System, method and program for specifying pixel position correspondence

A pixel position correspondence specifying system, comprising:

• a projection unit that projects an image on a projection screen;
• a reference pattern image group generating unit that generates reference pattern image groups each formed from images for each of which a luminance value defined as a function value of a continuous function which continuously changes with changes in phase is determined by varying the phase for each image, the image groups each being an image group having an initial phase value continuously varied on a coordinate-by-coordinate basis along one coordinate axis;
• a reference pattern projection control unit means that makes the projection unit project the images belonging to the reference pattern image groups;
• a phase calculation unit that calculates, from changes in luminance of pixels in a plurality of photographic images obtained by photographing each image of the reference pattern image group projected on the projection screen, the initial phase values that correspond to the changes in the luminance of the respective pixels in the photographic images;
• and
• an associating unit that conducts an inverse operation of a calculation instituted by the reference pattern image group generating unit to derive initial phase values from coordinates, upon the initial phase values calculated by the phase calculation unit, then associates the inversely calculated coordinates with the pixels in the photographic images, and thus specifies correspondence between pixels in the image to be projected and pixels present in the projection unit,
• wherein:
• the reference pattern image group generating unit generates a reference pattern image group concerning a first coordinate axis along which initial phase values are varied, and a reference pattern image group concerning a second coordinate axis along which initial phase values are varied;
• the reference pattern projection control unit makes the projection unit project the reference pattern image group for the first coordinate axis, the projection control unit further making the projection unit project the reference pattern image group for the second coordinate axis;
• the phase calculation unit calculates, from changes in luminance of pixels in a plurality of photographic images obtained by photographing each image of the reference pattern image group for the first coordinate axis, the initial phase values corresponding to the changes in the luminance of the respective pixels in the photographic images, the phase calculation unit further calculating, from changes in luminance of pixels in a plurality of photographic images obtained by photographing each image of the reference pattern image group for the second coordinate axis, the initial phase values corresponding to the changes in the luminance of the respective pixels in the photographic images;
• and
• the associating unit calculates coordinates of the first coordinate axis by conducting an inverse operation of a calculation for deriving initial phase values from the coordinates of the first coordinate axis, upon the initial phase values calculated from the photographic images obtained by photographing the reference pattern image group for the first coordinate axis, then associates the coordinates of the first coordinate axis with the pixels in the photographic images, next after calculating coordinates of the second coordinate axis by conducting an inverse operation of a calculation for deriving initial phase values from the coordinates of the second coordinate axis, upon the initial phase values calculated from the photographic images obtained by photographing the reference pattern image group for the second coordinate axis, associates the coordinates of the second coordinate axis with the pixels in the photographic images, the associating unit thus specifying the correspondence between the pixels of each photographic image and those of the image to be projected by the projection unit, and using the correspondence between the pixels and coordinates of the photographic image to specify the correspondence between the pixels in the image to be projected and the pixels in the projection unit.

A pixel position correspondence specifying method, comprising:

