Signal processing method, signal processing program, recording medium storing the signal processing program and signal processor

• US 20050159931A1
• Filed: 01/18/2005
• Published: 07/21/2005
• Est. Priority Date: 01/19/2004
• Status: Active Grant

• Current Assignee: Mitutoyo Corporation
• Original Assignee: Mitutoyo Corporation
• Inventors: Umeda, Kozo, Goto, Tomonori, Kadowaki, Soichi
• Granted Patent: US 7,188,054 B2
• Time in Patent Office: Days
• US Class Current: 702/190
• CPC Class Codes: G01B 21/045 Correction of measurements G01B9/02055 takes precedence
• CPC Class Codes: G01D 1/00 Measuring arrangements giving results other than momentary value of variable, of general application G01D3/00 takes precedence; in tariff metering apparatus G01D4/00; transducers not specially adapted for a specific variable G01D5/00
• CPC Class Codes: G01D 3/022 having an ideal characteristic, map or correction data stored in a digital memory
• CPC Class Codes: G06T 5/70 Denoising; Smoothing

Abstract

A signal processing method is disclosed, where, after inputting a measurement data weighted-spline filter formula is selected to calculate an initial value of a spline filter, weight is adjusted, spline filter output is calculated, convergence is judged thereafter. When the weight is not judged converged, the weight is updated and the weight adjusting and spline filter output calculation are repeated, to conduct a robust spline filtering on the measurement data.

Claims

1. A signal processing method for filtering a measurement data obtained by measuring a surface area, comprising the steps of:

inputting the measurement data;

selecting a predetermined weighted-spline filter formula;

applying a weight on the measurement data by a unit matrix, so as to obtain an initial value of a spline filter output;

adjusting step for adjusting and determining a weight on the measurement data;

calculating step for calculating a spline filter output using the determined weight;

determining convergence of the weight; and

outputting a signal processing result based on the spline filter output,

wherein, when it is not judged that the weight is converging, updating the weight and repeating the steps of adjusting the weight and calculating the spline filter output, and

wherein a smoothing spline curved surface corresponding to the measurement data is generated so as to conduct a robust spline filtering on the measurement data.

2. The signal processing method according to claim 1, wherein the determined weight is adjusted to a smaller value as a deviation of the measurement data from the generated spline curve by the weighted-spline filter formula increases.

3. The signal processing method according to claim 1, wherein, the weight is converging when an amount of weight-change in the weight adjusting step becomes a predetermined value or less.

4. The signal processing method according to claim 1, wherein the output step comprises the further steps of:

updating the weight to 1 when the weight of the measurement data exceeds a predetermined value;

re-calculating the spline filter output based upon the updated weight; and

outputting the re-calculated spline filter output as a signal processing result.

5. The signal processing method according to claim 1, wherein the step of inputting measurement data includes deleting a locally isolated singular point data relative to the measurement data.

6. A signal processing program executing a signal processing method for filtering a measurement data obtained by measuring a surface area with a computer, the method comprising the steps of:

inputting the measurement data;

selecting a predetermined weighted-spline filter formula;

applying a weight on the measurement data by a unit matrix, so as to obtain an initial value of a spline filter output;

adjusting and determining the weight on the measurement data;

calculating the spline filter output using the determined weight;

determining convergence of the weight; and

outputting a signal processing result based on the spline filter output,

wherein, when it is not judged that the weight is converging, updating the weight and repeating the steps of adjusting the weight and calculating the spline filter output, and

wherein a smoothing spline curved surface corresponding to the measurement data is generated so as to conduct a robust spline filtering on the measurement data.

7. A recording medium storing a signal processing program therein, wherein the program executes a signal processing method for filtering a measurement data obtained by measuring a surface area with a computer, the method comprising the steps of:

inputting the measurement data;

selecting a predetermined weighted-spline filter formula;

applying a weight on the measurement data by a unit matrix so as to obtain an initial value of a spline filter output;

adjusting and determining the weight on the measurement data;

calculating the spline filter output using the determined weight;

determining convergence of the weight; and

outputting a signal processing result based on the spline filter output,

wherein, when it is not judged that the weight is converging, updating the weight and repeating the steps of adjusting the weight and calculating the spline filter output, and

wherein a smoothing spline curved surface corresponding to the measurement data is generated so as to conduct a robust spline filtering on the measurement data.

8. A signal processing unit executing a signal processing program with a computer, wherein the program executes a signal processing method for filtering a measurement data obtained by measuring a surface area with a computer, the method comprising the steps of:

inputting the measurement data;

selecting a predetermined weighted-spline filter formula;

applying a weight on the measurement data by a unit matrix so as to obtain an initial value of a spline filter output;

adjusting and determining the weight on the measurement data;

calculating the spline filter output using the determined weight;

determining convergence of the weight; and

outputting a signal processing result based on the spline filter output,

wherein, when it is not judged that the weight is converging, updating the weight and repeating the steps of adjusting the weight and calculating the spline filter output, and

wherein a smoothing spline curved surface corresponding to the measurement data is generated so as to conduct a robust spline filtering on the measurement data.