Method for Providing a Travel Profile, Control Device, Machine, and Computer Program

A control device for providing a travel profile, comprising:

• a processor;
• and
• memory;
• wherein at least one of (i) a reference line, (ii) support points and (iii) a G-code program are provided as input variables, the control device being configured to:
• predetermine a reference line is predetermined;
• and
• define the reference line based on points along an edge or a corner of a workpiece, the control device being further configured to perform at least one of (i) A), B), D) and E) and (ii) C), D) and E) comprising:
• A) creating n approximation curves, the n approximation curves being created via an approximation based on at least one of (i) a different number and (ii) position of points comprising points from the reference line;
• B) creating n transformation curves, each of the n transformation curves being generated by differentiation between in each case two of the n approximation curves;
• C) creating n transformation curves via wavelet approximations of the reference line with wavelet base functions;
• D) creating n modification curves, a j′th (k=1 . . . n) modification curve being generated from a j′th transformation curve via a modification process;
• and
• E) creating the travel profile (H) by adding the n modification curves.

A control device encoded with a computer program which, when executed by a processor, causes the control device to provide a travel profile, the computer program comprising:

• program code for predetermining a reference line is predetermined;
• and
• program code for defining the reference line based on points along an edge or a corner of a workpiece, the computer program further comprising program code for performing at least one of (i) A), B), D) and E) and (ii) C), D) and E) comprising:
• A) program code for creating n approximation curves, the n approximation curves being created via an approximation based on at least one of (i) a different number and (ii) position of points comprising points from the reference line;
• B) program code for creating n transformation curves, each of the n transformation curves being generated by differentiation between in each case two of the n approximation curves;
• C) program code for creating n transformation curves via wavelet approximations of the reference line with wavelet base functions;
• D) program code for creating n modification curves, a j′th (k=1 . . . n) modification curve being generated from a j′th transformation curve via a modification process;
• and
• E) program code for creating the travel profile by adding the n modification curves.