US20140029848A1 - Re-coloring a color image - Google Patents
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- US20140029848A1 US20140029848A1 US13/746,787 US201313746787A US2014029848A1 US 20140029848 A1 US20140029848 A1 US 20140029848A1 US 201313746787 A US201313746787 A US 201313746787A US 2014029848 A1 US2014029848 A1 US 2014029848A1
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T11/00—2D [Two Dimensional] image generation
- G06T11/001—Texturing; Colouring; Generation of texture or colour
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- E c,base E c,base (1 +k dif f use (cos( ⁇ /2) ⁇ 1))
Abstract
Description
- This application is a continuation of co-pending U.S. patent application Ser. No. 13/094,264 entitled “Re-Coloring a Color Image”, filed Apr. 26, 2011, which itself claims priority benefits to U.S. patent application Ser. No. 11/514,481 entitled “Re-Coloring a Color Image”, filed Aug. 31, 2006, issued as U.S. Pat. No. 7,990,381, on Aug. 2, 2011. Each of the aforementioned related patent applications is herein incorporated by reference in its entirety.
- Color images such as digital photographs are currently editable in a variety of ways. For example, it is often desirable to change the color of an object in a digital photograph; however, it can be difficult to achieve realistic results, especially when the new color has a substantially different luminance or lightness than that of the original color. Also difficult is appropriately separating the base color from the shading characteristics or retaining the shading characteristics of the original. Existing solutions based on general color editing tools require considerable experience, skill and experimentation. Many coloring algorithms have filters that can be useful for these tasks, such as those known as Colorize, Hue/Saturation/Lightness and Hue Map. However, these have not been well suited to the re-coloring of an object in an image because they rely on the skill, experience and tenacity of the user. The best choice in any particular situation may depend upon the re-coloring task at hand. Even when the best filter is chosen, it can be difficult to adjust the controls to give the desired appearance. Moreover, it is often the case that desired results cannot be obtained.
- A practical example of this problem may be that of an online clothing merchandiser offering a particular style of a particular garment, but in several base fabric colors. It could prove beneficial to such an enterprise to have the ability to easily create digital images which could alternatively show any of a range of available colors, but without the need to take multiple photographs. A practical benefit would be obtained if they were able to easily, realistically and accurately change the color, after-the-fact, from a single photograph of a model.
- Implementations described and claimed herein address the foregoing and other situations by providing technology for re-coloring a region of a color image including a methodology of operations which may include determining an original base color in a region of a color image; establishing at least one shading parameter in the region of the color image; and/or combining a new base color with the at least one shading parameter in the region of the color image thereby producing a re-colored region of the color image.
- Thus, this technology relates generally to the field of digital image editing, or to an application that is used to edit digital raster images, and more specifically relates to the fields of color editing and/or color correction. As a general concept, this technology fits a physical shading model to the distribution of colors found in an object or region of an image. Such a model would then be able to separate the single base color of the object or region from the parameters of a shading model that cause tone variations in the image. In this way, this invention can then provide for simply removing the base color, substituting a different base color, and then re-rendering the image using the shading model along with the extracted shading parameters, and/or use the base color elsewhere.
- This Summary is provided to introduce a selection of concepts in a simplified form that are further described below in the Detailed Description. This Summary is not intended to identify key or essential features of the claimed subject matter, nor is it intended to be used to limit the scope of the claimed subject matter. Other features, details, utilities, and advantages of the claimed subject matter will be apparent from the following more particular written Detailed Description of various embodiments and implementations as further illustrated in the accompanying drawings and defined in the appended claims.
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FIG. 1 illustrates example operations for implementation of image re-coloring. -
FIG. 2 , which includes sub-partFIGS. 2A and 2B , provides views of a region of a color image as originally colored and as re-colored, both with a shading characteristic. -
FIG. 3 , which includes sub-partFIGS. 3A and 3B , provides views of a region of a color image as devoid of color, respectively with and without a shading characteristic. -
FIG. 4 , which includes sub-partFIGS. 4A , 4B, 4C, 4D and 4E, provides respective views of a region of an originally-colored image, the color and a shading parameter separated and a new color and the shading parameter applied thereto. -
FIG. 5 , which includes sub-partFIGS. 5A and 5B , provides views of a color image and a region thereof as originally colored and as re-colored. -
FIG. 6 is a view of a color image having a region thereof re-textured. -
FIG. 7 is a view of a color image having a secondary region thereof re-colored to match the color of a primary region. -
FIG. 8 illustrates a system that may be useful iii implementing the described technology. - Technology is described herein for re-coloring one or more regions of a digital color image. This technology is particularly useful for identification of the base color (whether for color replacement, mere removal to gray-scale, or for re-use otherwise) as well as for retaining shading characteristics of the original image regardless of the re-colorization to be performed. As will be readily understood, such technology may be useful for a great many re-coloring operations, whether for color removal, re-colorization or color matching, inter alia.
