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Representation and Rendering of General Julia Sets Based on Tri-Dimensional Polynomial Maps
2006
Journal of Software (Chinese)
A new approach for the representation of 3D general Julia sets is put forward on the basis of tri-dimensional polynomial maps. The condition for a 3D polynomial map to be equivariant is theoretically analyzed and proved. The equations of two classes of 3D polynomial maps that are equivariant with respect to the rotational symmetries of either a regular tetrahedron group or a regular octahedron group are strictly given, on the basis of which the properties of the general Julia sets created by
doi:10.1360/jos171561
fatcat:pxn7ck6tszbbbfm4yj2slwwxcm