CN102175206B - Method for measuring connectivity of valley based on three-dimensional surface topography instrument - Google Patents

Abstract

The invention discloses a method for measuring the connectivity of a valley based on a three-dimensional surface topography instrument, and the method provided by the invention is characterized by comprising the following steps; firstly, determining a cross section corresponding to the support rate 80% to serve as the connectivity evaluation reference plane of the valley by utilizing a surface support rate curve which is obtained through the surface topography height data of a measured piece wherein the surface topography height data is measured by the three-dimensional surface topography instrument; solving the binary image of the connectivity evaluation reference plane; then, obtaining each cross-section empty region on the binary image of the evaluation reference plane by utilizing a marker algorithm; solving the size of each cross-section empty region and the minimum width and length characteristics of the channel in the cross-section empty region by utilizing unexpanded form operation and condition expansion operation; solving the connectivity of each cross-section empty region by utilizing connectivity functions; and finally, solving the connectivity parameters of the valley of the surface topography of the measured piece by utilizing a weighting method. By utilizing the method disclosed by the invention, the connectivity of the valley of the surface topography of the piece is ensured to have a certain amount of expression.

Description

The method for measuring connectivity of a kind of paddy based on three-dimensional surface topography instrument

Technical field

The connectedness that the present invention relates to the paddy of a kind of measurement of surface topography, particularly surface topography is measured.

Background technology

In up-to-date surface topography international standard ISO 25178, five class parameters have been stipulated in the measurement of relevant surface topography, it is height parameter, spatial parameter, hybrid parameter, functional parameter and the parameter relevant with surface segmentation, height parameter comprises the parameter relevant with the statistical distribution of surface elevation value, spatial parameter reflection surface topography is in periodicity and the directivity in space, the spatial form of hybrid parameter reflection surface topography, functional parameter comprises surface bearing rate and the volumetric parameter of a certain height that obtains from the surface bearing rate curve, and the parameter relevant with surface segmentation refers to the parameter (being the Motifs parameter) that is obtained by basic texturing method.Also only have these surface parameter in the Survey Software of existing up-to-date three-dimensional surface topography instrument.But, these parameters shortages of description surface pattern and being closely connected of function of surface, in the micromechanism of 3 d surface topography, the peak-to-peak part of crest and ripple is called paddy, connection characteristic between the paddy directly affects the mobile and distribution of lubricating oil between the surface, thereby the performances such as lubricated and sealing of piece surface are had a great impact, and in existing surface topography international standard and existing measuring surface form instrument, all do not have connectivity parameters and the measuring method thereof of paddy.

Summary of the invention

The present invention is for avoiding the existing weak point of above-mentioned prior art, the method for measuring connectivity of a kind of paddy based on three-dimensional surface topography instrument is provided, so that the connectedness of the paddy of piece surface pattern has a certain amount of expression, for setting up surface topography and the relation of lubricated and sealing property and further providing the basis for the surface topography design of Function-oriented.

The present invention is that the technical solution problem adopts following technical scheme.

The characteristics of method for measuring connectivity that the present invention is based on the paddy of three-dimensional surface topography instrument are to carry out as follows:

A, utilize three-dimensional surface topography instrument that the measured piece surface topography is measured, the altitude information of each measured point on the measured piece surface topography under the sampling interval that obtains to set;

B, by the altitude information of each measured point on the measured piece surface topography, obtain the supporting rate curve of measured piece surface topography, determine that by described supporting rate curve the surface bearing rate is 80% corresponding cross section and depth of section value, defining described cross section is the evaluation reference field of the connectedness of paddy, and described depth of section value is altitude datum;

C, utilize altitude datum that step b obtains that the altitude information of each measured point on the measured piece surface topography is carried out binary conversion treatment, obtain the bianry image of the connectedness evaluation reference field of measured piece surface topography paddy; Described binary conversion treatment is for the measured point A of height value on the measured piece surface topography more than or equal to altitude datum, sets the value of described measured point A in bianry image and is " 0 ", and measured point A is evaluating on the reference field corresponding to the material entities part; For the measured point B of height value on the measured piece surface topography less than altitude datum, set the value of described measured point B in bianry image for " 1 ", measured point B on the evaluation reference field corresponding to the part of sky, i.e. corresponding paddy;

D, on the bianry image of described connective evaluation reference field, obtain each dead zone, cross section on the described evaluation reference field by labeling algorithm;

