Device and method for processing image

Claim 2

The image processing apparatus according to claim 1, wherein: a transformation matrix M A for mapping said object image on a predetermined face of said solid is expressed by the following equation: M A = L A · T rs where, L A :   a matrix for displacing the object image onto a predetermined face of the solid T rs :   a matrix for transforming the object image in accordance with the shape of the predetermined face of the solid; a transformation matrix M B for mapping said first side image on a predetermined face of said solid is expressed by the following equation: M B = L BO · S B · R Bx · R Bz · L B where, L BO :   a matrix for displacing the first side image onto a standard position S B :   a matrix for displacing the first side image in accordance with the shape of the mapping face of the object image R Bx :   a matrix for rotating the first side image for a predetermined angle for the object image R Bz :   a matrix for rotating the first side image for an angle in accordance with the shape of the face of which the object image is mapped L B :   a matrix for displacing the first side image to a predetermined position contacting with the face on which the object image of solid is mapped; a transformation matrix M B for mapping said first side image on a predetermined face of said solid is expressed by the following equation: M C = L CO · S C · R Cx · R Cz · L C where, L CO :   a matrix for displacing the second side image to a standard position S C :   a matrix for displacing the second side image in accordance with the shape of the mapping face of the object image R Cx :   a matrix for rotating the second side image for a predetermined angle for the object image R Cz :   a matrix for rotating the second side image for an angle in accordance with the shape of the face of which the object image is mapped L C :   a matrix for displacing the second side image to a predetermined position contacting with the face which the object image of solid is mapped; a transformation matrix T O for displacing said object image, said first side image, and said second side image in accordance with the movement of said solid is expressed by the following equation: where, r 11 to r 33 :   parameters for transforming respective images for x-, y-, and z-axis of the three-dimensional coordinates of xyz l x :   a parameter for displacing in parallel the image for x-axis l y :   a parameter for displacing in parallel the image for y-axis l z :   a parameter for displacing in parallel the image for z-axis s :   a parameter for magnifying or reducing the image in the x-, y-, and z-axis directions; a matrix P O for perspective-transforming on a predetermined screen surface said object image, said first side image, and said second side image mapped on said solid is expressed by the following equation: where, P z :   a perspective value at the time of perspective-transforming the solid in the three-dimensional space on the screen.

Claim 3

The image processing apparatus according to claim 2, wherein said transformation matrix T O is a matrix having three lines and three rows excluding parameters of third line and third row which are parameters of z-axis.

Claim 4

The image processing apparatus according to claim 2 or 3, wherein said object image to be mapped on a predetermined face of said solid is perspective-transformed on the screen by the transformation matrix T A expressed by the equation: T A = M A · T O · P O using said transformation matrixes M A , T O , and P O ; said first side image to be mapped on a predetermined face of said solid is perspective-transformed on the screen by the transformation matrix T B expressed by the equation: T B = M B · T O · P O using said transformation matrixes M B , T O , and P O ; and said second side image to be mapped on a predetermined face of said solid is perspective-transformed on the screen by the transformation matrix T C expressed by the equation: T C = M C · T O · P O using said transformation matrixes M C , T O , and P O .

Claim 5

The image processing apparatus according to claim 1, wherein said control means determines the back or front face of said object image, said first side image and said second side image which are mapped on respective faces of said solid; maps, on a face corresponding to said solid, the image having the front face as a result of said determination out of said object image, said first side image, and said second side image; maps, on the facing plane of a face corresponding to said solid, the image having the back face as a result of said determination out of said object image, said first side image, and said second side image; and controls said first side image and said second side image not to be displayed when said determination result is neither the back nor the front.

Claim 6

The image processing apparatus according to claim 5, wherein: a transformation matrix M A ' for mapping said object image on a facing plane of said solid is expressed by the following equation: M A ' = L A ' · T rs where, L A ' :   a matrix for displacing the object image onto a facing plane of the solid T rs :   a matrix for transforming the object image in accordance with the shape of the facing plane of the solid; a transformation matrix M B ' for mapping said first side image on a facing plane of said solid is expressed by the following equation: M B ' = L BO · S B · R Bx · R Bz · L B ' where, L BO :   a matrix for displacing the first side image onto a standard position S B :   a matrix for displacing the first side image in accordance with the shape of the mapping face of the object image R Bx :   a matrix for rotating the first side image for a predetermined angle for the object image R Bz :   a matrix for rotating the first side image for an angle in accordance with the shape of the face of which the object image is mapped L B ' :   a matrix for displacing the first side image onto a predetermined position contacting with the face on which the object image of solid is mapped; a transformation matrix M C for mapping said first side image on a facing plane of said solid is expressed by the following equation: M C ' = L CO · S C · R Cx · R Cz · L C ' where, L CO :   a matrix for moving the second side image to a standard position S C :   a matrix for displacing the second side image in accordance with the shape of the mapping face of the object image R Cx :   a matrix for rotating the second side image for a predetermined angle for the object image P Cz :   a matrix for rotating the second side image for an angle in accordance with the shape of the face of which the object image is mapped L C ' :   a matrix for displacing the second side image to a facing plane contacting with the face on which the object image of solid is mapped; a transformation matrix T O for displacing said object image, said first side image, and said second side image in accordance with the movement of said solid is expressed by the following equation: where, r 11 to r 33 :   parameters for transforming respective images for x-, y-, and z-axis of the three-dimensional coordinates of xyz l x :   a parameter for displacing in parallel the image for x-axis l y :   a parameter for displacing in parallel the image for y-axis l z :   a parameter for displacing in parallel the image for z-axis s :   a parameter for magnifying or reducing the image in the x-, y-, and z-axis directions; a matrix P O for perspective-transforming on a predetermined screen surface said object image, said first side image, and said second side image mapped on said solid is expressed by the following equation: where, P z :   a perspective value at the time of perspective-transforming the solid in the three-dimensional space on the screen.

