CN109884868B - Printing method and system of full-parallax holographic stereogram - Google Patents
Printing method and system of full-parallax holographic stereogram Download PDFInfo
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Abstract
The invention provides a printing method and a printing system of a full-parallax holographic stereogram. The printing method comprises the following steps: firstly, acquiring a projection relation of a connecting line of a point on a target camera frame and a camera on a holographic plane; and then, converting the target camera image acquired by the target camera method into a central camera image according to the projection relation, and finally, printing the central camera image, so that the technical defect that distortion is formed when the holographic stereogram acquired by the target camera method is directly used for printing the holographic stereogram is overcome, and the printing precision is improved.
Description
Technical Field
The invention relates to the field of holographic prompt map recording, in particular to a printing method and system of a full-parallax holographic stereogram.
Background
To perform holographic stereogram recording, usually by placing the tracks of a camera opposite a plane in a sample scene, this method of acquiring a sample image is called a simple camera method, and as shown in fig. 1, a holographic dry plate is placed on the focal plane of a simple camera to record a scene, called a holographic plane. For the simple camera method, a large field of view is often needed to acquire a scene image, only a small part of the image in the field of view can be utilized, and most of the image is wasted. To solve this problem, a target camera method may be adopted, as shown in fig. 2, by setting a target point to face the center of the object, so that the lens always faces the target point when the camera is translated, the image sampled by the camera always faces the object, and the field angle is smaller.
However, the object camera method may cause distortion when a hologram is recorded because a plane of a sample image is directly used for hologram view printing, which is different from a plane when a hologram is recorded.
Disclosure of Invention
The invention aims to provide a method and a system for printing a full-parallax holographic stereogram, which aim to overcome the technical defect that distortion is formed when the holographic stereogram acquired by adopting a target camera method is directly used for printing the holographic stereogram and improve the printing precision.
In order to achieve the purpose, the invention provides the following scheme:
a printing method of a full parallax holographic stereogram, the printing method comprising the steps of:
acquiring a target camera image by adopting a target camera method;
acquiring a projection relation of a connecting line of a point on a target camera frame and a camera on a holographic plane;
converting the target camera image into a central camera image according to the projection relation;
printing the center camera image.
Optionally, the obtaining of the projection relationship between the point on the frame of the target camera and the target camera connected to the holographic plane specifically includes:
establishing a world coordinate system by taking the center of the holographic plane as an origin;
using the world coordinate system to represent a vector k from the camera to a point on the holographic plane, obtaining a world coordinate system representation of the vector:
where k represents the vector of the camera to a point on the holographic plane,
and
points (x) respectively representing a holographic planar coordinate system2，y2) X-and y-coordinates in the world coordinate System, DxAnd DyRespectively the length and width of the holographic plane;
and
respectively representing x-axis coordinates and y-axis coordinates of a point (xi, eta) of a camera plane coordinate system in a world coordinate system, wherein W and V are the length and the width of a camera plane respectively;
and
a unit vector of an x axis, a unit vector of a y axis and a unit vector of a z axis in a world coordinate system, wherein h represents the distance between the holographic plane and the camera plane;
and expressing the points on the target camera frame by using the world coordinate system to obtain the world coordinate system expression of the points on the target camera frame:
wherein, P (x)1,y1) Coordinates representing a point P on the target camera frame in the target camera frame coordinate system,
coordinates representing the start of the target camera frame in the target camera frame coordinate system,
and
individual watchHorizontal and vertical viewing angles of the object-displaying camera, exAnd eyRespectively representing a unit vector of an x-axis and a unit vector of a y-axis on a frame coordinate system of the target camera, l represents a distance from a point on a camera plane to an origin,
θHrepresenting the angle of rotation, theta, about the y-axis of the world coordinate systemCRepresenting an angle of rotation about an x-axis of a world coordinate system;
establishing a projection equation P (x) of a connecting line of a point on a target camera frame and a camera on a holographic plane1,y1)+λk＝Q(x2,y2) Wherein, Q (x)2,y2) The coordinate of a point Q on the holographic plane in a holographic plane coordinate system is represented, and lambda represents a projection parameter;
and substituting the world coordinate system representation of the vector and the world coordinate system representation of the point on the target camera frame into the projection equation to solve to obtain the projection relation of the point on the target camera frame and the connecting line of the camera on the holographic plane:
where h represents the distance of the holographic plane from the target camera plane.
Optionally, the obtaining a world coordinate system representation of the vector by using the world coordinate system to represent the vector k from the camera to the point on the holographic plane specifically includes:
and expressing the points on the holographic plane by using the world coordinate system to obtain the world coordinates of the points on the holographic plane:
and
representing the position of the camera by using the world coordinate system, and obtaining the world coordinate of the position of the camera:
and determining a world coordinate system representation of the camera and the vector of the point on the holographic plane according to the world coordinate of the point on the holographic plane and the world coordinate of the position of the camera.
Optionally, the representing, by using the world coordinate system, the point on the target camera frame to obtain a world coordinate system representation of the point on the target camera frame specifically includes:
establishing points (x) of the holographic planar coordinate system2,y2,z2) A first equation of rotation about the y-axis of the world coordinate system
(x ', y ', z ') denotes a point (x) on the hologram plane2,y2,z2) A y-axis rotated coordinate, theta, around the y-axis of the world coordinate systemHRepresenting the angle of rotation about the y-axis of the world coordinate system,
establishing a second rotation equation for the y-axis rotated coordinates (x ', y ', z ') rotated around the x-axis of the world coordinate system
(x1,y1,z1) Representing the rotation of the coordinates (x ', y ', z ') around the x-axis of the world coordinate system after the y-axis rotation, to obtain the coordinates of the points on the target camera frame, thetaCRepresenting the angle of rotation about the x-axis of the world coordinate system,
mixing the above materialsSubstituting x-axis normal vector coordinates (1,0,0) of the object plane into the first rotation equation and the second rotation equation to obtain world coordinate system representation of x-axis unit vector of the frame coordinate system of the target camera
Substituting the holographic plane y-axis normal vector coordinates (0, 0, 1) into the first rotation equation and the second rotation equation to obtain world coordinate system representation of the y-axis unit vector of the frame coordinate system of the target camera
And obtaining the world coordinate system representation of the point on the target camera frame according to the world coordinate system representation of the x-axis unit vector of the target camera frame coordinate system and the world coordinate system representation of the y-axis unit vector of the target camera frame coordinate system.
