CN103902100A - Speed characteristics based stroke partitioning method for intelligent freehand sketching - Google Patents

Speed characteristics based stroke partitioning method for intelligent freehand sketching Download PDF

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CN103902100A
CN103902100A CN201410128457.0A CN201410128457A CN103902100A CN 103902100 A CN103902100 A CN 103902100A CN 201410128457 A CN201410128457 A CN 201410128457A CN 103902100 A CN103902100 A CN 103902100A
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stroke
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CN103902100B (en
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王淑侠
王关峰
王守霞
唐涛
康文科
高满屯
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Wuxi Tongchun New Energy Technology Co Ltd
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Northwestern Polytechnical University
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Abstract

The invention provides a speed characteristics based stroke partitioning method for intelligent freehand sketching. The speed characteristics based stroke partitioning method includes extracting sampling points of input valid strokes, partitioning the valid strokes into normal-speed strokes and approximate-constant-speed strokes, judging speed partitioning points by three-line threshold values for the normal-speed strokes, smoothing and sharpening firstly for the approximate-constant-speed strokes, reducing the number of the sampling points and enhancing peak value characteristics of a speed curve, converting the approximate-constant-speed strokes into the normal-speed strokes, processing according to the normal-speed strokes, and finally converting. By the speed characteristics based stroke partitioning method, the problem that algorithm is sensitive to stroke noise can be effectively avoided, and compared with exiting Sezgin algorithm, the speed characteristics based stroke portioning method has better judgment accuracy.

Description

For the stroke segmentation method based on velocity characteristic of intelligent Freehandhand-drawing input
Technical field
The present invention relates to a kind of method of the Freehandhand-drawing figure stroke segmentation based on velocity characteristic, for intelligent Freehandhand-drawing input equipment, as the Freehandhand-drawing such as handwriting pad, smart mobile phone input equipment.
Background technology
Freehandhand-drawing figure be the mankind a kind of from however directly thinking and exchange way, the introducing of the Post-WIMP User Interface of new generation based on Freehandhand-drawing figure, has proposed new challenge to the mankind.More completely define based on Freehandhand-drawing figure human-computer interaction technology and be: user uses rough geometric configuration to the fuzzy a kind of graphical interaction input mode of approaching of its intention.The randomness of user's input makes to adopt Freehandhand-drawing drawing method can express fast creative thinking, but the ambiguity of Sketchy data causes Freehandhand-drawing figure and user's design idea to have certain deviation, and this has brought very large difficulty just to computer interpretation Freehandhand-drawing figure.The target of sketch recognition is to draw the minimum situation of constraint user to be issued to best identified efficiency and effect.At present, in the field by 2D sketch reconstruction 3D model, sketch explanation aspect generally all adopts the Freehandhand-drawing figure recognition methods based on basic line element.The method has solved the Uniqueness that figure is described, and comprises stroke segmentation, pattern classification, identification, matching, the step such as regular, and wherein stroke segmentation is the committed step that affects recognition effect.
Stroke segmentation technology has been passed through the existing a lot of achievement in research of long-term research, but mainly come from image processing field or develop thus, existing velocity characteristic extracts Sezgin algorithm and generally adopts the method based on mean value, using speed average 90% as threshold value, by the rate curve grouping lower than threshold value, in each group using velocity amplitude smallest point as velocity characteristic point.The method has solved the extraction problem of velocity characteristic to a certain extent, but still has many deficiencies: local noise may cause packet error, and threshold value is relatively fixing may cause algorithm to stroke noise-sensitive, and when plotting speed is more even, feature extraction was lost efficacy.
