CN103610473B - Ultrasonic image adaptive positioning measuring method and device - Google Patents

Ultrasonic image adaptive positioning measuring method and device Download PDF

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CN103610473B
CN103610473B CN201310595815.4A CN201310595815A CN103610473B CN 103610473 B CN103610473 B CN 103610473B CN 201310595815 A CN201310595815 A CN 201310595815A CN 103610473 B CN103610473 B CN 103610473B
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analyzed
pixel
region
point
initial alignment
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CN103610473A (en
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王伟
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Hisense Group Co Ltd
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Hisense Group Co Ltd
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Abstract

An embodiment of the invention provides an ultrasonic image adaptive positioning measuring method and device and aims to modify user-entered positioning points and improve accuracy of measuring results. The method includes: determining initial positioning points entered on an ultrasonic image by a user and used for measurement, and using a preset-size area including the initial positioning points as an area under analysis; determining an outline of an object in the area under analysis; using points, closest to the initial positioning point, in the outline of the object as positioning points from the initial positioning points modified; repeating the steps until determining that the user finishes entering the initial positioning points, and measuring the ultrasonic image according to the modified positioning points.

Description

A kind of ultrasonic image adaptive location measuring method and device
Technical field
The present invention relates to ultrasonic imaging technique field, particularly relate to a kind of ultrasonic image adaptive location measuring method and device.
Background technology
At present, ultrasonic diagnosis, as one of large image technology of medical science four, has been widely used in clinical.With CT technology (electronic computer X-ray tomography technique, CT), angiography (Digital Subtraction Angiography, DSA), nuclear magnetic resonance (MagneticResonance Imaging, etc. MRI) other medical imaging device is compared, it has hurtless measure, the advantages such as relative low price, and there is its distinctive feature to the detection of human body soft tissue and the Hemodynamic of cardiovascular internal organs, thus become one of imaging device be most widely used in medical science.
Ultrasonic diagnosis after carrying out ultrasonic examination to Suspected Area and generate image, needs to measure further image usually.Be generally regioselective point on the image that shown at computer screen by doctor, the anchor point that computer is selected according to doctor again demonstrates measurement result.Such as, doctor selects diseased region two ends as anchor point, and Computer display goes out the length of diseased region.Particularly, doctor is by operating mouse, or trace ball, or carrys out the cursor on moving screen by touch manner and select the current position of cursor to be anchor point.Because different doctor is positioned with different operating habits for cursor, measurement result is caused to be subject to the impact of anthropic factor, thus not accurate enough.
In addition, in order to the convenience measured, cursor is generally cross and size is comparatively large, and less when even only having several millimeters at position to be measured, the size of cursor is excessive relative to position to be measured.In such cases, doctor cannot accurately positioning cursor, easily brings larger error to measurement.Further, relatively excessive cursor also can produce border, Suspected Area and block impact, also can have influence on cursor positioning, produce measurement error.
In a word, prior art by manual type determination anchor point, the inaccurate deviation that result in measurement result of anchor point.
Summary of the invention
Embodiments provide a kind of ultrasonic image adaptive location measuring method and device, in order to solve manual type determination anchor point, the offset issue of the inaccurate measurement result caused of anchor point.
The concrete technical scheme that the embodiment of the present invention provides is as follows:
First aspect, a kind of ultrasonic image adaptive location measuring method, comprising:
Determining the initial alignment point for measuring that user inputs on ultrasonic image, will the region of the default size of described initial alignment point be comprised as region to be analyzed;
Determine the body outline in described region to be analyzed;
By point nearest with described initial alignment point in described body outline, carry out revised anchor point as to described initial alignment point;
Repeat above step, until determine that user has terminated the input of initial alignment point, according to each revised anchor point, complete ultrasonic image and measure.
Preferably, will the region of the default size of described initial alignment point be comprised as region to be analyzed, comprising: by the rectangular area of the default size centered by described initial alignment point as region to be analyzed.
Preferably, determine the body outline in described region to be analyzed, comprising:
Obtain the information of each pixel of the ultrasonic image in region to be analyzed;
According to the information of each pixel of the ultrasonic image in described region to be analyzed, determine the pixel that body outline in described region to be analyzed is corresponding;
The pixel corresponding according to the body outline in described region to be analyzed, determines the Grid Track of the body outline in described region to be analyzed.