Optionally, the converting the target camera frame into a central camera image according to the projection relationship specifically includes:
determining a pixel point (i) on said holographic plane2，j2) With holographic plane coordinates (x)2，y2) Obtaining the corresponding relation of the holographic plane;
wherein the content of the first and second substances,
representing the number of pixel points in the length direction of the holographic plane,
representing the number of pixel points in the width direction of the hologram plane;
determining a pixel point (i) on the holographic plane according to the projection relation and the holographic plane corresponding relation2，j2) Correspond toCoordinates of a point of the target camera frame of (1);
determining a pixel point (i) on the target camera frame1，j1) And target camera frame coordinates (x)1，y1) Obtaining a corresponding relation of the target camera frame;
according to the pixel point (i) on the holographic plane2，j2) The coordinates of the corresponding points of the target camera frame and the corresponding relation of the target camera frame determine the pixel points (i) on the target camera frame corresponding to the pixel points on the holographic plane1，j1)；
Adopting a double-line difference method to perform the pixel point (i) on the target camera frame corresponding to the pixel point on the holographic plane1，j1) Rounding is carried out to obtain a rounded pixel point (i)1'，j1')
Extracting the rounded pixel point (i)1'，j1') image data;
using said image data to pair pixel points (i) on said holographic plane2，j2) And carrying out assignment to obtain a central camera image.
A printing system for a full parallax holographic stereogram, the printing system comprising:
the image acquisition module is used for acquiring a target camera image by adopting a target camera method;
the projection relation acquisition module is used for acquiring the projection relation of a connecting line of a point on a target camera frame and the camera on the holographic plane;
the image conversion module is used for converting the target camera image into a central camera image according to the projection relation;
and the printing module is used for printing the central camera image.
Optionally, the projection relationship obtaining module specifically includes:
the world coordinate system establishing submodule is used for establishing a world coordinate system by taking the center of the holographic plane as an origin;
a world coordinate system representation obtaining submodule of the vector, configured to use the world coordinate system to represent a vector k from the camera to a point on the holographic plane, and obtain a world coordinate system representation of the vector:
where k represents the vector of the camera to a point on the holographic plane,
and
points (x) respectively representing a holographic planar coordinate system2，y2) X-and y-coordinates in the world coordinate System, DxAnd DyRespectively the length and width of the holographic plane;
and
respectively representing x-axis coordinates and y-axis coordinates of a point (xi, eta) of a camera plane coordinate system in a world coordinate system, wherein W and V are the length and the width of a camera plane respectively;
and
a unit vector of an x axis, a unit vector of a y axis and a unit vector of a z axis in a world coordinate system, wherein h represents the distance between the holographic plane and the camera plane;
a world coordinate system representation acquisition submodule of points on the target camera frame, configured to represent the points on the target camera frame using the world coordinate system, to obtain a world coordinate system representation of the points on the target camera frame:
wherein, P (x)1,y1) Coordinates representing a point P on the target camera frame in the target camera frame coordinate system,
coordinates representing the start of the target camera frame in the target camera frame coordinate system,
and
respectively representing the horizontal and vertical viewing angles of the subject camera, exAnd eyRespectively representing a unit vector of an x-axis and a unit vector of a y-axis on a frame coordinate system of the target camera, l represents a distance from a point on a camera plane to an origin,
θHrepresenting the angle of rotation, theta, about the y-axis of the world coordinate systemCRepresenting an angle of rotation about an x-axis of a world coordinate system;
a projection equation establishing submodule for establishing a projection equation P (x) of a connecting line of a point on a target camera frame and the camera on the holographic plane1,y1)+λk＝Q(x2,y2) Wherein, Q (x)2,y2) The coordinate of a point Q on the holographic plane in a holographic plane coordinate system is represented, and lambda represents a projection parameter;
the projection relation obtaining submodule is used for substituting the world coordinate system representation of the vector of the camera and the point on the holographic plane and the world coordinate system representation of the point on the target camera frame into the projection equation to carry out solution so as to obtain the projection relation of the connecting line of the point on the target camera frame and the camera on the holographic plane:
where h represents the distance of the holographic plane from the target camera plane.
Optionally, the world coordinate system of the vector represents an acquisition submodule, and specifically includes:
a world coordinate obtaining unit of the point on the holographic plane, which is used for representing the point on the holographic plane by using the world coordinate system to obtain the world coordinate of the point on the holographic plane:
and
a world coordinate acquisition unit of the position of the camera, which is used for representing the position of the camera by using the world coordinate system to obtain the world coordinate of the position of the camera:
and the world coordinate system representation acquisition unit of the vector is used for determining the world coordinate system representation of the camera and the vector of the point on the holographic plane according to the world coordinate of the point on the holographic plane and the world coordinate of the position of the camera.
