US20060082649A1 - Film grain simulation method - Google Patents

Film grain simulation method Download PDF

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US20060082649A1
US20060082649A1 US11/246,848 US24684805A US2006082649A1 US 20060082649 A1 US20060082649 A1 US 20060082649A1 US 24684805 A US24684805 A US 24684805A US 2006082649 A1 US2006082649 A1 US 2006082649A1
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film grain
block
film
image
accordance
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Cristina Gomila
Joan Llach
Jeffrey Cooper
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Priority to US12/589,217 priority patent/US8447127B2/en
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N5/00Details of television systems
    • H04N5/222Studio circuitry; Studio devices; Studio equipment
    • H04N5/262Studio circuits, e.g. for mixing, switching-over, change of character of image, other special effects ; Cameras specially adapted for the electronic generation of special effects
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N5/00Details of television systems
    • H04N5/76Television signal recording
    • H04N5/84Television signal recording using optical recording
    • H04N5/87Producing a motion picture film from a television signal
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T5/00Image enhancement or restoration
    • G06T5/70Denoising; Smoothing
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/10Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding
    • H04N19/102Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding characterised by the element, parameter or selection affected or controlled by the adaptive coding
    • H04N19/117Filters, e.g. for pre-processing or post-processing
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/10Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding
    • H04N19/169Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding characterised by the coding unit, i.e. the structural portion or semantic portion of the video signal being the object or the subject of the adaptive coding
    • H04N19/17Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding characterised by the coding unit, i.e. the structural portion or semantic portion of the video signal being the object or the subject of the adaptive coding the unit being an image region, e.g. an object
    • H04N19/176Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using adaptive coding characterised by the coding unit, i.e. the structural portion or semantic portion of the video signal being the object or the subject of the adaptive coding the unit being an image region, e.g. an object the region being a block, e.g. a macroblock
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/46Embedding additional information in the video signal during the compression process
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/46Embedding additional information in the video signal during the compression process
    • H04N19/467Embedding additional information in the video signal during the compression process characterised by the embedded information being invisible, e.g. watermarking
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/80Details of filtering operations specially adapted for video compression, e.g. for pixel interpolation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/85Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using pre-processing or post-processing specially adapted for video compression
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/85Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using pre-processing or post-processing specially adapted for video compression
    • H04N19/86Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using pre-processing or post-processing specially adapted for video compression involving reduction of coding artifacts, e.g. of blockiness
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N19/00Methods or arrangements for coding, decoding, compressing or decompressing digital video signals
    • H04N19/90Methods or arrangements for coding, decoding, compressing or decompressing digital video signals using coding techniques not provided for in groups H04N19/10-H04N19/85, e.g. fractals
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2207/00Indexing scheme for image analysis or image enhancement
    • G06T2207/10Image acquisition modality
    • G06T2207/10016Video; Image sequence
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2207/00Indexing scheme for image analysis or image enhancement
    • G06T2207/20Special algorithmic details
    • G06T2207/20172Image enhancement details
    • G06T2207/20204Removing film grain; Adding simulated film grain

Definitions

  • This invention relates to a technique for simulating film grain in an image.
  • Motion picture films comprise silver-halide crystals dispersed in an emulsion, coated in thin layers on a film base.
  • the exposure and development of these crystals form the photographic image consisting of discrete tiny particles of silver.
  • the silver undergoes chemical removal after development and tiny blobs of dye occur on the sites where the silver crystals form.
  • These small specks of dye are commonly called ‘grain’ in color film. Grain appears randomly distributed on the resulting image because of the random formation of silver crystals on the original emulsion. Within a uniformly exposed area, some crystals develop after exposure while others do not.
  • Grain varies in sizes and shapes. The faster the film, the larger the clumps of silver formed and blobs of dye generated, and the more they tend to group together in random patterns.
  • the grain pattern is typically known as ‘granularity’.
  • the naked eye cannot distinguish individual grains, which vary from 0.0002 mm to about 0.002 mm. Instead, the eye resolves groups of grains, referred to as blobs. A viewer identifies these groups of blobs as film grain. As the image resolution becomes larger, the perception of the film grain becomes higher. Film grain becomes clearly noticeable on cinema and high-definition images, whereas film grain progressively loses importance in SDTV and becomes imperceptible in smaller formats.
  • Motion picture film typically contains image-dependent noise resulting either from the physical process of exposure and development of the photographic film or from the subsequent editing of the images.
  • the photographic film possesses a characteristic quasi-random pattern, or texture, resulting from physical granularity of the photographic emulsion. Alternatively, a similar pattern can be simulated over computed-generated images in order to blend them with photographic film. In both cases, this image-dependent noise is referred to as grain.