Summary of the invention
Technical scheme
Technical scheme of the present invention is:
A kind of described stroke segmentation method based on velocity characteristic for intelligent Freehandhand-drawing input, is characterized in that: the effective input stroke receiving is extracted to N sampled point, and sampled point comprises stroke starting point and stroke terminal, is not less than S the interval time of neighbouring sample point; Obtain respectively the instantaneous velocity of each sampled point, and calculate the mean value of the instantaneous velocity of all N sampled point
Figure BDA00004854840400000212
if the ratio of sampled point number and stroke length L is not more than ξ maxand
Figure BDA0000485484040000021
be greater than v max, be constant speed stroke by this effective input pen marking, otherwise be labeled as closely at the uniform velocity stroke;
For constant speed stroke, adopt following steps to determine speed cut-point:
Step 1: set up rate curve according to the instantaneous velocity of sampled point in coordinate system, described rate curve is connected each self-corresponding instantaneous velocity to obtain successively according to sampling order by each sampled point, and wherein the ordinate of coordinate system is instantaneous velocity value;
Step 2: instantaneous velocity is more than or equal to
Figure BDA0000485484040000022
sampled point be labeled as high speed point, calculate at a high speed point relatively deviation
Figure BDA0000485484040000024
wherein H is for putting at a high speed number, v ibe i the instantaneous velocity of point at a high speed; Instantaneous velocity is less than
Figure BDA0000485484040000025
sampled point be labeled as low speed point; Calculate low speed point relative deviation
Figure BDA0000485484040000027
wherein L is low speed point number, v jit is the instantaneous velocity of j low speed point;
Step 3: adopt v lisoline is divided into several lower than v by rate curve llow speed segment of curve and several higher than v lhigh speed segment of curve; For all high speed segment of curve, adopt following methods to judge successively according to sampling order:
For a certain high speed segment of curve, if this high speed segment of curve satisfies condition: this high speed segment of curve and v hisoline intersect, and/or this high speed segment of curve with
Figure BDA0000485484040000028
the intersection point number of isoline is greater than K, and the sampled point of getting instantaneous velocity minimum in the front side low speed segment of curve adjacent with this high speed segment of curve is speed cut-point; If this high speed segment of curve does not meet described condition, both sides, the front and back low speed segment of curve this high speed segment of curve being adjacent merges the low speed segment of curve that composition is new, and participates in the judgement to next high speed segment of curve with this new low speed segment of curve;
For stroke closely at the uniform velocity, adopt following steps to determine speed cut-point:
Step 4: according to formula
Figure BDA0000485484040000029
calculate the average weighted sampled point number T for stroke smothing filtering d, wherein n sfor control coefrficient, get 0.02 to 0.05;
Step 5: according to formula
Figure BDA00004854840400000210
Calculate the instantaneous velocity value v of stroke smothing filtering sharpening each correction sampled point after treatment p', wherein
Step 6: according to the instantaneous velocity v of each correction sampled point p' in coordinate system, set up erection rate curve, described erection rate curve is revised sampled point by each and according to sampling order, each self-corresponding instantaneous velocity is connected and is obtained successively; Calculate the mean value of the instantaneous velocity of all correction sampled points
Figure BDA0000485484040000031
Step 7: instantaneous velocity is more than or equal to
Figure BDA0000485484040000032
correction sampled point be labeled as and revise high speed point, calculate and revise at a high speed point relatively
Figure BDA0000485484040000033
deviation wherein H' puts at a high speed number, v for revising i' be i the instantaneous velocity of revising high speed point; Instantaneous velocity is less than
Figure BDA0000485484040000035
correction sampled point be labeled as and revise low speed point; Calculate and revise low speed point relatively
Figure BDA0000485484040000036
deviation
Figure BDA0000485484040000037
wherein L' is for revising low speed point number, v j' be j the instantaneous velocity of revising low speed point;
Step 8: adopt v l' isoline is that several are lower than v by erection rate curve segmentation l' correction low speed segment of curve and several higher than v l' correction high speed segment of curve; For all correction high speed segment of curve, adopt following methods to judge successively according to sampling order:
For a certain correction high speed segment of curve, if this correction high speed segment of curve satisfies condition: this correction high speed segment of curve and v h' isoline intersect, and/or this correction high speed segment of curve with
Figure BDA0000485484040000038
the intersection point number of isoline is greater than K, and the correction sampled point of getting instantaneous velocity minimum in the front side correction low speed segment of curve adjacent with this correction high speed segment of curve is erection rate cut-point; If this correction high speed segment of curve does not meet described condition, the both sides, front and back that this correction high speed segment of curve are adjacent are revised low speed segment of curve and are merged the correction low speed segment of curve that composition is new, and participate in next to revise with this new correction low speed segment of curve the judgement of high speed segment of curve;
Label p by erection rate cut-point obtains in original sample point, corresponding with erection rate cut-point, [(p-1) (T between label area d-1)+1, (T d-1) p+1]; Get label interval [(p-1) (T d-1)+1, (T d-1) p+1] sampled point of instantaneous velocity minimum is speed cut-point in corresponding original sample point.
