CN107316306B - A kind of diameter radar image fast partition method based on Markov model - Google Patents

A kind of diameter radar image fast partition method based on Markov model Download PDF

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CN107316306B
CN107316306B CN201710485298.3A CN201710485298A CN107316306B CN 107316306 B CN107316306 B CN 107316306B CN 201710485298 A CN201710485298 A CN 201710485298A CN 107316306 B CN107316306 B CN 107316306B
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CN107316306A (en
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曹宗杰
梁博
崔宗勇
皮亦鸣
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University of Electronic Science and Technology of China
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T7/00Image analysis
    • G06T7/10Segmentation; Edge detection
    • G06T7/11Region-based segmentation
    • 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
    • G06T2207/10032Satellite or aerial image; Remote sensing
    • G06T2207/10044Radar image

Abstract

The invention belongs to technical field of image segmentation, and in particular to a kind of diameter radar image fast partition method based on Markov model.For the present invention based on Markov model, the comprehensive study influence of super-pixel and neighborhood system to splitting speed proposes a kind of diameter radar image fast partition method.Super-pixel pretreatment is carried out to radar image first, and generates the neighborhood system of rationally description positional relationship, the segmentation result for then carrying out the image segmentation based on MRF model and post-processing to the end accordingly with this.Experiments have shown that this method is greatly improved image segmentation speed and farthest remains segmentation quality.

