US5907640A — Functional interpolating transformation system fo…

Claim 1

Independent Claim 163 words

In an image processing system containing a display device, a computer and an input device, a method of editing an image comprising the steps of: displaying a portion of said image on said display device; selecting, by manipulation of said input device, an editing operation for selectively editing said displayed portion of said image; allocating a screen array containing elements for defining edits to be applied to said displayed portion of said image; filling said screen array elements with existing position dependent parameters that are defined by the selected editing operation; updating said screen array elements as editing is accomplished; updating said displayed portion of said image to reflect said updated screen array elements to display an edited version of said displayed portion of said image; selecting, by manipulation of said input device, a different editing operation; updating said existing position dependent parameters using the updated screen array elements; and saving said updated position dependent parameters as a layer in an expression tree.

Claim 2

Dependent Claim 163 words

In an image processing system containing a display device, a computer and an input device, a method of editing an image comprising the steps of: displaying a portion of said image on said display device; selecting, by manipulation of said input device, an editing operation for selectively editing said displayed portion of said image; allocating a screen array containing elements for defining edits to be applied to said displayed portion of said image; filling said screen array elements with existing position dependent parameters that are defined by the selected editing operation; updating said screen array elements as editing is accomplished; updating said displayed portion of said image to reflect said updated screen array elements to display an edited version of said displayed portion of said image; selecting, by manipulation of said input device, a different editing operation; updating said existing position dependent parameters using the updated screen array elements; and saving said updated position dependent parameters as a layer in an expression tree.

Claim 3

Dependent Claim 403 words

In an image processing system containing a display device, a computer and an input device, a method of editing an image comprising the steps of: (a) displaying a portion of said image on said display device; (b) selecting, by manipulation of said input device, an editing operation for selectively editing said displayed portion of said image; (c) allocating a screen array containing elements for defining edits to be applied to said displayed portion of said image; (d) filling said screen array elements with existing position dependent parameters that are defined by the selected editing operation; (e) updating said screen array elements as said editing is accomplished; and (f) updating said displayed portion of said image to reflect said updated screen array elements to display an edited version of said displayed portion of said image, comprising the step of: (f.1) raster image processing said screen array elements and said displayed portion of said image to display said edited version of said displayed portion of said image, comprising the steps of: (f.1.A) updating said existing position dependent parameters using said screen array elements; (f.1.B) performing an inverse transform to map a plurality of discrete pixel locations within said display to a plurality of positions in continuous space; (f.1.C) calculating a pixel color for each position in continuous space using the updated position dependent parameters, comprising: (f.1.C.i) solving a series of elementary operations having the form; F.sub.i (x,y)=α.sub.i (x,y)F.sub.i-1 (x,y)+b.sub.i (x,y)I.sub.i (P.sub.i (x,y))+c.sub.i (x,y) where: F i (x,y) is a pixel color at a position (x,y) in continuous space; α i (x,y) is a scalar function of (x,y) representing a degree of presence at this position of an image resulting from a previously calculated elementary operation F i-1 (x,y); F i-1 (x,y) is a function representing an image defined by a previous layer L i-1 in an expression tree; b i (x,y) is a scalar function representing a degree of presence at position (x,y) of a color of an imported image I i ; I i (x,y) represents an imported image; P i (x,y) represents geometric transforms, including one or more of rotation, scaling, or distortion of the imported image I i ; and c i (x,y) is a position dependent parameter that can affect the color value at location (x,y); and (f.1.D) buffering in a buffer said calculated pixel colors; and (f.1.E) displaying, when said buffer is full, said pixel colors on said display device.

