Abstract: The present embodiments relate to methods and systems for analyzing and representing diamond appearance, and to an interactive, web-based encyclopedia of diamond cuts. The analytical methods involve the use of several unique techniques designed to capture and represent the nuances of different diamond cuts precisely. The graphical representations translate this complex gemological data into a format that is accessible and understandable to non-expert users. The diamond cut encyclopedia, generated by a unique enumeration algorithm, provides a comprehensive and detailed resource for both experts and enthusiasts alike. The present embodiments present a significant advancement in the field of gemology, offering increased precision in diamond analysis, user-friendly interfaces, and an efficient method for creating a comprehensive, interactive diamond cut encyclopedia.

Abstract: The present embodiments relate to systems and methods for generating all possible gemstone faceting arrangements. An apparatus can include a computer, a computerized file storage system for saving results, and a mechanism that generates faceting arrangements satisfying user-defined constraints. The apparatus can feature a program that enables loading gemstone faceting designs and can offer adjustable settings to control the specific geometric parameters. The program can also provide users with 3D models satisfying geometric constraints. Additionally, the apparatus may incorporate a ray-tracing engine to assess the light performance qualities of the virtual gemstone model. The present embodiments can also include methods for optimizing diamond cut using a genetic algorithm.

Abstract: Systems and methods for generating an image of a gemstone under evaluation which is coded according to angular ranges in its angular spectrum across a broad range of tilts, this allows for scintillation of a gemstone to be demonstrated based on a singular coded image of the gemstone. Scintillation information is thus presented in a single image, or as a plurality of images showing fire scintillation, flash scintillation, and other scintillation related criteria as a series of static images.

Abstract: Systems and methods for generating an image of a gemstone under evaluation which is coded according to angular ranges in its angular spectrum across a broad range of tilts, this allows for scintillation of a gemstone to be demonstrated based on a singular coded image of the gemstone. Scintillation information is thus presented in a single image, or as a plurality of images showing fire scintillation, flash scintillation, and other scintillation related criteria as a series of static images.

Abstract: Systems and methods, for the evaluation, grading, and presentation of evaluation results, of the scintillation of gemstones, such as diamonds. Specifically, there are discussed systems and methods for determining when a scintillation event in a gemstone is likely to occur and for mapping such events to a presentation.

Abstract: Systems and methods for evaluating an optical property of a gemstone operate to trace selected and ordered model light rays through a model of the gemstone. The rays may be selected such that, when ordered into a sequence, the points of contact of successive rays with the gemstone surface generate a pattern defined by a path created by the linking of successive contact points with line segments. Further, the rays may be propagated through the gemstone in a manner that utilizes an ordered set of facet identifiers corresponding to facets impinged upon by a ray previously propagated through the gemstone. Moreover, these strategies can be combined by propagating an ordered sequence of rays corresponding to an ordered set of contact points generating a pattern defined by a path, and using for such propagation an ordered set of facet identifiers corresponding to facets impinged upon by a ray previously propagated through the gemstone.

Abstract: Systems and methods, for the evaluation, grading, and presentation of evaluation results, of the scintillation of gemstones, such as diamonds. Specifically, there are discussed systems and methods for determining when a scintillation event in a gemstone is likely to occur and for mapping such events to a presentation.

Abstract: Systems and methods for evaluating an optical property of a gemstone operate to trace selected and ordered model light rays through a model of the gemstone. The rays may be selected such that, when ordered into a sequence, the points of contact of successive rays with the gemstone surface generate a pattern defined by a path created by the linking of successive contact points with line segments. Further, the rays may be propagated through the gemstone in a manner that utilizes an ordered set of facet identifiers corresponding to facets impinged upon by a ray previously propagated through the gemstone. Moreover, these strategies can be combined by propagating an ordered sequence of rays corresponding to an ordered set of contact points generating a pattern defined by a path, and using for such propagation an ordered set of facet identifiers corresponding to facets impinged upon by a ray previously propagated through the gemstone.

Abstract: Systems and methods for evaluating and displaying a diamond's dispersion or fire potential. These systems and methods can be used to determine the dispersion of a diamond relative to an observation point, which can then be used to provide for a map or other indicator of a diamond's fire potential when it is observed from that point.

Abstract: Systems and methods for evaluating and displaying a diamond's dispersion or fire potential. These systems and methods can be used to determine the dispersion of a diamond relative to an observation point, which can then be used to provide for a map or other indicator of a diamond's fire potential when it is observed from that point.