Methods of hologram construction using computer-processed objects

A method of calculating views from each portion of a flat recording plane which can be used to form a three-dimensional image which straddles the recording plane, comprising the steps of:

• defining a vertical center line which lies on said recording plane,
• dividing said recording plane into a plurality of contiguous narrow but tall elements,
• collecting a plurality of views of an object scene from observation points which lie on a straight line in the recording plane,
• representing each of said views as an array of viewplane pixels in a viewplane,
• defining a window at a distance from the recording plane for each of said elements, each window being divided into an array of window pixels,
• assigning the pixels in every array of viewplane pixels to a window of an element, wherein the position of said element is determined by the equation
• a=x'.sub.p +q
• where x'.sub.p is the horizontal distance in the viewplane between the viewplane column and a central point of the viewplane, and q is the horizontal distance between a central point in the viewplane and the center line of the recording plane,
• relocating each pixel in a column of viewplane pixels to a pixel location in a column of window pixels of the window of said element, where this location is determined by the equations ##EQU16## and the intensity value of a window pixel is derived from the intensity value of a corresponding viewplane pixel,
• where x.sub.p and y.sub.p are the horizontal and vertical distances of the window pixel from a central point in the window, y'.sub.p is the vertical distance of the viewplane pixel from a central point in the viewplane, and z.sub.p and e are selected constants, and
• determining intensity values for the window pixels in each said window, which can be used to construct a three-dimensional image.

A method of recording a three dimensional image comprising the steps of:

• defining an observation surface containing a series of observation points from which conventional views of an object scene are collected,
• representing each of the conventional views as a viewplane, each viewplane containing an array of viewplane pixels,
• defining a recording surface at a significant distance from said observation surface, said recording surface being divided into a plurality of contiguous, optically independent elements,
• defining for each of said elements a window containing an array of window pixels,
• filling each window with window pixel intensity values representing image data unique to a said element by selecting a window pixel intensity value for each of the window pixels, each of said window pixel intensity values being derived from the intensity value of a viewplane pixel, the selection being carried out independently of the intensity values and locations of the other viewplane pixels, and
• recording an image of each array of window pixels and its intensity values in a respective element,
• whereby a recording is made on a surface significantly distant from the observation surface over which original object views are collected and from which a three-dimensional image of the object may be observed.

A method of recording a three dimensional image comprising the steps of:

• defining an observation surface containing a series of observation points from which conventional views of an object scene are collected,
• representing each of the conventional views as a viewplane, each viewplane containing an array of viewplane pixels,
• defining a holographic surface at a significant distance from said observation surface and which is at least partially coincident with the three dimensional image recorded on the holographic surface, said holographic surface being divided into a plurality of contiguous hologram elements,
• defining a window containing an array of window pixels for each of said hologram elements,
• for each window pixel, selecting a window pixel intensity value derived from one of the conglomerate of all viewplane pixel values in all viewplanes to provide a completed window which contains only the image data necessary for creating the corresponding element,
• recording an image of each of the window pixels and its intensity value in a respective hologram element,
• whereby a hologram is constructed on a surface that is spatially at least partially coincident with its three-dimensional image of the object.

A product made by the method of recording a three dimensional image comprising the steps of:

• defining an observation surface containing a series of observation points from which conventional views of an object scene are collected,
• representing each of the conventional views as a viewplane, each viewplane containing an array of viewplane pixels,
• defining a holographic surface with a convex side facing an observer and that is at a significant distance from said observation surface, said holographic surface being divided into a plurality of contiguous hologram elements,
• defining a window containing an array of window pixels for each of said hologram elements,
• for each window pixel, selecting a window pixel intensity value derived from one of the conglomerate of all viewplane pixel values in all viewplanes to provide a completed window which contains only the image data necessary for creating the corresponding element,
• recording an image of each of the window pixels and its intensity value in a respective hologram element,
• whereby a hologram is constructed on a surface significantly distant from the observation surface over which original object views are collected and from which a three-dimensional image of the object may be observed.

A method of calculating views from each portion of a flat recording plane which can be used to form a three-dimensional image of an object, wherein the recording plane is in the vicinity of the image, comprising the steps of

• dividing said recording plane into a plurality of contiguous, narrow, and tall elements,
• collecting a plurality of views of an object from viewpoints which lie on an arc of a circle whose center is in the vicinity of the object and representing each of said views as an array of viewplane pixels in a viewplane,
• for each of said elements, defining a window at a distance from said elements, each window being divided into an array of window pixels,
• relocating viewplane pixels to window pixel locations in the windows, according to the equation ##EQU17## wherein the intensity value of a window pixel is derived from the intensity value of a corresponding viewplane pixel and where y.sub.p is the vertical distance of the window pixel from the central point in the window, and y'.sub.p is the vertical distance of the viewplane pixel from a central point in the viewplane, .alpha. is the angle between a line which is perpendicular to the recording plane and a horizontal line joining the viewpoint and the center of the arc of the circle, and z.sub.p is a selected constant,
• in each respective element of the recording plane, recording an image of the intensity values of the window pixels of the window corresponding to the respective element, and
• forming a recording plane from which a three-dimensional image can be observed.

