CN112669608A - License plate recognition data re-matching method based on maximum travel time probability - Google Patents

License plate recognition data re-matching method based on maximum travel time probability Download PDF

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CN112669608A
CN112669608A CN202011558261.7A CN202011558261A CN112669608A CN 112669608 A CN112669608 A CN 112669608A CN 202011558261 A CN202011558261 A CN 202011558261A CN 112669608 A CN112669608 A CN 112669608A
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travel time
probability
upstream
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CN112669608B (en
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何春光
王殿海
蔡正义
曾佳棋
俞怡
金盛
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Zhejiang University ZJU
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Abstract

The invention discloses a license plate recognition data re-matching method based on the maximum travel time probability. The method provided by the invention comprises the following steps: and extracting the travel time of the road section, preprocessing the travel time, constructing travel time distribution, calculating the probability of the travel time and the confidence interval of the travel time, and performing a re-matching algorithm in a rolling mode. The method can automatically calculate the probability of travel time under different matching conditions aiming at the problem of wrong or unidentified license plate recognition, and execute matching according to the maximum occurrence probability of the travel time.

Description

License plate recognition data re-matching method based on maximum travel time probability
Technical Field
The invention relates to a license plate recognition data re-matching method based on the maximum travel time probability, which is used for the re-matching of the wrong recognition and the unrecognized data of license plates at the upstream and the downstream of an urban road section and belongs to the field of intelligent transportation.
Background
With continuous investment of various major cities in smart traffic and smart cities, infrastructures represented by cloud computing and camera sensors are widely constructed and applied, for example, electronic police and checkpoint systems are widely installed and used on urban roads, License Plate identification data (LPR) obtained based on the video detectors is well applied to the aspects of urban traffic demand (OD) estimation, intersection queuing length estimation, road travel time estimation and the like, wide coverage and high accuracy of traffic information acquisition are effectively improved, and good economic benefits are obtained in the aspect of urban intelligent traffic management.
The license plate identification data is essentially obtained from Optical Character Recognition (OCR) video image information, and due to factors such as illumination conditions, angles and occlusion, systematic errors such as identification errors and non-identification errors generally exist. These systematic errors present challenges to the accurate collection of traffic information.
Although the problem of wrong license plate recognition occurs, the electronic police system can still accurately capture the information such as the time stamp, the position and the like when the vehicle passes through the stop line. According to the characteristics of the license plate identification data, the invention designs a license plate identification data re-matching method based on the maximum travel time probability, and provides scientific basis for fine management of urban traffic.
Disclosure of Invention
The invention aims to provide a license plate recognition data re-matching method based on the maximum travel time probability. The method can automatically calculate the probability of travel time under different matching conditions aiming at the problem of wrong or unidentified license plate recognition, and execute matching according to the maximum occurrence probability of the travel time. In order to achieve the above object, the method provided by the present invention comprises: and extracting the travel time of the road section, preprocessing the travel time, constructing travel time distribution, calculating the probability of the travel time and the confidence interval of the travel time, and performing a re-matching algorithm in a rolling mode.
The basic steps of the invention are as follows:
s1: extracting road section travel time and preprocessing, including matching of upstream and downstream vehicle license plates of a target road section, extracting travel time and processing travel time outliers;
s2: constructing travel time distribution, and estimating the distribution of the travel time of the road section by adopting a nonparametric estimation method according to the acquired road section travel time data;
s3: calculating a travel time probability and a travel time confidence interval, and calculating the travel time probability and the travel time confidence interval according to estimated travel time Cumulative Distribution (CDF) and Inverse Cumulative Distribution (ICDF);
s4: and (4) executing a re-matching algorithm in a rolling mode, and executing the re-matching algorithm by taking the maximum travel time occurrence probability as a target.
The process of step S1 includes:
s11: and performing matching on the upstream and downstream license plate matching data by taking the identified license plate as information.
S12: and extracting travel time data of the target road section, and rolling and processing travel time outliers.
The process of step S2 includes:
the distribution of travel times is constructed using kernel density estimation. Let n travel-time sample point data { tt1,tt2,...,ttnThe independent co-distributions F are obeyed with the probability density function F. The probability density function of f is estimated as follows:
Figure BDA0002859436000000021
wherein K (-) is a kernel function-a non-negative function, and h>0 is a smoothing parameter called bandwidth; tt is a road section travel time variable; kernel function K with subscripthCalled the scaling kernel and defined as Kh(tt) ═ 1/h · K (tt/h); using a Gaussian kernel as a kernel function, i.e.
