CN109147038A - Pipeline three-dimensional modeling method based on three-dimensional point cloud processing - Google Patents

Pipeline three-dimensional modeling method based on three-dimensional point cloud processing Download PDF

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CN109147038A
CN109147038A CN201810957920.0A CN201810957920A CN109147038A CN 109147038 A CN109147038 A CN 109147038A CN 201810957920 A CN201810957920 A CN 201810957920A CN 109147038 A CN109147038 A CN 109147038A
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CN109147038B (en
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王亮
闫碧莹
王凤
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Beijing University of Technology
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Beijing University of Technology
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T17/00Three dimensional [3D] modelling, e.g. data description of 3D objects
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T5/00Image enhancement or restoration
    • G06T5/20Image enhancement or restoration by the use of local operators
    • G06T5/70
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T7/00Image analysis
    • G06T7/10Segmentation; Edge detection
    • G06T7/162Segmentation; Edge detection involving graph-based methods
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T7/00Image analysis
    • G06T7/30Determination of transform parameters for the alignment of images, i.e. image registration
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2207/00Indexing scheme for image analysis or image enhancement
    • G06T2207/10Image acquisition modality
    • G06T2207/10028Range image; Depth image; 3D point clouds
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2207/00Indexing scheme for image analysis or image enhancement
    • G06T2207/20Special algorithmic details
    • G06T2207/20072Graph-based image processing

Abstract

The invention discloses the pipeline three-dimensional modeling methods handled based on three-dimensional point cloud comprising, data prediction is carried out to input point cloud: removing the spot noise that peels off, estimates the normal vector of each point;The cylinder parameter model collection of candidate pipeline is obtained by the method for fitting circle cylindrical equation using stochastical sampling consistency algorithm;It using a graph model description point cloud, and constructs and marks energy function corresponding to point cloud using candidate family collection, cut algorithmic minimizing energy function using improved figure, obtain all corresponding cylindrical surface parameters of pipeline and its respective interior point set in a cloud;Using the syntople of viewpoint, the pipeline detected in the point cloud under different points of view is registrated using ICP algorithm, finally rebuilds the threedimensional model of entire factory's pipeline.The method proposed can be applied to the three-dimensional point cloud of plurality of devices acquisition, have the characteristics that flexibly easy-to-use;Model parameter estimation is accurate, and the complete three-dimensional model of factory's pipeline may be implemented.

Description

Pipeline three-dimensional modeling method based on three-dimensional point cloud processing
Technical field
The present invention relates to three-dimensional point cloud modeling technique fields, more particularly to a kind of pipeline three based on three-dimensional point cloud processing Tie up modeling method.
Background technique
In recent years, as country carries forward vigorously intelligent plant construction, intelligent preferable factory applies in progress Pipe installing Technology realization product development all is defined using based on model before work, completely expresses pipeline with an integrated three-dimensional entity model Design information and manufacture information (product structure, three-dimensional dimension etc.).But for existing factory, in intelligent construction, need Upgrading is carried out to it, for outmoded chemical manufacturing plant pipes equipment, lack the collection and analysis of comprehensive status data, Existing factory's pipe-line equipment objective details in time how are obtained, are the main problem faced.The three-dimensional modeling energy of pipeline The geometric parameter of enough intuitive description pipelines is conducive to the distribution situation and damage feelings of true reflection factory's pipeline comprehensively Condition, therefore three-dimensional modeling is studied, the management and application for factory's pipeline data have actual meaning.Factory has environment The characteristics of complexity, conduit volume is huge, bad environments.Existing factory's pipe detection is mostly by being accomplished manually, by naked eyes Heavy workload is detected, precision is low, is easy to fail to judge.This, which results in data record, error, the initial parameter inaccuracy of pipeline.It utilizes Sensor carries out pipe detection and has then liberated human resources, will not make one to face potential danger.Currently, utilizing sensor tube There are mainly two types of detection modes: one is two-dimensional figure, image, another kind is a cloud, traditional image recording mode due to The steric informations such as phase are lost, so that multi-angle observation and analysis and research can not be carried out to object;And it puts cloud and is then widely present The every field of real world can truly record the various 3 D stereo information of body surface.For adopting for three-dimensional point cloud Collection, the 3 D laser scanning equipment that international advanced means are all made of profession are completed.But such equipment there are equipment prices extremely Valuableness, operating method is cumbersome, is difficult to complete professional, is not suitable for promoting and applying.It is obtained using Kinect sensor The three-dimensional information of environment or object operates more easy, equipment price compared with the large-scale three dimensional Laser Scanning Equipment of profession Far below professional equipment.This is a kind of non-contact scanning technology, without touching testee, so that it may which quick obtaining is true The three-dimensional coordinate of scene can be widely applied to dangerous fields of measurement.Since its volume is less than normal, it is quickly real that unmanned plane can be carried When obtain pipeline multiple views information, avoid as blocking and the influence caused by three-dimensional modeling of the missing of point cloud data.