Preferably, according to the information of each pixel of the ultrasonic image in described region to be analyzed, determine to comprise the pixel that body outline in described region to be analyzed is corresponding:
Determine the pixel being greater than preset value in each pixel of the ultrasonic image in described region to be analyzed with the difference of the pixel value of neighbor pixel;
According to the described pixel being greater than preset value with the difference of the pixel value of neighbor pixel, determine the pixel that body outline in described region to be analyzed is corresponding.
Preferably, the pixel corresponding according to the body outline in described region to be analyzed, determine the Grid Track of the body outline in described region to be analyzed, comprising:
Determine the coordinate of each pixel that body outline in described region to be analyzed is corresponding; Or, from each pixel that described body outline is corresponding, choose the pixel of predetermined number, determine the coordinate of each pixel chosen;
The coordinate of each pixel described is defined as the Grid Track of the body outline in described region to be analyzed.
Preferably, by point nearest with described initial alignment point in described body outline, carry out revised anchor point as to described initial alignment point, comprising:
According to the Grid Track of described body outline, and the coordinate of described initial alignment point, calculate the distance between each point and described initial alignment point that described Grid Track is corresponding;
Determine in each point that Grid Track is corresponding and point that distance between described initial alignment point is minimum, this point is carried out revised anchor point as to described initial alignment point.
Preferably, by point nearest with described initial alignment point in described body outline, after carrying out revised anchor point to described initial alignment point, the method also comprises:
To the image output display of revised anchor point be comprised to user.
Second aspect, a kind of ultrasonic image adaptive location measuring device, comprising:
Anchor point determination unit, for determining the initial alignment point for measuring that user inputs on ultrasonic image, will comprise the region of the default size of described initial alignment point as region to be analyzed; Determine the body outline in described region to be analyzed; By point nearest with described initial alignment point in described body outline, carry out revised anchor point as to described initial alignment point; Repeat above step, until determine that user has terminated the input of initial alignment point;
Measuring unit, for according to each revised anchor point, completes ultrasonic image and measures.
Preferably, described anchor point determination unit be used for using comprise described initial alignment point the region of default size as region to be analyzed time, specifically for:
By the rectangular area of the default size centered by described initial alignment point as region to be analyzed.
Preferably, when described anchor point determination unit is for determining the body outline in described region to be analyzed, specifically for:
Obtain the information of each pixel of the ultrasonic image in region to be analyzed;
According to the information of each pixel of the ultrasonic image in described region to be analyzed, determine the pixel that body outline in described region to be analyzed is corresponding;
The pixel corresponding according to the body outline in described region to be analyzed, determines the Grid Track of the body outline in described region to be analyzed.
Preferably, described anchor point determination unit is used for according to the information of each pixel of the ultrasonic image in described region to be analyzed, when determining pixel corresponding to body outline in described region to be analyzed, specifically for:
Determine the pixel being greater than preset value in each pixel of the ultrasonic image in described region to be analyzed with the difference of the pixel value of neighbor pixel;
According to the described pixel being greater than preset value with the difference of the pixel value of neighbor pixel, determine the pixel that body outline in described region to be analyzed is corresponding.
Preferably, described anchor point determination unit is used for the pixel corresponding according to the body outline in described region to be analyzed, when determining the Grid Track of the body outline in described region to be analyzed, specifically for:
Determine the coordinate of each pixel that body outline in described region to be analyzed is corresponding; Or, from each pixel that described body outline is corresponding, choose the pixel of predetermined number, determine the coordinate of each pixel chosen;
The coordinate of each pixel described is defined as the Grid Track of the body outline in described region to be analyzed.
Preferably, described anchor point determination unit is used for point nearest with described initial alignment point in described body outline, as when carrying out revised anchor point to described initial alignment point, specifically for:
According to the Grid Track of described body outline, and the coordinate of described initial alignment point, calculate the distance between each point and described initial alignment point that described Grid Track is corresponding;
Determine in each point that Grid Track is corresponding and point that distance between described initial alignment point is minimum, this is carried out revised anchor point apart from minimum point as to described initial alignment point.
In the embodiment of the present invention, determine the region to be analyzed around initial alignment point, body outline is found out in region to be analyzed, by point nearest with initial alignment point in the correction to body outline of initial alignment point, finally obtain the borderline anchor point in Suspected Area, solve the inaccurate problem of anchor point manually determining that the mode of anchor point causes, improve the degree of accuracy of measurement result.