• generating a reference pattern image group for a first coordinate axis, formed from images for each of which a luminance value defined as a function value of a continuous function which continuously changes with changes in phase is determined by varying the phase for each image, the image groups each being an image group having an initial phase value continuously varied on a coordinate-by-coordinate basis along the first coordinate axis;
• making a projection unit project the images belonging to the reference pattern image group for the first coordinate axis, and making a photographing unit photograph each image resultingly projected on a projection screen;
• calculating, from changes in luminance of pixels in a plurality of photographic images obtained by the photographing unit when each image of the reference pattern image group for the first coordinate axis is projected by the projection unit, the initial phase values that correspond to the changes in the luminance of the respective pixels in the photographic images;
• conducting, upon the initial phase values calculated from the changes in the luminance of the pixels in the photographic images, an inverse operation of a calculation instituted to derive initial phase values from coordinates of the first coordinate axis in the step of generating the reference pattern image group for the first coordinate axis, and then associating the pixels in each photographic image and the coordinates of the first coordinate axis obtained by the inverse operation;
• generating a reference pattern image group for a second coordinate axis, formed from images for each of which a luminance value defined as a function value of a continuous function which continuously changes with changes in phase is determined by varying the phase for each image, the image groups each having an initial phase value continuously varied on a coordinate-by-coordinate basis along the second coordinate axis;
• making the projection unit project the images belonging to the reference pattern image group for the second coordinate axis, and making the photographing unit photograph each image resultingly projected on the projection screen;
• calculating, from changes in luminance of pixels in a plurality of photographic images obtained by the photographing unit when each image of the reference pattern image group for the second coordinate axis is projected by the projection unit, the initial phase values that correspond to the changes in the luminance of the respective pixels in the photographic images;
• conducting, upon the initial phase values calculated from the changes in the luminance of the pixels in the photographic images, an inverse operation of a calculation instituted to derive initial phase values from coordinates of the second coordinate axis in the step of generating the reference pattern image group for the second coordinate axis, and then associating the pixels in each photographic image and the coordinates of the second coordinate axis obtained by the inverse operation;
• and
• using the correspondence between the pixels and coordinates in the photographic image to specify correspondence between pixels in the image to be projected and the pixels in the projection unit.

A pixel position correspondence specifying method, comprising:

• generating a reference pattern image group for a first coordinate axis, formed from images for each of which a luminance value defined as a function value of a continuous function which continuously changes with changes in phase is determined by varying the phase for each image, the image groups each being an image group having an initial phase value continuously varied on a coordinate-by-coordinate basis along the first coordinate axis;
• making a projection unit project the images belonging to the reference pattern image group for the first coordinate axis;
• calculating, from changes in luminance of pixels in a plurality of photographic images obtained by photographing the images of the reference pattern image group for the first coordinate axis projected on a projection screen, the initial phase values that correspond to the changes in the luminance of the respective pixels in the photographic images;
• conducting, upon the initial phase values calculated from the changes in the luminance of the pixels in the photographic images, an inverse operation of a calculation instituted to derive initial phase values from coordinates of the first coordinate axis in the step of generating the reference pattern image group for the first coordinate axis, and then associating the pixels in each photographic image and the coordinates of the first coordinate axis obtained by the inverse operation;
• generating a reference pattern image group for a second coordinate axis, formed from images for each of which a luminance value defined as a function value of a continuous function which continuously changes with changes in phase is determined by varying the phase for each image, the image groups each having an initial phase value continuously varied on a coordinate-by-coordinate basis along the second coordinate axis;
• making the projection unit project the images belonging to the reference pattern image group for the second coordinate axis;
• calculating, from changes in luminance of pixels in a plurality of photographic images obtained by photographing the images of the reference pattern image group for the second coordinate axis projected on the projection screen, the initial phase values that correspond to the changes in the luminance of the respective pixels in the photographic images;
• conducting, upon the initial phase values calculated from the changes in the luminance of the pixels in the photographic images, an inverse operation of a calculation instituted to derive initial phase values from coordinates of the second coordinate axis in the step of generating the reference pattern image group for the second coordinate axis, and then associating the pixels in each photographic image and the coordinates of the second coordinate axis obtained by the inverse operation;
• and
• using the correspondence between the pixels and coordinates in the photographic image to specify correspondence between pixels in the image to be projected and the pixels in the projection unit.

A pixel position correspondence specifying program installed on a computer equipped with projection means to project an image on a projection screen and with photographing means to photograph the image projected on the projection screen, the program causing the computer execute:

• a first reference-pattern image group generating process for generating a reference pattern image group for a first coordinate axis, formed from images for each of which a luminance value defined as a function value of a continuous function which continuously changes with changes in phase is determined by varying the phase for each image, the image groups each being an image group having an initial phase value continuously varied on a coordinate-by-coordinate basis along the first coordinate axis;
• a first photographing control process for making the projection means project the images belonging to the reference pattern image group for the first coordinate axis, and the photographing means to photograph each image resultingly projected on the projection screen;
• a first phase calculation process for calculating, from changes in luminance of pixels in a plurality of photographic images obtained by the photographing means when each image of the reference pattern image group relating to the first coordinate axis is projected by the projection means, the initial phase values that correspond to the changes in the luminance of the respective pixels in the photographic images;
• a first associating process for conducting, upon the initial phase values calculated in the first phase calculation process, an inverse operation of a calculation instituted to derive initial phase values from coordinates of the first coordinate axis in the first reference-pattern image group generating process, and then associating the pixels in each photographic image and the coordinates of the first coordinate axis obtained by the inverse operation;
• a second reference-pattern image group generating process for generating a reference pattern image group for a second coordinate axis, formed from images for each of which a luminance value defined as a function value of a continuous function which continuously changes with changes in phase is determined by varying the phase for each image, the image groups each being an image group having an initial phase value continuously varied on a coordinate-by-coordinate basis along the second coordinate axis;
• a second photographing control process for making the projection means to project the images belonging to the reference pattern image group for the second coordinate axis, and the photographing means to photograph each image resultingly projected on the projection screen;
• a second phase calculation process for calculating, from changes in luminance of pixels in a plurality of photographic images obtained by the photographing means when each image of the reference pattern image group relating to the second coordinate axis is projected by the projection means, the initial phase values that correspond to the changes in the luminance of the respective pixels in the photographic images;
• a second associating process for conducting, upon the initial phase values calculated in the second phase calculation process, an inverse operation of a calculation instituted to derive initial phase values from coordinates of the second coordinate axis in the second reference-pattern image group generating process, and then associating the pixels in each photographic image and the coordinates of the second coordinate axis obtained by the inverse operation;
• and
• a pixel associating process for using the correspondence between the pixels and coordinates in the photographic image to specify correspondence between pixels in the image to be projected and the pixels in the projection means.

A pixel position correspondence specifying program installed on a computer equipped with projection means to project an image on a projection screen, the program causing the computer execute:

• a first reference-pattern image group generating process for generating a reference pattern image group for a first coordinate axis, formed from images for each of which a luminance value defined as a function value of a continuous function which continuously changes with changes in phase is determined by varying the phase for each image, the image groups each being an image group having an initial phase value continuously varied on a coordinate-by-coordinate basis along the first coordinate axis;
• a first reference-pattern projection control process for making the projection means project the images belonging to the reference pattern image group for the first coordinate axis;
• a first phase calculation process for calculating, from changes in luminance of pixels in a plurality of photographic images obtained by photographing each image of the reference pattern image group for the first coordinate axis projected on the projection screen, the initial phase values that correspond to the changes in the luminance of the respective pixels in the photographic images;
• a first associating process for conducting, upon the initial phase values calculated in the first phase calculation process, an inverse operation of a calculation instituted to derive initial phase values from coordinates of the first coordinate axis in the first reference-pattern image group generating process, and then associating the pixels in each photographic image and the coordinates of the first coordinate axis obtained by the inverse operation;
• a second reference-pattern image group generating process for generating a reference pattern image group for a second coordinate axis, formed from images for each of which a luminance value defined as a function value of a continuous function which continuously changes with changes in phase is determined by varying the phase for each image, the image groups each being an image group having an initial phase value continuously varied on a coordinate-by-coordinate basis along the second coordinate axis;
• a second reference-pattern projection control process for making the projection means project the images belonging to the reference pattern image group for the second coordinate axis;
• a second phase calculation process for calculating, from changes in luminance of pixels in a plurality of photographic images obtained by photographing each image of the reference pattern image group for the second coordinate axis projected on the projection screen, the initial phase values that correspond to the changes in the luminance of the respective pixels in the photographic images;
• a second associating process for conducting, upon the initial phase values calculated in the second phase calculation process, an inverse operation of a calculation instituted to derive initial phase values from coordinates of the second coordinate axis in the second reference-pattern image group generating process, and then associating the pixels in each photographic image and the coordinates of the second coordinate axis obtained by the inverse operation;
• and
• a pixel associating process for using the correspondence between the pixels and coordinates in the photographic image to specify correspondence between pixels in the image to be projected and the pixels in the projection means.