A kind of described stroke segmentation method based on velocity characteristic for intelligent Freehandhand-drawing input, is characterized in that: N is not less than 5.
A kind of described stroke segmentation method based on velocity characteristic for intelligent Freehandhand-drawing input, is characterized in that: S is 0.015s.
A kind of described stroke segmentation method based on velocity characteristic for intelligent Freehandhand-drawing input, is characterized in that: ξ maxvalue is not more than 0.2, v maxbe not less than 200mm/s.
A kind of described stroke segmentation method based on velocity characteristic for intelligent Freehandhand-drawing input, is characterized in that: K is not less than 3 integer.
Beneficial effect
The present invention is directed to the deficiency of existing velocity characteristic extracting method, stroke is divided into constant speed and two classes closely at the uniform velocity, provide for constant speed stroke the method that adopts speed average and upper lower deviation thereof to cut apart as three line threshold values, effectively avoided the problem of algorithm to stroke noise-sensitive; For render speed more at the uniform velocity stroke be translated into constant speed stroke by filtering-sharpening processing and process.
Accompanying drawing explanation
Fig. 1: rate curve schematic diagram;
Fig. 2: constant speed pentagram velocity characteristic extracts; (a) Sezgin algorithm, (b) method of the present invention;
Fig. 3: closely at the uniform velocity pentagram velocity characteristic extracts; (a) Sezgin algorithm, (b) method of the present invention;
Fig. 4: constant speed pentagram velocity characteristic extracts waveform comparison; (a) Sezgin algorithm, (b) method of the present invention;
Fig. 5: closely at the uniform velocity pentagram velocity characteristic extracts waveform comparison; (a) Sezgin algorithm, (b) method of the present invention;
Embodiment
Below in conjunction with specific embodiment, the present invention is described:
Embodiment: the velocity characteristic of Freehandhand-drawing pentagram figure extracts
In the present embodiment, adopt respectively constant speed and Freehandhand-drawing pentagram figure at the uniform velocity, to verify method of the present invention, contrast the Sezgin algorithm of prior art simultaneously.
The stroke segmentation method based on velocity characteristic for intelligent Freehandhand-drawing input in the present embodiment, the effective input stroke receiving is extracted to N sampled point, and N is not less than 5, and sampled point comprises stroke starting point and stroke terminal, be not less than S the interval time of neighbouring sample point, and S gets 0.015s; The track that the input stroke here refers to button---movement---forms in the process of loose key.Obtain respectively the instantaneous velocity of each sampled point, and calculate the mean value of the instantaneous velocity of all N sampled point
Figure BDA0000485484040000041
wherein stroke starting point and stroke terminal are as the head and the tail sampled point of sampled point sequence, and instantaneous velocity is 0; If the ratio of sampled point number and stroke length L is not more than ξ maxand
Figure BDA0000485484040000042
be greater than v max, be constant speed stroke by this effective input pen marking, otherwise be labeled as closely at the uniform velocity stroke; ξ maxvalue is not more than 0.2, v maxbe not less than 200mm/s; ξ in the present embodiment maxvalue 0.15, v maxget 400mm/s.