Claim 4

Dependent Claim 403 words

In an image processing system containing a display device, a computer and an input device, a method of editing an image comprising the steps of: (a) displaying a portion of said image on said display device; (b) selecting, by manipulation of said input device, an editing operation for selectively editing said displayed portion of said image; (c) allocating a screen array containing elements for defining edits to be applied to said displayed portion of said image; (d) filling said screen array elements with existing position dependent parameters that are defined by the selected editing operation; (e) updating said screen array elements as said editing is accomplished; and (f) updating said displayed portion of said image to reflect said updated screen array elements to display an edited version of said displayed portion of said image, comprising the step of: (f.1) raster image processing said screen array elements and said displayed portion of said image to display said edited version of said displayed portion of said image, comprising the steps of: (f.1.A) updating said existing position dependent parameters using said screen array elements; (f.1.B) performing an inverse transform to map a plurality of discrete pixel locations within said display to a plurality of positions in continuous space; (f.1.C) calculating a pixel color for each position in continuous space using the updated position dependent parameters, comprising: (f.1.C.i) solving a series of elementary operations having the form; F.sub.i (x,y)=α.sub.i (x,y)F.sub.i-1 (x,y)+b.sub.i (x,y)I.sub.i (P.sub.i (x,y))+c.sub.i (x,y) where: F i (x,y) is a pixel color at a position (x,y) in continuous space; α i (x,y) is a scalar function of (x,y) representing a degree of presence at this position of an image resulting from a previously calculated elementary operation F i-1 (x,y); F i-1 (x,y) is a function representing an image defined by a previous layer L i-1 in an expression tree; b i (x,y) is a scalar function representing a degree of presence at position (x,y) of a color of an imported image I i ; I i (x,y) represents an imported image; P i (x,y) represents geometric transforms, including one or more of rotation, scaling, or distortion of the imported image I i ; and c i (x,y) is a position dependent parameter that can affect the color value at location (x,y); and (f.1.D) buffering in a buffer said calculated pixel colors; and (f.1.E) displaying, when said buffer is full, said pixel colors on said display device.

Claim 5

Dependent Claim 58 words

The method of claim 2 wherein said calculating step further comprises the step of: solving a global operation having the form: ##EQU2## where: γ' and α' i are a function of parameters β i , α i and γ i ; and q is a number of imported images which contribute to the pixel color at location (x,y).

Claim 6

Dependent Claim 81 words

The method of claim 3 wherein said calculating step further comprises the steps of: calculating for a subset of said plurality of locations in said displayed portion of said image said pixel color; interpolating the parameters β i , α i and γ i at selected locations not within the subset of locations from the parameters associated with the subset of locations; and calculating pixel color at the locations not in the subset using the global operation and the interpolated parameters.

Claim 7

Dependent Claim 119 words

In an image editing system containing an input device, a computer, and a display device, a method of editing an image using a brush editing effect comprising the steps of: defining an area at a first location in a displayed image within which a brush editing effect is to be performed; moving, by manipulation of said input device, said area in said displayed image to a second location; defining a displacement vector in response to the direction and distance of the movement of said area from said first location to said second location; computing pixel values within said area at said second location that are not within said area at said first location; and displaying the computed pixel values.

Claim 8

Dependent Claim 119 words

In an image editing system containing an input device, a computer, and a display device, a method of editing an image using a brush editing effect comprising the steps of: defining an area at a first location in a displayed image within which a brush editing effect is to be performed; moving, by manipulation of said input device, said area in said displayed image to a second location; defining a displacement vector in response to the direction and distance of the movement of said area from said first location to said second location; computing pixel values within said area at said second location that are not within said area at said first location; and displaying the computed pixel values.

Claim 9

Dependent Claim 12 words

The method of claim 5 wherein said area is of unlimited size.

Claim 10

Dependent Claim 21 words

The method of claim 5 wherein a velocity of motion between said first and second locations for said area is unlimited.

Claim 11

Dependent Claim 29 words

The method of claim 5 wherein said pixel value computing step further comprises a step of updating elements within a screen array in response to the computed pixel values.

Claim 12

Dependent Claim 34 words

The method of claim 8 wherein said displaying step further comprises the steps of raster image processing said screen array elements and said displayed image to display an edited version of said displayed image.

Claim 13

Dependent Claim 37 words

The method of claim 9 wherein said displaying step further comprises the steps of raster image processing said screen array elements and said displayed image to print an edited version of said displayed image on a printer.

