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2 results about "Spherical image" patented technology

In differential geometry, the spherical image of a unit-speed curve is given by taking the curve's tangent vectors as points, all of which must lie on the unit sphere. The movement of the spherical image describes the changes in the original curve's direction If α is a unit-speed curve, that is |α′|=1, and T is the unit tangent vector field along α, then the curve σ=T is the spherical image of α. All points of σ must lie on the unit sphere because |σ|=|T|=1.

Apparatus and methods for the optimal stitch zone calculation of a generated projection of a spherical image

ActiveUS20180101931A1Geometric image transformationMean square senseSingle line
Apparatus and methods for the stitch zone calculation of a generated projection of a spherical image. In one embodiment, a computing device is disclosed which includes logic configured to: obtain a plurality of images; map the plurality of images onto a spherical image; re-orient the spherical image in accordance with a desired stitch line and a desired projection for the desired stitch line; and map the spherical image to the desired projection having the desired stitch line. In a variant, the desired stitch line is mapped onto an optimal stitch zone, the optimal stitch zone characterized as a set of points that defines a single line on the desired projection in which the set of points along the desired projection lie closest to the spherical image in a mean square sense.
Owner:GOPRO
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