  • moderate grain texture presents a desirable feature in motion pictures.
  • the film grain provides visual cues that facilitate the correct perception of two-dimensional pictures. Film grain is often varied within a single film to provide various clues as to time reference, point of view, etc. Many other technical and artistic uses exist for controlling grain texture in the motion picture industry. Therefore, preserving the grainy appearance of images throughout image processing and delivery chain has become a requirement in the motion picture industry.
  • Cineon® from Eastman Kodak Co, Rochester N.Y., one of the first digital film applications to implement grain simulation, produces very realistic results for many grain types.
  • the Cineon® application does not yield good performance for many high-speed films because of the noticeable diagonal stripes the application produces for high grain size settings.
  • the Cineon® application fails to simulate grain with adequate fidelity when images are subject to previous processing, for example, such as when the images are copied or digitally processed.
  • Grain SurgeryTM Another commercial product that simulates film grain is Grain SurgeryTM from Visual Infinity Inc., which is used as a plug-in of Adobe® After Effects®.
  • the Grain SurgeryTM product appears to generate synthetic grain by filtering a set of random numbers. This approach suffers from disadvantage of a high computational complexity.
  • simulation of a block of film grain for addition to a macroblock of an image occurs by first establishing at least one image parameter at least in part in accordance with at least one attribute of the macroblock. Thereafter, a block of film grain is established in accordance with the image parameter.
  • FIG. 1 depicts a block schematic diagram of the combination of a transmitter and receiver in a film grain processing chain useful for practicing the technique of the present principles
  • FIG. 2 depicts a block schematic diagram of a system for simulating film grain in accordance with the present principles
  • FIG. 3 depicts a block diagram of a shift register for generating a primitive polynomial modulo 2 for simulating film grain in accordance with the method of FIG. 2 and
  • FIG. 4 depicts a pixel grid showing the use of random numbers in generating film grain in accordance with the method of FIG. 2 .
  • FIG. 1 depicts a block schematic diagram of a transmitter 10 , which receives an input video signal and, in turn, generates a compressed video stream at its output.
  • the transmitter 10 also generates information indicative of the film grain (if any) present in the sample.
  • the transmitter 10 could comprises part of a head-end array of a cable television system, or other such system that distributes compressed video to one or more downstream receivers 11 , only one of which is shown in FIG. 1 .
  • the transmitter 10 could also take the form of encoder that presents media like DVDs.
  • the receiver 11 decodes the coded video stream and simulates film grain in accordance with the film grain information and decoded video, both received from the transmitter 10 or directly from the media itself in the case of a DVD or the like, to yield an output video stream that has simulated film grain.
  • the receiver 11 can take the form of a set-top box or other such mechanism that serves to decode compressed video and simulate film grain in that video.
  • the overall management of film grain requires the transmitter 10 (i.e., the encoder) provide information with respect to the film grain in the incoming video. In other words, the transmitter 10 “models” the film grain. Further the receiver 11 (i.e., decoder) simulates the film grain according to the film grain information received from the transmitter 10 .
  • the transmitter 10 enhances the quality of the compressed video by enabling the receiver 11 to simulate film grain in the video signal when difficulty exists in retaining the film grain during the video coding process.
  • the transmitter 10 includes a video encoder 12 which encodes the video stream using any of the well known video compression techniques such as the ITU-T Rec. H.264
  • a film grain remover 14 in the form of a filter or the like depicted in dashed lines in FIG. 1 , could exist upstream of the encoder 12 to remove any film grain in the incoming video stream prior to encoding. To the extent that the incoming video contains no film grain, no need would exist for the film grain remover 14 .
  • a film grain modeler 16 accepts the input video stream, as well as the output signal of the film grain remover 14 (when present). Using such input information, the film grain modeler 16 establishes the film grain in the incoming video signal.
  • the film grain modeler 16 could comprise a look up table containing film grain models for different film stocks. Information in the incoming video signal would specify the particular film stock originally used to record the image prior to conversion into a video signal, thus allowing the film grain modeler 16 to select the appropriate film grain model for such film stock.
  • the film grain modeler 16 could comprise a processor or dedicated logic circuit that would execute one or more algorithms to sample the incoming video and determine the film grain pattern that is present.
  • the receiver 11 typically includes a video decoder 18 that serves to decode the compressed video stream received from the transmitter 10 .
  • the structure of the decoder 18 will depend on the type of compression performed by the encoder 12 within the transmitter 10 . Thus, for example, the use within the transmitter 10 of an encoder 12 that employs the ITU-T Rec. H.264
  • a film grain simulator 20 receives the film grain information from the film grain modeler 16 .
