CN109145857A - A method of extracting curve data from curvilinear figure - Google Patents
A method of extracting curve data from curvilinear figure Download PDFInfo
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Abstract
The method that the invention discloses a kind of to extract curve data from curvilinear figure.Method includes the following steps: (1) carries out rasterizing label to the 2 dimensional region where curvilinear figure with limited pixel;(2) along long or wide direction, the pixel set continuously tinted is marked by column or line by line;(3) according to the grey value profile feature at edge and adjacent pixel, the boundary position for pixel set of continuously tinting is calculated;(4) curved section described in above-mentioned set or node coordinate are accurately calculated;(5) according to the connectivity between adjacent pixel set of tinting, the coordinate and its chain relationship of above-mentioned curved section set or node set are sequentially output.
Description
Technical field
The present invention relates to computer graphical processings and identification field, and curve is extracted from curvilinear figure more particularly to one kind
The method of data.
Background technique
Automatic identification and curve data is extracted from curvilinear figure, in computer graphical processing and identification field, especially
In terms of scientific algorithm and data processing, there is very important application value.
Currently, the application software system of related fields converts curvilinear figure mainly by the way of manually picking up
For digitized two-dimensional curve coordinate.That is: in a two-dimensional coordinate space predetermined, by manually being walked along curvilinear figure
To marking point by point and pick up each node coordinate value.Accuracy and experience, the software systems feedback of operator of hand labeled point etc.
It is closely related.Therefore, the technological deficiency (especially numerical error) of this labeling method is obvious.
The difficult point for carrying out automatic identification to curvilinear figure is the following aspects.(1) connectivity of curve itself may
It is very complicated.For single line segment, usually it is easier to identify.But for the curve graph that there is complicated connection relationship and topological attribute
For shape, how accurately to determine the connection relationship or overlapping attributes between adjacent segments, be graphics process and automatic identification technology
Focus and difficult point.(2) it is mismatched between curve line width and figure rasterizing pixel, leads to the boundary to curved section wire length and line width
It surely is that comparison is fuzzy, thus is difficult to construct the automatic identifying method with universality and robust.
The present invention proposes a kind of from curve according to the characteristic distributions and connectivity principle of rasterizing curvilinear figure gray value
The method that curve data is extracted in figure, can significantly improve the efficiency and numerical precision of curvilinear figure data conversion.This method
The automatic identification and number of three-dimensional curve or curved surface into three-view diagram (or multiple view of equal value) can be expanded without loss of generality
According to reconstruction.
Summary of the invention
The present invention is intended to provide a kind of method that the curve data is extracted from curvilinear figure, to avoid artificial crawl curve
The operation error or numerical resolution error of node.
The method disclosed by the invention that curve data is extracted from curvilinear figure, comprising the following steps:
(1) rasterizing label is carried out to the 2 dimensional region where curvilinear figure with limited pixel;
(2) along length (X) or wide direction (Y), the pixel set continuously tinted is marked by column or line by line;
(3) according to the grey value profile feature at edge and adjacent pixel, the boundary position for pixel set of continuously tinting is calculated;
(4) curved section described in above-mentioned set or node coordinate are accurately calculated;
(5) according to the connectivity between adjacent pixel set of tinting, it is sequentially output the seat of above-mentioned curved section set or node set
Mark and its chain relationship.
Wherein, step (1) carries out rasterizing label to curvilinear figure, can be subdivided into the following steps:
(1a) according to the maximum magnitude of X-Y scheme, by specified pixel size (being about a magnitude with curve line width),
By the curvilinear figure rasterizing, remember that maximum pixel points of the X-Y scheme in length (X), wide direction (Y) are N and M respectively;
(1b) marks gray value f1(f1=0 ~ 255 of curvilinear figure in each pixel), RGB color figure can be according to R, G, B component
Method or weighted mean method are converted to grayscale image;
(1c) traverses above-mentioned pixel set, with maximum gradation value max { f1 } for mould, by all gray value normalizings for applying color pixel
Change, i.e. f2=0 ~ 1.
