CN113568027A - Double-layer interpolation method and device, computer equipment and storage medium - Google Patents

Double-layer interpolation method and device, computer equipment and storage medium Download PDF

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CN113568027A
CN113568027A CN202110854200.3A CN202110854200A CN113568027A CN 113568027 A CN113568027 A CN 113568027A CN 202110854200 A CN202110854200 A CN 202110854200A CN 113568027 A CN113568027 A CN 113568027A
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ionization chamber
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CN113568027B (en
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陈立新
冯暴铨
陈荣锦
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Guangzhou Raydose Medical Technology Co ltd
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Abstract

The embodiment of the application belongs to the technical field of interpolation, and relates to a double-layer interpolation method. The application also provides a double-layer interpolation device, computer equipment and a storage medium. In addition, the present application is directed to blockchain technology where a user's complimentary double-layer ionization chamber can be stored in a blockchain. The method fully utilizes the distribution characteristics of the arcmap double-layer ionization chamber, applies information of another layer to assist single-layer interpolation, and overcomes the problem of large error of algorithms such as linear interpolation in a large gradient area by utilizing gradient information. And the calculation is relatively simple and convenient and fast.

Description

Double-layer interpolation method and device, computer equipment and storage medium
Technical Field
The present application relates to the field of interpolation technologies, and in particular, to a method and an apparatus for dual-layer interpolation, a computer device, and a storage medium.
Background
The ray detector is mainly used for collecting related information such as energy, distribution and state of high-energy rays, and is an important component in radiation measuring equipment. The cylinder matrix obtains the information of the three-dimensional space ray through the probes distributed on the cylindrical surface. However, the number of probes is quite limited and interpolation is required to obtain the dose distribution on the cylindrical surface.
The applicant finds that in the existing linear interpolation method, large errors tend to exist in places with large gradients, such as a portal boundary.
Disclosure of Invention
An object of the embodiments of the present application is to provide a method and an apparatus for dual-layer interpolation, a computer device, and a storage medium, so as to solve the problem of a large error in the conventional linear interpolation method.
In order to solve the above technical problem, an embodiment of the present application provides a double-layer interpolation method, which adopts the following technical solutions:
receiving an interpolation request carrying an original double-layer ionization chamber;
filling the boundary of the original double-layer ionization chamber to obtain a filled double-layer ionization chamber;
carrying out diagonal interpolation operation on a second filling ionization chamber of the filling double-layer ionization chambers according to a first filling ionization chamber of the filling double-layer ionization chambers in a diagonal direction to obtain a middle double-layer ionization chamber;
performing horizontal and vertical interpolation operation on the middle double-layer ionization chamber in the horizontal and vertical directions to obtain a result double-layer ionization chamber;
performing compensation elimination operation on the result double-layer ionization chamber to obtain a compensation elimination double-layer ionization chamber;
judging whether the compensation double-layer ionization chamber meets the preset resolution requirement or not;
if the compensation double-layer ionization chamber meets the resolution requirement, outputting the compensation double-layer ionization chamber;
if the compensation double-layer ionization chamber does not meet the resolution requirement, the filling operation, the diagonal interpolation operation, the horizontal and vertical interpolation operation and the compensation operation are repeatedly executed until the obtained compensation double-layer ionization chamber meets the resolution requirement, and the compensation double-layer ionization chamber is output.
In order to solve the above technical problem, an embodiment of the present application further provides a dual-layer interpolation apparatus, which adopts the following technical solutions:
the request receiving module is used for receiving an interpolation request carrying an original double-layer ionization chamber;
the filling module is used for filling the boundary of the original double-layer ionization chamber to obtain a filled double-layer ionization chamber;
the diagonal interpolation module is used for carrying out diagonal interpolation operation on a second filling ionization chamber of the filling double-layer ionization chambers according to a first filling ionization chamber of the filling double-layer ionization chambers in the diagonal direction to obtain a middle double-layer ionization chamber;
the horizontal-vertical interpolation module is used for performing horizontal-vertical interpolation operation on the middle double-layer ionization chamber in the horizontal-vertical direction to obtain a result double-layer ionization chamber;
the compensation elimination module is used for carrying out compensation elimination operation on the result double-layer ionization chamber to obtain a compensation elimination double-layer ionization chamber;
the resolution judging module is used for judging whether the compensation double-layer ionization chamber meets the preset resolution requirement or not;
the first output module is used for outputting the compensation double-layer ionization chamber if the compensation double-layer ionization chamber meets the resolution requirement;
and the second output module is used for repeatedly executing the filling operation, the diagonal interpolation operation, the horizontal and vertical interpolation operation and the compensation operation if the compensation double-layer ionization chamber does not meet the resolution requirement, and outputting the compensation double-layer ionization chamber until the obtained compensation double-layer ionization chamber meets the resolution requirement.
In order to solve the above technical problem, an embodiment of the present application further provides a computer device, which adopts the following technical solutions:
comprising a memory having computer readable instructions stored therein and a processor that when executed implements the steps of the dual layer interpolation method as described above.
In order to solve the above technical problem, an embodiment of the present application further provides a computer-readable storage medium, which adopts the following technical solutions:
the computer readable storage medium has stored thereon computer readable instructions which, when executed by a processor, implement the steps of the two-layer interpolation method as described above.
Compared with the prior art, the embodiment of the application mainly has the following beneficial effects:
the application provides a double-layer interpolation method, which comprises the following steps: receiving an interpolation request carrying an original double-layer ionization chamber; filling the boundary of the original double-layer ionization chamber to obtain a filled double-layer ionization chamber; carrying out diagonal interpolation operation on a second filling ionization chamber of the filling double-layer ionization chambers according to a first filling ionization chamber of the filling double-layer ionization chambers in a diagonal direction to obtain a middle double-layer ionization chamber; performing horizontal and vertical interpolation operation on the middle double-layer ionization chamber in the horizontal and vertical directions to obtain a result double-layer ionization chamber; performing compensation elimination operation on the result double-layer ionization chamber to obtain a compensation elimination double-layer ionization chamber; judging whether the compensation double-layer ionization chamber meets the preset resolution requirement or not; if the compensation double-layer ionization chamber meets the resolution requirement, outputting the compensation double-layer ionization chamber; if the compensation double-layer ionization chamber does not meet the resolution requirement, the filling operation, the diagonal interpolation operation, the horizontal and vertical interpolation operation and the compensation operation are repeatedly executed until the obtained compensation double-layer ionization chamber meets the resolution requirement, and the compensation double-layer ionization chamber is output. The method fully utilizes the distribution characteristics of the arcmap double-layer ionization chamber, applies information of another layer to assist single-layer interpolation, and overcomes the problem of large error of algorithms such as linear interpolation in a large gradient area by utilizing gradient information. And the calculation is relatively simple and convenient and fast.
