Predicting the shape of a three-dimensional object which is subjected to a diffusion process
AssigneeCommissariat A L'energie Atomique Et Aux Energies Alternatives
InventorJérôme HAZART
Life of this patent
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Abstract
The present invention relates to a method for predicting the shape of a three-dimensional object which has been subjected to a diffusion process for a predetermined duration. The prediction method uses a law of vertical morphing and a law of lateral morphing. The law of lateral morphing applies to a description of the contours of different slices of a sample at standardised heights. The description of the contour of a slice is obtained by a curvilinear Fourier transform of the contour or by a two-dimensional spatial Fourier transform of a contour line approximating said contour. The present invention also relates to the manufacture of a three-dimensional object of a given material and a given nominal shape.
Claims11
A method for predicting the shape of a three-dimensional object subjected to a diffusion process for a predetermined period of time, the method comprising:
- a calibration phase in which a plurality of samples with different initial shapes undergo, for said determined period of time, the diffusion process, at the end of which the samples assume final shapes, and comprising, for each sample:
- a) measuring the initial height of the sample and acquiring first contours of a plurality of horizontal slices of the sample in its initial shape, at heights normalised by the initial height;
- b) measuring the final height of the sample and acquiring second contours of a same plurality of horizontal slices of the sample in its final form, at heights normalised by the final height, equal to said heights normalised by the final height;
- c) estimating the parameters of a vertical morphing law for switching from the initial height to the final height and estimating the parameters of a lateral morphing law for switching from a representation, in a Fourier space, of the first contours to a representation, in the Fourier space, of the second contours;
- a prediction phase comprising:
- d) estimating the final height of said object from its initial height and the parameters of the vertical morphing law;
- e) obtaining a representation in said Fourier space of a plurality of contours of the slices of the object in its initial form, at said normalised heights;
- f) obtaining a representation in said Fourier space of a plurality of contours of the slices of the object in its final shape, at the normalised heights, from said representation of the slices of the object in its initial shape and the parameters of the lateral morphing law;
- g) determining the contours of the plurality of slices of said object in its final form, at the normalised heights, from the representation of the contours of these slices in said Fourier space obtained in step (f);
- h) obtaining the final shape of the three-dimensional object from the final height of said object and the contours of the slices of said object in its final shape, previously determined at the normalised heights.
Dependencies are inferred from the claim text.