Method for determining intermediate points in interpolation

An intermediate point and interpolation technology, applied in the direction of instruments, computer control, simulators, etc., can solve the problems affecting the accuracy of interpolation fitting and the amount of calculation

Inactive Publication Date: 2010-06-23
陈学恭
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0008] 2. Current situation
For curves described by sine functions, such as sine curves, elliptic curves, and circular curves with alternative curves, there is no unified method for d...

Method used

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  • Method for determining intermediate points in interpolation
  • Method for determining intermediate points in interpolation
  • Method for determining intermediate points in interpolation

Examples

Experimental program
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Embodiment Construction

[0326] 1. See figure 1 , which is the coordinate function Ψ A (t) The program flow chart of interpolation. The coordinate function described is

[0327] Ψ A (t)=H A sin(ωt+α Δ ), (J1-1)

[0328] Its alternative coordinate function Ψ δA (t) for

[0329] Ψ δA (t)=H δA sin(ωt+α Λ ), (J1-2)

[0330] h δA =H A +δ A , (J1-3)

[0331] The procedure consists of steps (1) to (9):

[0332] (1) Determine the alternative coordinate function Ψ δA (t) amplitude difference δ A value of

[0333] (2) Determine the alternative coordinate function Ψ δA (t) The equivalent increment ΔT of the parameter t corresponding to the starting point and the middle point of the definition domain A , whose value is the increment Δτ of the parameter t A ω times, is a constant,

[0334] ΔT A =ωΔτ A = constant, (J1-4)

[0335] (3) Determine the alternative coordinate function Ψ δA (t) The number n-1 of the middle points of the definition domain, with i (i=1, 2, 3, ..., n, n+1) repres...

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Abstract

The invention discloses a method for determining intermediate points in interpolation, which determines the segmentation or the intermediate points of a curve according to a requirement on fitting errors by aiming at paths or contour lines, such as a sine curve, an elliptic curve and a circular arc curve, required by sine functions so as to reduce the segment number of the segmentation or the number of the intermediate points under the premise of ensuring the fitting accuracy. Thus, the method not only can meet the requirement on the fitting accuracy of the interpolation, but also can reduce the operand of the interpolation so as to improve the overall speed of the interpolation.

Description

【Technical field】 [0001] The invention relates to an interpolation method for controlling the movement track of an object, which belongs to the field of computer numerical control. 【Background technique】 [0002] 1. The task of interpolation [0003] Numerical control system is widely used in the control of mechanical movement trajectory, and can control the movement trajectory of machine tools, robots, sewing machines, welding machines, etc. The "interpolation" of the desired path or contour is the key to CNC technology. [0004] The task of interpolation is to insert several intermediate points between two known points of the required trajectory or the required path or contour line Q, and determine the position coordinates of the intermediate points. [0005] The interpolation results will be sent to the linear interpolator in turn; corresponding to a set of position coordinates of two adjacent points, the linear interpolator generates a set of evenly distributed pulse s...

Claims

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Application Information

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IPC IPC(8): G05B19/41
Inventor 陈学恭
Owner 陈学恭
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