Optionally, the world coordinate system of the point on the target camera frame represents an acquisition sub-module, which specifically includes:
a first rotational equation establishing unit for establishing a point (x) of the holographic planar coordinate system2,y2,z2) A first equation of rotation about the y-axis of the world coordinate system
(x ', y ', z ') denotes a point (x) on the hologram plane2,y2,z2) A y-axis rotated coordinate, theta, around the y-axis of the world coordinate systemHRepresenting the angle of rotation about the y-axis of the world coordinate system,
a second rotation equation establishing unit for establishing a second rotation equation of the y-axis rotated coordinates (x ', y ', z ') rotated around the x-axis of the world coordinate system
(x1,y1,z1) Representing the rotation of the coordinates (x ', y ', z ') around the x-axis of the world coordinate system after the y-axis rotation, to obtain the coordinates of the points on the target camera frame, thetaCRepresenting the angle of rotation about the x-axis of the world coordinate system,
a world coordinate system representation obtaining unit of the x-axis unit vector of the target camera frame coordinate system, configured to substitute the holographic plane x-axis normal vector coordinate (1,0,0) into the first rotation equation and the second rotation equation to obtain a world coordinate system representation of the x-axis unit vector of the target camera frame coordinate system
A world coordinate system representation obtaining unit of the y-axis unit vector of the target camera frame coordinate system, configured to substitute the holographic plane y-axis normal vector coordinate (0, 0, 1) into the first rotation equation and the second rotation equation to obtain a world coordinate system representation of the y-axis unit vector of the target camera frame coordinate system
And the world coordinate system representation acquisition unit is used for obtaining the world coordinate system representation of the point on the target camera frame according to the world coordinate system representation of the x-axis unit vector of the target camera frame coordinate system and the world coordinate system representation of the y-axis unit vector of the target camera frame coordinate system.
Optionally, the image conversion module specifically includes:
a holographic plane correspondence obtaining submodule for determining a pixel point (i) on said holographic plane2，j2) With holographic plane coordinates (x)2，y2) Obtaining the corresponding relation of the holographic plane;
wherein the content of the first and second substances,
representing the number of pixel points in the length direction of the holographic plane,
representing the number of pixel points in the width direction of the hologram plane;
a projection submodule for determining a pixel point (i) on the holographic plane according to the projection relation and the holographic plane correspondence relation2，j2) Coordinates of points of the corresponding target camera frame;
a target camera frame correspondence determination submodule for determining a pixel point (i) on the target camera frame1，j1) Obtaining a corresponding relation of the target camera frame with the corresponding relation of the target camera frame coordinates (x1, y 1);
a pixel point acquisition submodule on the target camera frame for acquiring a pixel point (i) from the holographic plane2，j2) The coordinates of the corresponding points of the target camera frame and the corresponding relation of the target camera frame determine the pixel points (i) on the target camera frame corresponding to the pixel points on the holographic plane1，j1)；
An integer-taking module for taking an integer value of a pixel point (i) on the target camera frame corresponding to the pixel point on the holographic plane by using a two-line difference method1，j1) Rounding is carried out to obtain a rounded pixel point (i)1'，j1')
An image data extraction submodule for extracting the rounded pixel point (i)1'，j1') image data;
an assignment submodule for using said image data to assign pixel points (i) on said holographic plane2，j2) And carrying out assignment to obtain a central camera image.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects:
the invention provides a printing method of a full parallax holographic stereogram. Firstly, acquiring a projection relation of a connecting line of a point on a target camera frame and a camera on a holographic plane; and then, converting the target camera image acquired by the target camera method into a central camera image according to the projection relation, and finally, printing the central camera image, so that the technical defect that distortion is formed when the holographic stereogram acquired by the target camera method is directly used for printing the holographic stereogram is overcome, and the printing precision is improved.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without inventive exercise.
FIG. 1 is a schematic diagram of a general camera method of view angle image acquisition provided by the present invention;
FIG. 2 is a schematic diagram of a target camera method view angle image acquisition provided by the present invention;
FIG. 3 is a flow chart of a method for printing a full-parallax holographic stereogram according to the present invention;
FIG. 4 is a schematic diagram of the present invention for acquiring a center camera image;
FIG. 5 is a schematic diagram of a world coordinate system established by the present invention;
FIG. 6 is a target camera frame, holographic plane and camera plane coordinate system established by the present invention;
FIG. 7 is a schematic diagram of the image conversion of the center camera of the present invention;
FIG. 8 is a parametric view of a camera plane and a holographic plane provided by the present invention;
FIG. 9 is a schematic diagram of the relationship acquisition of a target camera frame and a holographic plane provided by the present invention;
FIG. 10 is a diagram illustrating a correspondence between a pixel point and a coordinate according to the present invention;
FIG. 11 is a block diagram of a printing system for full parallax holographic stereogram according to the present invention;
FIG. 12 is a diagram of the effect of a center camera image distorting a directly acquired target camera image;
FIG. 13 is a diagram showing the effect of printing by the method for printing a full-parallax holographic stereogram according to the present invention;
FIG. 8(a) is a horizontal view, and FIG. 8(b) is a plan view; fig. 10(a) is a target camera frame map, fig. 10(b) is a hologram plane map, and fig. 10(c) is a camera plane map; fig. 12(a) is a target camera image, and fig. 12(b) is a center camera image.
Detailed Description
The invention aims to provide a method and a system for printing a full-parallax holographic stereogram, which aim to overcome the technical defect that distortion is formed when the holographic stereogram acquired by adopting a target camera method is directly used for printing the holographic stereogram and improve the printing precision.
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.
Example 1
The embodiment 1 of the invention provides a printing method of a full-parallax holographic stereogram.
As shown in fig. 3, the printing method includes the steps of:
301, acquiring a target camera image by adopting a target camera method;
step 302, acquiring a projection relation of a connecting line of a point on a target camera frame and a camera on a holographic plane;
step 303, converting the target camera image into a central camera image according to the projection relation;
step 304, printing the center camera image.
Example 2
Example 2 of the present invention provides a preferred embodiment of a method for printing a full-parallax holographic stereogram, but the practice of the present invention is not limited to the embodiment defined in example 2.