Claim 14

Dependent Claim 92 words

The method of claim 9 or 10 wherein said step of raster image processing further comprises the steps of: updating position dependent parameters using said updated elements of said screen array; performing an inverse transform to map a plurality of discrete pixel locations within said display to a plurality of positions in continuous space; calculating a pixel color for each position in continuous space using the updated position dependent parameters; buffering in a buffer said calculated pixel colors; and displaying, when said buffer is full, said pixel colors on said display device.

Claim 15

Dependent Claim 396 words

In an image editing system containing an input device, a computer and a display device, a method of editing an image using a brush editing effect comprising the steps of: (a) defining an area at a first location in a displayed image within which a brush editing effect is to be performed; (b) moving, by manipulation of said input device, said area in said displayed image to a second location; (c) defining a displacement vector in response to the direction and distance of the movement of said area from said first location to said second location; (d) computing pixel values within said area at said second location that are not within said area at said first location, comprising: (d.1) updating elements within a screen array in response to the computed pixel values; and (e) displaying the computed pixel values, comprising: (e.1) raster image processing said screen array elements and said displayed image to display an edited version of said displayed image, comprising: (e.1.A) updating position dependent parameters using updated elements of said screen array; (e.1.B) performing an inverse transform to map a plurality of discrete pixel locations within said display to a plurality of positions in continuous space; (e.1.C) calculating a pixel color for each position in continuous space using the updated position dependent parameters, comprising: (e.1.C.i) solving a series of elementary operations having the form: F.sub.i (x,y)=α.sub.i (x,y)F.sub.i-1 (x,y)+b.sub.i (x,y)I.sub.i (P.sub.i (x,y))+c.sub.i (x,y) where: F i (x,y) is a pixel color at a position (x,y) in continuous space; α i (x,y) is a scalar function of (x,y) representing a degree of presence at this position of an image resulting from a previously calculated elementary operation F i-1 (x,y); F i-1 (x,y) is a function representing an image defined by a previous layer L i-1 in an expression tree; b i (x,y) is a scalar function representing a degree of presence at position (x,y) of a color of an imported image I i ; I i (x,y) represents an imported image; P i (x,y) represents geometric transforms, including one or more of rotation, scaling, or distortion of the imported image I i ; and c i (x,y) is a position dependent parameter that can affect the color value at location (x,y); and (e.1.D) buffering in a buffer said calculated pixel colors; and (e.1.E) displaying, when said buffer is full, said pixel colors on said display device.

Claim 16

Dependent Claim 396 words

In an image editing system containing an input device, a computer and a display device, a method of editing an image using a brush editing effect comprising the steps of: (a) defining an area at a first location in a displayed image within which a brush editing effect is to be performed; (b) moving, by manipulation of said input device, said area in said displayed image to a second location; (c) defining a displacement vector in response to the direction and distance of the movement of said area from said first location to said second location; (d) computing pixel values within said area at said second location that are not within said area at said first location, comprising: (d.1) updating elements within a screen array in response to the computed pixel values; and (e) displaying the computed pixel values, comprising: (e.1) raster image processing said screen array elements and said displayed image to display an edited version of said displayed image, comprising: (e.1.A) updating position dependent parameters using updated elements of said screen array; (e.1.B) performing an inverse transform to map a plurality of discrete pixel locations within said display to a plurality of positions in continuous space; (e.1.C) calculating a pixel color for each position in continuous space using the updated position dependent parameters, comprising: (e.1.C.i) solving a series of elementary operations having the form: F.sub.i (x,y)=α.sub.i (x,y)F.sub.i-1 (x,y)+b.sub.i (x,y)I.sub.i (P.sub.i (x,y))+c.sub.i (x,y) where: F i (x,y) is a pixel color at a position (x,y) in continuous space; α i (x,y) is a scalar function of (x,y) representing a degree of presence at this position of an image resulting from a previously calculated elementary operation F i-1 (x,y); F i-1 (x,y) is a function representing an image defined by a previous layer L i-1 in an expression tree; b i (x,y) is a scalar function representing a degree of presence at position (x,y) of a color of an imported image I i ; I i (x,y) represents an imported image; P i (x,y) represents geometric transforms, including one or more of rotation, scaling, or distortion of the imported image I i ; and c i (x,y) is a position dependent parameter that can affect the color value at location (x,y); and (e.1.D) buffering in a buffer said calculated pixel colors; and (e.1.E) displaying, when said buffer is full, said pixel colors on said display device.

