CN107036563A - It is determined that projection angular accuracy and the method and ct apparatus of projected angle - Google Patents
It is determined that projection angular accuracy and the method and ct apparatus of projected angle Download PDFInfo
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- G—PHYSICS
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- G01B15/00—Measuring arrangements characterised by the use of electromagnetic waves or particle radiation, e.g. by the use of microwaves, X-rays, gamma rays or electrons
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- A61B—DIAGNOSIS; SURGERY; IDENTIFICATION
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Abstract
The invention discloses a kind of method for determining projection angular accuracy, the method and ct apparatus that determine projected angle.According to the first aspect of the invention, it is determined that the method for projection angular accuracy includes：One scan object is calculated to project with the theory of each passage when an X-ray tube is located at a projected angle；The sweep object is scanned when the X-ray tube is located at the projected angle；Measure sweep object projection with each passage when the X-ray tube is located at the projected angle；Compare the theoretical projection and the projection measured.The method of the determination projected angle precision of the present invention, determine that the method and ct apparatus of projected angle can compare the theoretical projection and measurement projection of sweep object, so that it is determined that projection angular accuracy or even best projection angle.
Description
Technical field
The present invention relates to computed tomography, particularly projected angle.
Background technology
In CT system, the precision of projected angle is extremely important for image reconstruction.At present, the precision is ensured by design
's.By checking mechanical precision, projected angle is considered as accurately.
The content of the invention
In view of this, the present invention proposes a kind of method for determining projection angular accuracy, the method for determining projected angle and calculating
Machine tomographic apparatus.
According to the first aspect of the invention there is provided a kind of method for determining projection angular accuracy, including：Calculate one scan object
Projected when an X-ray tube is located at a projected angle with the theory of each passage；Scanned when the X-ray tube is located at the projected angle
The sweep object；Measure sweep object projection with each passage when the X-ray tube is located at the projected angle；Compare
The theoretical projection and the projection measured.
In one embodiment, the sweep object is a die body, and it has a housing and an inner matter, and the housing is by gathering
Methyl methacrylate is made, and the inner matter is water, through any X-ray of the die body theory be projected as S (i)=
μ1·l1(i)+(μ2-μ1)·l2(i), wherein：
μ1And μ2It is the attenuation coefficient of water and polymethyl methacrylate respectively；
I is the counting of different probe access in a projection；
l1And l (i)2(i) it is respectively chord length of any X-ray through the inner matter and housing.
In one embodiment,
Wherein, r1And r2The radius of respectively described inner matter and housing, d penetrates for the center of circle of the die body to any X
The distance of line.
According to the second aspect of the invention there is provided a kind of method for determining projected angle, including：One scan object is calculated one
Projected when X-ray tube is located at the projected angle with the theory of each passage；Institute is scanned when the X-ray tube is located at the projected angle
State sweep object；Measure sweep object projection with each passage when the X-ray tube is located at the projected angle；Calculate institute
Projected angle is stated, so that the projection measured and the theoretical projection matching.
In one embodiment, the sweep object is a die body, and it has a housing and an inner matter, and the housing is by gathering
Methyl methacrylate is made, and the inner matter is water, through any X-ray of the die body theory be projected as S (i)=
μ1·l1(i)+(μ2-μ1)·l2(i), wherein：
μ1And μ2It is the attenuation coefficient of water and polymethyl methacrylate respectively；
I is the counting of different probe access in a projection；
l1And l (i)2(i) it is respectively chord length of any X-ray through the inner matter and housing.
In one embodiment,
Wherein, r1And r2The radius of respectively described inner matter and housing, d penetrates for the center of circle of the die body to any X
The distance of line；
D=Rsin (β0- β (i))=R (sin β0cosβ(i)-cosβ0sinβ(i))；
Wherein R is distance of the X-ray tube to the center of circle of the die body, β0It is the X-ray tube to pivot
Ray and the X-ray tube are to the angle between the ray in the center of circle of the die body, and β is the X-ray tube to pivot
Angle between ray and any X-ray；RSOIt is distance of the X-ray tube to pivot, h is the circle of the die body
The heart is to the distance of pivot, and α is the projected angle of the X-ray tube, and
In one embodiment, the projection measured meets least square method with the theoretical projection matching.
