Interpolation method

A technology of interpolation and coordinates, applied in the direction of instruments, computer control, simulators, etc., can solve the problems of affecting the work of the device, increasing the cost of the device, and occupying a large amount of resources

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

Such a calculation is difficult to complete by a single-chip computer, but it is not difficult to complete it by a PC-level computer using a high-level language.
In the motion control device, if a PC-level computer is configured as the control core of the entire device, the real-time calculation directly undertaken by it will take up a lot of resources, thereby affecting the work of the entire device; if a PC-level computer is specially configured for interpolation work, it will lead to higher device cost
[0009] At present, motion control technology has been widely used in various fields, and will even enter ordinary households, such as household robots; products based on existing interpolation methods are difficult to adapt and meet market needs
[0010]However, the imputation method that can be implemented quickly and accurately on a single-chip computer has not been published in public information or used in products so far

Method used

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Examples

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Embodiment Construction

[0412] 1. See figure 1 , which is the coordinate function Ψ Λ (t) Flowchart of the imputation program. The coordinate function described is

[0413] Ψ Λ (t)=H Λ sin(ωt+α Λ ), (J1-1)

[0414] The procedure consists of steps (1) to (9):

[0415] (1) Set Ψ Λ Alternative coordinate function Ψ for (t) δΛ (t)

[0416] Ψ δΛ (t)=H δΛ sin(ωt+α Λ ), (J1-2)

[0417] h δΛ =H Λ +δ Λ , (J1-3)

[0418] Determine the alternative coordinate function Ψ δΛ (t) amplitude difference δ Λ value;

[0419] (2) Determine the alternative coordinate function Ψ δΛ (t) The equivalent increment ΔT of the parameter t corresponding to the starting point and the middle point of the definition domain Λ , whose value is the increment Δτ of the parameter t Λ ω times, is a constant,

[0420] ΔT Λ =ωΔτ Λ = constant, (J1-4)

[0421] (3) Determine the alternative coordinate function Ψ δΛ (t) The number n of intermediate points in the definition domain Λ -1, with i Λ (i Λ = 1, 2, 3, ...,...

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Abstract

The invention discloses an interpolation method, which comprises the following steps of: putting forward a recursion formula of arithmetic operation to accurately determine the interpolation of the position coordinate value increment of an intermediate point of a curve by aiming at paths or contour lines, such as a sine curve, an elliptic curve and a circular arc curve, required by sine functions; and putting forward a setting substitution curve to improve the fitting accuracy of the interpolation or reduce the operand of the interpolation. The method is simple in operation, and has less time for finishing the operation for the same segment number of segmentation, which is equivalent to improving the interpolation calculation speed; or, in the same operation time, the method allows the increment of the segment number of curve segmentation so as to improve the accuracy for a polygonal line to fit a curve. Because the operation is simple, the method can be implemented on a single-chip computer to reduce the cost of an interpolator. Thus, the interpolation method has the advantages of high speed, high accuracy and low installation cost.

Description

【Technical field】 [0001] The invention belongs to the field of computer numerical control, and in particular relates to an interpolation method for controlling the motion track of an object. 【Background technique】 [0002] 1) The task of imputation [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 desired 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 sequences, and control...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B19/41
Inventor 陈学恭
Owner 陈学恭
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