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FIG. 1 illustrates anexample methodology 100 for re-coloring a region of a color image, yet retaining one or more shading characteristics thereof. Such amethod 100 may includeoperations operations operation 103, with the at least one shading parameter in the region of the color image. This can thereby produce a re-colored region retaining the image shading variation in a realistic re-coloring of the color image. - In some implementations, a method for re-coloring a region of a color image hereof may include analyzing the color content of the region to determine either or both a base color and the shading parameters for a shading model. The shading parameters would typically account for observed or observable variations of the base color. Note, the base color may be a single representative color of the object or area of the identified region of the image. The method may further include combining (or otherwise applying) the determined shading parameters and shading model with a new base color, thereby producing the same types of variations found in the original image region. The result would generally be producing a second, re-colored region. Note, the combining of shading parameters and a new base color may occur directly in the original image area, as after the identification and removal of the original base color, or may occur separate from the original image region to create a new region which may then replace the original region with the new region. In any case, an end result may be the production of a realistic re-coloring of the original image.
- As set forth in more detail below, the determination of the original base color and the establishment of the shading parameter can involve a shading model, or mathematical relationship derived from the physics of light and color. Such an analysis may be performed on a selection of original image colors, as for example, on a pixel-by-pixel basis in a region of a digital color image. An original base color for the region can be deduced from this analysis along with one or more shading parameters. Some of the one or more shading parameters may be constants and others may vary throughout the selection. This analysis and the model thereof may be thought of as separating the base color from the shading parameter or parameters. After the analysis, then a user-supplied color (or texture map) can be applied as a replacement for the original base color and the selection then re-rendered using the shading parameters. Either or both of the analysis and/or the re-rendering process can be fully automated.
- As a first example,
FIG. 2 provides a representation of a region of a color image, here a three-dimensional sphere orball 210. Thisball 210 has a color and a shading characteristic (the shadow external of the ball is shown merely to emphasize the three dimensional quality of the ball). InFIG. 2A , the base color is identified by the general reference numeral 211 a and is represented by the hatch marking (which according to convention represents the color green). The shading characteristic is identified in the ball by thereference numeral 212. InFIG. 2B , the base color of theball 210 has been changed as identified by the new reference numeral 211 b and the distinct cross-hatch marking (here corresponding by convention to the color yellow). Theshading characteristic 212 has been retained. Note, as shown inFIG. 3 , in some alternative implementations hereof which will be further described below, the base color may simply be removed leaving a white or otherneutral coloring 311 in the ball (see bothFIGS. 3A and 3B ). In one such alternative, seeFIG. 3A , theshading characteristic 312 has been retained, and in another alternative, seeFIG. 3B , the shading characteristic has also been removed leaving only theneutral coloring 311. -
FIG. 4 provides a schematic representation of a methodology for making a color change. Theball 410 ofFIG. 4A has the original base color 411 a, seeFIG. 4B , and theshading characteristic 412, seeFIG. 4C , identified and separated from each other. Then, a new base color 411 b, seeFIG. 4D , can be applied, here with the shading characteristic 412 to theball 410 as shown inFIG. 4E to produce a new colorized version of the image region here defined by theball 410. Note the respective hatching and cross-hatching color representations ofFIGS. 4B , 4D and 4E in going from an original green color (hatching shown inFIG. 4B ) to yellow (cross-hatching ofFIGS. 4D and 4E ) even though the respective original base color 411 a and shading characteristic 412 are shown inFIGS. 4B and 4C as having been taken out of or away from theball 410 ofFIG. 4A , this is but one schematic implementation hereof Other implementations may involve leaving either or both the original base color and/or the shading characteristic in the image region during, and perhaps even after the conversion to the new base color. These and other implementations are described in further detail below. - As a further example, consider a selection made of a colored coat as shown in