Accompanying drawing explanation
Fig. 1 is the schematic flow sheet of the ultrasonic image adaptive location measuring method that the embodiment of the present invention provides;
Fig. 2 is the schematic flow sheet that the embodiment of the present invention provides the body outline determined in region to be analyzed;
Fig. 3 is the structural representation of the ultrasonic image adaptive location measuring device that the embodiment of the present invention provides.
Detailed description of the invention
Below in conjunction with accompanying drawing, the embodiment of the present invention is described in detail.
See Fig. 1, a kind of ultrasonic image adaptive location measuring method that the embodiment of the present invention provides comprises the following steps:
S101: determine the initial alignment point for measuring that user inputs on ultrasonic image, will comprise the region of the default size of described initial alignment point as region to be analyzed.
The input of initial alignment point can be realized by plurality of devices, concrete, and user can carry out the cursor on moving screen by operating mouse or trace ball, cursor position is defined as initial alignment point; User also may directly touch screen to determine initial alignment point.
In this step only using the region of initial alignment point and neighbouring default size thereof as region to be analyzed, can the area size of analysis be controlled in rational scope, promote processing speed during subsequent correction anchor point.In specific implementation process, can by the rectangular area of the default size centered by initial alignment point as region to be analyzed, also can using the region containing initial alignment point of other shape as region to be analyzed.
S102: determine the body outline in described region to be analyzed.
When the image in region to be analyzed comprises the border of Suspected Area, just a body outline corresponding to this border can be found out by graphical analysis.When body outline cannot be found in region to be analyzed, illustrate that the initial alignment point deviation that user determines is larger, then inquire whether user re-enters initial alignment point, or whether inquiry user expands the scope in region to be analyzed, makes the region to be analyzed after expanded scope can comprise the border of Suspected Area.
See Fig. 2, determine the body outline in region to be analyzed, specifically comprise the following steps:
S201: the information obtaining each pixel of the ultrasonic image in region to be analyzed.
Step S101 will comprise the region of initial alignment point as region to be analyzed, be actually the coordinate determining initial alignment point, a coordinate range delimited as region to be analyzed at this nearby coordinates, visible, step S101 can not get the image information in region to be analyzed, the i.e. information of each pixel, and then the body outline in region to be analyzed cannot be analyzed.Step S201 achieves the image information obtaining region to be analyzed according to the coordinate range in region to be analyzed.
Concrete, obtain the image information in region to be analyzed according to the coordinate range in region to be analyzed, comprising: the information extracting each pixel of image from data base or internal memory; According to the corresponding relation of the coordinate of predetermined image and the pixel of image, and according to the coordinate range in region to be analyzed, determine the information of each pixel of the image in region to be analyzed.
The corresponding relation of the coordinate of image and the pixel of image is the pixel size according to image, size during image display, and the unit length of coordinate is determined.Such as, the pixel size of a ultrasonic image is 200 × 200, on screen according to original size with 20 cm x 20 centimetres display, the unit setting coordinate as centimetre, then the corresponding relation of the coordinate of image and the pixel of image is as follows: a coordinate is (a, the position of the pixel of some correspondence b) is (a × 10, b × 10).During concrete enforcement, if the position of the pixel calculated according to coordinate is decimal, then round numbers is to determine the position of concrete pixel.Otherwise, the corresponding relation of the pixel of image and the coordinate of image can also be determined: coordinate corresponding to pixel (c, d) can be designated as (c/10, d/10).
S202: according to the information of each pixel of the ultrasonic image in described region to be analyzed, determines the pixel that body outline in described region to be analyzed is corresponding.
Step S202 specifically comprises: determine the pixel being greater than preset value in each pixel of the ultrasonic image in described region to be analyzed with the difference of the pixel value of neighbor pixel, obtains two adjacent curves be made up of pixel; From two curves be made up of pixel obtained, choose one, be defined as the body outline in described region to be analyzed.
S203: the pixel corresponding according to the body outline in described region to be analyzed, determines the Grid Track of the body outline in described region to be analyzed.