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In order to more clearly illustrate the solution of the present application, the drawings needed for describing the embodiments of the present application will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present application, and that other drawings can be obtained by those skilled in the art without inventive effort.
Fig. 1 is a flowchart of an implementation of a two-layer interpolation method according to an embodiment of the present application;
FIG. 2 is a schematic view of a two-layer ionization chamber laid flat according to an embodiment of the present application;
FIG. 3 is a flowchart of one embodiment of step S102 of FIG. 1;
FIG. 4 is a flowchart of one embodiment of step S103 of FIG. 1;
FIG. 5 is a schematic diagram of diagonal interpolation provided in an embodiment of the present application;
FIG. 6 is a flowchart of one embodiment of step S104 of FIG. 1;
FIG. 7 is a schematic diagram of horizontal and vertical interpolation provided in an embodiment of the present application;
fig. 8 is a schematic structural diagram of a dual-layer interpolation apparatus according to an embodiment of the present application:
FIG. 9 is a schematic diagram of the structure of the shim module 120 of FIG. 8;
FIG. 10 is a schematic block diagram of one embodiment of a computer device according to the present application.
Detailed Description
Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs; the terminology used in the description of the application herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the application; the terms "including" and "having," and any variations thereof, in the description and claims of this application and the description of the above figures are intended to cover non-exclusive inclusions. The terms "first," "second," and the like in the description and claims of this application or in the above-described drawings are used for distinguishing between different objects and not for describing a particular order.
Reference herein to "an embodiment" means that a particular feature, structure, or characteristic described in connection with the embodiment can be included in at least one embodiment of the application. The appearances of the phrase in various places in the specification are not necessarily all referring to the same embodiment, nor are separate or alternative embodiments mutually exclusive of other embodiments. It is explicitly and implicitly understood by one skilled in the art that the embodiments described herein can be combined with other embodiments.
In order to make the technical solutions better understood by those skilled in the art, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the accompanying drawings.
As shown in fig. 1, a flowchart for implementing a two-layer interpolation method provided in an embodiment of the present application is shown, and for convenience of description, only the part related to the present application is shown.
The double-layer interpolation method comprises the following steps:
in step S101, an interpolation request carrying an original double-layer ionization chamber is received.
In the embodiment of the present application, the original double-layer ionization chamber refers to the original information of three-dimensional space rays obtained by probes distributed on the surface of an object to be measured, referring to a tiling schematic diagram of the double-layer ionization chamber shown in fig. 2, dark colors and light colors are ionization chambers of an inner ring and an outer ring respectively, it can be seen that the ionization chambers of the inner ring and the outer ring are distributed in a staggered manner, and the ionization chamber of the outer ring is approximately located at the center of a square lattice point formed by the ionization chambers of the inner ring (due to the limitation of hardware manufacturing process, in fact, the whole body has a 0.1mm offset from the center of the center, and this error is ignored here), and vice versa.
In the embodiment of the present application, since the number of probes is quite limited, an interpolation operation is required to obtain the dose distribution on the surface of the object to be measured.
In step S102, a filling operation is performed on the boundary of the original double-layer ionization chamber to obtain a filled double-layer ionization chamber.
In the embodiment of the application, the ionization chambers are distributed on the surface of the object to be measured, the periodicity must be considered during interpolation, and in addition, the interpolation needs to use the values of points within a certain range near the point to calculate the difference, so the boundary of the original double-layer ionization chamber needs to be filled.
In the embodiment of the application, the filling operation may be a periodic filling operation performed on the horizontal boundary of the double-layer ionization chamber according to periodic data to obtain a periodically filled double-layer ionization chamber; and repeatedly filling the vertical boundary of the periodically filled double-layer ionization chamber according to the boundary data to obtain the filled double-layer ionization chamber.
In step S103, a diagonal interpolation operation is performed on a second filling ionization chamber of the filling double-layer ionization chambers according to a first filling ionization chamber of the filling double-layer ionization chambers in a diagonal direction, so as to obtain an intermediate double-layer ionization chamber.
In the embodiments of the present application, the first filling ionization chamber and the second filling ionization chamber are opposite and refer to the inner layer and the outer layer of the double-layer ionization chamber, respectively, and the present application does not limit the first filling ionization chamber and the second filling ionization chamber, and when the first filling ionization chamber fills the ionization chamber for the outer layer, the second filling ionization chamber fills the ionization chamber for the inner layer, and vice versa.
In the embodiment of the present application, the diagonal interpolation operation may be to calculate a first diagonal difference of the first padded ionization chamber in a diagonal direction; calculating a second diagonal interpolation weight of a second filling ionization chamber according to the first diagonal difference; performing diagonal interpolation operation on the second filling ionization chamber according to the second diagonal interpolation weight; calculating a second diagonal difference of the second padded ionization chamber in a diagonal direction; calculating a first diagonal interpolation weight of the first padded ionization chamber according to the second diagonal difference; and carrying out diagonal interpolation operation on the second filling ionization chamber according to the first diagonal interpolation weight to obtain a middle double-layer ionization chamber.
In the embodiment of the present application, the diagonal interpolation operation is expressed as:
Figure BDA0003183510730000061
wherein, wPjRepresenting the weight coefficient of the point P to be interpolated and the known point j; p is a radical ofjRepresents the known reading at point j; e is a small amount for avoiding degree 0.
In step S104, a horizontal-vertical interpolation operation is performed on the middle double-layer ionization chamber in the horizontal-vertical direction, and a resultant double-layer ionization chamber is obtained.