FIG. 5 . More specifically, shown inFIG. 5A is adigital image 510 with a variety of original base colors for the separate elements. For example, the cloth of the coat is just a single base color 511 a, dyed at the factory when it was made. When the coat appears in an image, color variations are seen because of the interplay between the shape of the fabric and the lighting (see e.g., the varied shading characteristics 512 a indicated in and resulting from the folds of the sleeve ofFIG. 5A ). The process hereof provides for separating the base color from the shading characteristics, which may be represented by a shading model as described below; then a new base color could be inserted, together with the shading model to produce a re-colored image as shown inFIG. 5B . InFIG. 5B , theimage 510 has a region thereof, i.e., the coat, re-colored with a new color 511 b which nevertheless retains the original shading characteristics, see characteristics 512 b inFIG. 5B . Examples of the typical types of images that may be involved herewith may include those where the color image is a two-dimensional pixel array often representing a three-dimensional scene captured with a digital camera, scanner or rendering program or other digital creation or capture means. Moreover, the region within such an image may correspond with one or more actual objects in the 3D scene that are made of a single base color (e.g., the color of the fabric from which a garment is made, seeFIG. 5 ). - In one implementation, the methodology hereof may involve an analysis using physical relationships of light and color, particularly operating in the energy domain, thus typically referring to the Energy, E, thereof. A starting point in the derivation of the relationships which may be used here can be with a simple shading model that has ambient and diffuse terms. Thus, presented here is a physical shading model (also referred to herein as an ambient/diffuse shading model) to accomplish realistic re-coloring based on a physical shading model for representing the original image. Such a model may include an ambient term:
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E ambient =E light E base - where the ambient energy is the result of the energy from a non-directional light, after reflecting off the object. The surface or base color of the object selectively absorbs the incident light energy (thus the multiplication of the light and base terms). Also included may be a diffuse term:
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E ambient =E light E base cos θ - which is similar to the ambient term except that it has a directional component, 8, which represents the angle formed between the surface normal vector (
N ) and the vector (L ) toward the light source in the image. In computer graphics renderings, this may typically be computed from the dot product of these two unit vectors: -
cos θ=N ·L - The total energy is the sum of the ambient and diffuse components:
-
E total =k ambient E ambient +k dif f use E dif f us - where k represents the relative contributions of each of the ambient and diffuse components. This may be simplified by constraining the sum of the contributions:
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k ambient +k dif f use=1 - which gives
-
E total=(1−k dif f use)E ambient +k dif f use E dif f us. - This model handles surfaces that can be rendered as any combination of ambient and diffuse components. The relationship of ambient to diffuse components may be represented as totaling one hundred percent (100%). Thus, if an object presents a first percent of an ambient component, the corresponding diffuse component will be a second percent of 100 minus the first percent. Most objects in the real world will present an ambient contribution of 0 to 20 percent, and a corresponding diffuse contribution of 80 to 100 percent. Then, assuming that the light in an image here is white:
-
E light=1 - which leaves:
-
E total=(1−k dif f use)E ambient +k dif f use E dif f us. - which further simplifies to the final result:
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E total =E base(1+k dif f use(cos θ−1)) - This equation is revealing in a variety of ways. First, it accomplishes the intended separating of the base surface color from the shading characteristics, Ebase, represents the base color and the term kdif f use(COS θ−1) represents the shading characteristic or characteristics. In this sense, the equation establishes the shading model that with a base color renders the actual image color (the image color in a digital image being represented by a base color attenuated by a shading characteristic quantity). With the Ebase definition of the base color, this may therefore represent the original base surface color in the initial analysis, this original base color then being relatively simple to remove as a quantity from this equation, and then perhaps replaced with a new, different base color. Re-rendering the image with the new base color will then produce an image with a new color and retained shading characteristics.
- Even so, the determination of the base surface color and the shading parameters may further involve the following. Note, the base surface or base color Ebase and the diffuse contribution kdif f us may typically be constants or considered substantially as such for a particular image or region thereof, particular in any particular rendering. The value for 8 will, on the other hand, typically vary pixel-by-pixel. Thus, an estimate of all of these values may be developed by examining the color distribution in a selection or region of an image to be recolored.