Concrete, according to the corresponding relation of the pixel of predetermined image and the coordinate of image, by pixel corresponding for body outline, be converted into the Grid Track of body outline.A kind of possible embodiment is, obtains the coordinate of each pixel corresponding to body outline, then obtains the Grid Track of body outline according to the coordinate of each pixel.Another kind of possible embodiment is, the pixel of predetermined number is only chosen from the pixel that body outline is corresponding, such as choose a pixel every several pixels and obtain the coordinate of this pixel, and the Grid Track of coordinate determination body outline of pixel according to the predetermined number obtained; For the measurement of ultrasonoscopy, the coordinate of single pixel seems that precision is too high, and thus this embodiment simplifies the processing procedure of step S203, obtains less data, is convenient to follow-uply determine the revised position of initial alignment point quickly.
S103: by point nearest with described initial alignment point in described body outline, carry out revised anchor point as to described initial alignment point.
Concrete, each coordinate points in the Grid Track that calculating body outline is corresponding and the distance between initial alignment point, determine and the point that distance in the coordinate points that Grid Track is corresponding and between initial alignment point is minimum this point is carried out revised anchor point as to initial alignment point.
Due to the nearest point that revised anchor point is with initial alignment point on body outline, thus revised anchor point can meet the intention that user chooses initial alignment point to greatest extent.
In specific implementation process, for promoting Consumer's Experience, be convenient to user and adjust anchor point in time, can when being finished whenever step S103, by the position display of revised anchor point on image to user, user can select to cancel this anchor point according to correction result and re-enter initial alignment point or the direct next initial alignment point of input.
S104: judge whether user has terminated the input of initial alignment point, if so, perform step S105; No person, performs step S101.
Concrete, when receiving the instruction of the end initial alignment point input that user sends, determine that user has terminated the input of initial alignment point.
The number of the initial alignment point of each measurement input is relevant with measurement content, such as: when user finds range, generally only needs to choose two initial alignment points; When user carries out superonic spectrum analysis, usually need to choose plural initial alignment point.
S105: according to each revised anchor point, completes ultrasonic image and measures.
Concrete, according to each revised anchor point, complete measurement according to the measurement content of user's input.
See Fig. 3, a kind of ultrasonic image adaptive location measuring device that the embodiment of the present invention provides, comprising:
Anchor point determination unit 301, for determining the initial alignment point for measuring that user inputs on ultrasonic image, will comprise the region of the default size of described initial alignment point as region to be analyzed; Determine the body outline in described region to be analyzed; By point nearest with described initial alignment point in described body outline, carry out revised anchor point as to described initial alignment point; Repeat above step, until determine that user has terminated the input of initial alignment point;
Measuring unit 302, for according to each revised anchor point, completes ultrasonic image and measures.
Described anchor point determination unit 301 for the region of the default size using comprising described initial alignment point as region to be analyzed time, specifically for:
By the rectangular area of the default size centered by described initial alignment point as region to be analyzed.
When described anchor point determination unit 301 is for determining the body outline in described region to be analyzed, specifically for:
Obtain the information of each pixel of the ultrasonic image in region to be analyzed;
According to the information of each pixel of the ultrasonic image in described region to be analyzed, determine the pixel that body outline in described region to be analyzed is corresponding;
The pixel corresponding according to the body outline in described region to be analyzed, determines the Grid Track of the body outline in described region to be analyzed.
Described anchor point determination unit 301 for the information of each pixel according to the ultrasonic image in described region to be analyzed, when determining pixel corresponding to body outline in described region to be analyzed, specifically for:
Determine the pixel being greater than preset value in each pixel of the ultrasonic image in described region to be analyzed with the difference of the pixel value of neighbor pixel;
According to the described pixel being greater than preset value with the difference of the pixel value of neighbor pixel, determine the pixel that body outline in described region to be analyzed is corresponding.
Described anchor point determination unit 301 for the pixel corresponding according to the body outline in described region to be analyzed, when determining the Grid Track of the body outline in described region to be analyzed, specifically for:
Determine the coordinate of each pixel that body outline in described region to be analyzed is corresponding; Or, from each pixel that described body outline is corresponding, choose the pixel of predetermined number, determine the coordinate of each pixel chosen;
The coordinate of each pixel described is defined as the Grid Track of the body outline in described region to be analyzed.