Claim 17

Dependent Claim 58 words

The method of claim 12 wherein said calculating step further comprises the step of: solving a global operation having the form: ##EQU3## where: γ' and α' i are a function of parameters β i , α i and γ i ; and q is a number of imported images which contribute to the pixel color at location (x,y).

Claim 18

Dependent Claim 78 words

The method of claim 12 wherein said calculating step further comprises the steps of: calculating for a subset of said plurality of locations in said displayed image said pixel color; interpolating the parameters β i , α i and γ i at selected locations not within the subset of location from the parameters associated with the subset of locations; and calculating pixel color at the locations not in the subset using the global operation and the interpolated parameters.

Claim 19

Independent Claim 93 words

A method of editing an image comprising the steps of: inputting an input image; preprocessing the input image into a series of reduced resolution images; selecting one of the series of reduced resolution images for editing; editing the image in a continuous space; defining a plurality of pixel locations within a display device; mapping the pixel locations within the display device to locations within the continuous space; calculating a pixel color at each mapped location in the continuous space; and displaying each pixel color at an associated pixel location in the display device.

Claim 20

Independent Claim 93 words

A method of editing an image comprising the steps of: inputting an input image; preprocessing the input image into a series of reduced resolution images; selecting one of the series of reduced resolution images for editing; editing the image in a continuous space; defining a plurality of pixel locations within a display device; mapping the pixel locations within the display device to locations within the continuous space; calculating a pixel color at each mapped location in the continuous space; and displaying each pixel color at an associated pixel location in the display device.

Claim 21

Dependent Claim 32 words

The method of claim 15 wherein said preprocessing step further comprises the step of tiling said reduced resolution images and said selecting step selects one or more of said tiles for editing.

Claim 22

Dependent Claim 60 words

The method of claim 15 wherein said editing step further comprises the steps of: allocating a screen array containing elements for defining edits to be applied to said displayed image; filling said screen array elements with existing position dependent parameters that are defined by a selected editing operation; and updating said screen array elements as said editing operation is accomplished.

Claim 23

Dependent Claim 34 words

The method of claim 17 wherein said displaying step further comprises the steps of raster image processing said screen array elements and said displayed image to display an edited version of said displayed image.

Claim 24

Dependent Claim 37 words

The method of claim 17 wherein said displaying step further comprises the steps of raster image processing said screen array elements and said displayed image to print an edited version of said displayed image on a printer.

Claim 25

Dependent Claim 90 words

The method of claim 18 or 19 wherein said step of raster image processing further comprises the steps of: updating position dependent parameters using said screen array elements; performing an inverse transform to map a plurality of discrete pixel locations within said display to a plurality of positions in continuous space; calculating a pixel color for each position in continuous space using the updated position dependent parameters; and buffering in a buffer said calculated pixel colors; and displaying, when said buffer is full, said pixel colors on said display device.