For constant speed stroke, adopt following steps to determine speed cut-point:
Step 1: set up rate curve according to the instantaneous velocity of sampled point in coordinate system, described rate curve is connected each self-corresponding instantaneous velocity to obtain successively according to sampling order by each sampled point, wherein the ordinate of coordinate system is instantaneous velocity value, as shown in Figure 1;
Step 2: instantaneous velocity is more than or equal to sampled point be labeled as high speed point, calculate at a high speed point relatively
Figure BDA0000485484040000052
deviation
Figure BDA0000485484040000053
wherein H is for putting at a high speed number, v ibe i the instantaneous velocity of point at a high speed; Instantaneous velocity is less than
Figure BDA0000485484040000054
sampled point be labeled as low speed point; Calculate low speed point relative
Figure BDA0000485484040000055
deviation
Figure BDA0000485484040000056
wherein L is low speed point number, v jit is the instantaneous velocity of j low speed point;
Step 3: adopt v lisoline is divided into several lower than v by rate curve llow speed segment of curve and several higher than v lhigh speed segment of curve; Its feature of such partitioning scheme is that head and the tail two segment of curve are low speed segment curve; Low speed segment curve and high regime curved intersection occur; In each segment of curve, at least comprise the velocity amplitude of a sampled point, as shown in Figure 1, in research in the past, researcher it has been generally acknowledged that in each low speed segment of curve should a velocity characteristic point, but find in experiment, in the time that user draws degree of freedom increase, in low speed segment of curve, may not there is not velocity characteristic point.So just low speed segment of curve has been carried out with v hwith
Figure BDA0000485484040000057
correction for benchmark: for all high speed segment of curve, adopt following methods to judge successively according to sampling order:
For a certain high speed segment of curve, if this high speed segment of curve satisfies condition: this high speed segment of curve and v hisoline intersect, and/or this high speed segment of curve with
Figure BDA0000485484040000058
the intersection point number of isoline is greater than K, and K is not less than 3 integer, and the sampled point of getting instantaneous velocity minimum in the front side low speed segment of curve adjacent with this high speed segment of curve is speed cut-point; If this high speed segment of curve does not meet described condition, both sides, the front and back low speed segment of curve this high speed segment of curve being adjacent merges the low speed segment of curve that composition is new, and participates in the judgement to next high speed segment of curve with this new low speed segment of curve.
The velocity characteristic that adopts this dividing method can well solve constant speed stroke extracts problem.As a comparison, the present embodiment has also adopted the Sezgin algorithm of prior art to cut apart for constant speed Freehandhand-drawing pentagram figure:
In the present embodiment, be 61 for the sampling number of constant speed Freehandhand-drawing pentagram figure, as shown in Figure 2, as shown in Figure 4, the key value of two kinds of methods is more as shown in table 1 for the rate curve of two kinds of methods for the speed cut-point of two kinds of methods:
Table 1: two kinds of key value comparisons that method is extracted
Figure BDA0000485484040000061
As seen from Figure 4, visible stroke of drawing for constant speed, the inventive method is on the basis of Sezgin algorithm, to have increased by three line threshold values to judge speed cut-point, thereby effectively avoid the mistake of the velocity characteristic causing due to noise to extract, in constant speed drafting situation, although the stroke segmentation time of the inventive method is a little more than Sezgin algorithm, but the accuracy of cutting apart for above-mentioned example the inventive method is 100%, and Segin algorithm cut apart accuracy not higher than 66.77%, therefore in the situation that accuracy obviously improves, have increased slightly and can receive the sliced time that constant speed is drawn stroke.
And for stroke closely at the uniform velocity, adopt following steps to determine speed cut-point:
Step 4: according to formula
Figure BDA0000485484040000062
calculate the average weighted sampled point number T for stroke smothing filtering d, wherein n sfor control coefrficient, get 0.02 to 0.05;
Step 5: according to formula
Figure BDA0000485484040000063
Calculate the instantaneous velocity value v of stroke smothing filtering sharpening each correction sampled point after treatment p', wherein
Figure BDA0000485484040000064
Step 6: according to the instantaneous velocity v of each correction sampled point p' in coordinate system, set up erection rate curve, described erection rate curve is revised sampled point by each and according to sampling order, each self-corresponding instantaneous velocity is connected and is obtained successively; Calculate the mean value of the instantaneous velocity of all correction sampled points
Figure BDA0000485484040000065
Step 7: instantaneous velocity is more than or equal to
Figure BDA0000485484040000066
correction sampled point be labeled as and revise high speed point, calculate and revise at a high speed point relatively
Figure BDA0000485484040000067
deviation
Figure BDA0000485484040000068
wherein H' puts at a high speed number, v for revising i' be i the instantaneous velocity of revising high speed point; Instantaneous velocity is less than
Figure BDA0000485484040000069
correction sampled point be labeled as and revise low speed point; Calculate and revise low speed point relatively
Figure BDA0000485484040000071
deviation wherein L' is for revising low speed point number, v j' be j the instantaneous velocity of revising low speed point;
Step 8: adopt v l' isoline is that several are lower than v by erection rate curve segmentation l' correction low speed segment of curve and several higher than v l' correction high speed segment of curve; For all correction high speed segment of curve, adopt following methods to judge successively according to sampling order:
For a certain correction high speed segment of curve, if this correction high speed segment of curve satisfies condition: this correction high speed segment of curve and v h' isoline intersect, and/or this correction high speed segment of curve with
Figure BDA0000485484040000073
the intersection point number of isoline is greater than K, and the correction sampled point of getting instantaneous velocity minimum in the front side correction low speed segment of curve adjacent with this correction high speed segment of curve is erection rate cut-point; If this correction high speed segment of curve does not meet described condition, the both sides, front and back that this correction high speed segment of curve are adjacent are revised low speed segment of curve and are merged the correction low speed segment of curve that composition is new, and participate in next to revise with this new correction low speed segment of curve the judgement of high speed segment of curve;
Label p by erection rate cut-point obtains in original sample point, corresponding with erection rate cut-point, [(p-1) (T between label area d-1)+1, (T d-1) p+1]; Get label interval [(p-1) (T d-1)+1, (T d-1) p+1] sampled point of instantaneous velocity minimum is speed cut-point in corresponding original sample point.