In the embodiment of the present application, the horizontal-vertical interpolation operation may be to calculate a first horizontal-vertical difference of a first intermediate ionization chamber of the intermediate double-layer ionization chamber in the horizontal-vertical direction; calculating a first horizontal and vertical interpolation weight of the first intermediate ionization chamber according to the first horizontal and vertical difference;
performing horizontal and vertical interpolation operation on the first intermediate ionization chamber according to the first horizontal and vertical interpolation weight; calculating a second horizontal-vertical difference of a second intermediate ionization chamber of the intermediate double-layer ionization chamber in the horizontal-vertical direction; calculating a second horizontal and vertical interpolation weight of the second intermediate ionization chamber according to the second horizontal and vertical difference; and performing horizontal and vertical interpolation operation on the second intermediate ionization chamber according to the second horizontal and vertical interpolation weight to obtain a result double-layer ionization chamber.
In step S105, a compensation operation is performed on the resulting double-layer ionization chamber to obtain a compensated double-layer ionization chamber.
In the embodiment of the present application, after one round of interpolation is completed, the filled rows and columns are removed, and then the next round of interpolation is performed.
In step S106, it is determined whether the compensation double-layer ionization chamber meets the predetermined resolution requirement.
In the embodiment of the application, a user can adjust the preset resolution requirement according to the actual situation.
In step S107, if the complementary dual-layer ionization chamber satisfies the resolution requirement, the complementary dual-layer ionization chamber is output.
In step S108, if the compensated double-layer ionization chamber does not meet the resolution requirement, the filling operation, the diagonal interpolation operation, the horizontal and vertical interpolation operation, and the compensation operation are repeatedly performed until the obtained compensated double-layer ionization chamber meets the resolution requirement, and the compensated double-layer ionization chamber is output.
In the embodiment of the present application, the above method is inversely multiplexed to the inter-point gradient (difference), and to simplify the calculation, the difference value between adjacent points may be calculated first and called when needed. Avoiding repeated calculation and accelerating the speed.
In the embodiment of the application, the information of another layer of ionization chamber is successfully utilized to double the resolution of the original single layer. Subsequently, the above steps can be further repeated to improve the resolution of a single layer, but only a single layer interpolation is performed because the inner and outer grid points are not staggered any more, and q in step S103 is changed to p, or with reference to the second method of step S104, if the values of the centers of a, B1, I1 and M are set, | p is comparedA-pMI and
Figure BDA0003183510730000071
and selecting the small one of the samples, and averaging the small one.
In the embodiment of the application, the resolution is doubled every time the method is repeated, and the coordinates of the interpolation points are relatively fixed. The general interpolation method can calculate the value of any point, but the method cannot be realized. After the resolution reaches the requirement, the method can be replaced by a general interpolation method such as linear interpolation and the like, and flexible processing is realized.
In the embodiment of the present application, the present application is not limited to a cylindrical surface, and the present method can be used for reference to any interpolation problem with double-layer staggered distribution.
In an embodiment of the present application, a method for dual-layer interpolation is provided, including: receiving an interpolation request carrying an original double-layer ionization chamber; filling the boundary of the original double-layer ionization chamber to obtain a filled double-layer ionization chamber; carrying out diagonal interpolation operation on a second filling ionization chamber filling the double-layer ionization chamber according to a first filling ionization chamber filling the double-layer ionization chamber in a diagonal direction to obtain a middle double-layer ionization chamber; performing horizontal and vertical interpolation operation on the middle double-layer ionization chamber in the horizontal and vertical directions to obtain a result double-layer ionization chamber; performing compensation operation on the resulting double-layer ionization chamber to obtain a compensation double-layer ionization chamber; judging whether the compensation double-layer ionization chamber meets the preset resolution requirement or not; if the compensation double-layer ionization chamber meets the resolution requirement, outputting the compensation double-layer ionization chamber; if the compensation double-layer ionization chamber does not meet the resolution requirement, the filling operation, the diagonal interpolation operation, the horizontal and vertical interpolation operation and the compensation operation are repeatedly executed until the obtained compensation double-layer ionization chamber meets the resolution requirement, and the compensation double-layer ionization chamber is output. The method fully utilizes the distribution characteristics of the arcmap double-layer ionization chamber, applies information of another layer to assist single-layer interpolation, and overcomes the problem of large error of algorithms such as linear interpolation in a large gradient area by utilizing gradient information. And the calculation is relatively simple and convenient and fast.
Continuing to refer to fig. 3, a flowchart of one embodiment of step S102 of fig. 1 is shown, and for ease of illustration, only the portions relevant to the present application are shown.
In some optional implementation manners of this embodiment, step S102 specifically includes:
in step S301, a periodic filling operation is performed on the horizontal boundary of the double-layer ionization chamber according to the periodic data, so as to obtain a periodically filled double-layer ionization chamber.
In step S302, the vertical boundary of the periodically filled double-layer ionization chamber is repeatedly filled according to the boundary data, so as to obtain a filled double-layer ionization chamber.
In the embodiment of the present application, the points in the range of not less than the sum are filled up by using the periodic boundary condition for the left and right boundaries in fig. 2. If the range is 1, the left and right sides are filled in one column respectively.
In the embodiment of the present application, the upper and lower boundaries in fig. 2 are padded with points in a range greater than or equal to the padding rule, and the padding rule is a value of the copy boundary.
Continuing to refer to fig. 4, a flowchart of one embodiment of step S103 of fig. 1 is shown, and for ease of illustration, only the portions relevant to the present application are shown.
In some optional implementation manners of this embodiment, step S103 specifically includes:
in step S401, a first diagonal difference of the first padded ionization chamber in a diagonal direction is calculated.
In step S402, a second diagonal interpolation weight for a second padded ionization chamber is calculated from the first diagonal difference.
In step S403, a diagonal interpolation operation is performed on the second padded ionization chamber according to the second diagonal interpolation weight.
In step S404, a second diagonal difference of the second padded ionization chamber in a diagonal direction is calculated.
In step S405, a first diagonal interpolation weight for the first padded ionization chamber is calculated from the second diagonal difference.
In step S406, a diagonal interpolation operation is performed on the second filling ionization chamber according to the first diagonal interpolation weight, so as to obtain an intermediate double-layer ionization chamber.
