparatus with ad hoc fashion, to reduce the non-natural sign that tiles.In one embodiment, the method for the non-natural sign of the seam of the image that is used for reducing tiling may further comprise the steps: first Gamma correction is applied to image section in the seam, and second Gamma correction is applied to the image section that shows outside seam.

Can proofread and correct owing to showing that transfer function causes non-linear by the digital search table that is called as gamma tables.Gamma tables is proofreaied and correct the difference of the gain in the transfer function.According to one embodiment of present invention, adjust gamma value from this gamma tables, so that realize being used for the consistent brightness of combination image, and, in one embodiment of the invention, further adjust according to the characteristic of each projecting apparatus of forming this system.

According to one embodiment of present invention, distribute based on the consistency of projecting apparatus 105 and 110 respectively and adjust first and second image sections.According to one embodiment of present invention, based on the difference of the seam region of institute's projects images and the light characteristic between the non-seam area and Gamma correction is provided.

Can other particular form implement the present invention, and can not deviate from its spirit and intrinsic propesties.Therefore, in any case, be considered as current embodiment illustrative and not restrictive, indicate scope of the present invention by claims rather than by the description of front, and the meaning and the interior change of scope that therefore, fall into the equivalent of claim covered in intention wherein.

Claims (20)

1, a kind of being used for gone up the display (200) that produces seamless basically combination image according at least the first and second images at screen (230), comprising:

At least the first and second projecting apparatus (205,210), be used for first and second images of correspondence are projected screen (230) independently, described first and second images of described projector projects, make that the part of the part of described first image and described second image is overlapping, so as on described screen definition at least one seam region (207);

Image processor, be couple to described first and second projecting apparatus, be used to adjust the brightness of described first and second image sections, make described seam invisible for the beholder basically, wherein, described processor is adjusted the brightness of described first and second image sections with the relation of negate each other.

2, display as claimed in claim 1, wherein, described processor is adjusted described first and second image sections according to the quadratic equation relation.

3, display as claimed in claim 2 wherein, concerns by the described quadratic equation of following relationship description:

$x1={(0.5\×\cos \mathrm{ine}\left(\frac{\mathrm{PI}\×j}{\mathrm{overlap}}\right)+.5)}^{\frac{1}{\mathrm{gamma}}}$ $x2={(1-\left(0.5\×\cos \mathrm{ine}\left(\frac{\mathrm{PI}\×j}{\mathrm{overlap}}\right)+.5\right))}^{\frac{1}{\mathrm{gamma}}}$

Wherein, after x1 is illustrated in and handles from the pixel of described first image section, after x2 is illustrated in and handles from the pixel of described second image section, j represent with the corresponding seam region in the position of overlaid pixel x1 and x2 in number of pixels, overlap is the seam area of number of pixels form, and gamma is relevant with the Gamma correction of projecting apparatus.

4, display as claimed in claim 1, wherein, described processor is also adjusted described first and second image sections according to the characteristic of described projecting apparatus.

5, display as claimed in claim 4 wherein, is selected described characteristic: projecting apparatus light characteristic, projector lens consistency, image transfer function characteristic, imager gamma, display gamma from the group that comprises following content.

6, display as claimed in claim 1, wherein, described processor is adjusted described brightness under the situation that the information that is provided by any screen picture seizure parts is not provided.

7, display as claimed in claim 1, wherein, described processor is also adjusted described first and second images, so that be provided for the Gamma correction of described first and second images, wherein, described processor is applied to the part of the described image in the described seam region with first Gamma correction, and will second Gamma correction different with described first Gamma correction be applied to the part of the outer described image of described seam region.

8, display as claimed in claim 1, wherein said processor are adjusted described first image and second image section, make when showing on described screen, and described combination image has consistent basically brightness.

9, display as claimed in claim 1, wherein, described negate relation is linear negate relation.

10, display as claimed in claim 9, wherein, the brightness that described processor is adjusted described first and second image sections according to linear negate relation is as follows:

$x1={\left(\left(\frac{j}{\mathrm{overlap}}\right)\right)}^{1/\mathrm{gamma}}$ And $x2={\left((1-\frac{j}{\mathrm{overlap}})\right)}^{1/\mathrm{gamma}}$

Wherein, after x1 is illustrated in and handles from the pixel of described first image section, after x2 is illustrated in and handles from the pixel of described second image section, j represent with the corresponding seam region in the position of overlaid pixel x1 and x2 in number of pixels, overlap is the seam area of number of pixels form, and gamma is relevant with the Gamma correction of projecting apparatus.

11, display as claimed in claim 6, wherein said negate relation is the quadratic equation relation.

12, a kind of being used for gone up the method that produces seamless basically combination image according at least the first and second images at screen (230), comprising:

At least the first and second projecting apparatus (205,210) are provided, be used for first and second images of correspondence are projected screen (230) independently, described first and second images of described projector projects, make that at least a portion of at least a portion of described first image and described second image is overlapping, so as on described screen definition at least one seam region (207);

Handle described first and second image sections, so that adjust at least one characteristic of described first and second image sections according to the corresponding characteristic of described projecting apparatus;

First and second image sections of being adjusted are projected on the described screen;

Adjust the brightness of described first and second image sections with the relation of negate each other.

13, method as claimed in claim 12 wherein, is selected the described characteristic of described projecting apparatus: projector lens characteristic, image transfer function characteristic, display transfer function characteristic, imager gamma, display gamma from the group that comprises following content.

14, method as claimed in claim 12 wherein, under the situation that the information that is provided by any screen picture seizure parts is not provided, is determined described adjustment.

15, method as claimed in claim 12, further comprising the steps of: by first Gamma correction being applied to the part of the described image in the described seam region, and will second Gamma correction different be applied to the remainder of described display image with described first Gamma correction, come described display image is carried out Gamma correction.

16, method as claimed in claim 12 wherein, is carried out described treatment step, makes described combination image have consistent basically brightness when showing on described screen.

17, method as claimed in claim 12, wherein, described negate relation is linear negate relation.

18, method as claimed in claim 14 may further comprise the steps: according to the brightness of first and second image sections as described in adjusting as lower linear negate relation:

$x1={\left(\left(\frac{j}{\mathrm{overlap}}\right)\right)}^{1/\mathrm{gamma}}$ And $x2={\left((1-\frac{j}{\mathrm{overlap}})\right)}^{1/\mathrm{gamma}}$

Wherein, after x1 is illustrated in and handles from the pixel of described first image section, after x2 is illustrated in and handles from the pixel of described second image section, j represent with the corresponding seam region in the position of overlaid pixel x1 and x2 in number of pixels, overlap is the seam area of number of pixels form, and gamma is relevant with the Gamma correction of projecting apparatus.

19, method as claimed in claim 12, wherein said negate relation is the quadratic equation relation.

20, method as claimed in claim 19 wherein, concerns by the described quadratic equation of following relationship description:

$x1={(0.5\×\cos \mathrm{ine}\left(\frac{\mathrm{PI}\×j}{\mathrm{overlap}}\right)+.5)}^{\frac{1}{\mathrm{gamma}}}$ And $x2={(1-\left(0.5\×\cos \mathrm{ine}\left(\frac{\mathrm{PI}\×j}{\mathrm{overlap}}\right)+.5\right))}^{\frac{1}{\mathrm{gamma}}}$

Wherein, after x1 is illustrated in and handles from the pixel of described first image section, after x2 is illustrated in and handles from the pixel of described second image section, j represent with the corresponding seam region in the position of overlaid pixel x1 and x2 in number of pixels, overlap is the seam area of number of pixels form, and gamma is relevant with the Gamma correction of projecting apparatus.

Images