E, shape facility is extracted with combination form mathematical algorithm in each dead zone, cross section, try to achieve the size of each dead zone, cross section, minimum widith and the length characteristic of dead zone, cross section inner gateway, and further try to achieve the interconnectedness of each dead zone, cross section with connective function; Described combination form mathematical algorithm refers to the combination with non-expanded configuration computing and condition expansion computing;

F, to a reflection of definition dead zone, described cross section, each dead zone, cross section on the evaluation reference field to each dead zone, cross section weights of the connective contribution of whole surface topography paddy, by interconnectedness size and its weights of all dead zones, cross section on the evaluation reference field, try to achieve the connectivity parameters of the paddy of measured piece surface topography with weighted method; Described each dead zone, cross section weights are defined as the area of this dead zone, cross section and the ratio of sampling area; The area of dead zone, described cross section refers to form the shared area of all tested dot matrix of this dead zone, cross section, the sampling area when described sampling area refers to three-dimensional surface topography instrument to the measured piece measuring surface form.

The characteristics of method for measuring connectivity that the present invention is based on the paddy of three-dimensional surface topography instrument also are:

Labeling algorithm in the described steps d is that the bianry image for described connective evaluation reference field carries out the twice sweep mark, according to eight be communicated with face the territory concept to the different different symbols of dead zone, cross section mark, obtain each dead zone, cross section on the evaluation reference field.

Try to achieve the size of each dead zone, cross section, minimum widith and the length characteristic of dead zone, cross section inner gateway with the combination form mathematical algorithm among the described step e, and the method for further trying to achieve the interconnectedness of each dead zone, cross section with connective function is:

For each dead zone, cross section, be that multiple dimensioned computing is carried out in unit head's disc structure element pair cross-section dead zone with non-expanded configuration operator and radius, be not communicated with until dead zone, former cross section becomes empty set or becomes, obtain the size of dead zone, cross section and the minimum widith of dead zone, cross section inner gateway;

If the result of the multiple dimensioned computing of pair cross-section dead zone X is empty set, then the interconnectedness of described cross section dead zone X is obtained by the connective function calculation of formula (1) expression:

${\mathrm{\ρ}}_{\mathrm{\ϵ}}\left(X\right)=\inf \{\mathrm{\ρ}\≥0:{\mathrm{\ϵ}}_B^{\mathrm{\ρ}}\left(X\right)\∈\mathrm{\Φ}\}---\left(2\right)$

Wherein,

Be the interconnectedness of dead zone, cross section X, span is [0,1],

The expression multiple dimensioned non-expanded configuration computing of structural element B pair cross-section dead zone X, α＞0 is constant, Φ is empty set;

If the result of the multiple dimensioned computing of pair cross-section dead zone X becomes dead zone, cross section X not to be communicated with, then with the condition expansion operator described not connected region is proceeded computing, until connected region does not become connection again, obtain the length of dead zone, cross section X inner gateway, the interconnectedness of described cross section dead zone X is obtained by the connective function calculation of formula (3) expression:

l＝ρ _εδ(X)-ρ _ε(X) (4)

${\mathrm{\ρ}}_{\mathrm{\ϵ}}\left(X\right)=\inf \{\mathrm{\ρ}\≥0:{\mathrm{\ϵ}}_B^{\mathrm{\ρ}}\left(X\right)\∉C\}---\left(5\right)$

${\mathrm{\ρ}}_{\mathrm{\ϵ\δ}}\left(X\right)=\inf \{\mathrm{\ρ}\∈N:{\mathrm{\δ}}_B^{\mathrm{\ρ}}\left({\mathrm{\ϵ}}_B^{{\mathrm{\ρ}}_{\mathrm{\ϵ}}\left(X\right)}\left(X\right)\right|X)\∈C\}---\left(6\right)$

Wherein, l is the length of path among the X of dead zone, cross section, and C is the general name of connected region, and N is integer, Expression is carried out the condition expansion computing with structural element B to the result of multiple dimensioned non-expanded configuration computing.