In the embodiments of the present application, all interpolation algorithms, formally, can be written as:
Figure BDA0003183510730000081
whereinpi，pjIs the value at point i, j, wijIs a coefficient, so that the interpolation for a certain point i is a weighted average of the values of other known points j. In general, points closer to i are weighted more heavily. The range may be set such that the point outside the range is given a weight w of 0. For example, referring to the schematic diagram of diagonal interpolation shown in fig. 5, if all the dark dots are known, the dot P is interpolated, and if the range is set to 2, the weighted average of the values of 16 dots (all the dark dots in fig. 5) with the size of 4 × 4 near P is taken; if the range is taken as 1, E, F, J, K values of four points are taken for calculation. For simplicity, the following discusses the case of a range of 1, it being understood that the example of interpolation herein is only for ease of understanding and is not intended to limit the present application.
In the embodiment of the application, the center position of the square point of the inner ring is interpolated by means of the information of the ionization chamber of the outer ring. Now to interpolate point P, as in fig. 5, weights for four points need to be determined E, F, J, K. To overcome the problem of boundary ambiguity, the general idea is that the place with small gradient has a large weight and the place with large gradient has a small weight. The outer loop point P and surrounding points (the light colored points in fig. 5) whose position readings are known can be used to approximate the gradient at the inner loop point P. In the present invention, we use weights in the form of:
Figure BDA0003183510730000091
Figure BDA0003183510730000092
Figure BDA0003183510730000093
Figure BDA0003183510730000094
where q is the value of a point on the outer ring and e is a small quantity to avoid degree 0, 10 may be taken-10. After weighting, the value of point P can be expressed as:
Figure BDA0003183510730000095
where e is a small amount to avoid 0. The denominator is to normalize the weights.
Continuing to refer to fig. 6, a flowchart of one embodiment of step S104 of fig. 1 is shown, and for ease of illustration, only the portions relevant to the present application are shown.
In some optional implementations of this embodiment, step S104 specifically includes:
in step S601, a first lateral-to-vertical difference in the lateral-to-vertical direction of a first intermediate ionization chamber of the intermediate double-layer ionization chamber is calculated.
In step S602, a first horizontal-vertical interpolation weight of the first intermediate ionization chamber is calculated based on the first horizontal-vertical difference.
In step S603, a horizontal-vertical interpolation operation is performed on the first intermediate ionization chamber according to the first horizontal-vertical interpolation weight.
In step S604, a second lateral-to-vertical difference in the lateral-to-vertical direction of a second intermediate ionization chamber of the intermediate double-layer ionization chambers is calculated.
In step S605, a second horizontal-vertical interpolation weight of the second intermediate ionization chamber is calculated from the second horizontal-vertical difference.
In step S606, a horizontal-vertical interpolation operation is performed on the second intermediate ionization chamber according to the second horizontal-vertical interpolation weight, so as to obtain a resultant double-layer ionization chamber.
In the embodiment of the present application, as shown in the schematic diagram of horizontal and vertical interpolation of fig. 7, the white points are interpolated with the values of the inner ring dark color points and the light color points now being known. Taking point M1 as an example, the point in range 1 is E, J, O, P. The weight can be calculated by examining the gradients in the up, down, left, and right directions in steps S601 to S603:
Figure BDA0003183510730000101
Figure BDA0003183510730000102
Figure BDA0003183510730000103
Figure BDA0003183510730000104
Figure BDA0003183510730000105
or can compare | pE-pJI and I pO-pPSelecting small ones, and averaging to obtain:
Figure BDA0003183510730000106
in summary, the present application provides a dual-layer interpolation method, including: receiving an interpolation request carrying an original double-layer ionization chamber; filling the boundary of the original double-layer ionization chamber to obtain a filled double-layer ionization chamber; carrying out diagonal interpolation operation on a second filling ionization chamber filling the double-layer ionization chamber according to a first filling ionization chamber filling the double-layer ionization chamber in a diagonal direction to obtain a middle double-layer ionization chamber; performing horizontal and vertical interpolation operation on the middle double-layer ionization chamber in the horizontal and vertical directions to obtain a result double-layer ionization chamber; performing compensation operation on the resulting double-layer ionization chamber to obtain a compensation double-layer ionization chamber; judging whether the compensation double-layer ionization chamber meets the preset resolution requirement or not; if the compensation double-layer ionization chamber meets the resolution requirement, outputting the compensation double-layer ionization chamber; if the compensation double-layer ionization chamber does not meet the resolution requirement, the filling operation, the diagonal interpolation operation, the horizontal and vertical interpolation operation and the compensation operation are repeatedly executed until the obtained compensation double-layer ionization chamber meets the resolution requirement, and the compensation double-layer ionization chamber is output. The method fully utilizes the distribution characteristics of the arcmap double-layer ionization chamber, applies information of another layer to assist single-layer interpolation, and overcomes the problem of large error of algorithms such as linear interpolation in a large gradient area by utilizing gradient information. And the calculation is relatively simple and convenient and fast.
It is emphasized that to further ensure the privacy and safety of the supplemented double-layer ionization chamber, the supplemented double-layer ionization chamber may also be stored in a node of a block chain.
The block chain referred by the application is a novel application mode of computer technologies such as distributed data storage, point-to-point transmission, a consensus mechanism, an encryption algorithm and the like. A block chain (Blockchain), which is essentially a decentralized database, is a series of data blocks associated by using a cryptographic method, and each data block contains information of a batch of network transactions, so as to verify the validity (anti-counterfeiting) of the information and generate a next block. The blockchain may include a blockchain underlying platform, a platform product service layer, an application service layer, and the like.
The application is operational with numerous general purpose or special purpose computing system environments or configurations. For example: personal computers, server computers, hand-held or portable devices, tablet-type devices, multiprocessor systems, microprocessor-based systems, set top boxes, programmable consumer electronics, network PCs, minicomputers, mainframe computers, distributed computing environments that include any of the above systems or devices, and the like. The application may be described in the general context of computer-executable instructions, such as program modules, being executed by a computer. Generally, program modules include routines, programs, objects, components, data structures, etc. that perform particular tasks or implement particular abstract data types. The application may also be practiced in distributed computing environments where tasks are performed by remote processing devices that are linked through a communications network. In a distributed computing environment, program modules may be located in both local and remote computer storage media including memory storage devices.
It will be understood by those skilled in the art that all or part of the processes of the methods of the embodiments described above can be implemented by hardware associated with computer readable instructions, which can be stored in a computer readable storage medium, and when executed, can include processes of the embodiments of the methods described above. The storage medium may be a non-volatile storage medium such as a magnetic disk, an optical disk, a Read-Only Memory (ROM), or a Random Access Memory (RAM).