Summary of the invention
There are aiming at the problem that, the technical problem to be solved by the present invention is based on three-dimensional point cloud processing how to realize pipe Road identification and reconstructing three-dimensional model.
In order to solve the above-mentioned technical problems, the present invention provides the pipeline three-dimensional modeling method handled based on three-dimensional point cloud, Method includes the following steps:
Step 1, the three-dimensional point cloud that chemical manufacturing plant pipes or natural gas transportation pipeline are obtained using depth transducer, are counted Data preprocess removes the spot noise that peels off using statistical zero-knowledge, obtains pretreated three dimensional point cloud.
Step 2, with fitting process to each point estimations vector in pretreated three dimensional point cloud.
Step 3 describes the obtained sextuple array constituted with position and normal vector using stochastical sampling consistency algorithm Three dimensional point cloud sampled, and be fitted to obtain the cylinder parameter mould of candidate pipeline by the method for fitting circle cylindrical equation Type collection.
Step 4, construction energy function, using the cylinder parameter model collection of the candidate pipeline fitted in step 3 as energy The initial labels of function cut algorithmic minimizing energy function using improved figure and determine cylindrical surface global best estimates in point cloud, To detect the corresponding cylindrical surface of multiple pipelines in three-dimensional point cloud parameter and interior point set.
Step 5, by the collected three dimensional point cloud operating procedure 1 of different points of view to step 4, respectively obtain different perspectives Then lower pipeline reconstructed results are registrated it using ICP algorithm using the syntople of viewpoint two-by-two, are spliced, final To the threedimensional model of entire factory's pipeline.
Method is improved the present invention has the advantages that this method makes statistical zero-knowledge remove outlier sound for the prior art The accuracy of vector estimation obtains the cylinder parameter model collection of multiple candidate pipelines using the position and normal vector of point, will be traditional Figure cut algorithm and be transplanted to the segmentation of three-dimensional point cloud from two dimensional image segmentation, cut algorithmic minimizing energy letter using improved figure Number, fast and accurately detects the corresponding cylindrical surface parameter of multiple pipelines and the Models Sets in three-dimensional point cloud, uses ICP algorithm To multiple views point cloud registering, splicing, the threedimensional model of entire factory's pipeline is finally obtained.
Detailed description of the invention
Fig. 1 is the flow chart of the embodiment of the present invention.
Fig. 2 is pipeline point cloud registering, splices flow chart.
Specific embodiment
The specific technical solution of the present invention is specifically described in conjunction with the accompanying drawings and embodiments.
Refering to Figure 1, the present invention provides a kind of pipeline three-dimensional modeling methods based on three-dimensional point cloud processing, including Following steps:
Step 1, the three-dimensional point cloud that chemical manufacturing plant pipes or natural gas transportation pipeline are obtained using depth transducer, are counted Data preprocess removes the spot noise that peels off using statistical zero-knowledge.
For any point in the pipeline point cloud of scanning, take the point k neighborhood spatially, calculate each point to it The average distance of all k point of proximity.Assuming that obtain the result is that a Gaussian Profile, shape are determined by mean value and standard deviation, Point of the average distance except critical field (being defined by global distance average and variance), is defined as outlier, and from number It is deleted according to concentrating.
Step 2, with fitting process to point estimations vector each in point cloud data.