According to the third aspect of the invention we there is provided a kind of ct apparatus, including：One computing unit, it is used
Projected in calculating one scan object when an X-ray tube is located at a projected angle with the theory of each passage；One scan unit, it is used for
The sweep object is scanned when the X-ray tube is located at the projected angle；One measuring unit, it is used to measure the scanning pair
As the projection when the X-ray tube is located at the projected angle with each passage；One comparing unit, it is used for theoretical throwing described in comparison
Shadow and the projection measured.
In one embodiment, the sweep object is a die body, and it has a housing and an inner matter, and the housing is by gathering
Methyl methacrylate is made, and the inner matter is water, through any X-ray of the die body theory be projected as S (i)=
μ1·l1(i)+(μ2-μ1)·l2(i), wherein：
μ1And μ2It is the attenuation coefficient of water and polymethyl methacrylate respectively；
I is the counting of different probe access in a projection；
l1And l (i)2(i) it is respectively chord length of any X-ray through the inner matter and housing.
In one embodiment,
Wherein, r1And r2The radius of respectively described inner matter and housing, d penetrates for the center of circle of the die body to any X
The distance of line.
According to the fourth aspect of the invention there is provided a kind of ct apparatus, including：One first computing unit,
It is used to calculate the theory projection with each passage when an X-ray tube is located at the projected angle of one scan object；One scan unit,
It is used to scan the sweep object when the X-ray tube is located at the projected angle；One measuring unit, it is used to measure described
Sweep object the X-ray tube be located at the projected angle when with each passage projection；One second computing unit, it is used to calculate
The projected angle, so that the projection measured and the theoretical projection matching.
In one embodiment, the sweep object is a die body, and it has a housing and an inner matter, and the housing is by gathering
Methyl methacrylate is made, and the inner matter is water, through any X-ray of the die body theory be projected as S (i)=
μ1·l1(i)+(μ2-μ1)·l2(i), wherein：
μ1And μ2It is the attenuation coefficient of water and polymethyl methacrylate respectively；
I is the counting of different probe access in a projection；
l1And l (i)2(i) it is respectively chord length of any X-ray through the inner matter and housing.
In one embodiment,
Wherein, r1And r2The radius of respectively described inner matter and housing, d penetrates for the center of circle of the die body to any X
The distance of line；
D=Rsin (β0- β (i))=R (sin β0cosβ(i)-cosβ0sinβ(i))；
Wherein R is distance of the X-ray tube to the center of circle of the die body, β0It is the X-ray tube to pivot
Ray and the X-ray tube are to the angle between the ray in the center of circle of the die body, and β is the X-ray tube to pivot
Angle between ray and any X-ray；RSOIt is distance of the X-ray tube to pivot, h is the circle of the die body
The heart is to the distance of pivot, and α is the projected angle of the X-ray tube, and
In one embodiment, the projection measured meets least square method with the theoretical projection matching.
The present invention determination projected angle precision method, determine that the method and ct apparatus of projected angle can compare
Compared with the theoretical projection and measurement projection of sweep object, so that it is determined that projection angular accuracy or even best projection angle.
Brief description of the drawings
The preferred embodiments of the present invention will be described in detail by referring to accompanying drawing below, and make one of ordinary skill in the art more
In the above and other feature and advantage of the clear present invention, accompanying drawing：
Fig. 1 is the flow chart of the method for the determination projected angle precision according to the first embodiment of the present invention.
Fig. 2 is the schematic diagram that an X-ray tube is scanned to a homogeneous die body.
Fig. 3 is the schematic diagram of the die body for being used to test according to the first embodiment of the present invention.
Fig. 4 A are that detector is received when being located at a specific projection angle according to the X-ray tube of the first embodiment of the present invention
The theoretical change curve projected with passage of signal.
Fig. 4 B are that detector is received when being located at same specific projection angle according to the X-ray tube of the first embodiment of the present invention
Signal measurement projection with passage change curve.