  • the film grain simulator 20 can take the form of a programmed processor, or dedicated logic circuit having the capability of simulating film grain for combination via a combiner 22 with the decoded video stream.
  • Film grain simulation aims to synthesize film grain samples that simulate the look of the original film content.
  • film grain modeling occurs at the transmitter 10 of FIG. 1
  • film grain simulation occurs at the receiver 11 .
  • film grain simulation occurs in the receiver 11 along with the decoding the incoming video stream from the transmitter 10 upstream of the output of the decoded video stream.
  • the decoding process that occurs in the receiver 11 makes no use of images with added film grain.
  • film grain simulation constitutes a post-processing method for synthesizing simulated film grain in the decoded images for display. For that reason, the ITU-T Rec. H.264
  • film grain simulation requires information concerning the grain pattern in the incoming video signal, which information typically undergoes transmission in a Supplemental Enhancement Information (SEI) message when using the ITU-T Rec. H.264
  • SEI Supplemental Enhancement Information
  • the film grain simulation technique of the present principles enables bit-accurate film grain simulation and has applications to consumer products, such as HD DVD players for example. Other potential applications could include set top boxes, television sets, and even recording devices such as camcorders and the like.
  • Film grain simulation occurs after decoding the video bit-stream and prior to pixel display.
  • the film grain simulation process requires the decoding of film grain supplemental information transmitted in the SEI message. Specifications affecting the film grain SEI message ensure the technology will meet the requirements of high definition systems in terms of quality and complexity.
  • the parameter model_id specifies the simulation model. It shall be 0, which identifies the film grain simulation model as frequency filtering.
  • the parameter separate_colour_description_present_flag specifies whether the color space in which the film grain parameters are estimated is different from the color space in which the video sequence has been encoded. This parameter equals 0, which indicates that the color space for film grain simulation is the same than for encoding.
  • the parameter blending_mode_id specifies the blending mode used to blend the simulated film grain with the decoded images. This parameter equals 0, which corresponds to the additive blending mode.
  • the parameter log2_scale_factor specifies the logarithmic scale factor used to represent the film grain parameters in the SEI message. This parameter lies in the range [2, 7] to ensure the film grain simulation can occur using 16-bit arithmetic.
  • intensity_interval_lower_bound[j][i] and intensity_interval_upper_bound [j][i] specify the limits of the intensity interval i of color component j for which film grain parameters have been modeled. For all j and i, intensity_interval_lower_bound [j][i+1], this parameter remains greater than intensity_interval_upper_bound[j][i] since multi-generational film grain is not allowed.
  • the parameter num_model_values_minus1[j] specifies the number of model values present in each intensity interval for color component j. For all j, this parameter lies in the range [0, 2], which specifies that band-pass filtering and cross-color correlation are not supported.
  • the parameter comp_model_value[j][i][0] specifies the film grain intensity for color component j and intensity interval i. For all j and i, this parameter lies in the range [0, 255] to ensure film grain simulation can be performed using 16-bit arithmetic.
  • the parameter comp_model_value[j][i][1] specifies the horizontal high cut frequency that characterizes the film grain shape for color component j and intensity interval i. (The horizontal high and low cut frequencies, together with the vertical high and low cut frequencies that describe the properties of a two-dimensional filter that characterizes the desired film grain pattern).For all j and i, this parameter lies in the range [2, 14], which includes all the required grain patterns.
  • the parameter comp_model_value[j][i][2] specifies the vertical high cut frequency that characterizes a film grain shape for color component j and intensity interval i. For all j and i, this parameter shall be in the range [2, 14] which includes all the required grain patterns. For the combination of all the color components j and intensity intervals i in an SEI message, the number of different pairs (comp_model_value[j][i][1], comp_model_value[j][i][2]) remains not greater than 10.
  • bit accurate film grain simulation occurs in the current picture unless the parameter film_grain_characteristics_cancel_flag equals unity or the frame range specified by the parameter film_grain characteristics_repetition_period becomes exhausted.
  • ISO/IEC 14496-10 standard allows the simulation of film grain in all color components. Film grain is simulated and added to color component c of the decoded image if the parameter comp_model_present_flag[c] equals unity in the film grain SEI message.
  • Bit-accurate film grain simulation occurs by specifying: a database of film grain patterns; a uniform pseudo-random number generator; and a precise sequence of operations. Film grain simulation typically occurs independently for each color component.
  • FIG. 2 depicts [JL1] a block schematic diagram of a method in accordance with a preferred embodiment of the present principles for simulating film grain.
