Accuracy Verification Experiment

The sample creation method and accuracy verification method are shown below. The unit is [mm] except for mean curvatures.

〈Sample Creation Method〉

We assume that the deformation shape of molded items is assumed to be (1) Gaussian shape: z_d=-a·exp(-9(x²+y²)/200), (2) Sinc shape: z_d=-a·sin(0.2π(x²+y²)^½)/0.2π(x² + y²)^½, and (3) Sine: z_d=-a·sin(0.1πx).
We assume that the evaluation data points of the molded items are distributed in a grid pattern (range: |x, y|≤10 and intervals (x & y direction): 1).
We assume that the spatial distribution shape of correction amounts z_c (z_c = -z_d).
We prepare ① CAD model with V-groove shape: z_m=-0.5·|x| and ②CAD model with Spherical shape: z_m=(100²-(x²+y²))^½.
We correct the above CAD models by utilizing our technology so as to approach the target shapes z_t (z_m+z_t) along the z direction.

System, spatial distribution shape of correction amount, and a molding surface CAD model — FIG. 1. System and sample of accuracy verification experiment.

A corrected molding surface CAD model created from specified correction amount and an uncorrected molding surface CAD model — FIG. 2. Sample making method of accuracy verification experiment.

〈Accuracy Verification Method〉

We obtain point cloud data of the corrected CAD models {x, y, z_cc} and point cloud data of the un-corrected CAD models {x, y, z_m} at 0.05 intervals (x&y directions) in the range of |x, y| ≤ 10.
We obtain {x, y, Δ_z (= |(z_cc-z_m)-z_t|)} and the maximum value Δ_z^max of the {|Δ_z|}.
We obtain {x, y, Δ_H (= mean curvature)} and the maximum value Δ_H^max of the {|Δ_H|}.

〈Result〉

Since Δ_z^max and Δ_h^max are extremely small (TableⅠ & TableⅡ), it can be seen that this service can perform highly accurate mold correction. In addition, since almost no local unintentional curvatures to the corrected shape occurs (Fig. 4), it can be seen that the corrected shape after using this service is easy to use in the post-process.

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TABLEⅠ. Maximum absolute value of .`Δ_z^max`.
`Δ_z^max` [mm]	Correction Amount: Gauss shape		Correction Amount: Sinc shape		Correction Amount: Cosine shape
	`a`=0.25	`a`=0.50	`a`=0.25	`a`=0.50	`a`=0.25	`a`=0.50
Molding Surface: V-groove shape	3.7 e-4	6.6 e-4	5.3 e-4	9.6 e-4	2.8 e-4	4.8 e-4
Molding Surface: Spherical shape	3.6 e-4	7.2 e-4	5.5 e-4	1.0 e-3	4.5 e-4	3.8 e-4

TABLEⅡ. Maximum absolute value of `Δ_H^max`.
`Δ_H^max`	Correction Amount: Gauss shape		Correction Amount: Sinc shape		Correction Amount: Cosine shape
	`a`=0.25	`a`=0.50	`a`=0.25	`a`=0.50	`a`=0.25	`a`=0.50
Molding Surface: V-groove shape	1.4 e-2	2.3 e-3	1.7 e-2	2.0 e-3	1.1 e-2	1.3 e-2
Molding Surface: Spherical shape	1.6 e-3	3.3 e-3	1.1 e-3	4.2 e-3	6.4 e-4	6.4 e-4

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