Claims Analysis
Total Claims: 12
Claim 1
Independent Claim
220 words
A method for pre-distorting a projection space PS video raster scene, formed of polygons having edges, to project upon a projection surface in a manner to be viewed as an undistorted VS video raster scene, having edge-defined polygons, by a viewer in viewer space VS, comprising the steps of: (a) assigning a regular undistorted array grid with a multiplicity of row and column lines to divide the VS raster into an array of cells; (b) arranging a diagonal line between one pair of opposite corners of each cell in the VS raster grid array; (c) determining in the VS raster an ordered set of all points (VS crossing points) at which each polygon edge crosses any of the grid and diagonal lines; (d) projecting each VS crossing point back into PS projection space to determine an associated PS space projected crossing point to which that VS crossing point will be transformed; (e) creating a line connecting each pair of projected PS crossing points which correspond to a pair of VS crossing points connected by an interconnecting polygon edge in the view raster, with a plurality of PS connecting lines thus created enclosing an associated PS raster area; and (f) matching textural area factors in each PS raster area thus formed to similar textural area factors in the corresponding VS area.
Claim 2
Independent Claim
220 words
A method for pre-distorting a projection space PS video raster scene, formed of polygons having edges, to project upon a projection surface in a manner to be viewed as an undistorted VS video raster scene, having edge-defined polygons, by a viewer in viewer space VS, comprising the steps of: (a) assigning a regular undistorted array grid with a multiplicity of row and column lines to divide the VS raster into an array of cells; (b) arranging a diagonal line between one pair of opposite corners of each cell in the VS raster grid array; (c) determining in the VS raster an ordered set of all points (VS crossing points) at which each polygon edge crosses any of the grid and diagonal lines; (d) projecting each VS crossing point back into PS projection space to determine an associated PS space projected crossing point to which that VS crossing point will be transformed; (e) creating a line connecting each pair of projected PS crossing points which correspond to a pair of VS crossing points connected by an interconnecting polygon edge in the view raster, with a plurality of PS connecting lines thus created enclosing an associated PS raster area; and (f) matching textural area factors in each PS raster area thus formed to similar textural area factors in the corresponding VS area.
Claim 3
Dependent Claim
21 words
The method of claim 1, wherein step (a) further includes the step of forming the VS raster grid with rectangular cells.
Claim 4
Dependent Claim
10 words
The method of claim 2, wherein each cell is square.
Claim 5
Dependent Claim
26 words
The method of claim 1, wherein step (b) further includes the step of providing all of the VS raster grid diagonal lines in the same direction.
Claim 6
Dependent Claim
15 words
The method of claim 4, wherein all of the diagonal lines have a positive slope.
Claim 7
Dependent Claim
38 words
The method of claim 1, wherein step (d) includes the steps of: storing a set of the equivalent VS and PS points for a predetermined VS-PS relationship; and retrieving the stored set whenever that VS-PS relationship is used.
Claim 8
Dependent Claim
24 words
The method of claim 6, wherein step (d) further includes the step of storing pre-computed transformation point sets for a multiplicity of VS-PS relationships.
Claim 9
Dependent Claim
20 words
The method of claim 7, wherein the pre-computed, stored sets cover expected a selected range of VS-PS projection angle relationships.
Claim 10
Dependent Claim
30 words
The method of claim 1, wherein step (f) includes the step of matching the VS areal texture to a calculated PS texture at each of the set of crossing points.
Claim 11
Dependent Claim
84 words
The method of claim 9, wherein the view space areal texture is a function having both a numerator N v and a denominator D v and the projection space areal texture is a function having both a numerator N p and a denominator D p , and step (f) includes the steps of: matching the PS numerator Np to the VS numerator Nv for each textured area; and simultaneously matching the PS denominator Dp to the VS denominator Dv for that same textured area.
Claim 12
Dependent Claim
23 words
The method of claim 10, wherein the textured area matches are sufficiently close so as to prevent abrupt modulation changes at area boundaries.