Above-mentioned steps (2) mark by column or line by line the pixel set continuously tinted along length (X) or wide direction (Y), can be thin
It is divided into the following steps:
(2a) remembers that ε is preset gray threshold.Start from first pixel (X1, Y1) of X-direction, determines its gray scale
Whether value is greater than ε;If more than ε, then first pixel queue X1_R1 { } that tints is logged into;
(2b) extracts above-mentioned pixel along the consecutive points of Y-direction, such as (X1, Y2), ibid, if its gray value is greater than ε, by it
Queue X1_R1 { } is charged to, is not otherwise charged to;
(2c) if (X1, Y2) gray value ε and X1_R1 { } non-empty, then X 1 arrange pixel set number of tinting add 1, be denoted as X1_
R2{};
(2d) repeats above-mentioned (2b) to (2c) step, traverses all pixels point that X 1 arranges, obtains the corresponding company of all line segments
It is continuous to tint pixel queue set { X1_Ri };
(2e) extracts the adjacent pixel X2 on the right side of X1, repeats above-mentioned (2a) to (2d) step, obtains what curve graph was arranged in X 2
It is all continuously to tint pixel queue set { X2_Rj };
(2f) traverses queue { X2_Rj }, marks its link relation between queue { X1_Ri }, such as: to pixel queue of tinting
X2_Rj is marked on the left of X2_Rj if pixel set of tinting { X1_Yk } adjacent on the left of it belongs to collection of queues { X1_Rm }
With collection of queues { X1_Rm } connection;
(2g) repeats above-mentioned (2a) to (2f) step, traverses all pixels point of X-direction, obtains the corresponding all companies of curve graph
It is continuous to tint pixel queue set { Xi_Rj }, and from left to right, mark adjacent two column to apply the link relation between color pixel.
Above-mentioned steps (3) calculate pixel set of continuously tinting according to the grey value profile feature at edge and adjacent pixel
Boundary position can be subdivided into the following steps:
(3a) takes queue X1_R1 if collection of queues { X1_Rj } non-empty, successively remembers two lower boundary point and two coboundaries
Point P (- 2), P (- 1), P (1), P (2), and remember that initial value is 0;
(3b) takes first pixel (X1, Yj) in queue X1_R1, if its normalized gray value f (j) > 1- ε, the queue
The coordinate value of lower boundary point P (- 1) is (/ 2, (j-1/2));
(3c) if element (X1, Yj) gray value f (j)<1- ε, and gray value f (j+1)>1- of its adjacent pixel (X1, Yj+1)
ε, then the coordinate value of lower boundary point P (- 2) is (/ 2, (j-f (j)/2)), the coordinate value of lower boundary point P (- 1) be (/
2, (j+1/2));
(3d) if element (X1, Yj) gray value f (j) < 1- ε, and 0 < f of gray value (j+1) of its adjacent pixel (X1, Yj+1) <
1- ε then continues to search the adjacent pixel set { (X1, Yk) } in queue X1_R1, until first gray value meets condition f
(k) > 1- ε remembers that the coordinate value of P (- 1) is (/ 2, (k-1/2)), the coordinate value of P (- 2) is (/ 2, (k-1-f at this time
(k-1)/2));Otherwise, remember that the coordinate value of P (- 2) is (/ 2, (j-1/2)), P (- 1) is still initial value 0;
(3e) if element (X1, Yj) gray value f (j) < 1- ε, and its adjacent element (X1, Yj+1) is in queue X1_R1, then its
The coordinate value of lower boundary point P (- 2) is (/ 2, (j-1/2));
(3f) similarly, takes the coboundary pixel (X1, Yj) and its adjacent element (X1, Yj-1) of queue X1_R1, calculates its coboundary
The coordinate value of point P (1), P (2);
(3g) traverses collection of queues { X1_Rj }, repeats above-mentioned (3a) to (3f) step;
(3h) traverses collection of queues { Xi_Rj }, repeats above-mentioned (3a) to (3g) step.