Claim 26

Independent Claim 415 words

A method of editing an image comprising the steps of: (a) inputting an input image; (b) preprocessing the input image into a series of reduced resolution images; (c) selecting one of the series of reduced resolution images for editing; (d) editing the image in a continuous space, comprising the steps of: (d.1) allocating a screen array containing elements for defining edits to be applied to said displayed image; (d.2) filling said screen array elements with existing position dependent parameters that are defined by a selected editing operation; and (d.3) updating said screen array elements as said editing operation is accomplished; (e) defining a plurality of pixel locations within a display device; (f) mapping the pixel locations within the display device to locations within the continuous space; (g) calculating a pixel color at each mapped location in the continuous space; and (h) displaying each pixel color at an associated pixel location in the display device, comprising the step of: (h.1) raster image processing said screen array elements and said displayed image to display an edited version of said displayed image, comprising the steps of: (h.1.A) updating position dependent parameters using said screen array elements; (h.1.B) performing an inverse transform to map a plurality of discrete pixel locations within said display to a plurality of positions in continuous space; (h.1.C) calculating a pixel color for each position in continuous space using the updated position dependent parameters, comprising: (h.1.C.i) solving a series of elementary operations having the form: F.sub.i (x,y)=α.sub.i (x,y)F.sub.i-1 (x,y)+b.sub.i (x,y)I.sub.i (P.sub.i (x,y))+c.sub.i (x,y) where: F i (x,y) is a pixel color at a position (x,y) in continuous space; α i (x,y) is a scalar function of (x,y) representing a degree of presence at this position of an image resulting from a previously calculated elementary operation F i-1 (x,y); F i-1 (x,y) is a function representing an image defined by a previous layer L i-1 in an expression tree; b i (x,y) is a scalar function representing a degree of presence at position (x,y) of a color of an imported image I i ; I i (x,y) represents an imported image; P i (x,y) represents geometric transforms, including one or more of rotation, scaling, or distortion of the imported image I i ; and c i (x,y) is a position dependent parameter that can affect the color value at location (x,y); and (h.1.D) buffering in a buffer said calculated pixel colors; and (h.1.E) displaying, when said buffer is full, said pixel colors on said display device.

Claim 27

Independent Claim 415 words

A method of editing an image comprising the steps of: (a) inputting an input image; (b) preprocessing the input image into a series of reduced resolution images; (c) selecting one of the series of reduced resolution images for editing; (d) editing the image in a continuous space, comprising the steps of: (d.1) allocating a screen array containing elements for defining edits to be applied to said displayed image; (d.2) filling said screen array elements with existing position dependent parameters that are defined by a selected editing operation; and (d.3) updating said screen array elements as said editing operation is accomplished; (e) defining a plurality of pixel locations within a display device; (f) mapping the pixel locations within the display device to locations within the continuous space; (g) calculating a pixel color at each mapped location in the continuous space; and (h) displaying each pixel color at an associated pixel location in the display device, comprising the step of: (h.1) raster image processing said screen array elements and said displayed image to display an edited version of said displayed image, comprising the steps of: (h.1.A) updating position dependent parameters using said screen array elements; (h.1.B) performing an inverse transform to map a plurality of discrete pixel locations within said display to a plurality of positions in continuous space; (h.1.C) calculating a pixel color for each position in continuous space using the updated position dependent parameters, comprising: (h.1.C.i) solving a series of elementary operations having the form: F.sub.i (x,y)=α.sub.i (x,y)F.sub.i-1 (x,y)+b.sub.i (x,y)I.sub.i (P.sub.i (x,y))+c.sub.i (x,y) where: F i (x,y) is a pixel color at a position (x,y) in continuous space; α i (x,y) is a scalar function of (x,y) representing a degree of presence at this position of an image resulting from a previously calculated elementary operation F i-1 (x,y); F i-1 (x,y) is a function representing an image defined by a previous layer L i-1 in an expression tree; b i (x,y) is a scalar function representing a degree of presence at position (x,y) of a color of an imported image I i ; I i (x,y) represents an imported image; P i (x,y) represents geometric transforms, including one or more of rotation, scaling, or distortion of the imported image I i ; and c i (x,y) is a position dependent parameter that can affect the color value at location (x,y); and (h.1.D) buffering in a buffer said calculated pixel colors; and (h.1.E) displaying, when said buffer is full, said pixel colors on said display device.

Claim 28

Dependent Claim 58 words

The method of claim 21 wherein said calculating step further comprises the step of: solving a global operation having the form: ##EQU4## where: γ' and α' j are a function of parameters β i , α i and γ i ; and q is a number of imported images which contribute to the pixel color at location (x,y).

