CN106932805A - It is a kind of to be suitable to the swift electron fence method of mobile device application - Google Patents
It is a kind of to be suitable to the swift electron fence method of mobile device application Download PDFInfo
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- CN106932805A CN106932805A CN201710040787.8A CN201710040787A CN106932805A CN 106932805 A CN106932805 A CN 106932805A CN 201710040787 A CN201710040787 A CN 201710040787A CN 106932805 A CN106932805 A CN 106932805A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S19/00—Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
- G01S19/38—Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system
- G01S19/39—Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system the satellite radio beacon positioning system transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
- G01S19/42—Determining position
- G01S19/50—Determining position whereby the position solution is constrained to lie upon a particular curve or surface, e.g. for locomotives on railway tracks
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- Radar, Positioning & Navigation (AREA)
- Remote Sensing (AREA)
- Computer Networks & Wireless Communication (AREA)
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- General Physics & Mathematics (AREA)
- Fencing (AREA)
Abstract
It is suitable to the swift electron fence method of mobile device application the invention discloses a kind of, including it is as follows:With zone boundary any point as starting point, according to counter clockwise direction pickup area border point coordinates, including longitude and latitude, latitude and longitude coordinates collection is constituted;Centered on to be confirmed position coordinates, rectangular coordinate system is set up;Continuous two coordinates are taken from new coordinate system coordinate set successively, cross product operation is carried out;If computing is 4, changing coordinates are located in defined area;If computing is 0, changing coordinates are located at outside defined area.The present invention solves the real time problems that mobile device calculates fence, and it has advantages below:(1)It is low to device hardware requirement, without high speed processor and big internal memory;(2)Borderline region can be arbitrary shape, only need pickup area border certain amount coordinate, high precision;(3)Algorithm only includes addition and subtraction and a small amount of multiplication, and amount of calculation is small, and real-time is good.
Description
Technical field
The present invention relates to satellite navigation positioning application field, more particularly to a kind of electronics applied in a mobile device encloses
Column method.
Background technology
In satellite positioning navigation application system, it is often necessary to determine whether position coordinates is located in defined area, such as go out
Hire a car whether be located in certain defined area, whether whether scenic spot explains device enters into the sight spot region of delimitation or crosses scenic spot side
Boundary etc., i.e. fence.Generally, rectangle fence or circle can only be accomplished due to being processed device energy power restriction on mobile device
Fence, accurate fence cannot be carried out to irregular area.
In computer application field, fence typically using ray method judge a little whether positioned at polygonal internal, it is necessary to
Multiple straight line cross-equations and multiple searching algorithm are calculated, the calculating time is more long and needs a large amount of internal memories, it is impossible to meets movement and sets
Standby application.Therefore, mobile device needs faster algorithm to realize fence, it is ensured that real-time.
One kind that the present invention is exactly proposed to solve above-mentioned problems of the prior art is suitable to mobile device should
Swift electron fence method.
The content of the invention
The technical problem to be solved in the present invention is directed to the deficiencies in the prior art, there is provided a kind of to be suitable to mobile device application
Swift electron fence method, can real-time, accurately determine current device position coordinate whether be and delimit area
In domain.
The technical scheme is that:
It is a kind of to be suitable to the swift electron fence method of mobile device application, it is characterised in that:It is comprised the following steps:
Step one:With zone boundary any point as starting point, according to counter clockwise direction pickup area border point coordinates, including
Longitude and latitude, constitute latitude and longitude coordinates collection, and the direction is corresponding with rectangular coordinate system quadrant order;
Step 2:Centered on to be confirmed position coordinates, set up in rectangular coordinate system, i.e. coordinates computed collection and arrive current a little
The difference of longitude and difference of latitude of point, wherein difference of longitude are boundary point x values in a coordinate system, and difference of latitude is boundary point in coordinate system
In y values, form new rectangular coordinate system coordinate set, meanwhile, if there is longitude distance and latitude distance all for 0 situation, directly
It is boundary point to connect determination current point, i.e. duplicate checking operation can confirm that point to be confirmed is boundary point, now output result, after not carrying out
Continuous step;
Step 3:Continuous two coordinates are taken from new coordinate system coordinate set successively, cross product operation is carried out, if cross product is 0, illustrated
Changing coordinates are located on zone boundary;If cross product is not 0, according to light cone QCD sum rule computer algebra and;
Step 4:If algebraical sum is 4, changing coordinates are located in defined area;If algebraical sum is 0, changing coordinates are located to be drawn
Determine outside region.