- Typically, the brightest color (Emaximum) will be that part of the object that is facing directly or most directly toward the light source in the rendered image. With this, at this point, the angle, 8 (the angle between the surface normal vector and the vector toward the light source), will equal or substantially be equal to zero (θ=0), and then, the cos(θ)=1. This causes terms to cancel out of the simplified final Etotal equation (Etotal=Ebase(1+kdif f use(cos θ−1)), leaving the surface color as:
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E base =E max imum. - Following a similar development, the darkest color (Emin imum) in the selection will be that part of the object that is in total or the most nearly total shadow of the light source. At this point, θ=π/2 degrees and cos(θ)=0. From this, the diffuse contribution may be estimated from the simplified final (Etotal) equation as:
-
- Then, by substitution, an estimate of θ, or actually cos(θ), for each pixel may be determined from the pixel's energy, Ei:
-
- Applying this process to the selection of the green coat of
FIG. 5A may yield the following information in an RGB color space: the base surface color may be something like (0, 205, 0) in sRGB, the diffuse contribution may be 0.989, and the ambient contribution 0.011. Changing to a new base color of brown (RGB=139, 35, 35) can yield a result of a new color 511 b like that depicted in theimage 510 ofFIG. 5B . - Note, the ambient/diffuse shading model can be operated on a pixel to pixel basis for each of however many channels (whether a single or a multiple channel color space is used). Thus, the color model equation may then be as follows:
-
E c,total =E c,light E c,base(k ambient +k dif f use cos θi) - which under the assumptions
-
E c,light=1 -
k ambient +k dif f use=1 - simplifies to
-
E c,i =E c,base(1+k dif f use(cos θi−1)) - where θ is the angle formed between the surface normal of the object in the scene at pixel i and the vector from that object pointing toward the dominant light source in the scene. Note, the subscript c indicates the color channel (e.g. R, G or B in an RGB color space) and i represents a pixel within the region.
- Furthermore, as before, the base color Ec,base can be determined by identifying the maximum color of the region, where the surface faces directly towards the light source so that θi=0 and cos(θi)=1:
-
- Similarly also, the diffuse coefficient kdif f us can be determined by identifying the minimum color of the region, where the surface faces away from the light source so that θi=π/2 and cos θi=0:
-
E c,base =E c,base(1+k dif f use(cos(π/2)−1)) - from which kdif f us is solved:
-
k dif f use=(E c,base −E c,min imum)/E c,base - Note, for each pixel i in the region, the value for cos θi may be computed from the shading model:
-
E c,i =E c,base(1+k dif f use(cos θi−1)) - which may be solved for cos θi and simplified to:
-
cos θi=(E c,i −E c,min imum)/(E c,base −E c,min imum). - A new base color, Ec,base′, can then be substituted into the shading equation
-
E c,i ′=E=E c,base′(1+k dif f use(cos θi−1)) - for each pixel in the region, producing a re-colored second region. The ‘prime’ in the Energy terms, Ec,base′ and Ec,i′ refers to the new color (base and total, the total color including the shading characteristics), as opposed to the original color (base and total). Again, as set forth here, the subscript c denotes this process taking place on a channel-by-channel basis; the subscript i denoting the pixel-by-pixel operation.
- The methodology hereof may further involve transformation into and out of a three dimensional, linear energy color space. For the purpose of applying the re-coloring method, the color components of the region of a color image may be transformed into and out of a three-dimensional, linear energy color space, including but not limited to linear energy RGB and CIE XYZ. Moreover, the base color and/or the shading parameters may be computed by other processes and/or using other assumptions. For example, the base color may be simply based on the brightest pixel color in the region of interest. Similarly, the shading parameters may be computed from one or more of the color components, for example, the color component showing the largest variation.