Fig. 5 is the flow chart of the method for the determination projected angle according to the second embodiment of the present invention.
Fig. 6 is the schematic diagram of the ct apparatus according to the third embodiment of the present invention.
Fig. 7 is the schematic diagram of the ct apparatus according to the fourth embodiment of the present invention.
In above-mentioned accompanying drawing, the reference used is as follows：
100；The comparing unit of 200 method 308
S102, S104, the computing unit of step 402 first
S106、S108；
S202、S204、
S206、S208
300；The computing unit of 400 ct apparatus 408 second
302；The die body of computing unit 150
304；The housing of 404 scanning element 152
306；The inner matter of 406 measuring unit 154
Embodiment
To make the object, technical solutions and advantages of the present invention clearer, by the following examples to of the invention further detailed
Describe in detail bright.
Fig. 1 is the flow chart of the method 100 of the determination projected angle precision according to the first embodiment of the present invention.It is determined that projection
The method 100 of angular accuracy includes：
Step S102, calculates one scan object and is projected when an X-ray tube is located at a projected angle with the theory of each passage；
Step S104, the sweep object is scanned when X-ray tube is located at the projected angle；
Step S106, measures sweep object projection with each passage when X-ray tube is located at the projected angle；
Step S108, relatively more theoretical projection and the projection measured.
Fig. 2 is the schematic diagram that an X-ray tube is scanned to a homogeneous die body.The X-ray tube launches a fladellum in point T, its
The angular bisector that edge is X-ray TN and TM, TO are ∠ NTM, the X-ray tube can be in X/Y plane around point O rotations, and α is the X
The projected angle of ray tube.For sake of convenience, the X-ray tube is also represented with T sometimes in the application.Above-mentioned homogeneous die body has
The imaginary concentric inner cores (being represented with less concentric circles) of one center of circle P and one, TQ is any X-ray through the die body, PD ⊥
TQ.X-ray tube is made to the angle ∠ PTO=between pivot O ray TO and X-ray tube to the die body center of circle P ray TP
β0, the ray TO of X-ray tube to pivot O and the angle ∠ QTO=β through any X-ray TQ of die body, other numbers
Amount is defined as follows：
R is the radius of die body；
D is the center of circle P to any X-ray TQ of die body distance；
H is the center of circle P to pivot O of die body distance；
RSOIt is distances of the X-ray tube T to pivot O.
So：
Distances of the X-ray tube T to the center of circle P of die body
X-ray TQ passes through the chord length of die bodyIt influences the decay or projection of the ray
D=Rsin (β0- β (i))=R (sin β0cosβ(i)-cosβ0sinβ(i))
Wherein i is the counting of different probe access in a projection.
Fig. 3 is the schematic diagram of the die body 152 for being used to test according to the first embodiment of the present invention, and it has a housing
152 and an inner matter 154.With reference to Fig. 2, the homogeneous die body in Fig. 2 can be replaced with die body 150, now imaginary inner core is interior
Glove 154 is substituted.In the present embodiment, housing 152 is made up of polymethyl methacrylate, and inner matter 154 is water.Inner matter
154 and the radius of housing 152 be respectively r1And r2, l1And l2Respectively X-ray TQ passes through the string of inner matter 154 and housing 152
It is long, then have
Assuming that μ1And μ2The attenuation coefficient of water and polymethyl methacrylate respectively, then the X-ray TQ that step S102 is obtained
S (i)=μ is projected as through die body 1501·l1(i)+(μ2-μ1)·l2(i).When Fig. 4 A are that X-ray tube is located at specific projection angle α
The theoretical change curve for projecting S with passage i for the signal that detector is received.
In step S104, die body 152 is scanned when X-ray tube T is located at projected angle α.
In step s 106, the projection with passage i when X-ray tube T is located at projected angle α of die body 152 is measured.Fig. 4 B are X
The measurement for the signal that detector is received when ray tube is located at projected angle α projects the change curve with passage i.
