Appeal No. 1996-2027
Application 07/965,079
generating a second patch on the basis of said internal control points such that the total sum of
said shortest distances is minimized;
generating a free-form surface on the basis of said second patch;
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 8, which is representative of Group III, is reproduced below:
8. A method for 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 patch to be transformed represented by a predetermined vector function on
said framing space on the basis of said boundary curves and said internal control points;
setting a plurality of input points on said patch to be transformed;
finding the shortest distances from said plurality of input points to a second patch, said second
patch being a target of transformation;
setting internal control points in the framing space of said first patch to be transformed such that
the total sum of said shortest distances is minimized;
transforming said first patch such that said first patch has a surface geometry of said
transformation target in the framing space of said patch to be transformed;
generating a free-form surface on the basis of said transformed first patch;
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