Figure BDA0002859436000000031
Wherein
Figure BDA0002859436000000032
Is a standard normal densityA function.
Figure BDA0002859436000000033
The method of bandwidth selection for kernel density estimation is as follows:
Figure BDA0002859436000000034
wherein,
Figure BDA0002859436000000035
and n is the travel time standard deviation, and the number of travel time samples.
The travel time cumulative distribution function f (tt) is calculated as follows:
Figure BDA0002859436000000036
the process of step S3 includes:
s31: calculating the travel time probability;
travel time ttijCorresponding probability pij(ttij) The calculation is as follows:
pij(ttij)=F(ttij)-F(ttij-1) (5)
f (-) is the cumulative distribution function of the corresponding travel time.
S32: calculating a travel time confidence interval;
for the travel time cumulative distribution function F, a probability p (p is more than or equal to 0 and less than or equal to 1) and an Inverse Cumulative Distribution Function (ICDF) F are set-1The return journey time threshold tt is such that:
F-1(p)=inf{tt∈R:F(tt)≥p} (6)
at a Confidence level CL β ═ 1- α, the Confidence Interval (CI) of the journey time is CI ═ tt1,tt2]Then, the confidence interval calculation method of the travel time is as follows:
p(tt1≤tt≤tt2)=β (7)
Figure BDA0002859436000000041
Figure BDA0002859436000000042
wherein, tt1Lower bound of the travel time confidence interval, tt2The upper bound of the travel time confidence interval. F-1For the inverse cumulative distribution, α is the significance level of the travel time confidence interval.
S33: rolling and searching the unmatched license plate data of the upstream and the downstream;
the rolling time window method finds the set of unmatched vehicles downstream, where the time window h is selectedwThen in the qth time window, find n unmatched vehicle sets downstream
Figure BDA0002859436000000043
Corresponding to a timestamp vector of
Figure BDA0002859436000000044
Wherein,
Figure BDA0002859436000000045
denoted as the nth vehicle in the downstream qth group,
Figure BDA0002859436000000046
time stamp denoted as n-th vehicle in the downstream q-th group passing through the stop line, dL(k)Indicating that the vehicle is in the k-th lane downstream.
Finding m unmatched vehicle sets of the q group within a reasonable time range in the upstream
Figure BDA0002859436000000047
Corresponding to a timestamp vector of
Figure BDA0002859436000000048
Wherein,
Figure BDA0002859436000000049
denoted as the mth vehicle in the upstream qth group,
Figure BDA00028594360000000410
indicated as the timestamp of the mth vehicle in the upstream qth group passing the stop line.
Since, at the β confidence level, the travel time confidence interval is:
Figure BDA00028594360000000411
the earliest and latest points in time upstream are therefore as follows:
Figure BDA00028594360000000412
Figure BDA0002859436000000051
wherein,
Figure BDA0002859436000000052
is the timestamp of the j-th vehicle collected upstream,
Figure BDA0002859436000000053
the timestamp of the downstream ith vehicle being collected, the vehicle is in the kth lane.
The time ranges corresponding to the confidence level β upstream are as follows:
Figure BDA0002859436000000054
the process of step S4 includes:
s41: performing matching with a maximum probability of occurrence of travel time;
to maximize the product of the matched time-of-flight probabilities, the objective function is as follows:
Figure BDA0002859436000000055
logarithm of the objective function, then
Figure BDA0002859436000000056
Let logpij=aijAnd logz ═ z', the objective function is converted as follows:
Figure BDA0002859436000000057
the matching matrix is X as follows, if XijAnd 1, the ith downstream license plate number is matched with the jth upstream license plate number.
Figure BDA0002859436000000058
When m is>n>When 0, namely the number of the downstream license plates is more than that of the upstream license plates, a mx (m-n) virtual license plate array is newly added, the travel time probability corresponding to the virtual license plates is larger than a small positive number of zero, and the logarithm value is a negative large value
Figure BDA0002859436000000061
New m × m travel time probability log value matrix A'm×mAs follows.
Figure BDA0002859436000000062
When n is greater than m and greater than 0, namely the number of the downstream license plates is less than that of the upstream license plates, adding (n-m) multiplied by n lines of virtual license plates, wherein a new n multiplied by n travel time probability logarithm value matrix is as follows.
Figure BDA0002859436000000063
S42: checking a matching result;
performing inspection, and if the part matched with the virtual license plate in the upstream and the downstream is reset to be unmatched data; if the re-matched travel time is not within the confidence interval, the portion is reset to unmatched data.