  • the method commences upon execution 100 to establish parameters for the simulated film grain.
  • Part of the process of establishing the film grain parameters for the simulated film grain includes extracting film grain information carried by the incoming video signal.
  • the film grain information will exist in the SEI message. Extracting the SEI message requires decoding of the incoming H-264 coded incoming video signal using a H.264
  • the SEI message contains several parameters, including intensity_interval_lower_bound[c][i] and intensity_interval_upper_bound[c][i] parameters where i ranges from 0 to the value of the parameter num_intensity_intervals_minus1[c].
  • These SEI message parameters undergo a comparison against the average pixel intensity value computed during step 102 for a color component c of each non-overlapping 8 ⁇ 8 pixel block in the decoded image stored in a display buffer 102 following decoding by the decoder 101 . For each non-overlapping 8 ⁇ 8 pixel block from color component c of the decoded image, computation of the average value occurs during step 102 in the following manner:
  • the value of i for which the macroblock average pixel intensity value remain not less than intensity_interval_lower_bound[c][i] and not greater than intensity_interval_upper_bound[c][i] serves as the basis for selecting the film grain parameters for the film grain simulated for the current block in the image. If no value exists that fulfills the condition, no film grain simulation will occur for the current block.
  • Step 104 initiates establishing a film grain block, typically although not necessarily 8 ⁇ 8 pixels in size.
  • the step of establishing a film grain block of 8 ⁇ 8 pixels involves retrieving a block of 8 ⁇ 8 film grain sample from a film grain database 105 , and scaling the sample to the proper intensity, although scaling while desirable need not necessarily occur.
  • the database 103 typically comprises 169 patterns of 4,096 film grain samples, each representing a 64 ⁇ 64 film grain pattern.
  • the database 105 stores the values in 2's complement form, ranging from ⁇ 127 to 127. Synthesis of each film grain pattern typically occurs using a specific pair of cut frequencies that establish a two-dimensional filter that defines the film grain pattern. The cut frequencies transmitted in the SEI message enable access of the database 105 of film grain patterns during film grain simulation.
  • the scaled cut frequencies (comp_model_value[c][s][1] and comp_model_value[c][s][2]) determine which pattern of the database serves as the source of film grain samples. Two randomly generated values serve to select an 8 ⁇ 8 block from the pattern selected in accordance with the cut frequencies. These random values used to select the 8 ⁇ 8 pixel film grain block represent a horizontal and vertical offset within the 64 ⁇ 64 pixel pattern and are created using the following procedure:
  • i_offset (MSB 16 (x(k, e c )) % 52)
  • j_offset (LSB 16 (x(k, e c )) % 56)
  • a uniform pseudo-random number generator 106 provides the pseudo-random numbers used to select the 8 ⁇ 8 pixel block.
  • the pseudo-random number generator 106 [JL2] typically comprises a 32 bit shift register that implements a primitive polynomial modulo 2 operator, x ⁇ 31+x ⁇ 3+1, to randomly select film grain blocks of 8 ⁇ 8 pixels from the film grain patterns of 64 ⁇ 64 pixels in the database.
  • the two pseudo-random numbers used for 8 ⁇ 8 film grain block selection comprise the 16 Most Significant Bits (MSB) and the 16 Least Significant Bits, respectively output by the shit register.
  • the same pseudo-random number x(k, e c ) is used in each non-overlapping area of 16 ⁇ 16 pixels of the decoded image.
  • the resulting sequence of pseudo-random values x(k, e c ) follows a raster scan order over a 16 ⁇ 16 pixels grid. While the illustrated embodiment assumes a raster scan order of blocks of 8 ⁇ 8 pixels, other implementations remain possible.
  • the random number generator 106 has different seeding depending on the color component (c) to which film grain is being added.
  • the seed e 1 used for simulating film grain on the first color component, typically has a value of unity.
  • deblocking filtering occurs between each film grain block created during step 104 and a previous block 109 to ensure the seamless formation of film grain patterns. Deblocking filtering applies only to the vertical edges between adjacent blocks. Assuming simulation of film grain blocks in raster scan order and that the left-most pixels of the current_fg_block lie adjacent to the right-most pixels of the previous_fg_block, deblocking filtering typically occurs by means of a 3-tap filter with coefficients 1,2,1 (not shown) as follows:
  • the deblocked film grain block undergoes blending with the corresponding decoded image block via a block 110 and the result undergoes clipping to [0, 255] prior to display in the following manner:
  • decoded_image[c][x][y] is the decoded pixel value at coordinates (x,y) of color component c
  • display_image[c][x][y] is the video output at the same coordinates.