As shown in FIG. 4, the present invention converts the target camera image into the central camera image, records and prints the central camera image, overcomes the technical defect that the holographic stereogram acquired by the target camera method is directly used for holographic stereogram printing to form distortion, improves the printing precision, and provides a method for full parallax holographic stereogram printing
A volume view, a basic algorithm for converting a target camera image into a center camera image, specifically:
first, regarding the basic idea of acquiring a central image from a full-parallax hologram, how to acquire a projection of a connecting line between a point on a target camera frame and a camera point on a holographic plane can be considered by acquiring the central camera image from the target camera image, and the conversion principle is shown in fig. 7. Step 302, acquiring a projection relationship between a point on a frame of the target camera and the target camera connected to the holographic plane specifically includes:
with the saidThe center of the holographic plane is the origin to establish a world coordinate system, as shown in FIG. 5, where the right side of the camera
Is in the axial forward direction, and is below the camera
The axial direction is positive, and the direction from the holographic plane to the camera plane is negative
The axis is positive, and a world coordinate system is established
As shown in fig. 6, for the target camera frame, the hologram plane and the camera plane, the upper left endpoint is selected as the starting point. The corresponding coordinate systems are respectively marked as (x)1,y1)，(x2,y2)，(ξ,η)。
Using the world coordinate system to represent a vector k from the camera to a point on the holographic plane, obtaining a world coordinate system representation of the vector:
where, as shown in fig. 8, k denotes a vector of the camera to a point on the hologram plane,
and
points (x) respectively representing a holographic planar coordinate system2，y2) X-and y-coordinates in the world coordinate System, DxAnd DyRespectively the length and width of the holographic plane;
and
respectively representThe x-axis coordinate and the y-axis coordinate of a point (xi, eta) on a camera plane coordinate system under a world coordinate system, wherein W and V are the length and the width of a camera plane respectively;
and
a unit vector of an x axis, a unit vector of a y axis and a unit vector of a z axis in a world coordinate system, wherein h represents the distance between the holographic plane and the camera plane; specifically, the world coordinate system is used for representing the points on the holographic plane, and the world coordinates of the points on the holographic plane are obtained:
and
representing the position of the camera by using the world coordinate system, and obtaining the world coordinate of the position of the camera:
according to the world coordinates of the points on the holographic plane and the world coordinates of the position of the camera, determining the world coordinate system representation of the camera and the vectors of the points on the holographic plane, and using the world coordinate system to represent the points on the target camera frame to obtain the world coordinate system representation of the points on the target camera frame:
wherein, P (x)1,y1) Coordinates representing a point P on the target camera frame in the target camera frame coordinate system,
coordinates representing the start of the target camera frame in the target camera frame coordinate system,
and
respectively representing the horizontal and vertical viewing angles of the subject camera, exAnd eyRespectively representing a unit vector of an x-axis and a unit vector of a y-axis on a frame coordinate system of the target camera, l represents a distance from a point on a camera plane to an origin,
θHrepresenting the angle of rotation, theta, about the y-axis of the world coordinate systemCRepresenting an angle of rotation about an x-axis of a world coordinate system; specifically, as shown in fig. 9, first, the target point coincides with the center position of the hologram plane in the target camera method, and the target camera frame is always perpendicular to the target camera position, so that the coordinate system of the target camera frame can be regarded as a plane formed by rotating the normal vector (opposite to the z-axis direction) of the hologram plane to the position where the target point and the camera point form a vector. That is, to acquire the coordinate system of the target camera frame, the coordinate system of the hologram plane is simply rotated in a normal vector rotation manner. The method specifically comprises the following steps: establishing points (x) of the holographic planar coordinate system2,y2,z2) A first equation of rotation about the y-axis of the world coordinate system
(x ', y ', z ') denotes a point (x) on the hologram plane2,y2,z2) A y-axis rotated coordinate, theta, around the y-axis of the world coordinate systemHRepresenting the angle of rotation about the y-axis of the world coordinate system,
establishing a second rotation equation for the y-axis rotated coordinates (x ', y ', z ') rotated around the x-axis of the world coordinate system
(x1,y1,z1) To representThe coordinates (x ', y ', z ') rotate around the x axis of the world coordinate system after the y axis rotation to obtain the coordinates of the points on the target camera frame, thetaCRepresenting the angle of rotation about the x-axis of the world coordinate system,
substituting the holographic plane x-axis normal vector coordinates (1,0,0) into the first rotation equation and the second rotation equation to obtain the world coordinate system representation of the x-axis unit vector of the target camera frame coordinate system
Substituting the holographic plane y-axis normal vector coordinates (0, 0, 1) into the first rotation equation and the second rotation equation to obtain world coordinate system representation of the y-axis unit vector of the frame coordinate system of the target camera
And obtaining the world coordinate system representation of the point on the target camera frame according to the world coordinate system representation of the x-axis unit vector of the target camera frame coordinate system and the world coordinate system representation of the y-axis unit vector of the target camera frame coordinate system.
Establishing a projection equation P (x) of a connecting line of a point on a target camera frame and a camera on a holographic plane1,y1)+λk＝Q(x2,y2) Wherein, Q (x)2,y2) And the coordinate of a point Q on the holographic plane in the holographic plane coordinate system is shown, the lambda represents a projection parameter, and the point Q is a projection point of a point P on the target camera frame on the holographic plane.
Substituting the world coordinate system representation of the vector of the camera and the point on the holographic plane and the world coordinate system representation of the point on the target camera frame into the projection equation for solving to obtain the projection relation of the connecting line of the point on the target camera frame and the camera on the holographic plane:
where h represents the distance of the holographic plane from the target camera plane.