The invention has the following beneficial effects:
(1) and the vehicle license plate recognition data is subjected to re-matching according to the maximum travel time probability, the physical meaning is clear, the calculation result is reliable, and the matching result with high accuracy is obtained.
(2) The method provides high-precision traffic basic information for urban traffic demand (OD) estimation, intersection motor vehicle queuing estimation and road section dynamic stock estimation, and provides support for urban fine management.
Drawings
FIG. 1 is an overall flow chart of the inventive scheme.
FIG. 2 is a schematic diagram of a road network and an electronic police device.
FIG. 3 is a schematic diagram of a cumulative time-of-flight distribution and an inverse cumulative distribution.
FIG. 4 is a schematic of the travel time confidence interval.
Detailed Description
The invention is further described below with reference to fig. 1.
The basic steps of the invention are as follows:
s1: and extracting the travel time of the road section and preprocessing, including the matching of the upstream and downstream vehicle license plates of the target road section, the extraction of the travel time and the processing of the travel time outlier.
S2: and constructing travel time distribution, and estimating the distribution of the travel time of the road section by adopting a non-parameter estimation urban road travel time noise data processing method according to the acquired road section travel time data.
S3: and calculating the travel time probability and the travel time confidence interval, and calculating the travel time probability and the travel time confidence interval according to the estimated travel time Cumulative Distribution (CDF) and Inverse Cumulative Distribution (ICDF).
S4: and (4) executing a re-matching algorithm in a rolling mode, and executing the re-matching algorithm by taking the maximum travel time occurrence probability as a target.
FIG. 2 is a schematic diagram of a road network and electronic police equipment layout, and data collected by the license plate recognition video monitors of the upstream and downstream are matched according to the upstream and downstream relations of a target road section.
The process of step S1 includes:
s11: and performing matching on the upstream and downstream license plate matching data by taking the identified license plate as information.
S12: and extracting travel time data of the target road section, and rolling and processing travel time outliers.
Fig. 3 is a schematic diagram of the travel time cumulative distribution and the inverse cumulative distribution, which is a basis for constructing the travel time distribution and calculating the travel time probability, and is used in steps S2 and S3 of the scheme.
The process of step S2 includes:
the distribution of travel times is constructed using kernel density estimation. Let n travel-time sample point data { tt1,tt2,…,ttnThe independent co-distributions F are obeyed with the probability density function F. The probability density function of f is estimated as follows:
Figure BDA0002859436000000081
wherein K (-) is a kernel function-a non-negative function, and h>0 is a smoothing parameter called bandwidth; tt is a road section travel time variable; kernel function K with subscripthCalled the scaling kernel and defined as Kh(tt) ═ 1/h · K (tt/h); using a Gaussian kernel as a kernel function, i.e.
Figure BDA0002859436000000082
Wherein
Figure BDA0002859436000000083
Is a standard normal density function.
Figure BDA0002859436000000084
The method of bandwidth selection for kernel density estimation is as follows:
Figure BDA0002859436000000085
wherein,
Figure BDA0002859436000000086
and n is the travel time standard deviation, and the number of travel time samples.
The travel time cumulative distribution function f (tt) is calculated as follows:
Figure BDA0002859436000000087
the process of step S3 includes:
s31: calculating the travel time probability;
travel time ttijCorresponding probability pij(ttij) The calculation is as follows:
pij(ttij)=F(ttij)-F(ttij-1) (5)
f (-) is the cumulative distribution function of the corresponding travel time.
S32: calculating a travel time confidence interval;
for the travel time cumulative distribution function F, a probability p (p is more than or equal to 0 and less than or equal to 1) and an Inverse Cumulative Distribution Function (ICDF) F are set-1The return journey time threshold tt is such that:
F-1(p)=inf{tt∈R:F(tt)≥p} (6)
at a Confidence level CL β ═ 1- α, the Confidence Interval (CI) of the journey time is CI ═ tt1,tt2]Then, the confidence interval calculation method of the travel time is as follows:
p(tt1≤tt≤tt2)=β (7)
Figure BDA0002859436000000091
Figure BDA0002859436000000092
wherein, tt1Lower bound of the travel time confidence interval, tt2The upper bound of the travel time confidence interval. F-1For the inverse cumulative distribution, α is the significance level of the travel time confidence interval.
S33: rolling and searching the unmatched license plate data of the upstream and the downstream;
fig. 4 is a schematic diagram of travel time confidence intervals, which is used for calculating travel time confidence intervals at corresponding confidence levels and searching for unmatched license plate data in upstream and downstream.