Above-mentioned steps (4): accurately calculating curved section described in above-mentioned set or node coordinate, can be the following steps:
(4a) takes queue X1_R1 if collection of queues { X1_Rj } non-empty, and the upper and lower boundary point in gray-scale pixels area is followed successively by P
(- 2), P (- 1), P (1), P (2) remember that the quasi- upper and lower boundary point of segment data extracted is Q1, Q2;
(4b) is if the coordinate that P (- 2), P (- 1), P (1), P (2) are all larger than 0, Q1 is P (- 2) and P (- 1) adding based on gray value
Weight average value, the coordinate of Q2 are the weighted average of P (1) and P (2) based on gray value;
(4c) if one and only one in P (- 1) and P (1) for the coordinate value of 0, Q1 and Q2 be respectively P (- 2), P (2) with it is non-zero
Coordinate points P (- 1) or the weighted average of P (1) based on gray value;
(4d) is if it is same point that P (- 1) and P (1), which are all 0, Q1 and Q2, and is equal to the weighting of P (- 2) and P (2) based on gray value
Average value;
(4e) if | Q1-Q2 | <, enable g=(Q1+Q2)/2, Q1=Q2=g;
(4f) traverses { X1_Rj }, obtains the upper and lower boundary point coordinate that curve graph arranges all line segments in X 1;
(4g) traverses collection of queues { Xi_Rj }, obtains the line segment boundary point coordinate that curve graph marks in each column pixel.
Above-mentioned steps (5): according to the connectivity between adjacent pixel set of tinting, be sequentially output above-mentioned curved section set or
The coordinate and its chain relationship of node set, can be subdivided into the following steps:
(5a) takes its 1st element (queue) X1_R1 if collection of queues of tinting { Xi_Rj } non-empty, remembers the 1st article of line segment L1,
Endpoint is the upper and lower boundary point Q1 and Q2 of X1_R1;
(5b) is denoted as X0_R0 if the adjacent queue not empty of tinting in the left side of X1_R1, and remember X0_R0 upper and lower boundary point be Q0_1,
Q0_2;Calculate Q1, Q2 and Q0_1, the distance between Q0_2 value, it may be assumed that d1=| Q1-Q0_1 |, d2=| Q1-Q0_2 |, d3=| Q2-Q0_
1|,d4=|Q2-Q0_2|;
(5c) constructs the chain relationship on the left of line segment L1 according to most short communication path, such as d1=min { d1, d2, d3, d4 }, then will
Q0_1 is embedded in the left side connection chained list of Q1;
(5d) similarly, if the adjacent queue not empty of tinting in the right side of X1_R1, repeats (5b) to (5c), establishes the right side chain type of L1
Relationship;
(5e) traverses { Xi_Rj }, establishes the chain relationship (chained list) between all curved sections { Lk } each node, and exported.
Detailed description of the invention
Fig. 1 is a kind of flow chart for the method that curve data is extracted from curvilinear figure of the present invention.
Specific embodiment
With reference to the accompanying drawing, a specific embodiment of the invention is elaborated.Fig. 1 gives of the invention a kind of from curve graph
The flow chart of the method for curve data is extracted in shape, comprising the following steps:
Step 1: rasterizing label is carried out to the 2 dimensional region where curve graph with limited pixel;
Step 2: along length (X) or wide direction (Y), marking by column or line by line the pixel set continuously tinted;
Step 3: according to the grey value profile feature at edge and adjacent pixel, calculating the boundary position for pixel set of continuously tinting;
Step 4: accurately calculating curved section described in above-mentioned set or node coordinate;
Step 5: according to the connectivity between adjacent pixel set of tinting, being sequentially output above-mentioned curved section set or node set
The accurate mathematical description of coordinate and its chain relationship namely the curvilinear figure in infinitely subdivision pixel space.
Above-mentioned steps 1 carry out rasterizing label to the 2 dimensional region where curvilinear figure, it is intended to limited pixel to number
The curvilinear figure of change carries out discretization, and valid pixel space occupied by curve is marked using figure gray value.The step
Operating process can be subdivided into the following steps:
Step 101: (being about an amount with curve line width by specified pixel size according to the maximum magnitude of X-Y scheme
Grade), by the curvilinear figure rasterizing, remember that maximum pixel points of the X-Y scheme in length (X), wide direction (Y) are N and M respectively;
Step 102: gray value f1(f1=0 ~ 255 of label curvilinear figure in each pixel), RGB color figure can be according to R, G, B
Component method or weighted mean method are converted to grayscale image;
Step 103: traversing above-mentioned pixel set, with maximum gradation value max { f1 } for mould, all gray values for applying color pixel are returned
One changes, i.e. f2=0 ~ 1.
