Abstract: A method, system and storage device are generally directed to determining for each of a plurality of data points, a neighborhood of data points about each such data point. For each such neighborhood of data points, a projection set of polynomials is generated based on candidate polynomials. The projection set of polynomials evaluated on the neighborhood of data points is subtracted from the plurality of candidate polynomials evaluated on the neighborhood of data points to generate a subtraction matrix of evaluated resulting polynomials. The singular value decomposition of the subtraction matrix is then computed. The resulting polynomials are clustered into multiple clusters and then partitioned based on a threshold.

Abstract: A dynamic piece of jewelry, which comprises: a bezel comprising: a partially spherical base having a curved bottom and an essentially flat top; and plurality of prongs that extend in a tilted manner from said essentially flat top of the base, each of said prongs having a bottom end which is attached to said essentially flat top of said base, and a top end, and wherein said prongs are tilted such that they form a structure having an expanding cross section from the structure bottom to the structure top; a tooth at the top of each prong, for, jointly supporting a gemstone; a seat which supports said partially spherical base, said seat having a radius of curvature larger than the radius of curvature of said partially spherical base; a gemstone supported by said plurality of teeth at the top of said prongs; and a holder having a central hole, said holder being attached to said seat in such a manner that a top portion of the prongs including the gemstone protrude above said holder hole, and a bottom portion of sai

Abstract: A dynamic piece of jewelry, which comprises: a bezel comprising: a partially spherical base having a curved bottom and an essentially flat top; and plurality of prongs that extend in a tilted manner from said essentially flat top of the base, each of said prongs having a bottom end which is attached to said essentially flat top of said base, and a top end, and wherein said prongs are tilted such that they form a structure having an expanding cross section from the structure bottom to the structure top; a tooth at the top of each prong, for, jointly supporting a gemstone; a seat which supports said partially spherical base, said seat having a radius of curvature larger than the radius of curvature of said partially spherical base; a gemstone supported by said plurality of teeth at the top of said prongs; and a holder having a central hole, said holder being attached to said seat in such a manner that a top portion of the prongs including the gemstone protrude above said holder hole, and a bottom portion of sai