Specifically, the world coordinate system representation of the camera and the vector of the point on the holographic plane and the world coordinate system representation of the point on the target camera frame are substituted into the projection equation to obtain:
solving the system of equations to obtain:
step 103, converting the target camera frame into a central camera image according to the projection relationship, as shown in fig. 10, considering a discretized coordinate system, NI1,NJ1,NI2,NJ2,NK,NGRespectively representing the target camera frame, the holographic plane, the total number of discrete points in the horizontal and vertical directions of the camera plane, i1,j1,i2,j2And k and g represent horizontal and vertical coordinates of discrete points of a target camera frame, a holographic plane and a camera plane. The method specifically comprises the following steps: determining a pixel point (i) on said holographic plane2，j2) With holographic plane coordinates (x)2，y2) Obtaining the corresponding relation of the holographic plane;
obtaining a camera plane corresponding relation:
according to the pixel point (i) on the holographic plane2，j2) The coordinates of the corresponding points of the target camera frame and the corresponding relation of the target camera frame determine the pixel points (i) on the target camera frame corresponding to the pixel points on the holographic plane1，j1)；
Adopting a double-line difference method to perform the pixel point (i) on the target camera frame corresponding to the pixel point on the holographic plane1，j1) Rounding is carried out to obtain a rounded pixel point (i)1'，j1') to a host; extracting the rounded pixel point (i)1'，j1') image data; specifically, order
By applying bilinear interpolation
Wherein the content of the first and second substances,
respectively represent omega, upsilon, I (I)1,j1K, g) is the data on the target camera frame.
Using said image data to pair pixel points (i) on said holographic plane2，j2) Assigning to obtain central camera image, specifically, using formula
For pixel point (i) on the holographic plane2，j2) Carry out assignment, wherein i2∈N|i2≤NI2}，{j2∈N|j2≤NJ2}，{k∈N|k≤NK}，{g∈N|g≤NG}。
And transforming the data on all the target camera frames for the image data of the central camera corresponding to the data on the target camera frames to obtain a central camera image corresponding to the target camera image.
Example 3
As shown in fig. 11, the printing system includes:
an image acquisition module 1101 for acquiring a target camera image by a target camera method; a projection relation obtaining module 1102, configured to obtain a projection relation of a connection line between a point on a target camera frame and a camera on a holographic plane; an image conversion module 1103, configured to convert the target camera image into a center camera image according to the projection relationship; a printing module 1104 for printing the center camera image.
Example 4
Example 4 of the present invention provides a preferred embodiment of a printing system for full parallax holographic stereograms, but the practice of the present invention is not limited to the embodiment provided in example 4 of the present invention.
The projection relationship obtaining module 1102 specifically includes: the world coordinate system establishing submodule is used for establishing a world coordinate system by taking the center of the holographic plane as an origin; a world coordinate system representation obtaining submodule of the vector, configured to use the world coordinate system to represent a vector k from the camera to a point on the holographic plane, and obtain a world coordinate system representation of the vector:
where k represents the vector of the camera to a point on the holographic plane,
and
points (x) respectively representing a holographic planar coordinate system2，y2) X-and y-coordinates in the world coordinate System, DxAnd DyRespectively the length and width of the holographic plane;
and
respectively representing x-axis coordinates and y-axis coordinates of a point (xi, eta) of a camera plane coordinate system in a world coordinate system, wherein W and V are the length and the width of a camera plane respectively;
and
a unit vector of an x axis, a unit vector of a y axis and a unit vector of a z axis in a world coordinate system, wherein h represents the distance between the holographic plane and the camera plane; a world coordinate system representation acquisition submodule of points on the target camera frame, configured to represent the points on the target camera frame using the world coordinate system, to obtain a world coordinate system representation of the points on the target camera frame:
wherein, P (x)1,y1) Coordinates representing a point P on the target camera frame in the target camera frame coordinate system,
coordinates representing the start of the target camera frame in the target camera frame coordinate system,
and
respectively representing the horizontal and vertical viewing angles of the subject cameraAngle of view, exAnd eyRespectively representing a unit vector of an x-axis and a unit vector of a y-axis on a frame coordinate system of the target camera, l represents a distance from a point on a camera plane to an origin,
θHrepresenting the angle of rotation, theta, about the y-axis of the world coordinate systemCRepresenting an angle of rotation about an x-axis of a world coordinate system; a projection equation establishing submodule for establishing a projection equation P (x) of a connecting line of a point on a target camera frame and the camera on the holographic plane1,y1)+λk＝Q(x2,y2) Wherein, Q (x)2,y2) The coordinate of a point Q on the holographic plane in a holographic plane coordinate system is represented, lambda represents a projection parameter, and the point Q is a projection point of a point P on a target camera frame on the holographic plane; and the projection relation acquisition submodule is used for substituting the world coordinate system representation of the vector and the world coordinate system representation of the point on the target camera frame into the projection equation to solve to obtain the projection relation of the point on the target camera frame and the connecting line of the camera on the holographic plane:
where h represents the distance of the holographic plane from the target camera plane.
The world coordinate system of the vector represents an acquisition submodule, and specifically includes: a world coordinate obtaining unit of the point on the holographic plane, which is used for representing the point on the holographic plane by using the world coordinate system to obtain the world coordinate of the point on the holographic plane:
and
a world coordinate acquisition unit of the position of the camera, which is used for representing the position of the camera by using the world coordinate system to obtain the world coordinate of the position of the camera:
and the world coordinate system representation acquisition unit of the vector is used for determining the world coordinate system representation of the camera and the vector of the point on the holographic plane according to the world coordinate of the point on the holographic plane and the world coordinate of the position of the camera.
