Abstract: An apparatus (100) for performing spherical geometry is disclosed. The apparatus (100) includes a frame (102) having a base (104) and a sphere set (106) placed on the base (104). The sphere set (106) includes an outer sphere (108) having a transparent surface and an inner sphere (110) having a surface representing a graph template, which includes azimuth and polar angle scales. The inner sphere (110) is held in a default static orientation with reference to the base (104) and is concentric with reference to the outer sphere (108) by a levitating arrangement. The outer sphere (108) is supported on the base (104) and is rotatable in any direction independent of the inner sphere (108) for determining spherical geometry measurements based on the graph template.

Abstract: Method and system for generating a coded image format representing surface data of a 3-dimensional object is disclosed. The method includes superposing an imaginary spherical surface over the object based on a reference point within the object. The surface points of the front portion and back portion of the object are mapped to a first circular region and a second circular region. The distance information of the surface points of the front portion and the back portion from the reference point are encoded as greyscale values to obtain shape information. The color information of the surface points of the front portion and back portion of object are encoded as color values to obtain color information of the front portion and the back portion of the object. The encoded values are stored in pixels of raster graphics image. A coded image format is generated based on the raster graphics image.

Abstract: Method and system for generating a coded image format representing surface data of a 3-dimensional object is disclosed. The method includes superposing an imaginary spherical surface over the object based on a reference point within the object. The surface points of the front portion and back portion of the object are mapped to a first circular region and a second circular region. The distance information of the surface points of the front portion and the back portion from the reference point are encoded as greyscale values to obtain shape information. The color information of the surface points of the front portion and back portion of object are encoded as color values to obtain color information of the front portion and the back portion of the object. The encoded values are stored in pixels of raster graphics image. A coded image format is generated based on the raster graphics image.