A method of constructing a hologram, comprising the steps of:

• collecting a multiplicity of conventional perspective views of an object scene from a series of observation points on an observation surface,
• representing each of said multiplicity of conventional perspective views as a viewplane, each viewplane containing array of viewplane pixels,
• defining a hologram recording surface at a significant distance from the observation surface,
• dividing the hologram recording surface into a plurality of contiguous, optically independent elements,
• defining a window at a distance from said hologram recording surface for each of said hologram surface elemental areas,
• filling each window with window pixel intensity values representing image data unique to a said element and for which the intensity value of each window pixel is selected independently of the intensity values of the other pixels by (a) for a first one of said window pixels, choosing a window pixel intensity value that is derived from the intensity value of first viewplane pixel in a location in a viewplane that is not dependent on the relative location of said window pixel in said window, (b) for a second one of said window pixels choosing a second window pixel intensity value that is derived from the intensity value of a second viewplane pixel in a location in a viewplane that is not dependent on the relative location of said second window pixel in said window, and (c) for each of the remaining said window pixels, choosing a window pixel intensity value that is derived from the intensity value of a respective viewplane pixel in a location in a viewplane that is not dependent on the relative location of said remaining window pixels in said window, and
• constructing a hologram, in each of at least some of said elemental areas by use of the intensity variation across its associated window,
• whereby a completed hologram is formed that is capable of reconstructing an image of said object scene.

A method of constructing a hologram comprising the steps of:

• collecting a first series of images of an object from a series of observation points located on a surface which is relatively distant from said object,
• representing each of the images of the object as a viewplane, each viewplane containing an array of viewplane pixels,
• defining a hologram surface which is relatively close to the object,
• dividing the hologram surface into contiguous, optically independent hologram elements,
• defining for each of said elements a window containing an array of window pixels,
• generating a second series of images by, for each viewplane, sequentially reassigning each viewplane pixel to a new position in an array of window pixels by:
• (a) for a first window pixel, choosing a first window pixel intensity value based on the intensity of a first viewplane pixel,
• (b) for a second window pixel, choosing a second window pixel intensity value based on the intensity of a second viewplane pixel, and
• (c) for each subsequent window pixel, choosing a subsequent window pixel intensity value based on the intensity of a respective one of the subsequent viewplane pixels, thus constructing windows with pixel arrays containing only image data for the construction of each hologram element, and
• recording the second series of images as holographic images in each of the hologram elements,
• whereby a completed hologram is formed that is capable of reconstructing an image of said object.

A product made by the process of

• defining an observation surface containing a series of observation points from which conventional views of an object scene are collected,
• representing each of the conventional views as a viewplane, each viewplane containing an array of viewplane pixels,
• defining a recording surface at a significant distance from said observation surface, said recording surface being divided into a plurality of optically independent, contiguous elements,
• defining a window containing an array of window pixels for each of said elements,
• for each window pixel, selecting a window pixel intensity value derived from one of the conglomerate of all viewplane pixel values in all viewplanes to provide a completed window that contains only the image data necessary for creating the corresponding element,
• recording in each element a Fourier transform of its associated window with its window pixels,
• whereby a recording is constructed on a surface significantly distant from the observation surface over which original object views are collected and from which a three-dimensional image of the object may be observed.

A method of recording a three-dimensional image comprising the steps of:

• defining a planar observation surface containing a series of observation points from which conventional views of an object scene are collected,
• representing each of the conventional views as a viewplane, each viewplane containing an array of viewplane pixels,
• defining a planar recording surface at a significant distance from said planar observation surface which is divided into a plurality of contiguous surface elements,
• defining for each surface element, a window containing an array of window pixels,
• relocating viewplane pixels to window pixels whose locations in the windows are determined by the equation ##EQU19## wherein the intensity values of the window pixels are derived from the intensity values of the corresponding viewplane pixels and where x.sub.p and y.sub.p are the horizontal and vertical distances of the window pixels from a central point in the window, q and r are horizontal and vertical distances from the observation point to a central point in the recording plane, e and z.sub.p are selected constants, and a and b are determined by the equation ##EQU20## where x'.sub.p and y'.sub.p are the horizontal and vertical distances of the viewplane pixels from the central point in the viewplane,
• recording in the surface elements, images of their related windows together with the window pixels,
• thereby forming a recording plane from which a three-dimensional image can be observed.

A method of recording a three-dimensional image comprising the steps of:

• defining a spherical surface containing a series of observation points from which conventional perspective views of an object scene are collected,
• representing each of the conventional perspective views as a viewplane, each viewplane containing an array of viewplane pixels,
• defining a planar recording surface at a significant distance from said spherical surface which is divided into a plurality of contiguous surface elements,
• defining for each surface element, a window containing an array of window pixels,
• relocating viewplane pixels to window pixels whose location in the window is determined by the equation ##EQU21## wherein the intensity values of the window pixels are derived from the intensity values of the corresponding viewplane pixels,
• where x.sub.p and y.sub.p are the horizontal and vertical distances of the window pixels from a central point in the window, .alpha. and .phi. are the horizontal and vertical angles between a perpendicular to the recording plane and a line joining the observation point to the center of the sphere on which the spherical surface is located, d and z.sub.p are selected constants, and `a` and b are determined by the equation ##EQU22## where x'.sub.p and y'.sub.p are the horizontal and vertical distances of the viewplane pixels from the central point in the viewplane,
• recording in the surface elements, images of their related windows together with the window pixels,
• thereby forming a recording plane from which a three-dimensional image can be observed.