The world coordinate system of the point on the target camera frame represents an acquisition submodule, and specifically includes: a first rotational equation establishing unit for establishing a point (x) of the holographic planar coordinate system2,y2,z2) A first equation of rotation about the y-axis of the world coordinate system
(x ', y ', z ') denotes a point (x) on the hologram plane2,y2,z2) A y-axis rotated coordinate, theta, around the y-axis of the world coordinate systemHRepresenting the angle of rotation about the y-axis of the world coordinate system,
a second rotation equation establishing unit for establishing a second rotation equation of the y-axis rotated coordinates (x ', y ', z ') rotated around the x-axis of the world coordinate system
(x1,y1,z1) Representing the rotation of the coordinates (x ', y ', z ') around the x-axis of the world coordinate system after the y-axis rotation, to obtain the coordinates of the points on the target camera frame, thetaCRepresenting the angle of rotation about the x-axis of the world coordinate system,
a world coordinate system representation acquisition unit of an x-axis unit vector of a frame coordinate system of the target camera for substituting the x-axis normal vector coordinates (1,0,0) of the hologram plane into the first rotation partyThe second rotation equation is used for obtaining the world coordinate system representation of the x-axis unit vector of the target camera frame coordinate system
A world coordinate system representation obtaining unit of the y-axis unit vector of the target camera frame coordinate system, configured to substitute the holographic plane y-axis normal vector coordinate (0, 0, 1) into the first rotation equation and the second rotation equation to obtain a world coordinate system representation of the y-axis unit vector of the target camera frame coordinate system
And the world coordinate system representation acquisition unit is used for obtaining the world coordinate system representation of the point on the target camera frame according to the world coordinate system representation of the x-axis unit vector of the target camera frame coordinate system and the world coordinate system representation of the y-axis unit vector of the target camera frame coordinate system.
The image conversion module 1103 specifically includes: a holographic plane correspondence obtaining submodule for determining a pixel point (i) on said holographic plane2，j2) With holographic plane coordinates (x)2，y2) Obtaining the corresponding relation of the holographic plane;
wherein the content of the first and second substances,
representing the number of pixel points in the length direction of the holographic plane,
representing the number of pixel points in the width direction of the hologram plane;
a projection submodule for determining a pixel point (i) on the holographic plane according to the projection relation and the holographic plane correspondence relation2，j2) Corresponding target phaseCoordinates of points of the frame;
a target camera frame correspondence determination submodule for determining a pixel point (i) on the target camera frame1，j1) Obtaining a corresponding relation of the target camera frame with the corresponding relation of the target camera frame coordinates (x1, y 1);
a pixel point acquisition submodule on the target camera frame for acquiring a pixel point (i) from the holographic plane2，j2) The coordinates of the corresponding points of the target camera frame and the corresponding relation of the target camera frame determine the pixel points (i) on the target camera frame corresponding to the pixel points on the holographic plane1，j1)；
An integer-taking module for taking an integer value of a pixel point (i) on the target camera frame corresponding to the pixel point on the holographic plane by using a two-line difference method1，j1) Rounding is carried out to obtain a rounded pixel point (i)1'，j1')
An image data extraction submodule for extracting the rounded pixel point (i)1'，j1') image data;
an assignment submodule for using said image data to assign pixel points (i) on said holographic plane2，j2) And carrying out assignment to obtain a central camera image.
Example 5
In order to illustrate the printing effect of the printing method and system of the present invention, embodiment 5 of the present invention provides a specific embodiment of a printing method and system for a full-parallax holographic stereogram.
A teapot model with a sleeping cat paste is used as a three-dimensional scene, wherein the size of the teapot is 3.2 in width, 2.4 in height and 4.8cm in depth, a teapot handle is inclined by 40 degrees, a target camera is 18.6cm away from the three-dimensional scene, the field angle of the camera is 45 degrees, the sampling distance of the selected camera is 0.2cm, the horizontal length and the vertical length of a track are 20.2cm, the horizontal position and the vertical position of the camera are 102, the total sampling number is 3, the scene sampling is carried out according to the setting, and then the obtained target camera sampling image is processed by using the method provided by the invention.
As shown in fig. 12, it can be seen that the original sampled image is deformed by directly converting the target camera image into the center camera image, and the original sampled image is also enlarged in addition to the deformation, which is caused by the difference between the size of the center camera sampled image and the size of the projected hologram plane.
The transformed image is enlarged in addition to the distortion, which is caused by the difference in size of the central camera sample image and the size of the projected holographic plane. The central camera image obtained by the method provided by the invention is applied to holographic volume view printing, and the printing result is shown in FIG. 13. Compared with the sampling image of a simple camera, the central camera image obtained by processing the target camera image by the method provided by the invention can more fully utilize the data of the sampling image, and compared with the target camera image obtained by the target camera method, the target camera image is directly used for printing, so that distortion is not formed, and a full-parallax holographic stereogram with a good effect is obtained.
The embodiments in the present description are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other. For the system disclosed by the embodiment, the description is relatively simple because the system corresponds to the method disclosed by the embodiment, and the relevant points can be referred to the method part for description.
The principle and the implementation manner of the present invention are explained by applying specific examples, the above description of the embodiments is only used to help understanding the method of the present invention and the core idea thereof, the described embodiments are only a part of the embodiments of the present invention, not all embodiments, and all other embodiments obtained by a person of ordinary skill in the art based on the embodiments of the present invention without creative efforts belong to the protection scope of the present invention.