Claim 29

Dependent Claim 80 words

The method of claim 22 wherein said calculating step further comprises the steps of: calculating for a subset of said plurality of locations in said displayed portion of said image said pixel color; interpolating the parameters β i , α i and γ i at locations not within the subset of location from the parameters associated with the subset of locations; and calculating pixel color at the locations not in the subset using the global operation and the interpolated parameters.

Claim 30

Independent Claim 138 words

A method for non-destructive image composition of an original digital image residing in an original digital file, comprising: displaying a user-selected region of said original image at a first user-selected resolution; modifying said user-selected region of said original image, in response to input from a user, so as to define a modified original digital image; expressing said modifying step as parameters of at least one spatially resolution independent transformation; recording said parameters separate from said original digital image; and outputting a user-selected region of said modified original image at a second user-selectable resolution onto an output device, by: applying said at least one spatially resolution independent transformation to said original digital image so as to produce said user-selected region of said modified original image; and rendering said user-selected region of said modified original image on said output device.

Claim 31

Independent Claim 138 words

A method for non-destructive image composition of an original digital image residing in an original digital file, comprising: displaying a user-selected region of said original image at a first user-selected resolution; modifying said user-selected region of said original image, in response to input from a user, so as to define a modified original digital image; expressing said modifying step as parameters of at least one spatially resolution independent transformation; recording said parameters separate from said original digital image; and outputting a user-selected region of said modified original image at a second user-selectable resolution onto an output device, by: applying said at least one spatially resolution independent transformation to said original digital image so as to produce said user-selected region of said modified original image; and rendering said user-selected region of said modified original image on said output device.

Claim 32

Dependent Claim 63 words

A method according to claim 24 and wherein said original digital file also contains original parameter data for at least one original spatially resolution independent transformation, and wherein said recording step merges said parameters with said original parameter data, and wherein said applying step combines said at least one spatially resolution independent transformation with said at least one original spatially resolution independent transformation.

Claim 33

Dependent Claim 19 words

A method according to claim 24 and wherein said recording step represents the parameters as a tree data structure.

Claim 34

Dependent Claim 32 words

A method according to claim 24 and wherein said original digital image is represented as a pyramid of sub-images, each sub-image having a lower pixel resolution than its predecessor in the pyramid.

Claim 35

Dependent Claim 18 words

A method according to claim 27 and wherein said sub-images are partitioned into individually accessible rectangular image tiles.

Claim 36

Dependent Claim 22 words

A method according to claim 24 and wherein at least one of said spatially resolution independent transformations corresponds to an air-brushing effect.

Claim 37

Dependent Claim 23 words

A method according to claim 24 and wherein at least one of said spatially resolution independent transformations corresponds to a color leveling effect.

Claim 38

Dependent Claim 23 words

A method according to claim 24 and wherein at least one of said spatially resolution independent transformations corresponds to a color contrasting effect.

Claim 39

Dependent Claim 21 words

A method according to claim 24 and wherein at least one of said spatially resolution independent transformations corresponds to image insertion.

Claim 40

Dependent Claim 22 words

A method according to claim 24 and wherein at least one of said spatially resolution independent transformations corresponds to a lightening/darkening effect.

Claim 41

Dependent Claim 22 words

A method according to claim 24 and wherein at least one of said spatially resolution independent transformations corresponds to an image deformation.

Claim 42

Dependent Claim 37 words

A method according to claim 24 and wherein said expressing step only produces a subset of said parameters of spatially resolution independent transformations, and wherein said applying step also includes filling in the missing parameters by interpolation.

Claim 43

Dependent Claim 34 words

A method according to claim 24 and wherein a user successively modifies said original digital image, producing repeated modifications which are expressed as spatially resolution independent transformations, organized into a tree data-structure, and recorded.