Compared with the prior art, beneficial effect of the present invention is embodied in:

1, the altitude information that the inventive method utilizes three-dimensional surface topography instrument that the measured piece measuring surface form is obtained, with the combination form mathematical algorithm that non-expanded configuration computing and condition expansion computing form the geometric configuration of paddy is processed, extract its geometric properties, try to achieve the size of each dead zone, cross section, minimum widith and the length characteristic of dead zone, cross section inner gateway, try to achieve the interconnectedness of each dead zone, cross section with connective function, and then obtained the accurately quantitative description of connectedness of the paddy of surface topography, for setting up surface topography and the relation of lubricated and sealing property and further providing the basis for the surface topography design of Function-oriented.

2, the inventive method can be attached on the Survey Software of three-dimensional surface topography instrument, drop in the situation that do not increase instrument hardware, the measurement of the connectivity parameters of the paddy of realization machinery part surface pattern, measuring method is simple, owing to having adopted the direct processing to the geometric configuration of paddy, obtain its shape facility, so calculated amount is little.

Description of drawings

Fig. 1 is the connection schematic diagram between the paddy of measured surface pattern;

Fig. 2 is the schematic diagram of the connectedness evaluation reference field of surface topography paddy.

Embodiment

Method for measuring connectivity based on the paddy of three-dimensional surface topography instrument in the present embodiment carries out as follows:

1, utilize three-dimensional surface topography instrument that the measured piece surface topography is measured, the altitude information of each measured point on the measured piece surface topography under the sampling interval that obtains to set;

2, altitude information by each measured point on the measured piece surface topography, try to achieve the supporting rate curve of measured piece surface topography, determine that by the supporting rate curve surface bearing rate is 80% corresponding section S and depth of section value, since on the piece surface pattern lubricating oil mainly be present in the surface bearing rate greater than 5% less than 80% liquid storage center and surface bearing rate greater than 80% liquid storage paddy district, and from the angle of tribology, standing count larger in liquid storage paddy district with piece surface pattern of favorable lubricating property, therefore define the evaluation reference field that section S is the connectedness of paddy, the depth of section value is altitude datum; Fig. 1 is the connection schematic diagram between the paddy of measured surface pattern, the connectedness of paddy measure will quantize to be communicated with between the paddy exactly strong and a little less than.

3, utilize altitude datum that step 2 obtains that the altitude information of each measured point on the measured piece surface topography is carried out binary conversion treatment, obtain the bianry image of the connectedness evaluation reference field of measured piece surface topography paddy; Binary conversion treatment is for the measured point A of height value on the measured piece surface topography more than or equal to altitude datum, sets the value of described measured point A in bianry image and is " 0 ", and measured point A is evaluating on the reference field corresponding to the material entities part; For the measured point B of height value on the measured piece surface topography less than altitude datum, set the value of described measured point B in bianry image for " 1 ", measured point B on the evaluation reference field corresponding to the part of sky, i.e. corresponding paddy; Fig. 2 is the schematic diagram of the connectedness evaluation reference field of surface topography paddy, and this evaluation reference field is comprised of material entities zone and dead zone.In Fig. 2, represented dead zone, five difform cross sections 1,2,3,4 and 5 on the evaluation reference field, i.e. five paddy districts, value is the part of " 1 " in their corresponding bianry images, is material entities around it.

4, on the bianry image of connectedness evaluation reference field, obtain each dead zone, cross section on the described evaluation reference field by labeling algorithm;

Labeling algorithm is to carry out the twice sweep mark for the described connective bianry image of evaluating reference field, according to eight be communicated with face the territory concept to the different different symbols of dead zone, cross section mark, thereby obtain each dead zone, cross section on the evaluation reference field, labeling algorithm goes out to have open in " Yi Huang; based on the 3 d surface topography Connectivity Characterization of graphical analysis; HeFei University of Technology's master thesis, 2007 ".

5, shape facility is extracted with the combination form mathematical algorithm in each dead zone, cross section, try to achieve the size of each dead zone, cross section, minimum widith and the length characteristic of dead zone, cross section inner gateway, and further try to achieve the interconnectedness of each dead zone, cross section with connective function; Described combination form mathematical algorithm refers to the combination with non-expanded configuration computing and condition expansion computing;

For each dead zone, cross section, be that multiple dimensioned computing is carried out in unit head's disc structure element pair cross-section dead zone with non-expanded configuration operator and radius, be not communicated with until dead zone, former cross section becomes empty set or becomes, obtain the size of dead zone, cross section and the minimum widith of dead zone, cross section inner gateway;

If the result of the multiple dimensioned computing of pair cross-section dead zone X is empty set, then the interconnectedness of described cross section dead zone X is obtained by the connective function calculation of formula (1) expression:

${\mathrm{\ρ}}_{\mathrm{\ϵ}}\left(X\right)=\inf \{\mathrm{\ρ}\≥0:{\mathrm{\ϵ}}_B^{\mathrm{\ρ}}\left(X\right)\∈\mathrm{\Φ}\}---\left(2\right)$

Wherein,

Be the interconnectedness of dead zone, cross section X, span is [0,1],

The expression multiple dimensioned non-expanded configuration computing of structural element B pair cross-section dead zone X, α＞0 is constant, Φ is empty set;

If the result of the multiple dimensioned computing of pair cross-section dead zone X becomes dead zone, cross section X not to be communicated with, then with the condition expansion operator described not connected region is proceeded computing, until connected region does not become connection again, obtain the length of dead zone, cross section X inner gateway, the interconnectedness of described cross section dead zone X is obtained by the connective function calculation of formula (3) expression:

l＝ρ _εδ(X)-ρ _ε(X) (4)

${\mathrm{\ρ}}_{\mathrm{\ϵ}}\left(X\right)=\inf \{\mathrm{\ρ}\≥0:{\mathrm{\ϵ}}_B^{\mathrm{\ρ}}\left(X\right)\∉C\}---\left(5\right)$

${\mathrm{\ρ}}_{\mathrm{\ϵ\δ}}\left(X\right)=\inf \{\mathrm{\ρ}\∈N:{\mathrm{\δ}}_B^{\mathrm{\ρ}}\left({\mathrm{\ϵ}}_B^{{\mathrm{\ρ}}_{\mathrm{\ϵ}}\left(X\right)}\left(X\right)\right|X)\∈C\}---\left(6\right)$

Wherein, l is the length of path among the X of dead zone, cross section, and C is the general name of connected region, and N is integer,

Expression is carried out the condition expansion computing with structural element B to the result of multiple dimensioned non-expanded configuration computing.

Owing to having adopted the combination form mathematical algorithm of the composition of non-expanded configuration computing and condition expansion computing that direct processing has been carried out in each dead zone, cross section of trying to achieve with labeling algorithm, having extracted all sidedly the connective strong and weak shape facility that affects each dead zone, cross section.With connective function quantitative expression the interconnectedness of each dead zone, cross section.

6, because each dead zone, cross section is different to the contribution of the connectedness of whole surface topography paddy, therefore, each one of dead zone, cross section definition on the evaluation reference field is reflected that dead zone, described cross section is to each dead zone, cross section weights of the connective contribution of whole surface topography paddy, by interconnectedness size and its weights of all dead zones, cross section on the evaluation reference field, try to achieve the connectivity parameters of the paddy of measured piece surface topography with weighted method; Described each dead zone, cross section weights are defined as the area of this dead zone, cross section and the ratio of sampling area; The area of dead zone, described cross section refers to form the shared area of all tested dot matrix of this dead zone, cross section, the sampling area when described sampling area refers to three-dimensional surface topography instrument to the measured piece measuring surface form.So just provide quantitative expression to the connectedness of the paddy of measured surface pattern.

The present invention is based on three-dimensional surface topography instrument to the altitude information that measures of measured piece surface topography, measure and evaluated the connectedness between the paddy of machinery part surface pattern with feature extraction.The method has realized measuring at three-dimensional surface topography instrument the connectivity parameters of piece surface pattern paddy.

Claims (1)

1. based on the method for measuring connectivity of the paddy of three-dimensional surface topography instrument, it is characterized in that carrying out as follows:

A, utilize three-dimensional surface topography instrument that the measured piece surface topography is measured, the altitude information of each measured point on the measured piece surface topography under the sampling interval that obtains to set;

B, by the altitude information of each measured point on the measured piece surface topography, obtain the supporting rate curve of measured piece surface topography, determine that by described supporting rate curve the surface bearing rate is 80% corresponding cross section and depth of section value, defining described cross section is the evaluation reference field of the connectedness of paddy, and described depth of section value is altitude datum;