1) for any point p in the pipeline point cloud of scanningi, take the point spatially radius be r neighborhood, then this Point in neighborhood is k neighbour's point set of the point.The value of radius of neighbourhood r and the value of k and acquisition equipment are between pipeline Distance and put cloud sparse degree it is related, being usually 30 or so to setting k value radius should 0.06m-0.20m it Between.
It the use of the distance between acquisition equipment to pipeline is 1.2m-4m, vertical visual field is to be up to 60 degree, and horizontal field of view is most Greatly 70 degree, according to acquisition distance and the resolution ratio of acquisition equipment, it is estimated that the big densification of collected pipeline point cloud Degree, if acquisition equipment at a distance from pipeline farther out, point cloud it is sparse, then the biggish radius of neighbourhood is set, if being closer, point cloud it is close Collection, then be arranged the lesser radius of neighbourhood.Radius should be between 0.06m-0.20m being 30 or so to setting k value.
2) its covariance matrix is calculated by obtained k neighbour's point set, it is as follows that this puts corresponding covariance matrix C:
Herein, k is point piThe number of Neighbor Points,Indicate the three-dimensional mass center of nearest neighbors, λjIt is covariance matrix J-th of characteristic value,It is j-th of feature vector.Feature vector corresponding to the minimal eigenvalue of covariance matrix is taken, as Point piNormal vector ni
Step 3 describes the obtained sextuple array constituted with position and normal vector using stochastical sampling consistency algorithm Three-dimensional point cloud sampled, and the cylinder parameter model collection of candidate pipeline is obtained by the method for fitting circle cylindrical equation.
1) two point p are randomly selected1And p2And corresponding normal direction n1And n2, it is assumed that the two are put on the surface of cylinder, that Obtain the axial n=n of cylinder1×n2
2) by p1And p2Straight line where two o'clock, p1+t·n1=0 and p2+t·n2=0 projects on plane nx=0, and two The intersection point of the projection of straight line is exactly the point p on cylinder axis0
3) the radius r that cylinder is arranged is p1To point p0Distance.
The parameter for obtaining cylinder is a point p on axis0=(x0, y0, zo), axial unit normal vector n=(nx, ny, nz), circle Column radius is r.Cylinder parameter is verified using the mechanism of stochastical sampling consistency.The process is repeated, is obtained by multiple circles The candidate cylinder parameter model collection that column is constituted.
Step 4, construction energy function, using the cylinder parameter model collection of the candidate pipeline fitted in step 3 as energy The initial labels of function cut algorithmic minimizing energy function using improved figure and determine cylindrical surface global best estimates in point cloud, To detect the corresponding cylindrical surface of multiple pipelines in three-dimensional point cloud parameter and interior point set.
1) describe three-dimensional point cloud using non-directed graph: proposed by the invention based on the algorithm that figure is cut is to regard three-dimensional point cloud as One non-directed graph G=(V, Σ), Point Set V indicate the set that all points are constituted in point cloud, and Σ indicates consecutive points phase in point cloud The set on the side for the composition that connects.Use the method construct neighborhood of a point system of construction kd-tree, the side (V of weighted graphi, Vj)∈ The weight of Σ represents the similarity between consecutive points, this similarity can be gray value, position, brightness a little etc..The present invention The difference of three dimensional local information is used to realize measurement.
2) construct energy function: point cloud in cylindrical surface global best estimates problem be exactly be in three-dimensional point cloud it is each point mark Note one unique label fi.The label value of point constitutes tally set F={ f0, f1, fM, wherein fi(i ∈ [1M]) is represented The point being marked is the point on i-th of cylindrical surface, f0Point in non-cylindrical is represented, the number M of label is improved by proposing Figure cuts algorithm and automatically determines.To estimate the cylinder in a cloud under global optimum's meaning, following energy function is constructed:
Wherein, first item is unitary item DpResidual error of the () metric point on the corresponding cylinder model of label marked, Section 2 is binary item V () measurement flatness, i.e., two neighboring point is labeled as the cost of different cylinders, and N is consecutive points Set, Section 3 L () are tag energy, measure the number for using label in annotation process, prevent over-fitting.
For unitary item Dp(f (p)), by calculating point ppIt is indicated to the distance that label is the candidate cylinder of f (p), f (p) table Show to point p mark as a result, f (p) ∈ F.I.e.
