Image projection screen with decreased color shift as a function of viewing angle, and method of manufacture

Claim 2

An image projection screen defining a normal axis, and intended for use with a plurality of image projectors including an axial image projector, the optical axis of which is substantially coplanar with said normal axis, and at least one off-axis image projector the optical axis of which is displaced from the common plane of said coplanar axes in a transverse direction; said screen having a plurality of lenticules for distributing light from said image projectors over a viewing angle range extending across said transverse direction; each of said lenticules having respective light-directing cross-sectional profiles which distribute light from said image projectors across said transverse direction in a manner which varies as a function of said viewing angle; said light distribution differing as between said axial and said off-axis image projectors; wherein a selected plurality of said lenticules are formed so that said profiles thereof are substantially proportional to a third curve which may be derived by: (a) selecting an asymmetric first curve having an off-center peak defined by the maximum value of the coordinate of said curve in said normal direction, (b) deriving an asymmetric second curve by selecting only a major portion of said first curve, (c) and deriving said third curve by symmetrically joining together said second curve and its mirror image; whereby said selected lenticules have respective distributions of light from said off-axis projector with respective maximum values which coincide with respective lines that are substantially normal to said screen at the respective locations of said selected lenticules.

Claim 3

A screen as in claim 1 wherein the graph describing said distributions by any of said selected lenticules of light from said off-axis projector has a plurality of bulges therein, one of which exceeds any other and corresponds to said normally oriented maximum value.

Claim 4

A screen as in claim 1 wherein said profiles of said selected lenticules are also such that said distributions by said selected lenticules of light from said axial image projector is substantially symmetrical with respect to respective lines normal to said screen at the respective locations of said selected lenticules.

Claim 5

A screen as in claim 1 wherein each of said lenticules is selected to have substantially said same profile.

Claim 6

A screen as in claim 1 wherein said asymmetric first curve has a pair of opposed margins located a selected distance apart, said off-center peak being located located non-medially therebetween; and wherein said profiles of said selected lenticules are substantially congruent to a fourth curve derived by: (d) scaling said third curve so that the distance between its opposed margins is substantially equal to the corresponding dimension of said first curve.

Claim 7

A screen as in claim 5 wherein: said major portion of said first curve extends from a dividing line, which passes substantially in said normal direction through said off-center peak, to that margin of said first curve which is more remote from said dividing line.

Claim 8

An image projection screen defining a normal axis, and intended for use with a plurality of image projectors including an axial image projector, the optical axis of which is in a common substantially vertical plane with said normal axis, and at least one off-axis image projector the optical axis of which is horizontally displaced from said common vertical plane; said screen having a plurality of lenticules for distributing light from said image projectors over a horizontal range of viewing angles; said lenticules having respective light-directing cross-sectional profiles, with respect to a substantially horizontal section plane, which distribute light from said image projectors in a manner which varies as a function of horizontal viewing angle; said light distribution differing as between said axial and said off-axis image projectors; wherein a selected plurality of said lenticules are formed so that said profiles thereof are substantially congruent to a fourth curve which may be derived by: (a) selecting an asymmetric first curve having a pair of opposed margins located a selected distance apart, and an off-center peak located non-medially therebetween and defined by the maximum value of the coordinate of said curve in said normal direction, said curve being adapted to produce a symmetric light distribution, as a function of transverse viewing angle, for light from said axial image projector, based on the assumptions that (i) the lenticule for which said profile is to be employed is located in said normal direction relative to said off-axis image projector, (ii) and the viewer is effectively located in said normal direction relative to said lenticule; (b) deriving an asymmetric second curve by selecting only a major portion of said first curve, which major portion extends from a dividing line passing substantially in said normal direction through said off-center peak, to that margin of said first curve which is more remote from said dividing line; (c) deriving a symmetric third curve by joining together said second curve and its mirror image at said dividing line; (d) and deriving said fourth curve by scaling said third curve so that the distance between its opposed margins is substantially equal to the corresponding dimension of said first curve.

Claim 9

An image projection screen defining a normal axis, and intended for use with a plurality of image projectors including an axial image projector, the optical axis of which is in a common substantially vertical plane with said normal axis, and at least one off-axis image projector the optical axis of which is horizontally displaced from said common vertical plane; said screen having a plurality of lenticules for distributing light from said image projectors over a horizontal range of viewing angles; said lenticules having respective light-directing cross-sectional profiles, with respect to a substantially horizontal section plane, which distribute light from said image projectors in a manner which varies as a function of horizontal viewing angle; said light distribution differing as between said axial and said off-axis image projectors; wherein a selected plurality of said lenticules are formed so that said profiles thereof are substantially congruent to a fourth curve which may be derived by: (a) selecting an asymmetric first curve having a pair of opposed margins located a selected distance apart, and an off-center peak located non-medially therebetween and defined by the maximum value of the coordinate of said curve in said normal direction, said curve being adapted to produce a symmetric light distribution, as a function of transverse viewing angle, for light from said axial image projector, based on the assumptions that (i) the lenticule for which said profile is to be employed is located in said normal direction relative to said off-axis image projector, (ii) and the viewer is effectively located in said normal direction relative to said lenticule; (b) deriving an asymmetric second curve by selecting only a major portion of said first curve, which major portion extends from a dividing line passing substantially in said normal direction through said off-center peak, to that margin of said first curve which is more remote from said dividing line; (c) deriving a symmetric third curve by joining together said second curve and its mirror image at said dividing line; (d) and deriving said fourth curve by scaling said third curve so that the distance between its opposed margins is substantially equal to the corresponding dimension of said first curve.