The rolling time window method finds the set of unmatched vehicles downstream, where the time window h is selectedwThen in the qth time window, find n unmatched vehicle sets downstream
Figure BDA0002859436000000093
Corresponding to a timestamp vector of
Figure BDA0002859436000000094
Wherein,
Figure BDA0002859436000000095
denoted as the nth vehicle in the downstream qth group,
Figure BDA0002859436000000096
time stamp denoted as n-th vehicle in the downstream q-th group passing through the stop line, dL(k)Indicating that the vehicle is in the k-th lane downstream.
Finding m unmatched vehicle sets of the q group within a reasonable time range in the upstream
Figure BDA0002859436000000097
Corresponding to a timestamp vector of
Figure BDA0002859436000000098
Wherein,
Figure BDA0002859436000000099
denoted as the mth vehicle in the upstream qth group,
Figure BDA00028594360000000910
indicated as the timestamp of the mth vehicle in the upstream qth group passing the stop line.
Since, at the β confidence level, the travel time confidence interval is:
Figure BDA0002859436000000101
the earliest and latest points in time upstream are therefore as follows:
Figure BDA0002859436000000102
Figure BDA0002859436000000103
wherein,
Figure BDA0002859436000000104
is the timestamp of the j-th vehicle collected upstream,
Figure BDA0002859436000000105
the timestamp of the downstream ith vehicle being collected, the vehicle is in the kth lane.
The time ranges corresponding to the confidence level β upstream are as follows:
Figure BDA0002859436000000106
the process of step S4 includes:
s41: performing matching with a maximum probability of occurrence of travel time;
to maximize the product of the matched time-of-flight probabilities, the objective function is as follows:
Figure BDA0002859436000000107
logarithm of the objective function, then
Figure BDA0002859436000000108
Let logpij=aijAnd logz ═ z', the objective function is converted as follows:
Figure BDA0002859436000000109
the matching matrix is X as follows, if XijAnd 1, the ith downstream license plate number is matched with the jth upstream license plate number.
Figure BDA0002859436000000111
When m is>n>When 0, namely the number of the downstream license plates is more than that of the upstream license plates, a mx (m-n) virtual license plate array is newly added, the travel time probability corresponding to the virtual license plates is larger than a small positive number of zero, and the logarithm value is a negative large value
Figure BDA0002859436000000112
New m × m travel time probability log value matrix A'm×mAs follows.
Figure BDA0002859436000000113
When n is greater than m and greater than 0, namely the number of the downstream license plates is less than that of the upstream license plates, adding (n-m) multiplied by n lines of virtual license plates, wherein a new n multiplied by n travel time probability logarithm value matrix is as follows.
Figure BDA0002859436000000114
S42: checking a matching result;
performing inspection, and if the part matched with the virtual license plate in the upstream and the downstream is reset to be unmatched data; if the re-matched travel time is not within the confidence interval, the portion is reset to unmatched data.
The formulas and descriptions are presented only as a general description to facilitate one of ordinary skill in the art in understanding and practicing the present invention. It is obvious to those skilled in the art that the formula can be easily modified without inventive work, and thus all modifications and improvements made within the scope of the invention should be within the scope of the invention.

Claims (1)

1. The license plate recognition data re-matching method based on the maximum travel time probability is characterized by comprising the following steps of:
s1: extracting road section travel time and preprocessing, including matching of upstream and downstream vehicle license plates of a target road section, extracting travel time and processing travel time outliers;
s11: matching the upstream and downstream license plate matching data by taking the recognized license plate as information;
s12: extracting travel time data of a target road section, and rolling and processing travel time outliers;
s2: constructing travel time distribution, and estimating the distribution of the travel time of the road section by adopting a non-parameter estimation method according to the acquired road section travel time data, wherein the method specifically comprises the following steps:
let n travel-time sample point data { tt1,tt2,...,ttnObey an independent homography F, and the probability density function is F; the probability density function of f is estimated as follows:
Figure FDA0002859435990000011
where K (-) is a kernel function, h>0 is a smoothing parameter called bandwidth; tt is a road segment travel time variable; kernel function KhTo scale the kernel and define Kh(tt) ═ 1/h · K (tt/h); using a Gaussian kernel as a kernel function, i.e.