It should be understood that, although the steps in the flowcharts of the figures are shown in order as indicated by the arrows, the steps are not necessarily performed in order as indicated by the arrows. The steps are not performed in the exact order shown and may be performed in other orders unless explicitly stated herein. Moreover, at least a portion of the steps in the flow chart of the figure may include multiple sub-steps or multiple stages, which are not necessarily performed at the same time, but may be performed at different times, which are not necessarily performed in sequence, but may be performed alternately or alternately with other steps or at least a portion of the sub-steps or stages of other steps.
Example two
With further reference to fig. 8, as an implementation of the method shown in fig. 1, the present application provides an embodiment of a dual-layer interpolation apparatus, which corresponds to the embodiment of the method shown in fig. 1, and which can be applied in various electronic devices.
As shown in fig. 8, the dual-layer interpolation apparatus 100 of the present embodiment includes: the device comprises a request receiving module 110, a padding module 120, a diagonal interpolation module 130, a horizontal interpolation module 140, a padding module 150, a resolution determination module 160, a first output module 170, and a second output module 180. Wherein:
a request receiving module 110, configured to receive an interpolation request carrying an original double-layer ionization chamber;
a filling module 120, configured to perform filling operation on a boundary of the original double-layer ionization chamber to obtain a filled double-layer ionization chamber;
a diagonal interpolation module 130, configured to perform diagonal interpolation operation on a second filling ionization chamber of the filling double-layer ionization chambers in a diagonal direction according to a first filling ionization chamber of the filling double-layer ionization chambers, so as to obtain a middle double-layer ionization chamber;
a horizontal-vertical interpolation module 140, configured to perform horizontal-vertical interpolation operation on the middle double-layer ionization chamber in the horizontal-vertical direction to obtain a result double-layer ionization chamber;
the compensation elimination module 150 is used for carrying out compensation elimination operation on the result double-layer ionization chamber to obtain a compensation elimination double-layer ionization chamber;
the resolution judging module 160 is used for judging whether the compensation double-layer ionization chamber meets the preset resolution requirement;
the first output module 170 is used for outputting the compensation double-layer ionization chamber if the compensation double-layer ionization chamber meets the resolution requirement;
and the second output module 180 is configured to, if the compensation double-layer ionization chamber does not meet the resolution requirement, repeatedly perform the filling operation, the diagonal interpolation operation, the horizontal and vertical interpolation operation, and the compensation operation, and output the compensation double-layer ionization chamber until the obtained compensation double-layer ionization chamber meets the resolution requirement.
In the embodiment of the present application, the original double-layer ionization chamber refers to the original information of three-dimensional space rays obtained by probes distributed on the surface of an object to be measured, referring to a tiling schematic diagram of the double-layer ionization chamber shown in fig. 2, dark colors and light colors are ionization chambers of an inner ring and an outer ring respectively, it can be seen that the ionization chambers of the inner ring and the outer ring are distributed in a staggered manner, and the ionization chamber of the outer ring is approximately located at the center of a square lattice point formed by the ionization chambers of the inner ring (due to the limitation of hardware manufacturing process, in fact, the whole body has a 0.1mm offset from the center of the center, and this error is ignored here), and vice versa.
In the embodiment of the present application, since the number of probes is quite limited, an interpolation operation is required to obtain the dose distribution on the surface of the object to be measured.
In the embodiment of the application, the ionization chambers are distributed on the surface of the object to be measured, the periodicity must be considered during interpolation, and in addition, the interpolation needs to use the values of points in a certain range near the point to calculate the difference value in the edge condition, so the boundary of the original double-layer ionization chamber needs to be filled.
In the embodiment of the application, the filling operation may be a periodic filling operation performed on the horizontal boundary of the double-layer ionization chamber according to periodic data to obtain a periodically filled double-layer ionization chamber; and repeatedly filling the vertical boundary of the periodically filled double-layer ionization chamber according to the boundary data to obtain the filled double-layer ionization chamber.
In the embodiments of the present application, the first filling ionization chamber and the second filling ionization chamber are opposite and refer to the inner layer and the outer layer of the double-layer ionization chamber, respectively, and the present application does not limit the first filling ionization chamber and the second filling ionization chamber, and when the first filling ionization chamber fills the ionization chamber for the outer layer, the second filling ionization chamber fills the ionization chamber for the inner layer, and vice versa.
In the embodiment of the present application, the diagonal interpolation operation may be to calculate a first diagonal difference of the first padded ionization chamber in a diagonal direction; calculating a second diagonal interpolation weight of a second filling ionization chamber according to the first diagonal difference; performing diagonal interpolation operation on the second filling ionization chamber according to the second diagonal interpolation weight; calculating a second diagonal difference of the second padded ionization chamber in a diagonal direction; calculating a first diagonal interpolation weight of the first padded ionization chamber according to the second diagonal difference; and carrying out diagonal interpolation operation on the second filling ionization chamber according to the first diagonal interpolation weight to obtain a middle double-layer ionization chamber.
In the embodiment of the present application, the diagonal interpolation operation is expressed as:
Figure BDA0003183510730000141
wherein, wPjRepresenting the weight coefficient of the point P to be interpolated and the known point j; p is a radical ofjRepresents the known reading at point j; e is a small amount for avoiding degree 0.
In the embodiment of the present application, the horizontal-vertical interpolation operation may be to calculate a first horizontal-vertical difference of a first intermediate ionization chamber of the intermediate double-layer ionization chamber in the horizontal-vertical direction; calculating a first horizontal and vertical interpolation weight of the first intermediate ionization chamber according to the first horizontal and vertical difference;
performing horizontal and vertical interpolation operation on the first intermediate ionization chamber according to the first horizontal and vertical interpolation weight; calculating a second horizontal-vertical difference of a second intermediate ionization chamber of the intermediate double-layer ionization chamber in the horizontal-vertical direction; calculating a second horizontal and vertical interpolation weight of the second intermediate ionization chamber according to the second horizontal and vertical difference; and performing horizontal and vertical interpolation operation on the second intermediate ionization chamber according to the second horizontal and vertical interpolation weight to obtain a result double-layer ionization chamber.