Described anchor point determination unit 301 for by point nearest with described initial alignment point in described body outline, as when carrying out revised anchor point to described initial alignment point, specifically for:
According to the Grid Track of described body outline, and the coordinate of described initial alignment point, calculate the distance between each point and described initial alignment point that described Grid Track is corresponding;
Determine in each point that Grid Track is corresponding and point that distance between described initial alignment point is minimum, this is carried out revised anchor point apart from minimum point as to described initial alignment point.
The method that the embodiment of the present invention provides and device not only can be applicable to medical domain, can also be applied to industrial circle, and such as, when ultrasonic listening metal inside constructs, the method using the embodiment of the present invention to provide and device determine metal inside gap width.
In sum, embodiments provide a kind of ultrasonic image adaptive location measuring method and device, by user input the correction of initial alignment point to the point on the immediate body outline of initial alignment point, under the prerequisite meeting user view, improve reasonability and the accuracy of anchor point, make measurement result more accurate.
The present invention describes with reference to according to the flow chart of the method for the embodiment of the present invention, equipment (system) and computer program and/or block diagram.Should understand can by the combination of the flow process in each flow process in computer program instructions realization flow figure and/or block diagram and/or square frame and flow chart and/or block diagram and/or square frame.These computer program instructions can being provided to the processor of general purpose computer, special-purpose computer, Embedded Processor or other programmable data processing device to produce a machine, making the instruction performed by the processor of computer or other programmable data processing device produce device for realizing the function of specifying in flow chart flow process or multiple flow process and/or block diagram square frame or multiple square frame.
These computer program instructions also can be stored in can in the computer-readable memory that works in a specific way of vectoring computer or other programmable data processing device, the instruction making to be stored in this computer-readable memory produces the manufacture comprising command device, and this command device realizes the function of specifying in flow chart flow process or multiple flow process and/or block diagram square frame or multiple square frame.
These computer program instructions also can be loaded in computer or other programmable data processing device, make on computer or other programmable devices, to perform sequence of operations step to produce computer implemented process, thus the instruction performed on computer or other programmable devices is provided for the step realizing the function of specifying in flow chart flow process or multiple flow process and/or block diagram square frame or multiple square frame.
Although describe the preferred embodiments of the present invention, those skilled in the art once obtain the basic creative concept of cicada, then can make other change and amendment to these embodiments.So claims are intended to be interpreted as comprising preferred embodiment and falling into all changes and the amendment of the scope of the invention.
Obviously, those skilled in the art can carry out various change and modification to the present invention and not depart from the spirit and scope of the present invention.Like this, if these amendments of the present invention and modification belong within the scope of the claims in the present invention and equivalent technologies thereof, then the present invention is also intended to comprise these change and modification.

Claims (13)

1. a ultrasonic image adaptive location measuring method, is characterized in that, the method comprises:
Determining the initial alignment point for measuring that user inputs on ultrasonic image, will the region of the default size of described initial alignment point be comprised as region to be analyzed;
Determine the body outline in described region to be analyzed;
By point nearest with described initial alignment point in described body outline, carry out revised anchor point as to described initial alignment point;
Repeat above step, until determine that user has terminated the input of initial alignment point, according to each revised anchor point, complete ultrasonic image and measure.
2. ultrasonic image adaptive location measuring method as claimed in claim 1, is characterized in that, will comprise the region of the default size of described initial alignment point as region to be analyzed, comprising:
By the rectangular area of the default size centered by described initial alignment point as region to be analyzed.
3. ultrasonic image adaptive location measuring method as claimed in claim 1 or 2, is characterized in that, determine the body outline in described region to be analyzed, comprising:
Obtain the information of each pixel of the ultrasonic image in region to be analyzed;
According to the information of each pixel of the ultrasonic image in described region to be analyzed, determine the pixel that body outline in described region to be analyzed is corresponding;
The pixel corresponding according to the body outline in described region to be analyzed, determines the Grid Track of the body outline in described region to be analyzed.
4. ultrasonic image adaptive location measuring method as claimed in claim 3, is characterized in that, according to the information of each pixel of the ultrasonic image in described region to be analyzed, determines to comprise the pixel that body outline in described region to be analyzed is corresponding:
Determine the pixel being greater than preset value in each pixel of the ultrasonic image in described region to be analyzed with the difference of the pixel value of neighbor pixel, obtain two adjacent curves be made up of pixel;
From two curves be made up of pixel obtained, choose one, be defined as the body outline in described region to be analyzed.