Wherein, the arc-length methods after the improvement need to carry out three below step completion:
Step one:Duplicate checking is operated, that is, search and whether there is in be confirmed identical point in the point of zone boundary, it is determined that point whether be
Boundary point;
Step 2:Cross product operation, that is, confirm point to be confirmed whether be located at continuous zone boundary point line on, it is determined that point whether
On polygon edge;
Step 3:Light cone QCD sum rule computing, it is determined that point is located at polygonal internal or outside.
Wherein, the arc-length methods step is as follows:
(1)The rectangular coordinate system centered on point to be confirmed is initially set up, point to be confirmed is origin, and polygonal region is by multiple spot
Be formed by connecting counterclockwise, zone boundary point be P [i]=(x[i],y[i]);
(2)Duplicate checking is operated, determine whether zone boundary point P [i] is origin, even there is boundary point P [i] is x [i]=0 and y
[i]=0, then origin is exactly zone boundary point, i.e., point to be confirmed is zone boundary point;
(3)Whether with origin point-blank cross product operation, confirm continuous zone boundary point, that is, calculate cross product (y [i+1] *
x[i]- y[i]*x[i+1]);If cross product is 0, put on polygon edge, i.e., point to be confirmed is located on zone boundary;
(4)Determine quadrant where all boundary points:Determine first all P [i]=(x[i],y[i])In a coordinate system where as
Limit, if P [i] is located in reference axis(X [i] or y [i] is 0), then 0 value coordinate is by the occasion for the treatment of;
(5)Then quadrant where all continuous coordinate points P and P (i+1) is analyzed, it is assumed that there are an algebraical sum, initial value is 0,
Quadrant where analyzing all continuous zone boundary points, there is following four situation:
In P in same quadrant, then algebraical sum is constant for a.P (i+1);
B.P (i+1) P next quadrant, then algebraical sum add 1;
C.P (i+1) P a upper quadrant, then algebraical sum subtract 1;
D.P (i+1) then checks cross product value in the diagonal quadrant of P;If cross product is less than 0, algebraical sum subtracts 2;If cross product is more than 0,
Algebraical sum adds 2.
(6)Result has situations below, and the position of point is judged according to algebraical sum, and even algebraical sum is 0, then changing coordinates are located at
Outside defined area;If algebraical sum is 4, changing coordinates are located in defined area.
The present invention solves the real time problems that mobile device calculates fence, and it has advantages below:
(1)It is low to device hardware requirement, without high speed processor and big internal memory;
(2)Borderline region can be arbitrary shape, only need pickup area border certain amount coordinate, high precision;
(3)Algorithm only includes addition and subtraction and a small amount of multiplication, and amount of calculation is small, and real-time is good.
Brief description of the drawings
Fig. 1 is suitable to the flow chart of the swift electron fence method of mobile device application for the embodiment of the present invention.
Fig. 2 is that the present embodiment arc-length methods calculate schematic diagram of the point point in outside of polygon.
Fig. 3 is that the present embodiment arc-length methods calculate schematic diagram of the point point on polygon.
Fig. 4 is that the present embodiment arc-length methods calculate schematic diagram of the point point in polygonal internal.
Fig. 5 is that the present embodiment improved arc-length method calculates schematic diagram of the point point in outside of polygon.
Fig. 6 is that the present embodiment improved arc-length method calculates schematic diagram of the point point in polygonal internal.
Specific embodiment
Below in conjunction with the accompanying drawings and implementation method the present invention is further detailed explanation, it will be appreciated that it is described below
Preferred embodiment be merely to illustrate and explain the present invention, be not intended to limit the present invention:
In computer graphics, arc-length methods are the highly effective algorithms for judging point in Polygon, and are time complexities
Optimal algorithm, has the advantages that high precision, amount of calculation are small, is incorporated into after the algorithm is improved in fence algorithm,
The operation shortcoming that fence Riming time of algorithm is long, precision is low on mobile device is solved well.
