Method of map reproduction on a portion of a sphere

Claim 1

A METHOD OF PRODUCING A GLOBAL MAP SECTION COMPRISING PROVIDING A TRANSPARENT DIMENSIONALLY STABLE HEMISPHERICAL SHELL WITH A PHOTOSENSITIVE EMULSION ON ONE SURFACE THEREOF, PROJECTING A FLAT POLAR STEREOGRAPHIC MAP THROUGH AN OPTICAL LENS HAVING A RELATIVE APERTURE TO PROVIDE ACCURATE DEFINITION IN A DEPTH OF FOCUS AT LEAST EQUAL TO THE RADIUS OF THE HEMISPHERICAL SHELL, POSITIONING THE PHOTOSENSITIVE COATED HEMISPHERICAL SHELL CONCAVE SURFACE TOWARD THE LENS WITH A POLE THEREOF ON THE OPTICAL AXIS WITH A TANGENT TO THE POLE PERPENDICULAR TO THE OPTICAL AXIS AND LOCATED A DISTANCE TWICE THE RADIUS OF THE HEMISPHERE FROM A NODAL POINT OF THE PROJECTION LENS, EXPOSING AND DEVELOPING THE SO POSITIONED PHOTOSENSITIVE COATED HEMISPHERICAL SHELL.

Claim 2

A METHOD OF PRODUCING A GLOBAL MAP SECTION COMPRISING PROVIDING A TRANSPARENT DIMENSIONALLY STABLE HEMISPHERICAL SHELL WITH A PHOTOSENSITIVE EMULSION ON ONE SURFACE THEREOF, PROJECTING A FLAT POLAR STEREOGRAPHIC MAP THROUGH AN OPTICAL LENS HAVING A RELATIVE APERTURE TO PROVIDE ACCURATE DEFINITION IN A DEPTH OF FOCUS AT LEAST EQUAL TO THE RADIUS OF THE HEMISPHERICAL SHELL, POSITIONING THE PHOTOSENSITIVE COATED HEMISPHERICAL SHELL CONCAVE SURFACE TOWARD THE LENS WITH A POLE THEREOF ON THE OPTICAL AXIS WITH A TANGENT TO THE POLE PERPENDICULAR TO THE OPTICAL AXIS AND LOCATED A DISTANCE TWICE THE RADIUS OF THE HEMISPHERE FROM A NODAL POINT OF THE PROJECTION LENS, EXPOSING AND DEVELOPING THE SO POSITIONED PHOTOSENSITIVE COATED HEMISPHERICAL SHELL.

Claim 3

A METHOD OF PRODUCING A GLOBAL MAP SECTION COMPRISING; PROJECTING A STANDARD TWO DIMENSIONAL FLAT MAP MADE BY A GEOMETRICAL PROJECTION FROM ATHEORETICAL SPHERE REPRESENTING THE EARTH AND THEREBY HAVING BUILT-IN DISTORTION THROUGH AN OPTICAL PROJECTION SYSTEM, FOCUSING THE PROJECTED IMAGE UPON A PLANE A DISTANCE AWAY FROM A PROJECTING LENS OF THE OPTICAL PORJECTION EQUAL TO AT LEAST TWICE A RADIUS OF A SPHERICAL SHELL SECTION UPON WHICH THE GLOBAL MAP IS TO BE PRODUCED, ADJUSTING THE RELATIVE APERTURE OF SAID PROJECTING LENS TO PROJECT A SUBSTANTIAL DEPTH OF FOCUS, POSITIONING A PORTION OF A DIMENSIONALLY STABLE SPHERICAL SHELL HAVING A PHOTOSENSITIVE COATING THEREON IN THE IMAGE SPACE OF SAID PROJECTION WITH THE CONCAVE SURFACE OF THE SHELL TOWARD THE PROJECTING LENS SUCH THAT A NODAL POINT OF THE PROJECTION LENS WILL COINCIDE WITH A THEORETICAL PROJECTION POINT UTILIZED FOR MAKING THE GEOMETRICAL PROJECTION OF THE MAP AND SUCH THAT A TANGENT TO THE PHOTOSENSITIVE COATING ON SAID SPHERICAL SHELL WILL BE PERDICULAR TO THE OPTICAL AXIS AT A DISTANCE EQUAL TO TWICE THE RADIUS OF THE SPHERICAL SECTION FROM THE NODAL POINT OF THE LENS, THEREBY EXPOSING THE PHOTOSENSITIVE COATING, AND DEVELOPING THE SO EXPOSED COATING.

Claim 4

A METHOD OF PRODUCING A GLOBAL MAP SECTION COMPRISING; PROJECTING A STANDARD TWO DIMENSIONAL FLAT MAP MADE BY A GEOMETRICAL PROJECTION FROM ATHEORETICAL SPHERE REPRESENTING THE EARTH AND THEREBY HAVING BUILT-IN DISTORTION THROUGH AN OPTICAL PROJECTION SYSTEM, FOCUSING THE PROJECTED IMAGE UPON A PLANE A DISTANCE AWAY FROM A PROJECTING LENS OF THE OPTICAL PORJECTION EQUAL TO AT LEAST TWICE A RADIUS OF A SPHERICAL SHELL SECTION UPON WHICH THE GLOBAL MAP IS TO BE PRODUCED, ADJUSTING THE RELATIVE APERTURE OF SAID PROJECTING LENS TO PROJECT A SUBSTANTIAL DEPTH OF FOCUS, POSITIONING A PORTION OF A DIMENSIONALLY STABLE SPHERICAL SHELL HAVING A PHOTOSENSITIVE COATING THEREON IN THE IMAGE SPACE OF SAID PROJECTION WITH THE CONCAVE SURFACE OF THE SHELL TOWARD THE PROJECTING LENS SUCH THAT A NODAL POINT OF THE PROJECTION LENS WILL COINCIDE WITH A THEORETICAL PROJECTION POINT UTILIZED FOR MAKING THE GEOMETRICAL PROJECTION OF THE MAP AND SUCH THAT A TANGENT TO THE PHOTOSENSITIVE COATING ON SAID SPHERICAL SHELL WILL BE PERDICULAR TO THE OPTICAL AXIS AT A DISTANCE EQUAL TO TWICE THE RADIUS OF THE SPHERICAL SECTION FROM THE NODAL POINT OF THE LENS, THEREBY EXPOSING THE PHOTOSENSITIVE COATING, AND DEVELOPING THE SO EXPOSED COATING.