Description

A kind of diameter radar image fast partition method based on Markov model
Technical field
The invention belongs to technical field of image segmentation, and in particular to a kind of synthetic aperture radar based on Markov model Image fast segmentation method.
Background technique
Synthetic aperture radar (Synthetic Aperture Radar, hereinafter referred to as SAR) can be under full weather conditions Whole day provides high-definition picture.The main method of current SAR image segmentation is based on model-driven, by segmentation problem It constructs mathematical model and realizes SAR image segmentation, tend to obtain ideal segmentation result.But with SAR imaging technique Development, magnanimity, high-resolution radar image proposes harsh requirement to the efficiency of segmentation interpretation work, so how to mention High SAR image splitting speed is the emphasis of current SAR Research on Method of Image Segmentation.
Image segmentation algorithm based on model-driven models segmentation problem based on the priori knowledge of image, Usually optimization problem is converted by segmentation problem.The method for so improving splitting speed is just mainly Optimized Iterative algorithm and reduction Two aspect of destination number to be processed.Optimized Iterative algorithm is started with from interative computation process, to algorithm itself or is entirely flowed Cheng Jinhang simplifies, to achieve the purpose that acceleration, it is however generally that difficulty is larger, and applicability is not high, is easy to appear significant problem.Subtract Processing target of waiting a little while,please quantity is the most straightforward approach that algorithm accelerates, and not change algorithm core, realization is simple, at For most common method in algorithm acceleration.After determining to reduce target object quantity to be processed to realize that algorithm accelerates, how Effectively, reasonably realize that object reduction just becomes main problem.
The neighborhood system of image, that is, in image each neighborhood of pixels relationship set, it is however generally that show as grid Change.The neighborhood system of gridding is also beneficial to the realization of great amount of images Processing Algorithm, is based especially on the image point of model-driven Cut algorithm.Operation is carried out to image pixel and reduces algorithm object to be processed, it is however generally that is had and is extracted representative object, concludes image The methods of prior information, that is to say, that how to realize that the information for describing original image using less information is the key that accelerate. And the process, it is usually associated with breaking for original gridding system, and then influence the realization of algorithm.Reasonable neighborhood system It establishes, while so that algorithm accelerates, possesses the segmentation effect of former algorithm to greatest extent.Conversely, failing to fully describe image Information then makes segmentation effect serious situations such as accidentally dividing occur.Itself for algorithm, new neighborhood system how is established, The neighborhood relationships for describing every an object are the problems that algorithm realizes part difficulty maximum.
Summary of the invention
The purpose of the invention is to overcome the above-mentioned shortcoming for SAR image segmentation, to reach SAR image segmentation Speed faster, provides a kind of SAR image fast partition method based on Markov model.Markov model, also referred to as horse Er Kefu random field models (Markov Random Field Model, hereinafter referred to as MRF model), refer to meet orthotropicity and The random field models of Markov property, it combines Bayes theoretical, provides the knob that uncertainty description is contacted with priori knowledge Band, and observed image is utilized, the objective function of segmentation problem is determined according to the optiaml ciriterion in statistical decision and estimation theory, is asked Solution meets the maximum possible distribution of these conditions, to convert optimization problem for segmentation problem.MRF model can be by element Spatial relationship combine closely, can sufficiently react the potential structure of image and the randomness of image;By strict Mathematical derivation and realization, the available segmentation result to work well.For the SAR image partitioning algorithm based on MRF model Accelerate, with the super-pixel algorithm based on Clustering, as the method for reducing object to be processed, and for super-pixel pretreatment knot The segmentation that fruit generates new neighborhood system and combines MRF model realization last.
The first step utilizes simple linear iteration cluster (Simple Linear Iterative Clustering, below letter Claiming SLIC) super-pixel algorithm pre-processes SAR image, and suitable segmentation step-length is selected, guarantees that pre-processed results do not occur Less divided and serious over-segmentation phenomenon, this method are traditional technology, and the present invention directly uses its conventional method, herein just no longer It repeats, method obtains segmentation step-length through this process.
SLIC algorithm used herein is realized fast using color similarity and space length relationship with local iteration's cluster The image segmentation of speed.
Second step generates pseudo- gridding neighborhood system to SLIC pre-processed results.
Pseudo- gridding (Pseudo-meshing) just assumes that the node letter of all super-pixel block of SLIC pre-processed results Breath, is arranged according to gridding.Firstly, according to image slices vegetarian refreshments information in super-pixel segmentation result, i.e., each pixel Transverse and longitudinal coordinate rkAnd ckAnd the gray value g of pixelk, the nodal information of super-pixel block is described:
D (i, j)=max (| r (i)-r (j) |, | c (i)-c (j) |)
Wherein super-pixel block nodal information, including transverse and longitudinal coordinate r (i) and c (i) are indicated with mean value in block;For between node Relationship, it is contemplated that processing speed reason, using maximum distance rather than Euclidean distance indicates euclidean distance between node pair D (i, j).It is obtaining After each super-pixel block nodal information, according to gridding arrangement mode, the position of each super-pixel block node within a grid is calculated Place obtains image to be processed.Since the image to be processed is much smaller compared to original image, therefore referred to as " small figure ".To institute There is node location calculating to finish, the blank spot occurred in small figure is handled, i.e., by its 2 rank neighborhood all the points gray value mean value Assign the blank spot.In addition, judging the repetition drop point situation in node location calculating process: if repeating two sections of drop point The gray scale difference value of point is in an identification section, then it is assumed that the two nodes belong to same segmentation classification, otherwise on the contrary.Identify section with Image grayscale maximum difference is determined with total pixel block number is divided.
Third step generates down-sampling neighborhood system to SLIC pre-processed results.
Similar with pseudo- gridding neighborhood system, down-sampling neighborhood system also assumes that the super-pixel in SLIC pre-processed results Block node is arranged according to gridding.Using super-pixel block average area size and image entirety size as foundation, selection Suitable sampling step length carries out down-sampling to SLIC pre-processed results, directly obtains the small figure to be processed of no blank spot.To SLIC The nodal information omitted in pre-processed results carries out judgement processing, and missed point and its nearest central point is made to compare judgement:
Wherein pixel block size is Ss, step-length is set as J between cog region, and identification section gray scale is set as G, nearest central point Distance is lm, the gray value of nearest central point is gm, the gray value for being somebody's turn to do " omission " point is gt.According to omit size of node and Gray value and its at a distance from nearest node and gray scale difference value, along with the identification section entirely divided and step-length, make point Cut the judgement of classification.
Two kinds of neighborhood systems are brought into the partitioning algorithm based on MRF model respectively and are split operation by the 4th step.
The MRF model used herein use limited mixed normal model (Finite Gauss Matured Model, with Lower abbreviation FGMM) description Characteristic Field, Potts model description label field, Iterative conditional modes (Iterative Condition Model, hereinafter referred to as ICM) algorithm is as partitioning algorithm.
FGMM model is the part for having similar features region to each of image, establishes mixed Gauss model.This side Method can be regarded as based on regional area and based on the integrated processes of Gaussian function, applicability, in terms of accomplish It is balanced.The value range of Potts model is multiple values.But as Ising model, which also provides each position only There are two types of values.Assuming that certain point pixel is x in imagek, then the conditional probability in Potts model can indicate are as follows:
Wherein,It is the set of its neighborhood territory pixel of i pixel, α and β are corresponding potential parameters.The part of Potts model is general Rate are as follows:
ICM algorithm mainly updates image pixel point by point achievees the purpose that image segmentation.Assuming that image y={ y1, y2,…,ynEach pixel yiIt is independent from each other under conditions of given initial segmentation result x, and yiCondition point about x Cloth only depends on the label x of the pixeli, i.e.,
f(yi| x)=f (yi|xi)
Therefore, y can be expressed as about the condition distribution of x
Then last segmentation result can be expressed as
5th step, post-processes segmentation result.Pair when small figure segmentation result is generated according to neighborhood system before It should be related to, compare back SLIC pre-processed results, obtain the segmentation result in the case of two kinds of neighborhoods.
6th step is assessed the different segmentation situation of two kinds of neighborhood systems and is accepted or rejected.
To the assessment that segmentation result exercises supervision, use with Dice Ratio and SAMainly to assess parameter.Supervision assessment It is that the true value figure by segmentation result and manually marked compares assessment.Wherein, Dice Ratio is the correctness by dividing Precision and sensibility Recall comprehensive assessment.To judge the secondary segmentation result, following several parameters: kidney-Yang are introduced Property (true positive is abbreviated as tp) i.e. positive region in true destination number, false positive (false positive, brief note It is true in true negative (true negative, be abbreviated as tn) i.e. negative areas for the decoy quantity in fp) i.e. positive region Destination number, the decoy quantity in false negative (false negative, be abbreviated as fn) i.e. negative areas.Precision as a result, Precision and sensibility Recall is defined as:
Segmentation precision SAFor
Wherein, TkIndicate region RkTrue value.
Last segmentation result is chosen according to the assessment situation of aforementioned four assessment parameter.
The invention has the benefit that compared with the prior art, image segmentation speed is greatly improved in method of the invention It spends and farthest remains segmentation quality.
Detailed description of the invention
Fig. 1 is gridding neighborhood system structure in MRF model;
Fig. 2 is SLIC algorithm principle figure;
Fig. 3 is Dice Ratio supervision assessment schematic diagram.
Specific embodiment
Summary is described in detail technical solution of the present invention, and details are not described herein.