Fig. 1 is a kind of flow chart for being suitable to the swift electron fence method of mobile device application, is comprised the steps:
Step one:With zone boundary any point as starting point, according to counter clockwise direction pickup area border point coordinates, including
Longitude and latitude, constitute latitude and longitude coordinates collection;
Step 2:Centered on to be confirmed position coordinates, set up in rectangular coordinate system, i.e. coordinates computed collection and arrive current a little
The difference of longitude and difference of latitude of point, wherein difference of longitude are boundary point x values in a coordinate system, and difference of latitude is boundary point in coordinate system
In y values, form new rectangular coordinate system coordinate set, meanwhile, if there is longitude distance and latitude distance all for 0 situation, directly
It is boundary point to connect determination current point, i.e. duplicate checking operation can confirm that point to be confirmed is boundary point, now output result, after not carrying out
Continuous step;
Step 3:Continuous two coordinates are taken from new coordinate system coordinate set successively, cross product operation is carried out, if cross product is 0, illustrated
Changing coordinates are located on zone boundary;If cross product is not 0, according to light cone QCD sum rule computer algebra and;
Step 4:If algebraical sum is 4, changing coordinates are located in defined area;If algebraical sum is 0, changing coordinates are located to be drawn
Determine outside region.
In computer graphics, arc-length methods are used to judge whether coordinate is located in polygonal region that its content to be:It is polygon
Shape is oriented polygon, and along polygonal forward direction, the left side on side is polygonal inner side to general provision.Make by the center of circle of measured point
Whole directed edges are made radially projecting, and calculate the algebraical sum of arc length on wherein unit circle by unit circle to unit circle.When point is more
During the shape outside of side, after all directed edges are to unit circular projection, its algebraical sum is 0, as shown in Figure 2;When point is on polygon, institute
After having directed edge to unit circular projection, its algebraical sum is π, and as shown in Figure 3 when point is in polygonal internal, all directed edges are to list
After circle of position projection, its algebraical sum is 2 π, as shown in Figure 4
Although arc-length methods need to only do multiplication and addition and subtraction, amount of calculation is small, and time complexity is small, and the electronics for being adapted for mobile device encloses
Column algorithm, solves the computationally intensive shortcoming of ray method.But, arc-length methods are for some special circumstances existing defects, such as point
Do not applied to when being overlapped with boundary point, putting special circumstances first-class positioned at reference axis.And, arc-length methods need to calculate border continuity point and sit
Angle between punctuate, amount of calculation is still larger, to algorithm improvement after, its is perfect.
Arc-length methods after the improvement need to carry out three below step completion:
Step one:Duplicate checking is operated, that is, search and whether there is in be confirmed identical point in the point of zone boundary, it is determined that point whether be
Boundary point;
Step 2:Cross product operation.Confirm point to be confirmed whether be located at continuous zone boundary point line on, it is determined that point whether
On polygon edge;
Step 3:Light cone QCD sum rule computing, it is determined that point is located at polygonal internal or outside.
The arc-length methods reduce amount of calculation by improvement, and the method calculates fence in real time suitable for mobile device,
Step is as follows:
(1)The rectangular coordinate system centered on point to be confirmed is initially set up, point to be confirmed is origin, and polygonal region is by multiple spot
Be formed by connecting counterclockwise, zone boundary point be P [i]=(x[i],y[i]);
(2)Duplicate checking is operated, determine whether zone boundary point P [i] is origin, even there is boundary point P [i] is x [i]=0 and y
[i]=0, then origin is exactly zone boundary point, i.e., point to be confirmed is zone boundary point;
(3)Whether with origin point-blank cross product operation, confirm continuous zone boundary point, that is, calculate cross product (y [i+1] *
x[i]- y[i]*x[i+1]);If cross product is 0, put on polygon edge, i.e., point to be confirmed is located on zone boundary;
(4)Determine quadrant where all boundary points:Determine first all P [i]=(x[i],y[i])In a coordinate system where as
Limit, if P [i] is located in reference axis(X [i] or y [i] is 0), then 0 value coordinate is by the occasion for the treatment of;
(5)Then quadrant where all continuous coordinate points P and P (i+1) is analyzed, it is assumed that there are an algebraical sum, initial value is 0,
Quadrant where analyzing all continuous zone boundary points, there is following four situation:
In P in same quadrant, then algebraical sum is constant for a.P (i+1);
B.P (i+1) P next quadrant, then algebraical sum add 1;
C.P (i+1) P a upper quadrant, then algebraical sum subtract 1;
D.P (i+1) then checks cross product value in the diagonal quadrant of P;If cross product is less than 0, algebraical sum subtracts 2;If cross product is more than 0,
Algebraical sum adds 2.