The pixel size and curvilinear figure line width of above-mentioned rasterizing are about a magnitude.Therefore, step 2, along length (X) or
Wide direction (Y), marks by column or line by line the pixel set continuously tinted, can be with accurate recording curvilinear figure in current column or row
On line-segment sets or point set.The operating process of step 2 can be subdivided into the following steps:
Step 201: note ε is preset gray threshold.Start from first pixel (X1, Y1) of X-direction, determines it
Whether gray value is greater than ε;If more than ε, then first pixel queue X1_R1 { } that tints is logged into;
Step 202: extract above-mentioned pixel along the consecutive points of Y-direction, such as (X1, Y2), and ibid, if its gray value is greater than ε,
It is logged into queue X1_R1 { }, is not otherwise charged to;
Step 203: if the gray value ε and X1_R1 { } non-empty of (X1, Y2), then the pixel set number of tinting that X 1 arranges adds 1, is denoted as
X1_R2{};
Step 204: repeating above-mentioned 201st step to the 203rd step, it is corresponding to obtain all line segments for all pixels point that traversal X 1 arranges
Continuously tint pixel queue set { X1_Ri };
Step 205: extracting the adjacent pixel X2 on the right side of X1, repeat above-mentioned 201st step to the 204th step, obtain curve graph in X 2
The all of column continuously tint pixel queue set { X2_Rj };
Step 206: traversal queue { X2_Rj } marks its link relation between queue { X1_Ri }, for example, to color pixel is applied
Queue X2_Rj marks X2_Rj if pixel set of tinting { X1_Yk } adjacent on the left of it belongs to collection of queues { X1_Rm }
Left side and collection of queues { X1_Rm } connection;
It captures 207: repeating above-mentioned 201st step to the 206th step, traverse all pixels point of X-direction, obtain the corresponding institute of curve graph
Have and continuously tint pixel queue set { Xi_Rj }, and from left to right, the connection for marking adjacent two column to apply between color pixel is closed
System.
Above-mentioned steps 3 are the principles based on graphic edge gray value linear change, to define graphic edge, adjacent with edge
The graphic attributes such as interior point (be directed to line segment), it may be assumed that according to the grey value profile feature at edge and adjacent pixel, accurately calculate continuous
The boundary position for pixel set of tinting.The operating process of the step can be subdivided into the following steps:
Step 301: if collection of queues { X1_Rj } non-empty, takes queue X1_R1, successively remembering on two lower boundary point and two
Boundary point P (- 2), P (- 1), P (1), P (2), and remember that initial value is 0;
Step 302: in queue X1_R1, first pixel (X1, Yj) is taken, it, should if its normalized gray value f (j) > 1- ε
The coordinate value of queue lower boundary point P (- 1) is (/ 2, (j-1/2));
Step 303: if the gray value f (j) of element (X1, Yj) < 1- ε, and the gray value f (j+1) of its adjacent pixel (X1, Yj+1)
> 1- ε, then the coordinate value for writing down boundary point P (- 2) is (/ 2, (j-f (j)/2)), and the coordinate value of lower boundary point P (- 1) is
(/ 2, (j+1/2));
Step 304: if the gray value f (j) of element (X1, Yj) < 1- ε, and 0 < f of gray value (j+ of its adjacent pixel (X1, Yj+1)
1) < 1- ε then continues to search the adjacent pixel set { (X1, Yk) } in queue X1_R1, until first gray value meets item
Part f (k) > 1- ε remembers that the coordinate value of P (- 1) is (/ 2, (k-1/2)), the coordinate value of P (- 2) is (/ 2, (k- at this time
1-f (k-1)/2));Otherwise, remember that the coordinate value of P (- 2) is (/ 2, (j-1/2)), P (- 1) is still initial value 0;
Step 305: if the gray value f (j) of element (X1, Yj) < 1- ε, and its adjacent element (X1, Yj+1) is in queue X1_R1,
Then the coordinate value of its lower boundary point P (- 2) is (/ 2, (j-1/2));
Step 306: similarly, taking the coboundary pixel (X1, Yj) and its adjacent element (X1, Yj-1) of queue X1_R1, calculate thereon
The coordinate value of boundary point P (1), P (2);
Step 307: traversal collection of queues { X1_Rj } repeats above-mentioned 301st step to the 306th step;
Step 308: traversal collection of queues { Xi_Rj } repeats above-mentioned 301st step to the 307th step.