  • a switching element 111 controls the passage of the deblocked film grain block to the block 110 under the control of a control element 112 .
  • the control element 112 controls the switching element responsive to whether the SEI message parameter film_rain_characteristics_cancel_flag equals unity or the frame range specified by the parameter film_rain_characteristics_repetition_period has been exceeded which dictate whether film grain simulation should occur as discussed above.
  • the foregoing describes a technique for simulating film grain that has application in consumer electronic devices, such as set top boxes, HD-DVD players, television sets, and camcorders.
  • the relatively low cost of random access memory readily permits incorporation of the film grain database 105 within a memory element.
  • the combination of one or more of a microprocessor, programmable gate array and dedicated logic circuit, depicted generally in block 114 in FIG. 2 can readily execute the steps of establishing the film grain parameters, creating a film grain block and deblocking filtering, to yield a film grain block for addition to a video image.

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  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Compression Or Coding Systems Of Tv Signals (AREA)
  • Image Analysis (AREA)
  • Image Processing (AREA)
  • Investigating Materials By The Use Of Optical Means Adapted For Particular Applications (AREA)
  • Picture Signal Circuits (AREA)
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Cited By (23)

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US20060114988A1 (en) * 2004-11-16 2006-06-01 Cristina Gomila Bit-accurate seed initialization for pseudo-random number generators used in a video system
US20060115175A1 (en) * 2004-11-22 2006-06-01 Cooper Jeffrey A Methods, apparatus and system for film grain cache splitting for film grain simulation
US20060133686A1 (en) * 2004-11-24 2006-06-22 Cristina Gomila Film grain simulation technique for use in media playback devices
US20070070241A1 (en) * 2003-10-14 2007-03-29 Boyce Jill M Technique for bit-accurate film grain simulation
US20070104380A1 (en) * 2004-03-30 2007-05-10 Cristina Gomila Method and apparatus for representing image granularity by one or more parameters
US20070269125A1 (en) * 2004-11-17 2007-11-22 Joan Llach Bit-Accurate Film Grain Simulation Method Based On Pre-Computed Transformed Coefficients
US20080181311A1 (en) * 2007-01-31 2008-07-31 Sony Corporation Video system
US20080200436A1 (en) * 2004-11-03 2008-08-21 Stephen Robert Wedge Combination Comprising Zd6474 And An Antiandrogen
EP1965389A2 (fr) 2007-02-28 2008-09-03 Kabushiki Kaisha Toshiba Procédé de codage d'informations, procédé de lecture d'informations, et support de stockage d'informations utilisant deux versions de l'information du grain du film
US20080226162A1 (en) * 2007-03-14 2008-09-18 Autodesk Canada Co. Automatic film grain reproduction
US20090231345A1 (en) * 2004-12-08 2009-09-17 Koninklijke Philips Electronics, N.V. Electronic image processing method and device with linked random generators
US20090251490A1 (en) * 2006-05-18 2009-10-08 Dekun Zou Data Hiding Technique
US20100080455A1 (en) * 2004-10-18 2010-04-01 Thomson Licensing Film grain simulation method
US7945106B2 (en) * 2003-09-23 2011-05-17 Thomson Licensing Method for simulating film grain by mosaicing pre-computer samples
US20110116545A1 (en) * 2009-11-17 2011-05-19 Jinwen Zan Methods and devices for in-loop video deblocking
US8233061B1 (en) * 2007-06-01 2012-07-31 Nvidia Corporation System, method, and computer program product for reducing a number of requests required to retrieve portions of memory
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BRPI0516614B1 (pt) 2020-08-18
RU2378697C2 (ru) 2010-01-10
RU2007118488A (ru) 2008-11-27
US20100080455A1 (en) 2010-04-01
EP1803094A1 (fr) 2007-07-04
JP2008517530A (ja) 2008-05-22
MY152493A (en) 2014-10-15
WO2006044260A1 (fr) 2006-04-27
ZA200703153B (en) 2008-08-27
CA2583156A1 (fr) 2006-04-27
JP4696121B2 (ja) 2011-06-08
MX2007004366A (es) 2007-05-08
KR20070067225A (ko) 2007-06-27
HK1104365A1 (en) 2008-01-11
US8447127B2 (en) 2013-05-21
KR101096916B1 (ko) 2011-12-22
CN101044510B (zh) 2012-01-04
CN101044510A (zh) 2007-09-26
BRPI0516614A (pt) 2008-09-16
CA2583156C (fr) 2014-03-18
EP1803094B1 (fr) 2020-02-19

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