Dp(f (p))=D-r
Wherein D indicates point ppTo the distance of cylinder axis, are as follows:
Binary item V (f (p), f (q)) in formula, also referred to as smooth item are described using Potts model, it may be assumed that
V (f (p), f (q))=λ ωpq·δ(f(p)≠f(q))
Wherein δ () is indicator function, i.e.,
ωpqFor penalty coefficient, the present invention uses gaussian kernel function:F (p) is indicated to point p Mark as a result, f (p) ∈ F, f (q) indicate to mark point q as a result, f (q) ∈ F.As point ppPoint p in neighborhoodq, it is noted as With ppLabel difference when, corresponding cost function is not zero.σ value range is 3~5, the weight coefficient λ value model of smooth item Enclose is 0.5~2.5.
Tag energy item L (F) in formula, the number of label after measurement segmentation, avoids generating over-fitting, prevents to have A few data point of noise is accidentally fitted to cylinder, i.e.,
L (F)=hM+ η
Wherein M is the number of label, and h is the weight coefficient of tag energy item, the value usually between 10~20.η is 10 Exterior point ratio again, exterior point ratio refer to that those are not marked the ratio that the point of label accounts for entire point cloud, can effectively guide The determination of label number.
3) algorithmic minimizing energy function is cut by figure.It utilizes proposed extension α-expansion figure to cut algorithm to find Optimal tally setFor each point in pipeline point cloud, using the label in tag set to it Be labeled so that energy function constantly reduces, i.e., constantly in optimization point cloud each point label, until energy function no longer Reduce, determines global best estimates in this way, obtainA label corresponds in the three-dimensional point cloud detectedA pipe The cylindrical surface parameter in road and its respectively interior collection.
Wherein, optimal tally set is determined by following steps, specifically:
1) the cylinder parameter model collection for the candidate pipeline for fitting step 3 is as the initial labels collection F of energy function;
2) each point in three-dimensional point cloud is labeled using extension α-expansion algorithm, finds satisfactionOptimal tally setWith corresponding cylindrical surface parameter and interior point set.
3) if label isThe corresponding interior number of model be less than a certain threshold value, then by its model parameter Compared with other model parameters, if being with labelThe rotation angle of model parameter, the small Mr. Yu of translation distance One threshold value then merges the corresponding interior point of two models, labelWithFusion is denoted asLabel numberSubtract 1, it is on the contrary by this The corresponding interior point of model is set as exterior pointSimilarly, the label in tally set is traversed, realizes the fusion of label and the essence of model Refinement.
4) to label obtained in the previous stepInterior point set sampled using stochastical sampling consistency algorithm, and by quasi- The method for closing cylindrical surface equation obtains the cylinder parameter model collection of candidate pipelineIt willMark after merging fining with previous step Label collectionIt asks simultaneously, i.e.,As the initial labels collection of energy function, iteration above-mentioned steps 2) -4), until energy no longer Reduce.Obtain the tally set of global optimumEach label(whereinThe cylindrical surface parameter of corresponding multiple pipelines And interior point set.
The collected three-dimensional point cloud operation above-mentioned steps 1 of different points of view to step 4, are respectively obtained different points of view by step 5 Then lower pipeline reconstructed results are registrated it using ICP algorithm using the syntople of viewpoint two-by-two, are spliced, final To the threedimensional model of entire factory's pipeline.Please refer to shown in Fig. 2 the specific steps are
1) wherein cloud is denoted as Q as source point cloud for order, and taking its abutment points cloud P using the syntople at visual angle is target point Cloud,
2) n point is taken to be denoted as P at random in target point cloud P1(P1∈P);
3) method for using kd-tree to search in source point cloud Q, according to | | Q1-P1| | the criterion of=min finds corresponding point Collect Q1(Q1∈Q);
4) match parameter spin matrix R and translation matrix t and P are calculated1To Q1Average distance
5) to P1Point set is coordinately transformed to obtain P1' and seek P1' arrive Q1Average distance As error function;
6) whether error in judgement restrains dk-dk+1< τ, τ are setting value and τ > 0, then restrain, otherwise jump to step 2).