Claims (1)

1. a kind of diameter radar image fast partition method based on Markov model, which is characterized in that including following Step:
S1, SAR image is pre-processed:
SAR image is pre-processed using simple linear iteration cluster super-pixel algorithm, selects suitable segmentation step-length;
S2, according to the pre-processed results of step S1, generate pseudo- gridding neighborhood system:
The nodal information of all super-pixel block of S21, hypothesis pre-processed results, is to arrange according to gridding, to super-pixel block Nodal information modeling it is as follows:
D (i, j)=max (| r (i)-r (j) |, | c (i)-c (j) |)
Wherein, super-pixel block nodal information, r are indicated with mean value in blockkAnd ckFor the transverse and longitudinal coordinate of each pixel, gk pixel Gray value, D (i, j) indicates that euclidean distance between node pair, i, j are node serial number, and n is pixel value in block of pixels, and n (i) is the picture of node i Pixel value in plain block, S are block of pixels area, and S (i) is the block of pixels area of node i;
S22, it after obtaining each super-pixel block nodal information, according to gridding arrangement mode, calculates each super-pixel block node and exists Where position in grid, image to be processed is obtained;
S23, after obtaining all node locations according to step S22, at the blank spot occurred in the image to be processed of acquisition Reason, i.e., assign 2 rank neighborhood all the points gray value mean value of blank spot to the blank spot;
S24, identification section is obtained according to image grayscale maximum difference and the total pixel block number of segmentation;
S3, according to the pre-processed results of step S1, generate down-sampling neighborhood system:
S31, using super-pixel block average area size and image entirety size as foundation, suitable sampling step length is selected, to SLIC Pre-processed results carry out down-sampling, directly obtain the small figure to be processed of no blank spot;
S32, judgement processing is carried out to the nodal information omitted in the pre-processed results of step S1, makes missed point and its nearest center Point compares judgement:
Wherein pixel block size is Ss, step-length is set as J between cog region, and identification section gray scale is set as G, the distance of nearest central point For lm, the gray value of nearest central point is gm, the gray value of the missed point is gt
S33, according to the step S32 omission size of node obtained and gray value and its at a distance from nearest node and gray scale Difference makes the judgement of segmentation classification along with the identification section entirely divided and step-length;
S4, it two kinds of neighborhood systems is brought into respectively in the partitioning algorithm based on Markov model is split operation, it is described Markov model uses the Characteristic Field of limited mixed normal model description, the label field of Potts model description, and uses and change For condition pattern algorithm as partitioning algorithm, specifically:
Limited mixed normal provides that only there are two types of values for each position, it is assumed that certain point pixel is x in imagek, then Potts model In conditional probability be expressed as:
Wherein, xiIt is the pixel of node i, xjIt is the pixel of node j,It is the set of node i neighborhood territory pixel, NiIt is the neighbour of node i Domain, α and β are corresponding potential parameters;
The local probability of Potts model are as follows:
Assuming that image y={ y1,y2,…,ynEach pixel yiIt is mutually indepedent under conditions of given initial segmentation result x , and yiThe label x of the pixel is only depended on about the condition distribution of xi, it may be assumed that
f(yi| x)=f (yi|xi)
Therefore, y can be indicated about the condition distribution of x are as follows:
Segmentation result indicates are as follows:
S5, segmentation result is post-processed:
Corresponding relationship when image segmentation result to be processed is generated according to neighborhood system in step S3, compares back step S1 and locates in advance Reason is as a result, obtain the segmentation result in the case of two kinds of neighborhoods;
S6, the assessment different segmentation situation of two kinds of neighborhood systems simultaneously choose last segmentation result:
To the assessment that segmentation result exercises supervision, use with Dice Ratio and SATo assess parameter, wherein Dice Ratio is From the correctness Precision divided and sensibility Recall comprehensive assessment, to judge the secondary segmentation result, introduce following Several parameters: true positives, i.e., the true destination number in positive region are abbreviated as tp, false positive, i.e. decoy in positive region Quantity, is abbreviated as fp, true negative, i.e., the true destination number in negative areas is abbreviated as tn, false negative, i.e., in negative areas Decoy quantity, is abbreviated as fn;Precision Precision and sensibility Recall be just as a result, is defined as:
Segmentation precision SAAre as follows:
Wherein, TkIndicate region RkTrue value.
The assessment situation for assessing parameter according to the four of above-mentioned introducing chooses last segmentation result.
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