- Even so, a brief set of typical assumptions is repeated here, these typically being interoperable, though some assumptions may be altered or not used in some implementations. As described, the present shading model will generally operate in the energy domain. Thus, all of the “E” values can be represented as linear energy values. This will thus be operable with conventional color images which now use an RGB working space model, and/or pixel values may be readily converted back and forth between the working space and a linear energy domain. Then, the base surface color may be represented as a vector having one or more components; if using RGB, the vector will have red, green and blue components. The diffuse contribution, kdiffus, will generally be a scalar value. The same value should typically result regardless of the channel used; however, it may be that in practice, the diffuse component may be computed from the dominant color channel, i.e., the channel that shows the widest spread in pixel values. The cos(θ) term will also typically be a scalar value and should similarly be computed from the dominant channel.
- As mentioned, a further assumption may be that the object or region in the image is solid colored, and either or both is exposed to diffuse light or is a diffuse object like cloth, carpeting, a painted wall or the like. Another assumption may be that the object or region is illuminated by a single white light. This assumption may further include assuming that part of the object faces directly toward the light, and that part of the object is in complete shadow of the light. It is assumed that the object is not shiny or reflective. The colors sampled from a selection of a shiny object will not share a common chromaticity coordinate. The highlights or reflected colors will cause the base surface color estimation to fail, because the brightest color will tend towards white.
- As a result, and in contrast with conventional coloring means such as those known as Colorize, Hue/Saturation/Lightness and Hue Map filters, which generally appear to require experimental and/or heuristic processing, the methodology presented here will generally be more automated involving a straightforward base color determination and removal with a E value replacement in easy and consistent production of realistic and natural results on the first attempt.
- An alternative to a mere color replacement is shown in the
image 610 ofFIG. 6 , where atexture map 611 of more than one base color is supplied to re-color the identified region while nevertheless retaining the shading characteristics, see e.g., folds 612. Thus, the new base color E value replacement may also be on a pixel-by-pixel basis, the corresponding E value being obtained from a two-dimensional texture map. Thus, although the original object will typically be a solid single color, the re-coloring process may use texture maps with a variety of color combinations and/or permutations. The new base color for each pixel may further alternatively be obtained from a procedural source, for example, algorithms that synthesize textures procedurally, such as granite, marble, wood grain or other computer generated patterns. - Another alternative implementation involves creating a neutral color in the image, whether for a so-called “gray-scale” or other use. In this the new base color can either simply not be added to the E equation, or added as a set of neutral values (e.g., in RGB (0,0,0)). The result would be a neutral or “gray” image retaining the shadow characteristic or characteristics without color in the identified region. Indeed, color in all regions of an image could similarly be removed to create an overall black and white or gray image with shadow characteristics.
FIG. 3A provides one example of a colorless (i.e., color removed) image. - A further alternative may be reuse of the original base color, e.g., in applying the identified base color to other objects or regions within the same or a discrete image. Since the original base color is identified (whether extracted or otherwise) as part of the process, it may be saved and applied to other objects, thereby providing a very easy color-matching method; i.e., matching the color of the second object to that of the first. An example of this is shown in the
image 710 ofFIG. 7 where thecolor 711 is extracted from the coat and then applied to thepant legs 712. Further noteworthy is the potential to transfer color to a neutral object, something that conventional filters cannot do. Thus, the original base color could be “colorless” (e.g., colors having equal red, green and blue components such as RGB (0,0,0) or RGB (255,255,255), inter alia), however, this could, as the original base color in the Etotal equation hereof, be replaced therein, by any other new base color or color map, yet retaining the original shadow characteristics as described throughout. - The algorithm hereof may be substantially automated or automatic, though typically including a user-driven component. For a first example, the user may select the particular region of the image of which the base color will be determined (for replacement (
FIG. 2B ), mere removal (FIG. 3A ), or re-use otherwise (FIG. 7 )). When selecting a region of constant color, but different luminance (i.e. colors that share a common chromaticity coordinate), a cursor or other graphic user interface selection tool (e.g., a magic wand tool) might be used. A particularly useful such selection tool may be one that operates in a chromaticity color space such as (x, y) or (u′, v′). - The typical result of such implementations is, as above, and as described herein, an easy-to-use, accurate and realistic method of re-coloring objects in images. These implementations provide for identification of the base color whether for color replacement (
FIG. 2B ), mere removal to gray-scale (FIG. 3A ), or for re-use otherwise (FIG. 7 )). These may prove useful in many areas of digital imaging, particularly while still retaining the shading characteristics or other non-base color contributions to an image. As a general principle, these implementations are unique because they are based on a physical shading model rather than heuristics. In many implementations, the technology is a combination of image processing, computer graphics and color science. - In some implementations, articles of manufacture are provided as computer program products. One implementation of a computer program product provides a computer program storage medium readable by a computer system and encoding a computer program. Another implementation of a computer program product may be provided in a computer data signal embodied in a carrier wave by a computing system and encoding the computer program.
