Designing a three-dimensional free-form surface

G - Physics – 06 – T

Patent

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G06T 17/20 (2006.01) G06F 15/60 (1990.01)

Patent

CA 2092217

In a method and an apparatus for designing a three-dimensional free-form surface by directly manipulating points on the free-form surface, under the condition that each of main weight functions for obtaining an equation for the free-form surface, having each of sample points as point of the surface, is equal to a function obtained by smoothing unknown virtual data by auxiliary weight functions already known, said main weight functions are obtained for each of said sample points, whereby a function value to one of plural sets of a first component and a second component of three-dimensional coordinate data of said sample points is a values other than 0, and function values to the remaining of said plural sets are 0, interpolation values of said free-form surface are obtained from said equation for the free-form surface acquired by smoothing a plurality of a third component of said three-dimensional coordinate data of said sample points by said main weight function, data for depicting three-dimensional graph are calculated from said free-form surface obtained by said interpolation values and are displayed on a display unit, and said free-form surface is designed by adjusting the third component of said three- dimensional coordinate data of said sample points while watching said three-dimensional graph displayed on said display unit.

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