7) target point cloud is translated and is rotated in τ by error convergence, new transformation point set P' and source point cloud Q after being registrated It merges, new point cloud is denoted as Q, then the successively point cloud adjacent with original point cloud Q and the point cloud progress adjacent with cloud P again Registration, fusion.
8) syntople for utilizing viewpoint, is successively registrated all of its neighbor point cloud, finally obtains the pipe of entire factory The threedimensional model in road.
The present invention propose it is a kind of based on three-dimensional point cloud processing pipeline three-dimensional modeling method, using statistical zero-knowledge filter out from Group's spot noise, the cylinder parameter of candidate pipeline is fitted according to the location information of point and normal vector, uses the improvement cut based on figure Figure cuts algorithm, minimizes energy function, determines global best estimates, obtain the optimized parameter of pipeline cylinder, finally calculated using ICP Method registration splices to viewpoint pipeline model, finally obtains the threedimensional model of entire factory's pipeline.With save the cost, convenient for answering With model parameter estimation is accurate, the characteristics of can efficiently obtaining the threedimensional model of factory's pipeline comprehensively.
The above content is the further descriptions for combining optimum implementation to be the present invention, it cannot be assumed that of the invention Specific implementation be only limited to these explanations.Those skilled in the art should understand that being limited not departing from by the appended claims In the case where fixed, it can carry out various modifications in detail, all should be considered as protection scope of the present invention.

Claims (6)

1. the pipeline three-dimensional modeling method based on three-dimensional point cloud processing, it is characterised in that: method includes the following steps:
Step 1, the three-dimensional point cloud that chemical manufacturing plant pipes or natural gas transportation pipeline are obtained using depth transducer, it is pre- to carry out data Processing removes the spot noise that peels off using statistical zero-knowledge, obtains pretreated three dimensional point cloud;
Step 2, with fitting process to each point estimations vector in pretreated three dimensional point cloud;
Step 3, the obtained sextuple array constituted with position and normal vector is described using stochastical sampling consistency algorithm three Dimension point cloud data is sampled, and is fitted to obtain the cylinder parameter model of candidate pipeline by the method for fitting circle cylindrical equation Collection;
Step 4, construction energy function, using the cylinder parameter model collection of the candidate pipeline fitted in step 3 as energy function Initial labels, using improved figure cut algorithmic minimizing energy function determine point cloud in cylindrical surface global best estimates, thus Detect the corresponding cylindrical surface of multiple pipelines in three-dimensional point cloud parameter and interior point set;
Step 5, by the collected three dimensional point cloud operating procedure 1 of different points of view to step 4, respectively obtain different perspectives down tube Then road reconstructed results are registrated it using ICP algorithm using the syntople of viewpoint two-by-two, are spliced, finally obtained whole The threedimensional model of a factory's pipeline.
2. the pipeline three-dimensional modeling method according to claim 1 based on three-dimensional point cloud processing, it is characterised in that: this method Step 1 in
For any point in the pipeline point cloud of scanning, take the point k neighborhood spatially, calculate each point to all of its The average distance of k point of proximity;Assuming that obtain the result is that a Gaussian Profile, shape are determined by mean value and standard deviation, it is average Distance is defined as outlier in the point that critical field is except being defined by global distance average and variance, and from data set Middle deletion.
