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Novel interpolation method for setting substitution curve

A curve and interpolation technology, applied in the field of interpolation to control the trajectory of objects, can solve problems such as difficulty in adapting

Inactive Publication Date: 2010-11-10
陈学恭
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0007] 2. Current situation
Products based on existing interpolation methods are difficult to adapt to and meet the rapidly developing and broad market demand
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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  • Novel interpolation method for setting substitution curve
  • Novel interpolation method for setting substitution curve
  • Novel interpolation method for setting substitution curve

Examples

Experimental program
Comparison scheme
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Embodiment Construction

[0465] 1. See figure 1 , which is the coordinate function Ψ A (t) Flowchart of the imputation program. The coordinate function described is

[0466] Ψ A (t)=H A sin(ωt+α A ), (J1-1)

[0467] The procedure consists of steps (1) to (9):

[0468] (1) Set Ψ A Alternative coordinate function Ψ for (t) δA (t),

[0469] ΨδA (t)=H δA sin(ωt+α A ), (J1-2)

[0470] h δA =H A +δ A ; (J1-3)

[0471] Determine the alternative coordinate function Ψ δA (t) amplitude difference δ A value.

[0472] (2) will replace the coordinate function Ψ δA (t) The definition domain is equally divided, and the intersection point of the equal division segment is used as the middle point of the definition domain; 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,

[0473] ΔT ...

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Abstract

The invention discloses a novel interpolation method for setting a substitution curve. In the interpolation method, aiming at paths or contour lines required by sine functions such as sine curves, elliptical curves and circular curves, the position coordinate value or the increment of the position coordinate value of an intermediate point of a curve can be determined through a recursion formula only comprising arithmetic operation of addition, subtraction and multiplication; and the fitting precision is improved or the interpolation operational amount is reduced by setting the substitution curve. The method has simple operation and requires shorter time to finish the operation for the same number of subsections, namely the interpolation operational speed is improved; or, in equal operation time, the number of curve subsections is increased so as to improve the precision of a fold line fitted curve. Due to simple operation, the method can be implemented on a singlechip computer so as to reduce the cost of an interpolator. Therefore, the interpolation method has the advantages of high speed, high accuracy, low installation cost and extreme wide market prospect.

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 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 required trajectory or the required path or contour line is the key of 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 ge...

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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