In the embodiment of the present application, after one round of interpolation is completed, the filled rows and columns are removed, and then the next round of interpolation is performed.
In the embodiment of the application, a user can adjust the preset resolution requirement according to the actual situation.
In the embodiment of the present application, the above method is inversely multiplexed to the inter-point gradient (difference), and to simplify the calculation, the difference value between adjacent points may be calculated first and called when needed. Avoiding repeated calculation and accelerating the speed.
In the embodiment of the application, the information of another layer of ionization chamber is successfully utilized to double the resolution of the original single layer. Subsequently, the above steps can be further repeated to improve the resolution of a single layer, but only a single layer interpolation is performed because the inner and outer grid points are not staggered any more, and q in step S103 is changed to p, or with reference to the second method of step S104, if the values of the centers of a, B1, I1 and M are set, | p is comparedA-pMI and
Figure BDA0003183510730000151
and selecting the small one of the samples, and averaging the small one.
In the embodiment of the application, the resolution is doubled every time the method is repeated, and the coordinates of the interpolation points are relatively fixed. The general interpolation method can calculate the value of any point, but the method cannot be realized. After the resolution reaches the requirement, the method can be replaced by a general interpolation method such as linear interpolation and the like, and flexible processing is realized.
In the embodiment of the present application, the present application is not limited to a cylindrical surface, and the present method can be used for reference to any interpolation problem with double-layer staggered distribution.
In an embodiment of the present application, there is provided a dual-layer interpolation apparatus, including: a request receiving module 110, configured to receive an interpolation request carrying an original double-layer ionization chamber; a filling module 120, configured to perform filling operation on a boundary of the original double-layer ionization chamber to obtain a filled double-layer ionization chamber; a diagonal interpolation module 130, configured to perform diagonal interpolation operation on a second filling ionization chamber of the filling double-layer ionization chambers in a diagonal direction according to a first filling ionization chamber of the filling double-layer ionization chambers, so as to obtain a middle double-layer ionization chamber; a horizontal-vertical interpolation module 140, configured to perform horizontal-vertical interpolation operation on the middle double-layer ionization chamber in the horizontal-vertical direction to obtain a result double-layer ionization chamber; the compensation elimination module 150 is used for carrying out compensation elimination operation on the result double-layer ionization chamber to obtain a compensation elimination double-layer ionization chamber; the resolution judging module 160 is used for judging whether the compensation double-layer ionization chamber meets the preset resolution requirement; the first output module 170 is used for outputting the compensation double-layer ionization chamber if the compensation double-layer ionization chamber meets the resolution requirement; and the second output module 180 is configured to, if the compensation double-layer ionization chamber does not meet the resolution requirement, repeatedly perform the filling operation, the diagonal interpolation operation, the horizontal and vertical interpolation operation, and the compensation operation, and output the compensation double-layer ionization chamber until the obtained compensation double-layer ionization chamber meets the resolution requirement. The method fully utilizes the distribution characteristics of the arcmap double-layer ionization chamber, applies information of another layer to assist single-layer interpolation, and overcomes the problem of large error of algorithms such as linear interpolation in a large gradient area by utilizing gradient information. And the calculation is relatively simple and convenient and fast.
Continuing to refer to fig. 9, a schematic diagram of the structure of the shim module 120 of fig. 8 is shown, and for ease of illustration, only the portions relevant to the present application are shown.
In some optional implementations of this embodiment, the padding module 120 includes:
the period filling submodule 121 is configured to perform period filling operation on a horizontal boundary of the double-layer ionization chamber according to periodic data to obtain a period-filled double-layer ionization chamber;
and the repeated filling submodule 122 is used for performing repeated filling operation on the vertical boundary of the periodically filled double-layer ionization chamber according to the boundary data to obtain a filled double-layer ionization chamber.
In the embodiment of the present application, the points in the range of not less than the sum are filled up by using the periodic boundary condition for the left and right boundaries in fig. 2. If the range is 1, the left and right sides are filled in one column respectively.
In the embodiment of the present application, the upper and lower boundaries in fig. 2 are padded with points in a range greater than or equal to the padding rule, and the padding rule is a value of the copy boundary.
In some optional implementations of this embodiment, the diagonal interpolation module 130 includes:
a first diagonal difference numerator module to calculate a first diagonal difference of the first padded ionization chamber in a diagonal direction;
a second diagonal weight submodule for calculating a second diagonal interpolation weight for a second fill-in ionization chamber based on the first diagonal difference;
the first diagonal interpolation submodule is used for carrying out diagonal interpolation operation on the second filling ionization chamber according to the second diagonal interpolation weight;
a second diagonal sub-module for calculating a second diagonal difference of the second padded ionization chamber in a diagonal direction;
a first diagonal weight submodule for calculating a first diagonal interpolation weight of the first fill-in ionization chamber from the second diagonal differential;
and the second diagonal interpolation submodule is used for carrying out diagonal interpolation operation on the second filling ionization chamber according to the first diagonal interpolation weight to obtain a middle double-layer ionization chamber.
In some optional implementations of this embodiment, the vertical-horizontal interpolation module 140 includes:
the first horizontal-vertical difference submodule is used for calculating a first horizontal-vertical difference of a first middle ionization chamber of the middle double-layer ionization chamber in the horizontal-vertical direction;
the second horizontal-vertical weight submodule is used for calculating a first horizontal-vertical interpolation weight of the first intermediate ionization chamber according to the first horizontal-vertical difference;
the first horizontal-vertical interpolation submodule is used for performing horizontal-vertical interpolation operation on the first middle ionization chamber according to the first horizontal-vertical interpolation weight;
the second horizontal-vertical difference submodule is used for calculating a second horizontal-vertical difference of a second middle ionization chamber of the middle double-layer ionization chamber in the horizontal-vertical direction;
the first horizontal-vertical weight submodule is used for calculating a second horizontal-vertical interpolation weight of the second intermediate ionization chamber according to the second horizontal-vertical difference;
and the second horizontal-vertical interpolation submodule is used for performing horizontal-vertical interpolation operation on the second middle ionization chamber according to the second horizontal-vertical interpolation weight to obtain a result double-layer ionization chamber.
