Method and apparatus for rendering an image impinging upon a non-planar surface
First Claim
1. A method of rendering an image that impinges upon a non-planar surface, said method comprising:
- mapping said image as a plurality of spaced-apart planar cells to surface coordinates of said non-planar surface, with each of said plurality of planar cells including multiple pixels of said image; and
minimizing a distance between said plurality of planar cells while minimizing a change in distance between each of said plurality of planar cells with respect to said surface coordinates; and
impinging said plurality of planar cells upon said non-planar surface,wherein mapping further includes associating pixels of said image with a plurality of polygons, each of which corresponds to one of said plurality of spaced-apart planar cells and includes multiple vertices having an initial spatial relationship and mapping said vertices to coordinates of said non-planar surface, producing mapped polygons and generating a matrix of distortions coefficients from the vertices of said mapped polygons, with said distortion coefficients defining a relative spatial relationship among said pixels upon said non-planar surface;
producing, from said distortion matrix, an inverse matrix having a plurality of inverting coefficients associated therewith.
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Abstract
The present invention is directed to a method and system to render an image that impinges upon a non-planar surface to attenuate, if not abrogate, distortions introduced by the surface that features mapping the image as a plurality of spaced-apart planar cells to coordinates of the non-planar surface to produce a plurality of the inverted planar cells, with each of the cells including multiple pixels of the image, minimizing a distance between the cells while minimizing a change in the distance of each of the plurality of cells with respect to the surface coordinates; and impinging the plurality of planar cells upon the non-planar surface.
51 Citations
8 Claims
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1. A method of rendering an image that impinges upon a non-planar surface, said method comprising:
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mapping said image as a plurality of spaced-apart planar cells to surface coordinates of said non-planar surface, with each of said plurality of planar cells including multiple pixels of said image; and minimizing a distance between said plurality of planar cells while minimizing a change in distance between each of said plurality of planar cells with respect to said surface coordinates; and impinging said plurality of planar cells upon said non-planar surface, wherein mapping further includes associating pixels of said image with a plurality of polygons, each of which corresponds to one of said plurality of spaced-apart planar cells and includes multiple vertices having an initial spatial relationship and mapping said vertices to coordinates of said non-planar surface, producing mapped polygons and generating a matrix of distortions coefficients from the vertices of said mapped polygons, with said distortion coefficients defining a relative spatial relationship among said pixels upon said non-planar surface;
producing, from said distortion matrix, an inverse matrix having a plurality of inverting coefficients associated therewith. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
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Specification