Tiled projections for planar processing of round earth data
First Claim
1. A computer implemented system configured to facilitate tiled projections for planar processing of spherical data, the computer implemented system comprising:
- a processor;
a mapping component configured to project the spherical data, mapped onto facets of a polyhedron, to a single plane while preserving at least one of polygons or polygonal paths via insertion of at least one fake crease vertex;
a processing component configured to employ a planar algorithm to compute query results from data mapped to the single plane, wherein the processing component is further configured to display a planar processing result of the planar algorithm on a sphere corresponding to the spherical data; and
a computer-readable storage medium storing instructions that, when executed by the processor, cause the processor to implement at least one of the mapping component or the processing component.
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Accused Products
Abstract
A system and method that facilitates planar processing of round earth data by employing a tiled projection is provided. The tiled projection is a two-step projection from the surface of the earth to a common plane that preserves polygons and polygonal paths. During the first step, the system performs a gnomonic projection to the facets of a circumscribed platonic solid, which maps spherical polygons to spatial polygons on the facets of the solid. During the second step, the system performs a polygon-preserving projection from the facets of the platonic solid to tiles in common plane. Thus, projections from multiple facets of the platonic solid on the common plane are processed by employing a planar algorithm.
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Citations
20 Claims
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1. A computer implemented system configured to facilitate tiled projections for planar processing of spherical data, the computer implemented system comprising:
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a processor; a mapping component configured to project the spherical data, mapped onto facets of a polyhedron, to a single plane while preserving at least one of polygons or polygonal paths via insertion of at least one fake crease vertex; a processing component configured to employ a planar algorithm to compute query results from data mapped to the single plane, wherein the processing component is further configured to display a planar processing result of the planar algorithm on a sphere corresponding to the spherical data; and a computer-readable storage medium storing instructions that, when executed by the processor, cause the processor to implement at least one of the mapping component or the processing component. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9)
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10. A computer implemented method that facilitates mapping of data from a surface of a sphere to a common plane, the computer implemented method comprising:
executing by a processor, instructions that, when executed, cause operations to be performed comprising; generating a projection by projecting data mapped to facets of a polyhedron onto the common plane; preserving a polygon of the polyhedron on the projection via insertion of a fake crease vertex; performing at least one query operation on the projection by employing a planar algorithm, the at least one query operation comprising computing query results from data projected onto the common plane; and projecting a planar processing result of the planar algorithm onto the surface of the sphere. - View Dependent Claims (11, 12, 13, 14, 15)
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16. A computer-readable storage medium having computer executable instructions that, when executed by a processor, cause operations to be performed, comprising:
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generating a projection by projecting spherical data mapped to facets of a polyhedron onto a common plane; preserving a polygon of the polyhedron on the projection via insertion of a fake crease vertex; processing data projected onto the common plane by employing a planar algorithm to perform at least one query operation, the at least one query operation comprising computing query results from the projection; and projecting a planar processing result of the planar algorithm onto a sphere corresponding to the spherical data. - View Dependent Claims (17, 18, 19, 20)
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Specification