- Example hardware and an operating environment are shown in
FIG. 8 for implementing the technology hereof, these including a general purpose computing device in the form of acomputer 820, including a processing unit 821, a system memory 822, and a system bus 823 that operatively couples various system components including the system memory to the processing unit 821. There may be only one or there may be more than one processing unit 821, such that the processor ofcomputer 820 comprises a single central processing unit (CPU), or a plurality of processing units, commonly referred to as a parallel processing environment. Thecomputer 820 may be a conventional computer, a distributed computer, or any other type of computer; the invention is not so limited. - The system bus 823 may be any of several types of bus structures including a memory bus or memory controller, a peripheral bus, a switched fabric, point-to-point connections, and a local bus using any of a variety of bus architectures. The system memory may also be referred to as simply the memory, and includes read only memory (ROM) 824 and random access memory (RAM) 825. A basic input/output system (BIOS) 826, containing the basic routines that help to transfer information between elements within the
computer 820, such as during start-up, is stored in ROM 824. Thecomputer 820 further includes a hard disk drive 827 for reading from and writing to a hard disk, not shown, a magnetic disk drive 828 for reading from or writing to a removable magnetic disk 829, and anoptical disk drive 830 for reading from or writing to a removableoptical disk 831 such as a CD ROM or other optical media. - The hard disk drive 827, magnetic disk drive 828, and
optical disk drive 830 are connected to the system bus 823 by a harddisk drive interface 832, a magneticdisk drive interface 833, and an opticaldisk drive interface 834, respectively. The drives and their associated computer-readable media provide nonvolatile storage of computer-readable instructions, data structures, program modules and other data for thecomputer 820. It should be appreciated by those skilled in the art that any type of computer-readable media which can store data that is accessible by a computer, such as magnetic cassettes, flash memory cards, digital video disks, random access memories (RAMs), read only memories (ROMs), and the like, may be used in the example operating environment. - A number of program modules may be stored on the hard disk, magnetic disk 829,
optical disk 831, ROM 824, or RAM 825, including anoperating system 835, one ormore application programs 836,other program modules 837, and program data 838. A user may enter commands and information into thepersonal computer 820 through input devices such as akeyboard 840 and pointing device 842. Other input devices (not shown) may include a microphone, joystick, game pad, satellite dish, scanner, or the like. These and other input devices are often connected to the processing unit 821 through aserial port interface 846 that is coupled to the system bus, but may be connected by other interfaces, such as a parallel port, game port, or a universal serial bus (USB). Amonitor 847 or other type of display device is also connected to the system bus 823 via an interface, such as a video adapter 848. In addition to the monitor, computers typically include other peripheral output devices (not shown), such as speakers and printers. - The
computer 820 may operate in a networked environment using logical connections to one or more remote computers, such as remote computer 849. These logical connections are achieved by a communication device coupled to or a part of thecomputer 820; the invention is not limited to a particular type of communications device. The remote computer 849 may be another computer, a server, a router, a network PC, a client, a peer device or other common network node, and typically includes many or all of the elements described above relative to thecomputer 820, although only amemory storage device 850 has been illustrated inFIG. 8 . The logical connections depicted inFIG. 8 include a local-area network (LAN) 851 and a wide-area network (WAN) 852. Such networking environments are commonplace in office networks, enterprise-wide computer networks, intranets and the Internet, which are all types of networks. - When used in a LAN-networking environment, the
computer 820 is connected to thelocal network 851 through a network interface or adapter 853, which is one type of communications device. When used in a WAN-networking environment, thecomputer 820 typically includes a modem 854, a network adapter, a type of communications device, or any other type of communications device for establishing communications over thewide area network 852. The modem 854, which may be internal or external, is connected to the system bus 823 via theserial port interface 846. In a networked environment, program modules depicted relative to thepersonal computer 820, or portions thereof, may be stored in the remote memory storage device. It is appreciated that the network connections shown are examples only and other means of and communications devices for establishing a communications link between the computers may be used. - The technology described herein may be implemented as logical operations and/or modules in one or more systems. The logical operations may be implemented (1) as a sequence of processor-implemented steps executing in one or more computer systems and (2) as interconnected machine or circuit modules within one or more computer systems. Likewise, the descriptions of various component modules may be provided in terms of operations executed or effected by the modules. The resulting implementation is a matter of choice, dependent on the performance requirements of the underlying system implementing the described technology. Accordingly, the logical operations making up the embodiments of the technology described herein are referred to variously as operations, steps, objects, or modules. Furthermore, it should be understood that logical operations may be performed in any order, unless explicitly claimed otherwise or a specific order is inherently necessitated by the claim language.