In summary, the present application provides a dual-layer interpolation apparatus, including: a request receiving module 110, configured to receive an interpolation request carrying an original double-layer ionization chamber; a filling module 120, configured to perform filling operation on a boundary of the original double-layer ionization chamber to obtain a filled double-layer ionization chamber; a diagonal interpolation module 130, configured to perform diagonal interpolation operation on a second filling ionization chamber of the filling double-layer ionization chambers in a diagonal direction according to a first filling ionization chamber of the filling double-layer ionization chambers, so as to obtain a middle double-layer ionization chamber; a horizontal-vertical interpolation module 140, configured to perform horizontal-vertical interpolation operation on the middle double-layer ionization chamber in the horizontal-vertical direction to obtain a result double-layer ionization chamber; the compensation elimination module 150 is used for carrying out compensation elimination operation on the result double-layer ionization chamber to obtain a compensation elimination double-layer ionization chamber; the resolution judging module 160 is used for judging whether the compensation double-layer ionization chamber meets the preset resolution requirement; the first output module 170 is used for outputting the compensation double-layer ionization chamber if the compensation double-layer ionization chamber meets the resolution requirement; and the second output module 180 is configured to, if the compensation double-layer ionization chamber does not meet the resolution requirement, repeatedly perform the filling operation, the diagonal interpolation operation, the horizontal and vertical interpolation operation, and the compensation operation, and output the compensation double-layer ionization chamber until the obtained compensation double-layer ionization chamber meets the resolution requirement. The method fully utilizes the distribution characteristics of the arcmap double-layer ionization chamber, applies information of another layer to assist single-layer interpolation, and overcomes the problem of large error of algorithms such as linear interpolation in a large gradient area by utilizing gradient information. And the calculation is relatively simple and convenient and fast.
In order to solve the technical problem, an embodiment of the present application further provides a computer device. Referring to fig. 10, fig. 10 is a block diagram of a basic structure of a computer device according to the present embodiment.
The computer device 200 includes a memory 210, a processor 220, and a network interface 230 communicatively coupled to each other via a system bus. It is noted that only computer device 200 having components 210 and 230 is shown, but it is understood that not all of the illustrated components are required and that more or fewer components may alternatively be implemented. As will be understood by those skilled in the art, the computer device is a device capable of automatically performing numerical calculation and/or information processing according to a preset or stored instruction, and the hardware includes, but is not limited to, a microprocessor, an Application Specific Integrated Circuit (ASIC), a Programmable Gate Array (FPGA), a Digital Signal Processor (DSP), an embedded device, and the like.
The computer device can be a desktop computer, a notebook, a palm computer, a cloud server and other computing devices. The computer equipment can carry out man-machine interaction with a user through a keyboard, a mouse, a remote controller, a touch panel or voice control equipment and the like.
The memory 210 includes at least one type of readable storage medium including a flash memory, a hard disk, a multimedia card, a card type memory (e.g., SD or DX memory, etc.), a Random Access Memory (RAM), a Static Random Access Memory (SRAM), a Read Only Memory (ROM), an Electrically Erasable Programmable Read Only Memory (EEPROM), a Programmable Read Only Memory (PROM), a magnetic memory, a magnetic disk, an optical disk, etc. In some embodiments, the storage 210 may be an internal storage unit of the computer device 200, such as a hard disk or a memory of the computer device 200. In other embodiments, the memory 210 may also be an external storage device of the computer device 200, such as a plug-in hard disk, a Smart Media Card (SMC), a Secure Digital (SD) Card, a Flash memory Card (Flash Card), or the like, provided on the computer device 200. Of course, the memory 210 may also include both internal and external storage devices of the computer device 200. In this embodiment, the memory 210 is generally used for storing an operating system installed in the computer device 200 and various types of application software, such as computer readable instructions of a two-layer interpolation method. In addition, the memory 210 may also be used to temporarily store various types of data that have been output or are to be output.
The processor 220 may be a Central Processing Unit (CPU), controller, microcontroller, microprocessor, or other data Processing chip in some embodiments. The processor 220 is generally operative to control overall operation of the computer device 200. In this embodiment, the processor 220 is configured to execute computer readable instructions stored in the memory 210 or process data, such as executing computer readable instructions of the dual-layer interpolation method.
The network interface 230 may include a wireless network interface or a wired network interface, and the network interface 230 is generally used to establish a communication connection between the computer device 200 and other electronic devices.
The computer equipment provided by the application makes full use of the distribution characteristics of the arcmap double-layer ionization chamber, applies information of the other layer to assist single-layer interpolation, and overcomes the problem of large error of algorithms such as linear interpolation in a large gradient area by using gradient information. And the calculation is relatively simple and convenient and fast.
The present application further provides another embodiment, which is to provide a computer-readable storage medium storing computer-readable instructions executable by at least one processor to cause the at least one processor to perform the steps of the dual-layer interpolation method as described above.
The computer-readable storage medium provided by the application makes full use of the distribution characteristics of the arcmap double-layer ionization chamber, applies information of another layer to assist single-layer interpolation, and overcomes the problem of large error of algorithms such as linear interpolation in a large gradient area by using gradient information. And the calculation is relatively simple and convenient and fast.
Through the above description of the embodiments, those skilled in the art will clearly understand that the method of the above embodiments can be implemented by software plus a necessary general hardware platform, and certainly can also be implemented by hardware, but in many cases, the former is a better implementation manner. Based on such understanding, the technical solutions of the present application may be embodied in the form of a software product, which is stored in a storage medium (such as ROM/RAM, magnetic disk, optical disk) and includes instructions for enabling a terminal device (such as a mobile phone, a computer, a server, an air conditioner, or a network device) to execute the method according to the embodiments of the present application.
It is to be understood that the above-described embodiments are merely illustrative of some, but not restrictive, of the broad invention, and that the appended drawings illustrate preferred embodiments of the invention and do not limit the scope of the invention. This application is capable of embodiments in many different forms and is provided for the purpose of enabling a thorough understanding of the disclosure of the application. Although the present application has been described in detail with reference to the foregoing embodiments, it will be apparent to one skilled in the art that the present application may be practiced without modification or with equivalents of some of the features described in the foregoing embodiments. All equivalent structures made by using the contents of the specification and the drawings of the present application are directly or indirectly applied to other related technical fields and are within the protection scope of the present application.