Claims (8)
1. A printing method of full parallax holographic stereogram is characterized by comprising the following steps:
acquiring a target camera image by adopting a target camera method;
acquiring a projection relation of a connecting line of a point on a target camera frame and a camera on a holographic plane;
converting the target camera image into a central camera image according to the projection relation;
printing the center camera image;
the acquiring of the projection relationship between the point on the target camera frame and the camera connected to the holographic plane specifically includes:
establishing a world coordinate system by taking the center of the holographic plane as an origin;
using the world coordinate system to represent a vector k from the camera to a point on the holographic plane, obtaining a world coordinate system representation of the vector:
where k represents the vector of the camera to a point on the holographic plane,
and
points (x) respectively representing a holographic planar coordinate system2，y2) X-and y-coordinates in the world coordinate System, DxAnd DyRespectively the length and width of the holographic plane;
and
respectively representing x-axis coordinates and y-axis coordinates of a point (xi, eta) on a camera plane coordinate system under a world coordinate system, wherein W and V are the length and the width of a camera plane respectively;
and
a unit vector of an x axis, a unit vector of a y axis and a unit vector of a z axis in a world coordinate system;
and expressing the points on the target camera frame by using the world coordinate system to obtain the world coordinate system expression of the points on the target camera frame:
wherein, P (x)1,y1) Coordinates representing a point P on the target camera frame in the target camera frame coordinate system,
coordinates representing the start of the target camera frame in the target camera frame coordinate system,
and
respectively representing the horizontal and vertical viewing angles of the subject camera, exAnd eyRespectively representing a unit vector of an x axis and a unit vector of a y axis on a target camera frame coordinate system;
establishing a projection equation P (x) of a connecting line of a point on a target camera frame and a camera on a holographic plane1,y1)+λk＝Q(x2,y2) Wherein, Q (x)2,y2) Representing the coordinates of a point Q on the holographic plane in a holographic plane coordinate system;
and substituting the world coordinate system representation of the vector and the world coordinate system representation of the point on the target camera frame into the projection equation to solve to obtain the projection relation of the point on the target camera frame and the connecting line of the camera on the holographic plane:
where h represents the distance of the holographic plane from the camera plane.
2. The method for printing a full parallax holographic stereogram as claimed in claim 1, wherein said using said world coordinate system to represent a vector k from said camera to a point on said holographic plane to obtain a world coordinate system representation of said vector comprises:
and expressing the points on the holographic plane by using the world coordinate system to obtain the world coordinates of the points on the holographic plane:
and
representing the position of the camera by using the world coordinate system, and obtaining the world coordinate of the position of the camera:
and determining a world coordinate system representation of the camera and the vector of the point on the holographic plane according to the world coordinate of the point on the holographic plane and the world coordinate of the position of the camera.
3. The method for printing a full parallax holographic stereogram as claimed in claim 1, wherein said using said world coordinate system to represent points on said target camera frame to obtain a world coordinate system representation of points on said target camera frame comprises:
establishing points (x) of the holographic planar coordinate system2,y2,z2) A first equation of rotation about the y-axis of the world coordinate system
(x ', y ', z ') denotes a point (x) on the hologram plane2,y2,z2) A y-axis rotated coordinate, theta, around the y-axis of the world coordinate systemHRepresenting the angle of rotation about the y-axis of the world coordinate system,
establishing a second rotation equation for the y-axis rotated coordinates (x ', y ', z ') rotated around the x-axis of the world coordinate system
(x1,y1,z1) Representing the rotation of the coordinates (x ', y ', z ') around the x-axis of the world coordinate system after the y-axis rotation, to obtain the coordinates of the points on the target camera frame, thetaCRepresenting the angle of rotation about the x-axis of the world coordinate system,
substituting the holographic plane x-axis normal vector coordinates (1,0,0) into the first rotation equation and the second rotation equation to obtain the world coordinate system representation of the x-axis unit vector of the target camera frame coordinate system
Substituting the holographic plane y-axis normal vector coordinates (0, 0, 1) into the first rotation equation and the second rotation equation to obtain world coordinate system representation of the y-axis unit vector of the frame coordinate system of the target camera
And obtaining the world coordinate system representation of the point on the target camera frame according to the world coordinate system representation of the x-axis unit vector of the target camera frame coordinate system and the world coordinate system representation of the y-axis unit vector of the target camera frame coordinate system.
4. The method for printing a full parallax holographic stereogram according to claim 1, wherein said converting the target camera frame into a central camera image according to the projection relationship specifically comprises:
determining a pixel point (i) on said holographic plane2，j2) With holographic plane coordinates (x)2，y2) Obtaining the corresponding relation of the holographic plane;
wherein the content of the first and second substances,
representing the number of pixel points in the length direction of the holographic plane,
representing the number of pixel points in the width direction of the hologram plane;
determining a pixel point (i) on the holographic plane according to the projection relation and the holographic plane corresponding relation2，j2) Coordinates of points of the corresponding target camera frame;
determining the targetPixel Point (i) on Camera frame1，j1) And target camera frame coordinates (x)1，y1) Obtaining a corresponding relation of the target camera frame;
according to the pixel point (i) on the holographic plane2，j2) The coordinates of the corresponding points of the target camera frame and the corresponding relation of the target camera frame determine the pixel points (i) on the target camera frame corresponding to the pixel points on the holographic plane1，j1)；
Adopting a double-line difference method to perform the pixel point (i) on the target camera frame corresponding to the pixel point on the holographic plane1，j1) Rounding is carried out to obtain a rounded pixel point (i)1'，j1')
Extracting the rounded pixel point (i)1'，j1') image data;
using said image data to pair pixel points (i) on said holographic plane2，j2) And carrying out assignment to obtain a central camera image.