Claim 7

The image processing apparatus according to claim 4, wherein said determination of the back or front is performed based on the values of respective matrix equations of the above-described transformation matrixes T A , T B , and T C for perspective-transforming on the screen said object image, said first side image, and said second side image, which are three-dimensionally transformed on respective corresponding predetermined faces of the solid.

Claim 8

The image processing apparatus according to claim 1, comprising: reduction rate priority mode for cutting out said object image, said first side image, and/or said second side image in a size corresponding to the mapping faces respectively, when said object image, said first side image, and/or said second side image are mapped on the corresponding faces of said solid respectively; and crop priority mode for reducing or magnifying the portion of previously cut out area of said object image, said first side image, and/or said second side image into a size corresponding to the mapping faces, when said object image, said first side image, and/or said second side image are mapped on the corresponding faces of said solid respectively.

Claim 9

The image processing apparatus according to claim 5, wherein said control means changes the front and back of the image of which said determined result is the back, when said image is mapped on said facing plane corresponding to said solid.

Claim 10

The image processing apparatus according to claim 2 or 3, wherein said object image written in said first memory, said first side image written in said second memory, and said second side image written in said third memory are read based on the inverse matrix of said transformation matrix T 0 respectively.

Claim 11

An image processing method comprising the steps of: forming an object image by writing a first image in a first memory to be image-transformed based on a first control data input from a predetermined control means; forming a first side image by writing a second image in a second memory to be image-transformed into the shape in accordance with said object image based on a second control data input from said control means; forming a second side image by writing a third image in a third memory to be image-transformed into the shape in accordance with said object image based on a third control data input from said control means; displacing said object image, said first side image, and said second side image in accordance with the movement in a three-dimensional space of a solid which has said object image, said first side image, and said second side image respectively on the predetermined faces; and perspectively transforming said object image, said first side image, and said second side image which are mapped on said solid on a predetermined screen surface.

Claim 12

The image processing method according to claim 11, wherein: a transformation matrix M A for mapping said object image on a predetermined face of said solid is expressed by the following equation: M A = L A · T rs where, L A :   a matrix for displacing the object image onto a predetermined face of the solid T rs :   a matrix for transforming the object image in accordance with the shape of the predetermined face of the solid; a transformation matrix M B for mapping said first side image on a predetermined face of said solid is expressed by the following equation: M B = L BO · S B · R Bx · R Bz · L B where, L BO :   a matrix for displacing the first side image to a standard position S B :   a matrix for moving the first side image in accordance with the shape of the mapping face of the object image R Bx :   a matrix for rotating the first side image for a predetermined angle for the object image R Bz :   a matrix for rotating the first side image for an angle in accordance with the shape of the face of which the object image is mapped L B :   a matrix for displacing the first side image onto a predetermined position contacting with the face on which the object image of solid is mapped; a transformation matrix M B for mapping said first side image on a predetermined face of said solid is expressed by the following equation: M C = L CO · S C · R Cx · R Cz · L C where, L CO :   a matrix for displacing the second side image onto a standard position S C :   a matrix for displacing the second side image in accordance with the shape of the mapping face of the object image R Cx :   a matrix for rotating the second side image for a predetermined angle for the object image R Cz :   a matrix for rotating the second side image for an angle in accordance with the shape of the face of which the object image is mapped L C :   a matrix for displacing the second side image to a predetermined position contacting with the face on which the object image of solid is mapped; a transformation matrix T O for displacing said object image, said first side image, and said second side image in accordance with the movement of said solid is expressed by the following equation: where, r 11 to r 33 :   parameters for transforming respective images for x-, y-, and z-axis of the three-dimensional coordinates of xyz l x :   a parameter for displacing in parallel the image for x-axis l y :   a parameter for displacing in parallel the image for y-axis l z :   a parameter for displacing in parallel the image for z-axis s :   a parameter for magnifying or reducing the image in the x-, y-, and z-axis directions; a matrix P O for perspective-transforming on a predetermined screen surface said object image, said first side image, and said second side image mapped on said solid is expressed by the following equation: where, P z :   a perspective value at the time of perspective-transforming the solid in the three-dimensional space on the screen.