(6)Result has situations below, and the position of point is judged according to algebraical sum, and even algebraical sum is 0, then changing coordinates are located at
Outside defined area, as shown in Figure 5;If algebraical sum is 4, changing coordinates are located in defined area, as shown in Figure 6.
By above-mentioned steps, the distribution relation a little with polygonal region is just can determine that, algorithm is simply efficient, be suitable to movement and set
Standby real-time application.
Above by description of listed embodiment, the basic ideas and basic principles of the present invention, but this hair are elaborated
Bright design concept is not limited thereto, the insubstantial modifications that all utilization present inventive concepts are made to the present invention, each falls within this
Within the protection domain of invention.
Claims (3)
- It is 1. a kind of to be suitable to the swift electron fence method of mobile device application, it is characterised in that:It is comprised the following steps:Step one:With zone boundary any point as starting point, according to counter clockwise direction pickup area border point coordinates, including warp Degree and latitude, constitute latitude and longitude coordinates collection;Step 2:Centered on to be confirmed position coordinates, set up in rectangular coordinate system, i.e. coordinates computed collection and arrive current a little The difference of longitude and difference of latitude of point, wherein difference of longitude are boundary point x values in a coordinate system, and difference of latitude is boundary point in coordinate system In y values, form new rectangular coordinate system coordinate set, meanwhile, if there is longitude distance and latitude distance all for 0 situation, directly It is boundary point to connect determination current point, i.e. duplicate checking operation can confirm that point to be confirmed is boundary point, now output result, after not carrying out Continuous step;Step 3:Continuous two coordinates are taken from new coordinate system coordinate set successively, cross product operation is carried out, if cross product is 0, illustrated Changing coordinates are located on zone boundary;If cross product is not 0, according to light cone QCD sum rule computer algebra and;Step 4:If algebraical sum is 4, changing coordinates are located in defined area;If algebraical sum is 0, changing coordinates are located to be drawn Determine outside region.
- It is 2. according to claim 1 a kind of to be suitable to the swift electron fence method of mobile device application, it is characterised in that:Institute Stating the arc-length methods after improving need to carry out three below step completion:Step one:Duplicate checking is operated, that is, search and whether there is in be confirmed identical point in the point of zone boundary, it is determined that point whether be Boundary point;Step 2:Cross product operation, that is, confirm point to be confirmed whether be located at continuous zone boundary point line on, it is determined that point whether On polygon edge;Step 3:Light cone QCD sum rule computing, it is determined that point is located at polygonal internal or outside.
- It is 3. according to claim 2 a kind of to be suitable to the swift electron fence method of mobile device application, it is characterised in that:Institute State arc-length methods step as follows:(1)The rectangular coordinate system centered on point to be confirmed is initially set up, point to be confirmed is origin, and polygonal region is by multiple spot Be formed by connecting counterclockwise, zone boundary point be P [i]=(x[i],y[i]);(2)Duplicate checking is operated, determine whether zone boundary point P [i] is origin, even there is boundary point P [i] is x [i]=0 and y [i]=0, then origin is exactly zone boundary point, i.e., point to be confirmed is zone boundary point;(3)Whether with origin point-blank cross product operation, confirm continuous zone boundary point, that is, calculate cross product (y [i+1] * x[i]- y[i]*x[i+1]);If cross product is 0, put on polygon edge, i.e., point to be confirmed is located on zone boundary;(4)Determine quadrant where all boundary points:Determine first all P [i]=(x[i],y[i])In a coordinate system where as Limit, if P [i] is located in reference axis(X [i] or y [i] is 0), then 0 value coordinate is by the occasion for the treatment of;(5)Then quadrant where all continuous coordinate points P and P (i+1) is analyzed, it is assumed that there are an algebraical sum, initial value is 0, Quadrant where analyzing all continuous zone boundary points, there is following four situation:In P in same quadrant, then algebraical sum is constant for P (i+1);P (i+1) P next quadrant, then algebraical sum add 1;P (i+1) P a upper quadrant, then algebraical sum subtract 1;P (i+1) then checks cross product value in the diagonal quadrant of P;If cross product is less than 0, algebraical sum subtracts 2;If cross product is more than 0, generation Count and Jia 2.(6)Result has situations below, and the position of point is judged according to algebraical sum, and even algebraical sum is 0, then changing coordinates are located at and delimit Outside region;If algebraical sum is 4, changing coordinates are located in defined area.
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