Looking for breakthrough ideas for innovation challenges? Try Patsnap Eureka!

Interpolation method

A technique of interpolation and function, applied in the direction of program control, computer control, general control system, etc.

Inactive Publication Date: 2012-03-21
陈学恭
View PDF6 Cites 0 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[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

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Interpolation method
  • Interpolation method
  • Interpolation method

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0411] 1. See figure 1 , which is the coordinate function Ψ Λ (t) Flowchart of the imputation program. The coordinate function described is

[0412] Ψ Λ (t)=H Λ sin(ωt+α Λ ), (J1-1)

[0413] The procedure consists of steps (1) to (9):

[0414] (1) Set Ψ Λ Alternative coordinate function Ψ for (t) δΛ (t)

[0415] Ψ δΛ (t)=H δΛ sin(ωt+α Λ), (J1-2)

[0416] h δΛ =H Λ +δ Λ , (J1-3)

[0417] Determine the alternative coordinate function Ψ δΛ (t) amplitude difference δ Λ value;

[0418] (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,

[0419] ΔT Λ =ωΔτ Λ = constant; (J1-4)

[0420] (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, ..., ...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

PUM

No PUM Login to View More

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 timefor 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 contro...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

Application Information

Patent Timeline
no application Login to View More
Patent Type & Authority Patents(China)
IPC IPC(8): G05B19/41
Inventor 陈学恭
Owner 陈学恭
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Patsnap Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Patsnap Eureka Blog
Learn More
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic, Popular Technical Reports.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap|About US| Contact US: help@patsnap.com