In step S108, relatively more theoretical projection and the projection measured.The size of difference indicates system and adopted between the two
The size of difference between projected angle and actual projected angle, namely projection angular accuracy.
Fig. 5 is the flow chart of the method 200 of the determination projected angle according to the second embodiment of the present invention.Determine a projected angle
Method 200 include：
Step S202, calculates one scan object and is projected when an X-ray tube is located at the projected angle with the theory of each passage；
Step S204, the sweep object is scanned when X-ray tube is located at the projected angle；
Step S206, measures sweep object projection with each passage when X-ray tube is located at the projected angle；
Step S208, calculates the projected angle, so that the projection measured and theoretical projection matching.
Step S202, step S204 and step S206 are identical with step S102, step S104 and step S106 respectively.
In step S208, for example can using least square method by the projection measured and the theoretical projection matching, from
And calculate the projected angle that reconstruction image should be used.
Fig. 6 is the schematic diagram of the ct apparatus 300 according to the third embodiment of the present invention.Computerized tomography
Scanning device 300 is used to determine projection angular accuracy, including a computing unit 302, one scan unit 304, the and of a measuring unit 306
One comparing unit 308.Computing unit 302, scanning element 304, measuring unit 306 and comparing unit 308 are respectively used to implementation
Step S102, S104, S106 and S108 in one embodiment.
Fig. 7 is the schematic diagram of the ct apparatus 400 according to the fourth embodiment of the present invention.Computerized tomography
Scanning device 400 is used to determine projected angle, including one first computing unit 402, one scan unit 404, the and of a measuring unit 406
One second computing unit 408.First computing unit 402, scanning element 404,408 points of 406 and second computing unit of measuring unit
Step S202, S204, S206 and S208 in second embodiment Yong Yu not implemented.
The present invention determination projected angle precision method, determine that the method and ct apparatus of projected angle can compare
Compared with the theoretical projection and measurement projection of sweep object, so that it is determined that projection angular accuracy or even best projection angle.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not intended to limit the invention, all essences in the present invention
God is with principle, and any modification, equivalent substitution and improvements made etc. should be included in the scope of the protection.
Claims (14)
1. a kind of method for determining projection angular accuracy, including：
One scan object is calculated to project with the theory of each passage when an X-ray tube is located at a projected angle；
The sweep object is scanned when the X-ray tube is located at the projected angle；
Measure sweep object projection with each passage when the X-ray tube is located at the projected angle；
Compare the theoretical projection and the projection measured.
2. the method as claimed in claim 1 for determining projection angular accuracy, it is characterized in that, the sweep object is a die body
(150), it has a housing (152) and an inner matter (154), and the housing (152) is made up of polymethyl methacrylate, institute
It is water to state inner matter (154), and the theory through any X-ray (TQ) of the die body (150) is projected as S (i)=μ1·l1(i)+
(μ2-μ1)·l2(i), wherein：
μ 1 and μ 2 are the attenuation coefficient of water and polymethyl methacrylate respectively；
I is the counting of different probe access in a projection；
l1And l (i)2(i) it is respectively chord length of any X-ray (TQ) through the inner matter (154) and housing (152).
3. the method as claimed in claim 2 for determining projection angular accuracy, it is characterized in that,
Wherein, r1And r2Respectively described inner matter (154) and the radius of housing (152), d arrive for the center of circle of the die body (150)
The distance of any X-ray.
4. a kind of method for determining projected angle, including：
One scan object is calculated to project with the theory of each passage when an X-ray tube is located at the projected angle；
The sweep object is scanned when the X-ray tube is located at the projected angle；
Measure sweep object projection with each passage when the X-ray tube is located at the projected angle；
The projected angle is calculated, so that the projection measured and the theoretical projection matching.
5. the method for projected angle is determined as claimed in claim 4, it is characterized in that, the sweep object is a die body (150), its
With a housing (152) and an inner matter (154), the housing (152) is made up of polymethyl methacrylate, the inner matter
(154) it is water, the theory through any X-ray (TQ) of the die body (150) is projected as S (i)=μ1·l1(i)+(μ2-
μ1)·l2(i), wherein：
μ1And μ2It is the attenuation coefficient of water and polymethyl methacrylate respectively；
I is the counting of different probe access in a projection；
l1And l (i)2(i) it is respectively chord length of any X-ray (TQ) through the inner matter (154) and housing (152).