5. A printing system for a full parallax holographic stereogram, the printing system comprising:
the image acquisition module is used for acquiring a target camera image by adopting a target camera method;
the projection relation acquisition module is used for acquiring the projection relation of a connecting line of a point on a target camera frame and the camera on the holographic plane;
the image conversion module is used for converting the target camera image into a central camera image according to the projection relation;
a printing module for printing the central camera image;
the projection relationship obtaining module specifically includes:
the world coordinate system establishing submodule is used for establishing a world coordinate system by taking the center of the holographic plane as an origin;
a world coordinate system representation obtaining submodule of the vector, configured to use the world coordinate system to represent a vector k from the camera to a point on the holographic plane, and obtain a world coordinate system representation of the vector:
where k represents the vector of the camera to a point on the holographic plane,
and
points (x) respectively representing a holographic planar coordinate system2，y2) X-and y-coordinates in the world coordinate System, DxAnd DyRespectively the length and width of the holographic plane;
and
respectively representing x-axis coordinates and y-axis coordinates of a point (xi, eta) on a camera plane coordinate system under a world coordinate system, wherein W and V are the length and the width of a camera plane respectively;
and
a unit vector of an x axis, a unit vector of a y axis and a unit vector of a z axis in a world coordinate system;
a world coordinate system representation acquisition submodule of points on the target camera frame, configured to represent the points on the target camera frame using the world coordinate system, to obtain a world coordinate system representation of the points on the target camera frame:
wherein, P (x)1,y1) Coordinates representing a point P on the target camera frame in the target camera frame coordinate system,
coordinates representing the start of the target camera frame in the target camera frame coordinate system,
and
respectively representing the horizontal and vertical viewing angles of the subject camera, exAnd eyRespectively representing a unit vector of an x axis and a unit vector of a y axis on a target camera frame coordinate system;
a projection equation establishing submodule for establishing a projection equation P (x) of a connecting line of a point on a target camera frame and the camera on the holographic plane1,y1)+λk＝Q(x2,y2) Wherein, Q (x)2,y2) Representing the coordinates of a point Q on the holographic plane in a holographic plane coordinate system;
and the projection relation acquisition submodule is used for substituting the world coordinate system representation of the vector and the world coordinate system representation of the point on the target camera frame into the projection equation to solve to obtain the projection relation of the point on the target camera frame and the connecting line of the camera on the holographic plane:
where h represents the distance of the holographic plane from the target camera plane.
6. The printing system of a full parallax holographic stereogram as claimed in claim 5, wherein the world coordinate system representation of the vector comprises an acquisition submodule, which comprises:
a world coordinate obtaining unit of the point on the holographic plane, which is used for representing the point on the holographic plane by using the world coordinate system to obtain the world coordinate of the point on the holographic plane:
and
a world coordinate acquisition unit of the position of the camera, which is used for representing the position of the camera by using the world coordinate system to obtain the world coordinate of the position of the camera:
and the world coordinate system representation acquisition unit of the vector is used for determining the world coordinate system representation of the camera and the vector of the point on the holographic plane according to the world coordinate of the point on the holographic plane and the world coordinate of the position of the camera.
7. The printing system of a full parallax holographic stereogram as claimed in claim 5, wherein the world coordinate system of the point on the target camera frame represents the acquisition submodule, which comprises:
a first rotational equation establishing unit for establishing a point (x) of the holographic planar coordinate system2,y2,z2) A first equation of rotation about the y-axis of the world coordinate system
(x ', y ', z ') denotes a point (x) on the hologram plane2,y2,z2) A y-axis rotated coordinate, theta, around the y-axis of the world coordinate systemHRepresenting the angle of rotation about the y-axis of the world coordinate system,
a second rotation equation establishing unit for establishing a second rotation equation of the y-axis rotated coordinates (x ', y ', z ') rotated around the x-axis of the world coordinate system
(x1,y1,z1) Representing the rotation of the coordinates (x ', y ', z ') around the x-axis of the world coordinate system after the y-axis rotation, to obtain the coordinates of the points on the target camera frame, thetaCRepresenting the angle of rotation about the x-axis of the world coordinate system,
a world coordinate system representation obtaining unit of the x-axis unit vector of the target camera frame coordinate system, configured to substitute the holographic plane x-axis normal vector coordinate (1,0,0) into the first rotation equation and the second rotation equation to obtain a world coordinate system representation of the x-axis unit vector of the target camera frame coordinate system
A world coordinate system representation obtaining unit of the y-axis unit vector of the target camera frame coordinate system, configured to substitute the holographic plane y-axis normal vector coordinate (0, 0, 1) into the first rotation equation and the second rotation equation to obtain a world coordinate system representation of the y-axis unit vector of the target camera frame coordinate system
And the world coordinate system representation acquisition unit is used for obtaining the world coordinate system representation of the point on the target camera frame according to the world coordinate system representation of the x-axis unit vector of the target camera frame coordinate system and the world coordinate system representation of the y-axis unit vector of the target camera frame coordinate system.
8. The printing system of a full parallax holographic stereogram as claimed in claim 5, wherein said image conversion module specifically comprises:
a holographic plane correspondence obtaining submodule for determining a pixel point (i) on said holographic plane2，j2) With holographic plane coordinates (x)2，y2) Obtaining the corresponding relation of the holographic plane;
wherein the content of the first and second substances,
representing the number of pixel points in the length direction of the holographic plane,
representing the number of pixel points in the width direction of the hologram plane;
a projection submodule for determining a pixel point (i) on the holographic plane according to the projection relation and the holographic plane correspondence relation2，j2) Coordinates of points of the corresponding target camera frame;
a target camera frame correspondence determination submodule for determining a pixel point (i) on the target camera frame1，j1) Obtaining a corresponding relation of the target camera frame with the corresponding relation of the target camera frame coordinates (x1, y 1);
a pixel point acquisition submodule on the target camera frame for acquiring a pixel point (i) from the holographic plane2，j2) The coordinates of the corresponding points of the target camera frame and the corresponding relation of the target camera frame determine the pixel points (i) on the target camera frame corresponding to the pixel points on the holographic plane1，j1)；
An integer-taking module for taking an integer value of a pixel point (i) on the target camera frame corresponding to the pixel point on the holographic plane by using a two-line difference method1，j1) Rounding is carried out to obtain a rounded pixel point (i)1'，j1')
An image data extraction submodule for extracting the rounded pixel point (i)1'，j1') image data;
an assignment submodule for using said image data to assign pixel points (i) on said holographic plane2，j2) And carrying out assignment to obtain a central camera image.
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| CN111260644B (en) * | 2020-02-17 | 2023-12-08 | 中国人民解放军陆军装甲兵学院 | Image quality evaluation method and system for full parallax holographic volume view reproduction image |
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