3. the pipeline three-dimensional modeling method according to claim 1 based on three-dimensional point cloud processing, it is characterised in that: step 2, With fitting process to point estimations vector each in point cloud data;
1) for any point p in the pipeline point cloud of scanningi, take the point the neighborhood that spatially radius is r, then this neighborhood In point be the point k neighbour's point set;The value of radius of neighbourhood r and the value of k and acquisition equipment between pipeline away from From and point cloud sparse degree it is related, radius should be between 0.06m-0.20m being usually 30 or so to setting k value;
It the use of the distance between acquisition equipment to pipeline is 1.2m-4m, vertical visual field is to be up to 60 degree, and horizontal field of view is up to 70 degree, according to acquisition distance and the resolution ratio of acquisition equipment, it is estimated that the big consistency of collected pipeline point cloud, if At a distance from pipeline farther out, point cloud is sparse for acquisition equipment, then the biggish radius of neighbourhood is arranged, if being closer, point cloud is intensive, then The lesser radius of neighbourhood is set;Radius should be between 0.06m-0.20m being 30 or so to setting k value;
2) its covariance matrix is calculated by obtained k neighbour's point set, it is as follows that this puts corresponding covariance matrix C:
Herein, k is point piThe number of Neighbor Points,Indicate the three-dimensional mass center of nearest neighbors, λjIt is the jth of covariance matrix A characteristic value,It is j-th of feature vector;Feature vector corresponding to the minimal eigenvalue of covariance matrix is taken, as point pi Normal vector ni
4. the pipeline three-dimensional modeling method according to claim 1 based on three-dimensional point cloud processing, it is characterised in that: step 3, It is carried out using three-dimensional point cloud of the stochastical sampling consistency algorithm to the obtained sextuple array description constituted with position and normal vector Sampling, and the cylinder parameter model collection of candidate pipeline is obtained by the method for fitting circle cylindrical equation;
1) two point p are randomly selected1And p2And corresponding normal direction n1And n2, it is assumed that the two points are on the surface of cylinder, then obtaining To the axial n=n of cylinder1×n2
2) by p1And p2Straight line where two o'clock, p1+t·n1=0 and p2+t·n2=0 projects on plane nx=0, and two straight The intersection point of the projection of line is exactly the point p on cylinder axis0
3) the radius r that cylinder is arranged is p1To point p0Distance;
The parameter for obtaining cylinder is a point p on axis0=(x0, y0, zo), axial unit normal vector n=(nx, ny, nz), cylindrical radius For r;Cylinder parameter is verified using the mechanism of stochastical sampling consistency;The process is repeated, obtains being made of multiple cylinders Candidate cylinder parameter model collection.
5. the pipeline three-dimensional modeling method according to claim 1 based on three-dimensional point cloud processing, it is characterised in that: step 4, Energy function is constructed, using the cylinder parameter model collection of the candidate pipeline fitted in step 3 as the initial labels of energy function, Algorithmic minimizing energy function is cut using improved figure and determines cylindrical surface global best estimates in point cloud, to detect three-dimensional point The parameter on the corresponding cylindrical surface of multiple pipelines in cloud and interior point set;
1) three-dimensional point cloud is described using non-directed graph: based on the algorithm that figure is cut be three-dimensional point cloud is regarded as a non-directed graph G=(V, Σ), Point Set V indicates the set that all points are constituted in point cloud, and Σ indicates the side that consecutive points are interconnected to constitute in point cloud Set;Use the method construct neighborhood of a point system of construction kd-tree, the side (V of weighted graphi, Vj) ∈ Σ weight represent it is adjacent Similarity between point, this similarity can be gray value a little, position, brightness;Come using the difference of three dimensional local information Realize measurement;
2) construct energy function: point cloud in cylindrical surface global best estimates problem be exactly be in three-dimensional point cloud it is each point mark one A unique label fi;The label value of point constitutes tally set F={ f0, f1... fM, wherein fiWhat (i ∈ [1M]) representative was marked Point is the point on i-th of cylindrical surface, f0Point in non-cylindrical is represented, the number M of label cuts algorithm by proposed improved figure It automatically determines;To estimate the cylinder in a cloud under global optimum's meaning, following energy function is constructed:
Wherein, first item is unitary item DpResidual error of the () metric point on the corresponding cylinder model of label marked, Section 2 For binary item V () measurement flatness, i.e., two neighboring point is labeled as the cost of different cylinders, and N is the set of consecutive points, Section 3 L () is tag energy, measures the number for using label in annotation process, prevents over-fitting;
For unitary item Dp(f (p)), by calculating point ppIt is indicated to the distance that label is the candidate cylinder of f (p), f (p) expression pair Point p mark as a result, f (p) ∈ F;I.e.