Claim 10

An image projection screen defining a normal axis, and intended for use with a plurality of image projectors including an axial image projector, the optical axis of which is substantially coplanar with said normal axis, and at least one off-axis image projector the optical axis of which is displaced from the common plane of said coplanar axes in a transverse direction; said screen having a plurality of lenticules for distributing light from said image projectors over a viewing angle range extending across said transverse direction; said lenticules having respective light-directing cross-sectional profiles, with respect to a transverse section plane, which distribute light from said image projectors in a manner which varies as a function of said transverse viewing angle; said light distribution differing as between said axial and said off-axis image projectors; wherein a selected plurality of said lenticules are formed as that said profiles thereof are substantially proportional to a third curve which may be derived by: (a) selecting an asymmetric first lenticule cross-sectional curve for a screen location which has the same transverse coordinate as said off-axis projector, said curve being adapted to distribute substantially equal amounts of image light from said respective projectors to a viewer effectively located at said same transverse coordinate as said off-axis projector; (b) deriving an asymmetric second curve by selecting only a major portion of said first curve; (c) and deriving said third curve by symmetrically joining together said second curve and its mirror image.

Claim 11

An image projection screen defining a normal axis, and intended for use with a plurality of image projectors including an axial image projector, the optical axis of which is substantially coplanar with said normal axis, and at least one off-axis image projector the optical axis of which is displaced from the common plane of said coplanar axes in a transverse direction; said screen having a plurality of lenticules for distributing light from said image projectors over a viewing angle range extending across said transverse direction; said lenticules having respective light-directing cross-sectional profiles, with respect to a transverse section plane, which distribute light from said image projectors in a manner which varies as a function of said transverse viewing angle; said light distribution differing as between said axial and said off-axis image projectors; wherein a selected plurality of said lenticules are formed as that said profiles thereof are substantially proportional to a third curve which may be derived by: (a) selecting an asymmetric first lenticule cross-sectional curve for a screen location which has the same transverse coordinate as said off-axis projector, said curve being adapted to distribute substantially equal amounts of image light from said respective projectors to a viewer effectively located at said same transverse coordinate as said off-axis projector; (b) deriving an asymmetric second curve by selecting only a major portion of said first curve; (c) and deriving said third curve by symmetrically joining together said second curve and its mirror image.

Claim 12

An image projection screen defining a normal axis, and intended for use with a plurality of image projectors including an axial image projector, the optical axis of which is substantially coplanar with said normal axis, and at least one off-axis image projector the optical axis of which is displaced from the common plane of said coplanar axes in a transverse direction; said screen having a plurality of lenticules for distributing light from said image projectors over a viewing angle range extending across said transverse direction; said lenticules having respective light-directing cross-sectional profiles, with respect to a transverse section plane, which distribute light from said image projectors in a manner which varies as a function of said transverse viewing angle; said light distribution differing as between said axial and said off-axis image projectors; wherein a selected plurality of said lenticules are formed so that said profiles thereof are substantially proportional to a third curve which may be derived by: (a) selecting an asymmetric first lenticule cross-sectional curve for a screen location which has the same transverse coordinate as said off-axis projector, said curve being adapted to distribute substantially equal amounts of image light from said respective projectors to a viewer located on said normal axis at an infinite distance from said screen; (b) deriving an asymmetric second curve by selecting only a major portion of said first curve; (c) and deriving said third curve by symmetrically joining together said second curve and its mirror image.

Claim 13

An image projection screen defining a normal axis, and intended for use with a plurality of image projectors including an axial image projector, the optical axis of which is substantially coplanar with said normal axis, and at least one off-axis image projector the optical axis of which is displaced from the common plane of said coplanar axes in a transverse direction; said screen having a plurality of lenticules for distributing light from said image projectors over a viewing angle range extending across said transverse direction; said lenticules having respective light-directing cross-sectional profiles, with respect to a transverse section plane, which distribute light from said image projectors in a manner which varies as a function of said transverse viewing angle; said light distribution differing as between said axial and said off-axis image projectors; wherein a selected plurality of said lenticules are formed so that said profiles thereof are substantially proportional to a third curve which may be derived by: (a) selecting an asymmetric first lenticule cross-sectional curve for a screen location which has the same transverse coordinate as said off-axis projector, said curve being adapted to distribute substantially equal amounts of image light from said respective projectors to a viewer located on said normal axis at an infinite distance from said screen; (b) deriving an asymmetric second curve by selecting only a major portion of said first curve; (c) and deriving said third curve by symmetrically joining together said second curve and its mirror image.