In fact, be exactly by filtering sharpening processing for the nearly at the uniform velocity disposal route of stroke, minimizing sampled point number also strengthens rate curve peak value feature, thus nearly at the uniform velocity stroke be converted into constant speed stroke, process again the process of finally changing according to the mode of above-mentioned constant speed stroke.
In the present embodiment, be 342 for the nearly at the uniform velocity sampling number of Freehandhand-drawing pentagram figure, as shown in Figure 3, as shown in Figure 5, the key value of two kinds of methods is more as shown in table 2 for the rate curve of two kinds of methods for the speed cut-point of two kinds of methods:
Table 2: two kinds of key value comparisons that method is extracted
As seen from Figure 3, in closely at the uniform velocity drafting situation, Sezgin algorithm complete failure, the Sezgin algorithm accuracy providing in table 2 is not higher than 11.1%, and the extraction of the inventive method is more accurate.As seen from Figure 5, visible for nearly stroke of at the uniform velocity drawing, first the inventive method has increased filtering sharpening processing on Sezgin algorithm basis, thereby has effectively reduced sampled point number and strengthened rate curve peak value feature, and this has been also embodied in table 2 in sampled point number after treatment.

Claims (5)

1. for the stroke segmentation method based on velocity characteristic of intelligent Freehandhand-drawing input, it is characterized in that: the effective input stroke receiving is extracted to N sampled point, and sampled point comprises stroke starting point and stroke terminal, is not less than S the interval time of neighbouring sample point; Obtain respectively the instantaneous velocity of each sampled point, and calculate the mean value of the instantaneous velocity of all N sampled point
Figure FDA0000485484030000017
if the ratio of sampled point number and stroke length L is not more than ξ maxand
Figure FDA0000485484030000018
be greater than v max, be constant speed stroke by this effective input pen marking, otherwise be labeled as closely at the uniform velocity stroke;
For constant speed stroke, adopt following steps to determine speed cut-point:
Step 1: set up rate curve according to the instantaneous velocity of sampled point in coordinate system, described rate curve is connected each self-corresponding instantaneous velocity to obtain successively according to sampling order by each sampled point, and wherein the ordinate of coordinate system is instantaneous velocity value;
Step 2: instantaneous velocity is more than or equal to
Figure FDA0000485484030000019
sampled point be labeled as high speed point, calculate at a high speed point relatively
Figure FDA0000485484030000011
deviation
Figure FDA0000485484030000012
wherein H is for putting at a high speed number, v ibe i the instantaneous velocity of point at a high speed; Instantaneous velocity is less than
Figure FDA0000485484030000013
sampled point be labeled as low speed point; Calculate low speed point relative
Figure FDA0000485484030000014
deviation
Figure FDA0000485484030000015
wherein L is low speed point number, v jit is the instantaneous velocity of j low speed point;
Step 3: adopt v lisoline is divided into several lower than v by rate curve llow speed segment of curve and several higher than v lhigh speed segment of curve; For all high speed segment of curve, adopt following methods to judge successively according to sampling order:
For a certain high speed segment of curve, if this high speed segment of curve satisfies condition: this high speed segment of curve and v hisoline intersect, and/or this high speed segment of curve with
Figure FDA00004854840300000110
the intersection point number of isoline is greater than K, and the sampled point of getting instantaneous velocity minimum in the front side low speed segment of curve adjacent with this high speed segment of curve is speed cut-point; If this high speed segment of curve does not meet described condition, both sides, the front and back low speed segment of curve this high speed segment of curve being adjacent merges the low speed segment of curve that composition is new, and participates in the judgement to next high speed segment of curve with this new low speed segment of curve;
For stroke closely at the uniform velocity, adopt following steps to determine speed cut-point:
Step 4: according to formula
Figure FDA0000485484030000016
calculate the average weighted sampled point number T for stroke smothing filtering d, wherein n sfor control coefrficient, get 0.02 to 0.05;
