Patent ID: 7417635

Claim:
A method for determining a blended geometric object, comprising: providing, for each of a plurality of parameterized geometric objects S i , i=1, . . . , N, N≧2, a mapping f s i from a parametric space, PS, to a common geometric space GS containing the S i wherein (A1) and (A2) hold: (A1) at least one of the plurality of parameterized geometric objects, S i 0 , has a dimension greater than or equal to 2; (A2) for each S i there is a portion P i of S i wherein f S i is continuous at points of f S i −1 (P i ); computing, a function S at each of a plurality of points q in PS, for obtaining a corresponding point S(q) in GS, wherein (B1) and (B2) hold: (B1) S(q) is dependent upon f S i 0 - 1 and at least one f S j (q) for j∫i 0 , and wherein S(f S 0 −1 (P i 0 )) ⊂ P i 0 , S(f S j −1 (P j )) ⊂ P j , (B2) S is a continuous at f S i 0 - 1 ⁡ ( P i o ) ⁢ ⁢ and ⁢ ⁢ f S j - 1 ⁡ ( S j ) ; and f S j −1 (S j ); displaying a representation of said corresponding points S(q) as a representation of a geometric object that blends between Sio and Sj.