If we have a surface element L:L set as global argument group and set target surface as an ellipsoid D. D=(3/4)pi*r1*r2, the r1 belongs to S|S group: A1....A nth where A is surface pixel by pi:projections. With multi-basis warp factor K|:k 100th to 10000th. A system partially isometric M:M|potential (3/4)|M:M|potential pi*r1K|k = pi projection belonging to S|S group with set l1.....l nth geometry markers l1|M:M|potential approach infinity. In this case the S|S group is closed with the same elements assigned to warping and projection. The S|S group is open then df D is deformation of surface by grade or by global elements deformation, unless local groups D is closed and D remains (3/4)pi*r1*r2|M potential l1.....l nth markers or (l1.....l)i. Another way for closed local groups for partial deformation occurs by superposition of deformed and non deformed local groups within a globally open S|S group.