C, utilize altitude datum that step b obtains that the altitude information of each measured point on the measured piece surface topography is carried out binary conversion treatment, obtain the bianry image of the connectedness evaluation reference field of measured piece surface topography paddy; Described binary conversion treatment is for the measured point A of height value on the measured piece surface topography more than or equal to altitude datum, sets the value of described measured point A in bianry image and is " 0 ", and measured point A is evaluating on the reference field corresponding to the material entities part; For the measured point B of height value on the measured piece surface topography less than altitude datum, set the value of described measured point B in bianry image for " 1 ", measured point B on the evaluation reference field corresponding to the part of sky, i.e. corresponding paddy;

D, on the bianry image of described connective evaluation reference field, obtain each dead zone, cross section on the described evaluation reference field by labeling algorithm;

E, shape facility is extracted with combination form mathematical algorithm in each dead zone, cross section, try to achieve the size of each dead zone, cross section, minimum widith and the length characteristic of dead zone, cross section inner gateway, and further try to achieve the interconnectedness of each dead zone, cross section with connective function; Described combination form mathematical algorithm refers to the combination with non-expanded configuration computing and condition expansion computing;

F, to a reflection of definition dead zone, described cross section, each dead zone, cross section on the evaluation reference field to each dead zone, cross section weights of the connective contribution of whole surface topography paddy, by interconnectedness size and its weights of all dead zones, cross section on the evaluation reference field, try to achieve the connectivity parameters of the paddy of measured piece surface topography with weighted method; Described each dead zone, cross section weights are defined as the area of this dead zone, cross section and the ratio of sampling area; The area of dead zone, described cross section refers to form the shared area of all tested dot matrix of this dead zone, cross section, the sampling area when described sampling area refers to three-dimensional surface topography instrument to the measured piece measuring surface form;

Labeling algorithm in the described steps d is that the bianry image for described connective evaluation reference field carries out the twice sweep mark, according to eight be communicated with face the territory concept to the different different symbols of dead zone, cross section mark, obtain each dead zone, cross section on the evaluation reference field;

Try to achieve the size of each dead zone, cross section, minimum widith and the length characteristic of dead zone, cross section inner gateway with the combination form mathematical algorithm among the described step e, and the method for further trying to achieve the interconnectedness of each dead zone, cross section with connective function is:

For each dead zone, cross section, be that multiple dimensioned computing is carried out in unit head's disc structure element pair cross-section dead zone with non-expanded configuration operator and radius, be not communicated with until dead zone, former cross section becomes empty set or becomes, obtain the size of dead zone, cross section and the minimum widith of dead zone, cross section inner gateway;

If the result of the multiple dimensioned computing of pair cross-section dead zone X is empty set, then the interconnectedness of described cross section dead zone X is obtained by the connective function calculation of formula (1) expression:

${\mathrm{\ρ}}_{\mathrm{\ϵ}}\left(X\right)=\inf \{\mathrm{\ρ}\≥0:{\mathrm{\ϵ}}_B^{\mathrm{\ρ}}\left(X\right)\∈\mathrm{\Φ}\}---\left(2\right)$

Wherein,

Be the interconnectedness of dead zone, cross section X, span is [0,1], The expression multiple dimensioned non-expanded configuration computing of structural element B pair cross-section dead zone X, α〉0, be constant, Φ is empty set;

If the result of the multiple dimensioned computing of pair cross-section dead zone X becomes dead zone, cross section X not to be communicated with, then with the condition expansion operator connected region is not proceeded computing, until connected region does not become connection again, obtain the length of dead zone, cross section X inner gateway, the interconnectedness of described cross section dead zone X is obtained by the connective function calculation of formula (3) expression:

l=ρ _εδ(X)-ρ _ε(X) （4）

${\mathrm{\ρ}}_{\mathrm{\ϵ}}\left(X\right)=\inf \{\mathrm{\ρ}\≥0:{\mathrm{\ϵ}}_B^{\mathrm{\ρ}}\left(X\right)\∉C\}---\left(5\right)$

${\mathrm{\ρ}}_{\mathrm{\ϵ\δ}}\left(X\right)=\inf \{\mathrm{\ρ}\∈N:{\mathrm{\δ}}_B^{\mathrm{\ρ}}\left({{\mathrm{\ϵ}}_B^{{\mathrm{\ρ}}_{\mathrm{\ϵ}}}}^{\left(X\right)}\left(X\right)\right|X)\∈C\}---\left(6\right)$

Wherein, l is the length of path among the X of dead zone, cross section, and C is the general name of connected region, and N is integer,

Expression is carried out the condition expansion computing with structural element B to the result of multiple dimensioned non-expanded configuration computing.

Images