Dp(f (p))=D-r
Wherein D indicates point ppTo the distance of cylinder axis, are as follows:
Binary item V (f (p), f (q)) in formula, also referred to as smooth item are described using Potts model, it may be assumed that
V (f (p), f (q))=λ ωpq·δ(f(p)≠f(q))
Wherein δ () is indicator function, i.e.,
ωpqFor penalty coefficient, gaussian kernel function is used:F (p) indicate to point p mark as a result, F (p) ∈ F, f (q) indicate to mark point q as a result, f (q) ∈ F;As point ppPoint p in neighborhoodq, it is noted as and ppLabel When different, corresponding cost function is not zero;σ value range is 3~5, the weight coefficient λ value range of smooth item is 0.5~ 2.5;
Tag energy item L (F) in formula, the number of label after measurement segmentation, avoids generating over-fitting, prevents having noise A few data point be accidentally fitted to cylinder, i.e.,
L (F)=hM+ η
Wherein M is the number of label, and h is the weight coefficient of tag energy item, the value usually between 10~20;η is 10 times Exterior point ratio, exterior point ratio refer to that those are not marked the ratio that the point of label accounts for entire point cloud, can effectively guide tag The determination of number;
3) algorithmic minimizing energy function is cut by figure;Utilize proposed extension α-expansion figure cut algorithm find it is optimal Tally setFor each point in pipeline point cloud, it is carried out using the label in tag set Mark, so that energy function constantly reduces, i.e., the label of each point in constantly optimization point cloud, until energy function no longer subtracts It is small, global best estimates are determined in this way, are obtainedA label corresponds in the three-dimensional point cloud detectedA pipeline Cylindrical surface parameter and its respectively in collection;
Wherein, optimal tally set is determined by following steps, specifically:
1) the cylinder parameter model collection for the candidate pipeline for fitting step 3 is as the initial labels collection F of energy function;
2) each point in three-dimensional point cloud is labeled using extension α-expansion algorithm, finds satisfactionOptimal tally setWith corresponding cylindrical surface parameter and interior point set;
3) if label isThe corresponding interior number of model be less than a certain threshold value, then by its model parameter and its Its model parameter compares, if being with labelThe rotation angle of model parameter, translation distance be less than a certain threshold Value then merges the corresponding interior point of two models, labelWithFusion is denoted asLabel numberSubtract 1, it is on the contrary by this model Corresponding interior point is set as exterior pointSimilarly, the label in tally set is traversed, realizes the fusion of label and the fining of model;
4) to label obtained in the previous stepInterior point set sampled using stochastical sampling consistency algorithm, and pass through fitting circle The method of cylindrical equation obtains the cylinder parameter model collection of candidate pipelineIt willTally set after merging fining with previous stepIt asks simultaneously, i.e.,As the initial labels collection of energy function, iteration above-mentioned steps 2) -4), until energy no longer subtracts It is small;Obtain the tally set of global optimumEach labelThe cylindrical surface parameter of corresponding multiple pipelines and interior point set, wherein
6. the pipeline three-dimensional modeling method according to claim 1 based on three-dimensional point cloud processing, it is characterised in that: step 5 By the collected three-dimensional point cloud operation above-mentioned steps 1 of different points of view to step 4, pipeline construction knot under different points of view is respectively obtained Then fruit is registrated it using ICP algorithm using the syntople of viewpoint two-by-two, is spliced, entire factory's pipe is finally obtained The threedimensional model in road;
1) wherein cloud is denoted as Q as source point cloud for order, and taking its abutment points cloud P using the syntople at visual angle is target point cloud,
2) n point is taken to be denoted as P at random in target point cloud P1(P1∈P);
3) method for using kd-tree to search in source point cloud Q, according to | | Q1-P1| | the criterion of=min finds corresponding point set Q1 (Q1∈Q);
4) match parameter spin matrix R and translation matrix t and P are calculated1To Q1Average distance
5) to P1Point set is coordinately transformed to obtain P1' and seek P1' arrive Q1Average distance As error function;
6) whether error in judgement restrains dk-dk+1< τ, τ are setting value and τ > 0, then restrain, otherwise jump to step 2);
7) target point cloud is translated and is rotated in τ by error convergence, and the new transformation point set P' after being registrated is merged with source point cloud Q, New point cloud is denoted as Q, then again successively the point cloud adjacent with original point cloud Q and a point cloud adjacent with cloud P be registrated, Fusion;
8) syntople for utilizing viewpoint, is successively registrated all of its neighbor point cloud, finally obtains the pipeline of entire factory Threedimensional model.
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