Claims (10)

1. A method of dual layer interpolation, comprising the steps of:
receiving an interpolation request carrying an original double-layer ionization chamber;
filling the boundary of the original double-layer ionization chamber to obtain a filled double-layer ionization chamber;
carrying out diagonal interpolation operation on a second filling ionization chamber of the filling double-layer ionization chambers according to a first filling ionization chamber of the filling double-layer ionization chambers in a diagonal direction to obtain a middle double-layer ionization chamber;
performing horizontal and vertical interpolation operation on the middle double-layer ionization chamber in the horizontal and vertical directions to obtain a result double-layer ionization chamber;
performing compensation elimination operation on the result double-layer ionization chamber to obtain a compensation elimination double-layer ionization chamber;
judging whether the compensation double-layer ionization chamber meets the preset resolution requirement or not;
if the compensation double-layer ionization chamber meets the resolution requirement, outputting the compensation double-layer ionization chamber;
if the compensation double-layer ionization chamber does not meet the resolution requirement, the filling operation, the diagonal interpolation operation, the horizontal and vertical interpolation operation and the compensation operation are repeatedly executed until the obtained compensation double-layer ionization chamber meets the resolution requirement, and the compensation double-layer ionization chamber is output.
2. The double-layer interpolation method according to claim 1, wherein the step of filling the boundary of the double-layer ionization chamber to obtain a filled double-layer ionization chamber includes the following steps:
carrying out periodic filling operation on the horizontal boundary of the double-layer ionization chamber according to periodic data to obtain a periodically filled double-layer ionization chamber;
and repeatedly filling the vertical boundary of the periodically filled double-layer ionization chamber according to the boundary data to obtain the filled double-layer ionization chamber.
3. The double-layer interpolation method of claim 1, wherein the step of performing diagonal interpolation on a second filled-in ionization chamber of the filled-in double-layer ionization chambers in a diagonal direction according to a first filled-in ionization chamber of the filled-in double-layer ionization chambers to obtain an intermediate double-layer ionization chamber comprises the following steps:
calculating a first diagonal difference of the first padded ionization chamber in a diagonal direction;
calculating a second diagonal interpolation weight for the second padded ionization chamber from the first diagonal difference;
performing diagonal interpolation operation on the second filling ionization chamber according to the second diagonal interpolation weight;
calculating a second diagonal difference of the second padded ionization chamber in a diagonal direction;
calculating a first diagonal interpolation weight for the first padded ionization chamber from the second diagonal difference;
and carrying out the diagonal interpolation operation on the second filling ionization chamber according to the first diagonal interpolation weight to obtain the middle double-layer ionization chamber.
4. The double-layer interpolation method according to claim 1, wherein the step of performing a vertical-horizontal interpolation operation on the intermediate double-layer ionization chamber in a vertical-horizontal direction to obtain a resultant double-layer ionization chamber includes the following steps:
calculating a first horizontal-vertical difference of a first intermediate ionization chamber of the intermediate double-layer ionization chambers in the horizontal-vertical direction;
calculating a first horizontal and vertical interpolation weight of the first intermediate ionization chamber according to the first horizontal and vertical difference;
performing horizontal and vertical interpolation operation on the first intermediate ionization chamber according to the first horizontal and vertical interpolation weight;
calculating a second horizontal-vertical difference of a second intermediate ionization chamber of the intermediate double-layer ionization chamber in the horizontal-vertical direction;
calculating a second horizontal and vertical interpolation weight of the second intermediate ionization chamber according to the second horizontal and vertical difference;
and performing the horizontal and vertical interpolation operation on the second intermediate ionization chamber according to the second horizontal and vertical interpolation weight to obtain the result double-layer ionization chamber.
5. The dual-layer interpolation method of claim 1, wherein the diagonal interpolation operation is expressed as:
Figure FDA0003183510720000021
wherein, wPjRepresenting the weight coefficient of the point P to be interpolated and the known point j; p is a radical ofjRepresents the known reading at point j; e is a small amount for avoiding degree 0.
6. The dual-layer interpolation method of claim 1, further comprising, after the step of outputting the apostrophe dual-layer ionization chamber, the steps of:
and storing the compensated double-layer ionization chamber into a block chain.
7. A dual-layer interpolation apparatus, comprising:
the request receiving module is used for receiving an interpolation request carrying an original double-layer ionization chamber;
the filling module is used for filling the boundary of the original double-layer ionization chamber to obtain a filled double-layer ionization chamber;
the diagonal interpolation module is used for carrying out diagonal interpolation operation on a second filling ionization chamber of the filling double-layer ionization chambers according to a first filling ionization chamber of the filling double-layer ionization chambers in the diagonal direction to obtain a middle double-layer ionization chamber;
the horizontal-vertical interpolation module is used for performing horizontal-vertical interpolation operation on the middle double-layer ionization chamber in the horizontal-vertical direction to obtain a result double-layer ionization chamber;
the compensation elimination module is used for carrying out compensation elimination operation on the result double-layer ionization chamber to obtain a compensation elimination double-layer ionization chamber;
the resolution judging module is used for judging whether the compensation double-layer ionization chamber meets the preset resolution requirement or not;
the first output module is used for outputting the compensation double-layer ionization chamber if the compensation double-layer ionization chamber meets the resolution requirement;
and the second output module is used for repeatedly executing the filling operation, the diagonal interpolation operation, the horizontal and vertical interpolation operation and the compensation operation if the compensation double-layer ionization chamber does not meet the resolution requirement, and outputting the compensation double-layer ionization chamber until the obtained compensation double-layer ionization chamber meets the resolution requirement.
8. The dual-layer interpolation apparatus of claim 7, wherein the padding module comprises:
the period filling sub-module is used for carrying out period filling operation on the horizontal boundary of the double-layer ionization chamber according to periodic data to obtain a period filling double-layer ionization chamber;
and the repeated filling submodule is used for performing repeated filling operation on the vertical boundary of the periodically filled double-layer ionization chamber according to the boundary data to obtain the filled double-layer ionization chamber.
9. A computer device comprising a memory having computer readable instructions stored therein and a processor which when executed implements the steps of the dual layer interpolation method of any of claims 1 to 6.
10. A computer-readable storage medium having computer-readable instructions stored thereon which, when executed by a processor, implement the steps of the dual-layer interpolation method of any of claims 1 to 6.
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