5. ultrasonic image adaptive location measuring method as claimed in claim 3, is characterized in that the pixel corresponding according to the body outline in described region to be analyzed is determined the Grid Track of the body outline in described region to be analyzed, being comprised:
Determine the coordinate of each pixel that body outline in described region to be analyzed is corresponding; Or, from each pixel that described body outline is corresponding, choose the pixel of predetermined number, determine the coordinate of each pixel chosen;
The coordinate of each pixel described is defined as the Grid Track of the body outline in described region to be analyzed.
6. ultrasonic image adaptive location measuring method as claimed in claim 3, is characterized in that, by point nearest with described initial alignment point in described body outline, carry out revised anchor point, comprising as to described initial alignment point:
According to the Grid Track of described body outline, and the coordinate of described initial alignment point, calculate the distance between each point and described initial alignment point that described Grid Track is corresponding;
Determine in each point that Grid Track is corresponding and point that distance between described initial alignment point is minimum, this point is carried out revised anchor point as to described initial alignment point.
7. ultrasonic image adaptive location measuring method as claimed in claim 1, it is characterized in that, by point nearest with described initial alignment point in described body outline, after carrying out revised anchor point to described initial alignment point, the method also comprises:
To the image output display of revised anchor point be comprised to user.
8. a ultrasonic image adaptive location measuring device, is characterized in that, this device comprises:
Anchor point determination unit, for determining the initial alignment point for measuring that user inputs on ultrasonic image, will comprise the region of the default size of described initial alignment point as region to be analyzed; Determine the body outline in described region to be analyzed; By point nearest with described initial alignment point in described body outline, carry out revised anchor point as to described initial alignment point; Repeat above step, until determine that user has terminated the input of initial alignment point;
Measuring unit, for according to each revised anchor point, completes ultrasonic image and measures.
9. ultrasonic image adaptive location measuring device as claimed in claim 8, is characterized in that, when the region that described anchor point determination unit is used for the default size using comprising described initial alignment point is as region to be analyzed, specifically for:
By the rectangular area of the default size centered by described initial alignment point as region to be analyzed.
10. ultrasonic image adaptive location measuring device as claimed in claim 8 or 9, is characterized in that, when described anchor point determination unit is for determining the body outline in described region to be analyzed, specifically for:
Obtain the information of each pixel of the ultrasonic image in region to be analyzed;
According to the information of each pixel of the ultrasonic image in described region to be analyzed, determine the pixel that body outline in described region to be analyzed is corresponding;
The pixel corresponding according to the body outline in described region to be analyzed, determines the Grid Track of the body outline in described region to be analyzed.
11. ultrasonic image adaptive location measuring devices as claimed in claim 10, it is characterized in that, described anchor point determination unit is used for the information according to each pixel of the ultrasonic image in described region to be analyzed, when determining pixel corresponding to body outline in described region to be analyzed, specifically for:
Determine the pixel being greater than preset value in each pixel of the ultrasonic image in described region to be analyzed with the difference of the pixel value of neighbor pixel, obtain two adjacent curves be made up of pixel;
From two curves be made up of pixel obtained, choose one, be defined as the body outline in described region to be analyzed.
12. ultrasonic image adaptive location measuring devices as claimed in claim 10, it is characterized in that, described anchor point determination unit is used for the pixel corresponding according to the body outline in described region to be analyzed, when determining the Grid Track of the body outline in described region to be analyzed, specifically for:
Determine the coordinate of each pixel that body outline in described region to be analyzed is corresponding; Or, from each pixel that described body outline is corresponding, choose the pixel of predetermined number, determine the coordinate of each pixel chosen;
The coordinate of each pixel described is defined as the Grid Track of the body outline in described region to be analyzed.
13. ultrasonic image adaptive location measuring devices as claimed in claim 10, it is characterized in that, described anchor point determination unit is used for point nearest with described initial alignment point in described body outline, as when carrying out revised anchor point to described initial alignment point, specifically for:
According to the Grid Track of described body outline, and the coordinate of described initial alignment point, calculate the distance between each point and described initial alignment point that described Grid Track is corresponding;
Determine in each point that Grid Track is corresponding and point that distance between described initial alignment point is minimum, this is carried out revised anchor point apart from minimum point as to described initial alignment point.
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