1. A computer-implemented method for facilitating-interpolations associated with computer-generated objects, the method comprising: receiving, at one or more computer systems, information specifying a first computer-generated object, the first computer-generated object comprising a plurality of points and a boundary formed by a subset of points in the plurality of points; determining, with one or more processors associated with the one or more computer systems, a plurality of coordinate components for at least one point located within the boundary of the first computer-generated object based on at least the boundary formed by the subset of points to generate interior coordinates for the at least one point, each coordinate component in the plurality of coordinate components determined for the interior coordinates of the at least one point representing relative influence at the at least one point of a corresponding point in the subset of points forming the boundary wherein relative influence of the corresponding point at all points located within the boundary is reduced conditioned upon a non-linear path as measured within the interior of the boundary; interpolating, with the one or more processors associated with the one or more computer systems, at least one value for the at least one point located within the boundary based on each coordinate component in the plurality of coordinate components of the interior coordinates of the at least one point; and storing the at least one value interpolated for the at least one point in a storage device associated with the one or more computer systems.