Step 5: according to formula
Figure FDA0000485484030000021
Calculate the instantaneous velocity value v of stroke smothing filtering sharpening each correction sampled point after treatment p', wherein
Figure FDA0000485484030000022
Step 6: according to the instantaneous velocity v of each correction sampled point p' in coordinate system, set up erection rate curve, described erection rate curve is revised sampled point by each and according to sampling order, each self-corresponding instantaneous velocity is connected and is obtained successively; Calculate the mean value of the instantaneous velocity of all correction sampled points
Figure FDA0000485484030000023
Step 7: instantaneous velocity is more than or equal to
Figure FDA00004854840300000210
correction sampled point be labeled as and revise high speed point, calculate and revise at a high speed point relatively
Figure FDA0000485484030000024
deviation
Figure FDA0000485484030000025
wherein H' puts at a high speed number, v for revising i' be i the instantaneous velocity of revising high speed point; Instantaneous velocity is less than
Figure FDA0000485484030000026
correction sampled point be labeled as and revise low speed point; Calculate and revise low speed point relatively
Figure FDA0000485484030000027
deviation
Figure FDA0000485484030000028
wherein L' is for revising low speed point number, v j' be j the instantaneous velocity of revising low speed point;
Step 8: adopt v l' isoline is that several are lower than v by erection rate curve segmentation l' correction low speed segment of curve and several higher than v l' correction high speed segment of curve; For all correction high speed segment of curve, adopt following methods to judge successively according to sampling order:
For a certain correction high speed segment of curve, if this correction high speed segment of curve satisfies condition: this correction high speed segment of curve and v h' isoline intersect, and/or this correction high speed segment of curve with the intersection point number of isoline is greater than K, and the correction sampled point of getting instantaneous velocity minimum in the front side correction low speed segment of curve adjacent with this correction high speed segment of curve is erection rate cut-point; If this correction high speed segment of curve does not meet described condition, the both sides, front and back that this correction high speed segment of curve are adjacent are revised low speed segment of curve and are merged the correction low speed segment of curve that composition is new, and participate in next to revise with this new correction low speed segment of curve the judgement of high speed segment of curve;
Label p by erection rate cut-point obtains in original sample point, corresponding with erection rate cut-point, [(p-1) (T between label area d-1)+1, (T d-1) p+1]; Get label interval [(p-1) (T d-1)+1, (T d-1) p+1] sampled point of instantaneous velocity minimum is speed cut-point in corresponding original sample point.
2. a kind of stroke segmentation method based on velocity characteristic for intelligent Freehandhand-drawing input according to claim 1, is characterized in that: N is not less than 5.
3. a kind of stroke segmentation method based on velocity characteristic for intelligent Freehandhand-drawing input according to claim 2, is characterized in that: S is 0.015s.
4. a kind of stroke segmentation method based on velocity characteristic for intelligent Freehandhand-drawing input according to claim 3, is characterized in that: ξ maxvalue is not more than 0.2, v maxbe not less than 200mm/s.
5. according to a kind of stroke segmentation method based on velocity characteristic for intelligent Freehandhand-drawing input described in claim 3 or 4, it is characterized in that: K is not less than 3 integer.
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CN105046287B (en) * 2015-06-29 2018-05-18 西北工业大学 A kind of online more strokes repeat the cluster and approximating method of skeletonizing
CN105957046A (en) * 2016-05-04 2016-09-21 西北工业大学 End point fusion method for intelligent sketching inputting planar three-dimensional projection drawings
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CN110569800B (en) * 2019-09-10 2022-04-12 武汉大学 Detection method of handwriting signal
CN111736745A (en) * 2020-07-27 2020-10-02 深圳市千分一智能技术有限公司 Stroke erasing method, device, equipment and readable storage medium
CN113487553A (en) * 2021-06-30 2021-10-08 武汉楚精灵医疗科技有限公司 Intestinal tract endoscope withdrawal speed smoothing method

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