Above-mentioned steps 4 accurately calculate the curved section endpoint or node coordinate marked by step 3 using Weighted Average Algorithm.
The operating process of the step can be subdivided into the following steps:
Step 401: if collection of queues { X1_Rj } non-empty, taking queue X1_R1, the upper and lower boundary point in gray-scale pixels area is successively
For P (- 2), P (- 1), P (1), P (2), remember that the quasi- upper and lower boundary point of segment data extracted is Q1, Q2;
Step 402: if P (- 2), P (- 1), P (1), P (2) are all larger than, the coordinate of 0, Q1 is P (- 2) and P (- 1) is based on gray value
Weighted average, the coordinate of Q2 is the weighted average of P (1) and P (2) based on gray value;
Step 403: if one and only one in P (- 1) and P (1) for the coordinate value of 0, Q1 and Q2 be respectively P (- 2), P (2) with
Non-zero coordinate points P (- 1) or the weighted average of P (1) based on gray value;
Step 404: if it is same point that P (- 1) and P (1), which are all 0, Q1 and Q2, and being equal to P (- 2) and P (2) based on gray value
Weighted average;
Step 405: if | Q1-Q2 | <, enable g=(Q1+Q2)/2, Q1=Q2=g;
Step 406: traversal { X1_Rj } obtains the upper and lower boundary point coordinate that curve graph arranges all line segments in X 1;
Step 407: traversal collection of queues { Xi_Rj } obtains the line segment boundary point coordinate that curve graph marks in each column pixel.
After determining curved section endpoint or node coordinate, above-mentioned steps 5, according to the connection between adjacent pixel set of tinting
Property, it is sequentially output the coordinate and its chain relationship of above-mentioned curved section set or node set.The concrete operations process of the step, can
It is subdivided into the following steps:
Step 501: if collection of queues of tinting { Xi_Rj } non-empty, taking its 1st element (queue) X1_R1, remember the 1st article of line segment
L1, endpoint are the upper and lower boundary point Q1 and Q2 of X1_R1;
Step 502: if the adjacent queue not empty of tinting in the left side of X1_R1, being denoted as X0_R0, and the upper and lower boundary point of note X0_R0 is
Q0_1, Q0_2 calculate Q1, Q2 and Q0_1, the distance between Q0_2 value, it may be assumed that d1=| Q1-Q0_1 |, d2=| Q1-Q0_2 |, d3=|
Q2-Q0_1|,d4=|Q2-Q0_2|;
Step 503: according to most short communication path, the chain relationship on the left of line segment L1 is constructed, such as d1=min { d1, d2, d3, d4 },
It then will be in the left side connection chained list of Q0_1 insertion Q1;
Step 504: similarly, if the adjacent queue not empty of tinting in the right side of X1_R1, repeats the 502nd step to the 503rd step, establish L1
Right side chain relationship;
Step 505: traversal { Xi_Rj } establishes the chain relationship (chained list) between all curved sections { Lk } each node, and give defeated
Out.
Claims (6)
1. a kind of method for extracting curve data from curvilinear figure, it is characterised in that:
(1) rasterizing label is carried out to the 2 dimensional region where curvilinear figure with limited pixel;
(2) along length (X) or wide direction (Y), the pixel set continuously tinted is marked by column or line by line;
(3) according to the grey value profile feature at edge and adjacent pixel, the boundary position for pixel set of continuously tinting is calculated;
(4) curved section described in above-mentioned set or node coordinate are accurately calculated;
(5) according to the connectivity between adjacent pixel set of tinting, it is sequentially output the seat of above-mentioned curved section set or node set
Mark and its chain relationship.