Claim 13

The image processing method according to claim 12, wherein said transformation matrix T O is a matrix having three lines and three rows excluding parameters of third line and third row which are parameters of z-axis.

Claim 14

The image processing method according to claim 12 or 13, wherein said object image to be mapped on a predetermined face of said solid is perspective-transformed on the screen by the transformation matrix T A expressed by the equation: T A = M A · T O · P O using said transformation matrixes M A , T O , and P O ; said first side image to be mapped on a predetermined face of said solid is perspective-transformed on the screen by the transformation matrix T B expressed by the equation: T B = M B · T O · P O using said transformation matrixes M B , T O , and P O ; and said second side image to be mapped on a predetermined face of said solid is perspective-transformed on the screen by the transformation matrix T C expressed by the equation: T C = M C · T O · P O using said transformation matrixes M C , T O , and P O .

Claim 15

The image processing method according to claim 11, comprising the steps of: determining the back or front face of said object image, said first side image and said second side image which are mapped on respective faces of said solid; mapping, on a face corresponding to said solid, the image having the front face as a result of said determination out of said object image, said first side image, and said second side image; mapping, on the facing plane of a face corresponding to said solid, the image having the back face as a result of said determination out of said object image, said first side image, and said second side image; and controlling said first side image and said second side image not to be displayed when said determination result is neither the back nor the front.

Claim 16

The image processing method according to claim 15, wherein: a transformation matrix M A ' for mapping said object image on a facing plane of said solid is expressed by the following equation: M A ' = L A ' · T rs where, L A ' :   a matrix for displacing the object image onto a facing plane of the solid T rs :   a matrix for transforming the object image in accordance with the shape of the facing plane of the solid; a transformation matrix M B ' for mapping said first side image on a facing plane of said solid is expressed by the following equation: M B ' = L BO · S B · R Bx · R Bz · L B ' where, L BO :   a matrix for displacing the first side image onto a standard position S B :   a matrix for displacing the first side image in accordance with the shape of the mapping face of the object image R Bx :   a matrix for rotating the first side image for a predetermined angle for the object image R Bz :   a matrix for rotating the first side image for an angle in accordance with the shape of the face of which the object image is mapped L B ' :   a matrix for displacing the first side image onto a predetermined position contacting with the face on which the object image of solid is mapped; a transformation matrix M C for mapping said first side image on a facing plane of said solid is expressed by the following equation: M C ' = L CO · S C · R Cx · R Cz · L C ' where, L CO :   a matrix for displacing the second side image to a standard position S C :   a matrix for displacing the second side image in accordance with the shape of the mapping face of the object image R Cx :   a matrix for rotating the second side image for a predetermined angle for the object image R Cz :   a matrix for rotating the second side image for an angle in accordance with the shape of the face of which the object image is mapped L C ' :   a matrix for displacing the second side image to a facing plane contacting with the face on which the object image of solid is mapped; a transformation matrix T O for displacing said object image, said first side image, and said second side image in accordance with the movement of said solid is expressed by the following equation: where, r 11 to r 33 :   parameters for transforming respective images for x-, y-, and z-axis of the three-dimensional coordinates of xyz l x :   a parameter for displacing in parallel the image for x-axis l y :   a parameter for displacing in parallel the image for y-axis l z :   a parameter for displacing in parallel the image for z-axis s :   a parameter for magnifying or reducing the image in the x-, y-, and z-axis directions; a matrix P O for perspective-transforming on a predetermined screen surface said object image, said first side image, and said second side image mapped on said solid is expressed by the following equation: where, P z :   a perspective value at the time of perspective-transforming the solid in the three-dimensional space on the screen.

Claim 17

The image processing method according to claim 14, wherein said determination of the back or front is performed based on the values of respective matrix equations of the above-described transformation matrixes T A , T B , and T C for perspective-transforming on the screen said object image, said first side image, and said second side image, which are three-dimensionally transformed on respective corresponding predetermined faces of the solid.

Claim 18

The image processing method according to claim 11, comprising: reduction rate priority mode for cutting out said object image, said first side image, and/or said second side image in a size corresponding to the mapping faces respectively, when said object image, said first side image, and/or said second side image are mapped on the corresponding faces of said solid respectively; and crop priority mode for reducing or magnifying the portion of previously cut out area of said object image, said first side image, and/or said second side image into a size corresponding to the mapping faces, when said object image, said first side image, and/or said second side image are mapped on the corresponding faces of said solid respectively.

Claim 19

The image processing method according to claim 15, wherein the front and back of the image of which said determined result is the back is changed, when said image is mapped on said facing plane corresponding to said solid.

Claim 20

The image processing method according to claim 12 or 13, wherein said object image written in said first memory, said first side image written in said second memory, and said second side image written in said third memory are read based on the inverse matrix of said transformation matrix T 0 respectively.