- The above specification provides a complete description of the methodologies, systems and/or structures and uses thereof in example implementations of the presently-described technology. Although various implementations of this technology have been described above with a certain degree of particularity, or with reference to one or more individual implementations, those skilled in the art could make numerous alterations to the disclosed implementations without departing from the spirit or scope of the technology hereof. Since many implementations can be made without departing from the spirit and scope of the presently described technology, the appropriate scope resides in the claims hereinafter appended. In particular, it should be understood that the described technology may be employed in virtually all, if not indeed, all digital imaging. Other implementations are therefore contemplated. Furthermore, it should be understood that any operations may be performed in any order, unless explicitly claimed otherwise or a specific order is inherently necessitated by the claim language. It is intended that all matter contained in the above description and shown in the accompanying drawings shall be interpreted as illustrative only of particular implementations and are not limiting to the embodiments shown. Changes in detail or structure may be made without departing from the basic elements of the present technology as defined in the following claims.
Claims (20)
E total =E base(1+kdiffuse(Cos θ−1))
E total =E light E base(k ambient +k difuse cos θ)
E light=1
k ambient +k diffuse=1
E total =E base(1+k diffuse(cos θ−1))
E i =E base(1+k diffuse(cos θi−1))
E c,i =E c,base(i+k diffuse(COS θi−1))
E total =E base(i+k diffuse(COS θ−1))
E minimum =E base(1+k diffuse(cos(π/2)−1))
k diffuse=(E base −E minimum)/E base, or
E i =E base(1+k diffuse(cos θi−1))
E i =E base(1+k diffuse(cos θi−1))
cos θi=(E i −E minimum)/(E base −E minimum), or
E total =E base(1+k diffuse(cos θ−1))
E total ′=E base′(1+k diffuse(cos θ−1))
E total =E base(1+k diffuse(cos θ−1))
E total =E light E base(k ambient +k diffuse cos θ)
E light=1
k ambient +k diffuse=1
E total =E base(1+k diffuse(cos θ−1))
E i =E base(1+k diffuse(cos θi−1))
E c,i =E c,base(1+k diffuse(cos θi−1))
E total =E base(1+k diffuse(cos θ−1))
E minimum =E base(1+k diffuse(cos(π/2)−1))
k diffuse=(E base −E minimum)/E base, or
E i =E base(1+k diffuse(cos θi−1))
E i =E base(1+k diffuse(cos θi−1))
cos θi=(E i −E minimum)/(E base −E minimum), or
E total =E base(1+k diffuse(cos θ−1))
E total ′=E base′(1+k diffuse(cos θ−1))
E total =E base(1+k diffuse(cos θ−1))
E total =E light E base(k ambient +k diffuse cos θ)
E light=1
k ambient +k diffuse=1
E total =E base(1+k diffuse(cos θ−1))
E i =E base(1+k diffuse(cos θi−1))
E c,i =E c,base(1+k diffuse(cos θi−1))
E total =E base(1+k diffuse(cos θ−1))
E minimum =E base(1+k diffuse(cos(π/2)−1))
k diffuse=(E base −E minimum)/E base, or
E i =E base(1+k diffuse(cos θi−1))
E i =E base(1+k diffuse(cos θi−1))
cos θi(E i −E minimum)/(E base −E minimum), or
E total =E base(1+k diffuse(cos θ−1))
E total ′=E base′(1+k diffuse(cos θ−1))
Priority Applications (1)
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US13/746,787 US20140029848A1 (en) | 2006-08-31 | 2013-01-22 | Re-coloring a color image |
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US11/514,481 US7990381B2 (en) | 2006-08-31 | 2006-08-31 | Re-coloring a color image |
US13/094,264 US8358306B2 (en) | 2006-08-31 | 2011-04-26 | Re-coloring a color image |
US13/746,787 US20140029848A1 (en) | 2006-08-31 | 2013-01-22 | Re-coloring a color image |
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US13/094,264 Continuation US8358306B2 (en) | 2006-08-31 | 2011-04-26 | Re-coloring a color image |