2. a kind of method for extracting curve data from curvilinear figure according to claim 1, which is characterized in that step
(1) " rasterizing label is carried out to the 2 dimensional region where curvilinear figure with limited pixel ", the following steps can be divided into:
(1a) according to the maximum magnitude of X-Y scheme, by specified pixel size (being about a magnitude with curve line width),
By the curvilinear figure rasterizing, remember that maximum pixel points of the X-Y scheme in length (X), wide direction (Y) are N and M respectively;
(1b) marks gray value f1(f1=0 ~ 255 of curvilinear figure in each pixel), RGB color figure can be according to R, G, B component
Method or weighted mean method are converted to grayscale image;
(1c) traverses above-mentioned pixel set, with maximum gradation value max { f1 } for mould, by all gray value normalizings for applying color pixel
Change, i.e. f2=0 ~ 1.
3. a kind of method for extracting curve data from curvilinear figure according to claim 2, which is characterized in that step
(2) it " along length (X) or wide direction (Y), marks by column or line by line the pixel set continuously tinted ", the following steps can be divided into:
(2a) remembers that ε is preset gray threshold, starts from first pixel (X1, Y1) of X-direction, determines its gray value
Whether it is greater than ε and is then logged into first pixel queue X1_R1 { } that tints if more than ε;
(2b) extracts above-mentioned pixel along the consecutive points of Y-direction, such as (X1, Y2), ibid, if its gray value is greater than ε, is remembered
Enqueue X1_R1 { }, is not otherwise charged to;
(2c) if (X1, Y2) gray value ε and X1_R1 { } non-empty, then X 1 arrange pixel set number of tinting add 1, be denoted as X1_R2
{};
(2d) repeats above-mentioned (2b) to (2c) step, traverses all pixels point that X 1 arranges, obtains the corresponding company of all line segments
It is continuous to tint pixel queue set { X1_Ri };
(2e) extracts the adjacent pixel X2 on the right side of X1, repeats above-mentioned (2a) to (2d) step, obtains what curve graph was arranged in X 2
It is all continuously to tint pixel queue set { X2_Rj };
(2f) traverses queue { X2_Rj }, its link relation between queue { X1_Ri } is marked, for example, to pixel queue of tinting
X2_Rj is marked on the left of X2_Rj if pixel set of tinting { X1_Yk } adjacent on the left of it belongs to collection of queues { X1_Rm }
With collection of queues { X1_Rm } connection;
(2g) repeats above-mentioned (2a) to (2f) step, traverses all pixels point of X-direction, obtains the corresponding all companies of curve graph
It is continuous to tint pixel queue set { Xi_Rj }, and from left to right, mark adjacent two column to apply the link relation between color pixel.
4. a kind of method for extracting curve data from curvilinear figure according to claim 3, which is characterized in that step
(3) it " according to the grey value profile feature at edge and adjacent pixel, calculates the boundary position for pixel set of continuously tinting ", can be divided into
The following steps:
(3a) takes queue X1_R1 if collection of queues { X1_Rj } non-empty, successively remembers two lower boundary point and two coboundaries
Point P (- 2), P (- 1), P (1), P (2), and remember that initial value is 0;
(3b) takes first pixel (X1, Yj) in queue X1_R1, if its normalized gray value f (j) > 1- ε, the queue
The coordinate value of lower boundary point P (- 1) is (/ 2, (j-1/2));
(3c) if element (X1, Yj) gray value f (j)<1- ε, and gray value f (j+1)>1- of its adjacent pixel (X1, Yj+1)
ε, then the coordinate value of lower boundary point P (- 2) is (/ 2, (j-f (j)/2)), the coordinate value of lower boundary point P (- 1) be (/
2, (j+1/2));
(3d) if element (X1, Yj) gray value f (j) < 1- ε, and 0 < f of gray value (j+1) of its adjacent pixel (X1, Yj+1) <
1- ε then continues to search the adjacent pixel set { (X1, Yk) } in queue X1_R1, until first gray value meets condition f
(k) > 1- ε, the coordinate value of P (- 1) is (/ 2, (k-1/2)) at this time, the coordinate value of P (- 2) is (/ 2, (k-1-f (k-
1)/2));Otherwise, the coordinate value of P (- 2) is (/ 2, (j-1/2)), P (- 1) is still initial value 0;
(3e) if element (X1, Yj) gray value f (j) < 1- ε, and its adjacent element (X1, Yj+1) is in queue X1_R1, then its
The coordinate value of lower boundary point P (- 2) is (/ 2, (j-1/2));
(3f) similarly, takes the coboundary pixel (X1, Yj) and its adjacent element (X1, Yj-1) of queue X1_R1, calculates its coboundary
The coordinate value of point P (1), P (2);
(3g) traverses collection of queues { X1_Rj }, repeats above-mentioned (3a) to (3f) step;
(3h) traverses collection of queues { Xi_Rj }, repeats above-mentioned (3a) to (3g) step.
