Appeal No. 1996-2027
Application 07/965,079
of said input series of points;
finding said parameter of a plurality of intersections with said free-form curve by drawing
perpendiculars from each point of said input series of points to said free-form curve determined by said
nodal points and said control points;
resetting said control points such that the total sum of distances from the respective points of
said input series of points to said free-form curve determined by the parameter is minimized;
forming said free-form curve assimilated to said input series of points by means of said set nodal
points and the reset control points;
generating a free-form surface on the basis of said assimilated free-form curve;
transmitting data representing said free-form surface to a tool path forming unit;
generating at said tool path forming unit processing data on the basis of said data representing
said free-form surface; and
molding an object on the basis of said processing data, said object being a physical
embodiment of said free-form surface.
Independent claim 6, which is representative of Group II, is reproduced below:
6. A method of forming an object on the basis of data representing a free-form surface,
the method comprising the steps of:
setting internal control points in a framing space surrounded by boundary curves on a three-
dimensional space;
superimposing a reference patch represented by a predetermined vector function on said
framing space on the basis of said boundary curves and said internal control points;
finding, on the basis of coordinate data of a plurality of input points, the shortest distance from
each of said plurality of input points to said reference patch;
3
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