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US20140029848A1 true US20140029848A1 (en) | 2014-01-30 |
Family
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US11/514,481 Expired - Fee Related US7990381B2 (en) | 2006-08-31 | 2006-08-31 | Re-coloring a color image |
US13/094,264 Active - Reinstated US8358306B2 (en) | 2006-08-31 | 2011-04-26 | Re-coloring a color image |
US13/746,787 Abandoned US20140029848A1 (en) | 2006-08-31 | 2013-01-22 | Re-coloring a color image |
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US11/514,481 Expired - Fee Related US7990381B2 (en) | 2006-08-31 | 2006-08-31 | Re-coloring a color image |
US13/094,264 Active - Reinstated US8358306B2 (en) | 2006-08-31 | 2011-04-26 | Re-coloring a color image |
Country Status (3)
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US (3) | US7990381B2 (en) |
EP (1) | EP2059920A1 (en) |
WO (1) | WO2008027060A1 (en) |
Cited By (1)
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CN107210876A (en) * | 2014-09-24 | 2017-09-26 | 沃达丰Ip许可有限公司 | Carrier aggregation between pattern |
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US8373721B2 (en) * | 2009-12-14 | 2013-02-12 | National Taiwan University | Method of realism assessment of an image composite |
US10650569B2 (en) * | 2015-08-19 | 2020-05-12 | Adobe Inc. | Browser-based texture map generation and application |
US9864922B2 (en) * | 2015-09-10 | 2018-01-09 | Adobe Systems Inc. | Content aware pattern stamp tool |
CN110826257B (en) * | 2019-12-03 | 2023-07-21 | 泰州光丽光电科技有限公司 | Optimization method for vacuum gradient coating film system process design |
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US20070273711A1 (en) * | 2005-11-17 | 2007-11-29 | Maffei Kenneth C | 3D graphics system and method |
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US5408595A (en) * | 1988-11-07 | 1995-04-18 | Nec Corporation | Method and apparatus for coloring of recoloring of visual image |
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JP3581265B2 (en) * | 1999-01-06 | 2004-10-27 | シャープ株式会社 | Image processing method and apparatus |
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-
2006
- 2006-08-31 US US11/514,481 patent/US7990381B2/en not_active Expired - Fee Related
- 2006-09-01 EP EP06802982A patent/EP2059920A1/en not_active Withdrawn
- 2006-09-01 WO PCT/US2006/034564 patent/WO2008027060A1/en active Application Filing
-
2011
- 2011-04-26 US US13/094,264 patent/US8358306B2/en active Active - Reinstated
-
2013
- 2013-01-22 US US13/746,787 patent/US20140029848A1/en not_active Abandoned
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US6314203B1 (en) * | 1996-11-14 | 2001-11-06 | Casio Computer Co., Ltd. | Image processing apparatus capable of synthesizing images based on transmittance data |
US6579324B1 (en) * | 1999-04-30 | 2003-06-17 | Microsoft Corporation | Method for indicating a selected region on a computer display while allowing the user to see the formatting of the background and content items within the selected region |
US20070273711A1 (en) * | 2005-11-17 | 2007-11-29 | Maffei Kenneth C | 3D graphics system and method |
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CN107210876A (en) * | 2014-09-24 | 2017-09-26 | 沃达丰Ip许可有限公司 | Carrier aggregation between pattern |
Also Published As
Publication number | Publication date |
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EP2059920A1 (en) | 2009-05-20 |
US7990381B2 (en) | 2011-08-02 |
US20080068377A1 (en) | 2008-03-20 |
WO2008027060A1 (en) | 2008-03-06 |
US20110199378A1 (en) | 2011-08-18 |
US8358306B2 (en) | 2013-01-22 |
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