5. a kind of method for extracting curve data from curvilinear figure according to claim 4, which is characterized in that step
(4) " curved section described in above-mentioned set or node coordinate are accurately calculated ", the following steps can be divided into:
(4a) takes queue X1_R1 if collection of queues { X1_Rj } non-empty, and the upper and lower boundary point in gray-scale pixels area is followed successively by P
(- 2), P (- 1), P (1), P (2) remember that the quasi- upper and lower boundary point of segment data extracted is Q1, Q2;
(4b) is if the coordinate that P (- 2), P (- 1), P (1), P (2) are all larger than 0, Q1 is P (- 2) and P (- 1) adding based on gray value
Weight average value, the coordinate of Q2 are the weighted average of P (1) and P (2) based on gray value;
(4c) if one and only one in P (- 1) and P (1) for the coordinate value of 0, Q1 and Q2 be respectively P (- 2), P (2) with it is non-zero
Coordinate points P (- 1) or the weighted average of P (1) based on gray value;
(4d) is if it is same point that P (- 1) and P (1), which are all 0, Q1 and Q2, and is equal to the weighting of P (- 2) and P (2) based on gray value
Average value;
(4e) if | Q1-Q2 | <, enable g=(Q1+Q2)/2, Q1=Q2=g;
(4f) traverses { X1_Rj }, obtains the upper and lower boundary point coordinate that curve graph arranges all line segments in X 1;
(4g) traverses collection of queues { Xi_Rj }, obtains the line segment boundary point coordinate that curve graph marks in each column pixel.
6. a kind of method for extracting curve data from curvilinear figure according to claim 5, which is characterized in that step
(5) " according to the connectivity between adjacent pixel set of tinting, be sequentially output above-mentioned curved section set or node set coordinate and
Its chain relationship " can be divided into the following steps:
(5a) takes its 1st element (queue) X1_R1 if collection of queues of tinting { Xi_Rj } non-empty, remembers the 1st article of line segment L1,
Endpoint is the upper and lower boundary point Q1 and Q2 of X1_R1;
(5b) is denoted as X0_R0 if the adjacent queue not empty of tinting in the left side of X1_R1, and remember X0_R0 upper and lower boundary point be Q0_1,
Q0_2 calculates Q1, Q2 and Q0_1, the distance between Q0_2 value, it may be assumed that d1=| Q1-Q0_1 |, d2=| Q1-Q0_2 |, d3=| Q2-Q0_
1|,d4=|Q2-Q0_2|;
(5c) constructs the chain relationship on the left of line segment L1 according to most short communication path, such as d1=min { d1, d2, d3, d4 }, then will
Q0_1 is embedded in the left side connection chained list of Q1;
(5d) similarly, if the adjacent queue not empty of tinting in the right side of X1_R1, repeats (5b) to (5c), establishes the right side chain type of L1
Relationship;
(5e) traverses { Xi_Rj }, establishes the chain relationship (chained list) between all curved sections { Lk } each node, and exported.
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