Claim 44

Independent Claim 160 words

A system for non-destructive image composition, of an original digital image residing in an original digital file, comprising: a display device displaying a user-selected region of said original image at a first user-selected resolution; a user interface modifying, said user-selected region of said original image, in response to input from a user, so as to define a modified original digital image; an interpreter expressing modification of the original image as parameters of at least one spatially resolution independent transformation; a storage device recording said parameters separate from said original digital image; and an output device outputting a user-selected region of said modified original image at a second user-selectable resolution onto an output device, by: an image processor applying said at least one spatially resolution independent transformation to said original digital image so as to produce said user-selected region of said modified original image; and an image renderer rendering said user-selected region of said modified original image on said output device.

Claim 45

Independent Claim 160 words

A system for non-destructive image composition, of an original digital image residing in an original digital file, comprising: a display device displaying a user-selected region of said original image at a first user-selected resolution; a user interface modifying, said user-selected region of said original image, in response to input from a user, so as to define a modified original digital image; an interpreter expressing modification of the original image as parameters of at least one spatially resolution independent transformation; a storage device recording said parameters separate from said original digital image; and an output device outputting a user-selected region of said modified original image at a second user-selectable resolution onto an output device, by: an image processor applying said at least one spatially resolution independent transformation to said original digital image so as to produce said user-selected region of said modified original image; and an image renderer rendering said user-selected region of said modified original image on said output device.

Claim 46

Dependent Claim 64 words

A system according to claim 37 and wherein said original digital file digital also contains original parameter data for at least one original spatially resolution independent transformation, and wherein said storage device merges said parameters with said original parameter data, and wherein said image processor combines said at least one spatially resolution independent transformation with said at least one original spatially resolution independent transformation.

Claim 47

Dependent Claim 22 words

A system according to claim 37 and wherein said storage device uses a representation of the parameters as a tree data structure.

Claim 48

Dependent Claim 32 words

A system according to claim 37 and wherein said original digital image is represented as a pyramid of sub-images, each sub-image having a lower pixel resolution than its predecessor in the pyramid.

Claim 49

Dependent Claim 18 words

A system according to claim 37 and wherein said sub-images are partitioned into individually accessible rectangular image tiles.

Claim 50

Dependent Claim 22 words

A system according to claim 37 and wherein at least one of said spatially resolution independent transformations corresponds to an air-brushing effect.

Claim 51

Dependent Claim 23 words

A system according to claim 37 and wherein at least one of said spatially resolution independent transformations corresponds to a color leveling effect.

Claim 52

Dependent Claim 23 words

A system according to claim 37 and wherein at least one of said spatially resolution independent transformations corresponds to a color contrasting effect.

Claim 53

Dependent Claim 21 words

A system according to claim 37 and wherein at least one of said spatially resolution independent transformations corresponds to image insertion.

Claim 54

Dependent Claim 22 words

A system according to claim 37 and wherein at least one of said spatially resolution independent transformations corresponds to a lightening/darkening effect.

Claim 55

Dependent Claim 22 words

A system according to claim 37 and wherein at least one of said spatially resolution independent transformations corresponds to an image deformation.

Claim 56

Dependent Claim 36 words

A system according to claim 37 and wherein said interpreter only produces a subset of said parameters of spatially resolution independent transformations, and wherein said image processor also includes filling in the missing parameters by interpolation.

Claim 57

Dependent Claim 34 words

A system according to claim 37 and wherein the user successively modifies said original digital image, producing repeated modifications which are expressed as spatially resolution independent transformations, organized into a tree data-structure, and recorded.

Annuity Stage	Window Opens	Payment Deadline	Surcharge Period Until	Estimated Fee	Status
3.5 Years (Year 4)	2002-05-24	2002-11-23	2003-05-25	$2000.00	Window Closed / Lapsed
7.5 Years (Year 8)	2006-05-24	2006-11-23	2007-05-25	$3760.00	Window Closed / Lapsed
11.5 Years (Year 12)	2010-05-24	2010-11-23	2011-05-25	$7700.00	Window Closed / Lapsed

Functional interpolating transformation system for image processing

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