Figure FDA0002859435990000016
Wherein
Figure FDA0002859435990000017
Is a standard normal density function;
Figure FDA0002859435990000012
the bandwidth of the kernel density estimate is chosen as follows:
Figure FDA0002859435990000013
wherein,
Figure FDA0002859435990000015
is the standard deviation of travel time, and n is the number of travel time samples;
the travel time cumulative distribution function f (tt) is calculated as follows:
Figure FDA0002859435990000014
s3: calculating a travel time probability and a travel time confidence interval, and calculating the travel time probability and the travel time confidence interval according to the estimated travel time cumulative distribution and the inverse cumulative distribution, wherein the method specifically comprises the following steps:
s31: calculating the travel time probability;
travel time ttijCorresponding probability pij(ttij) The calculation is as follows:
pij(ttij)=F(ttij)-F(ttij-1) (5)
f (-) is the cumulative distribution function of the corresponding travel time;
s32: calculating a travel time confidence interval;
for the travel time cumulative distribution function F, a probability p (p is more than or equal to 0 and less than or equal to 1) is set, and the inverse cumulative distribution function F-1The return journey time threshold tt is such that:
F-1(p)=inf{tt∈R:F(tt)≥p} (6)
at a confidence level CL, β ═ 1- α, the confidence interval for the journey time is CI ═ tt1,tt2]Then the confidence interval for the travel time is calculated as follows:
p(tt1≤tt≤tt2)=β (7)
Figure FDA0002859435990000021
Figure FDA0002859435990000022
wherein, tt1Lower bound of the travel time confidence interval, tt2An upper bound for a travel time confidence interval; f-1For inverse cumulative distributions, α is the significance level of the travel time confidence interval;
s33: rolling and searching the unmatched license plate data of the upstream and the downstream;
the rolling time window method finds the set of unmatched vehicles downstream, where the time window h is selectedwThen in the qth time window, find n unmatched vehicle sets downstream
Figure FDA0002859435990000023
Corresponding to a timestamp vector of
Figure FDA0002859435990000024
Wherein,
Figure FDA0002859435990000025
denoted as the nth vehicle in the downstream qth group,
Figure FDA0002859435990000026
time stamp denoted as n-th vehicle in the downstream q-th group passing through the stop line, dL(k)Indicating that the vehicle is in the k-th lane downstream;
finding m unmatched vehicle sets in the q group within a set time range in the upstream
Figure FDA0002859435990000031
Corresponding to a timestamp vector of
Figure FDA0002859435990000032
Wherein,
Figure FDA0002859435990000033
denoted as the mth vehicle in the upstream qth group,
Figure FDA0002859435990000034
a time stamp expressed as the mth vehicle in the upstream qth group passing the stop line;
since, at the β confidence level, the travel time confidence interval is:
Figure FDA0002859435990000035
the earliest and latest points in time upstream are therefore as follows:
Figure FDA0002859435990000036
Figure FDA0002859435990000037
wherein,
Figure FDA0002859435990000038
is the timestamp of the j-th vehicle collected upstream,
Figure FDA0002859435990000039
a timestamp acquired by the ith vehicle at the downstream, wherein the vehicle is in the kth lane;
the time ranges corresponding to the confidence level β upstream are as follows:
Figure FDA00028594359900000310
s4: and (3) executing a re-matching algorithm in a rolling way, and executing the re-matching algorithm by taking the maximum probability of occurrence of the travel time as a target, wherein the specific steps are as follows:
s41: performing matching with a maximum probability of occurrence of travel time;
to maximize the product of the matched time-of-flight probabilities, the objective function is as follows:
Figure FDA00028594359900000311
logarithm of the objective function, then
Figure FDA0002859435990000041
Let logpij=aijAnd logz ═ z', the objective function is converted as follows:
Figure FDA0002859435990000042
the matching matrix is X as follows, if XijIf the number is 1, the ith downstream license plate number is matched with the jth upstream license plate number;
Figure FDA0002859435990000043
when m is>n>When 0, namely the number of the downstream license plates is more than that of the upstream license plates, a mx (m-n) virtual license plate array is newly added, the travel time probability corresponding to the virtual license plates is larger than a small positive number of zero, and the logarithm value is a negative large value
Figure FDA0002859435990000044
New m × m travel time probability log value matrix A'm×mThe following;
Figure FDA0002859435990000045
when n is greater than m and greater than 0, namely the number of the downstream license plates is less than that of the upstream license plates, adding (n-m) multiplied by n lines of virtual license plates, wherein a new n multiplied by n travel time probability logarithm value matrix is as follows;
Figure FDA0002859435990000051
s42: checking a matching result;
performing inspection, and if the part matched with the virtual license plate in the upstream and the downstream is reset to be unmatched data; if the re-matched travel time is not within the confidence interval, the portion is reset to unmatched data.
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