6. the method for projected angle is determined as claimed in claim 5, it is characterized in that,
Wherein, r1And r2Respectively described inner matter (154) and the radius of housing (152), d are the center of circle of the die body (150)
(P) distance of any X-ray (TQ) is arrived；
D=Rsin (β0- β (i))=R (sin β0cosβ(i)-cosβ0sinβ(i))；
Wherein R is distance of the X-ray tube (T) to the center of circle (P) of the die body (150), and β 0 is the X-ray tube (T) extremely rotation
Turn the folder between center (O) ray (TO) and the X-ray tube (T) the extremely ray (TP) in the center of circle (P) of the die body (150)
Angle, β is the X-ray tube (T) to the angle between pivot (O) ray (TO) and any X-ray (TQ)；RSO is
The X-ray tube (T) to pivot (O) distance, h for the die body (150) the center of circle (P) to pivot (O) away from
From, α is the projected angle of the X-ray tube (T), and
7. the method for projected angle is determined as claimed in claim 4, it is characterized in that, the projection measured and the theoretical throwing
Shadow matching meets least square method.
8. a kind of ct apparatus, including：
One computing unit (302), it is used to calculate one scan object reason with each passage when an X-ray tube is located at a projected angle
By projection；
One scan unit (304), it is used to scan the sweep object when the X-ray tube is located at the projected angle；
One measuring unit (306), it is used to measure the sweep object when the X-ray tube is located at the projected angle with each logical
The projection in road；
One comparing unit (308), it is used for theoretical projection described in comparison and the projection measured.
9. ct apparatus as claimed in claim 8, it is characterized in that, the sweep object is a die body (150),
It has a housing (152) and an inner matter (154), and the housing (152) is made up of polymethyl methacrylate, described built-in
Thing (154) is water, and the theory through any X-ray (TQ) of the die body (150) is projected as S (i)=μ1·l1(i)+(μ2-
μ1)·l2(i), wherein：
μ1And μ2It is the attenuation coefficient of water and polymethyl methacrylate respectively；
I is the counting of different probe access in a projection；
l1And l (i)2(i) it is respectively chord length of any X-ray (TQ) through the inner matter (154) and housing (152).
10. ct apparatus as claimed in claim 9, it is characterized in that,
Wherein, r1And r2Respectively described inner matter (154) and the radius of housing (152), d arrive for the center of circle of the die body (150)
The distance of any X-ray.
11. a kind of ct apparatus, including：
One first computing unit (402), it is used to calculate one scan object when an X-ray tube is located at the projected angle with each logical
The theoretical projection in road；
One scan unit (404), it is used to scan the sweep object when the X-ray tube is located at the projected angle；
One measuring unit (406), it is used to measure the sweep object when the X-ray tube is located at the projected angle with each logical
The projection in road；
One second computing unit (408), it is used to calculate the projected angle, so that the projection measured and the theoretical throwing
Shadow is matched.
12. ct apparatus as claimed in claim 11, it is characterized in that, the sweep object is a die body
(150), it has a housing (152) and an inner matter (154), and the housing (152) is made up of polymethyl methacrylate, institute
It is water to state inner matter (154), and the theory through any X-ray (TQ) of the die body (150) is projected as S (i)=μ1·l1(i)+
(μ2-μ1)·l2(i), wherein：
μ1And μ2It is the attenuation coefficient of water and polymethyl methacrylate respectively；
I is the counting of different probe access in a projection；
l1And l (i)2(i) it is respectively chord length of any X-ray (TQ) through the inner matter (154) and housing (152).
13. ct apparatus as claimed in claim 12, it is characterized in that,
Wherein, r1And r2Respectively described inner matter (154) and the radius of housing (152), d are the center of circle of the die body (150)
(P) distance of any X-ray (TQ) is arrived；
D=Rsin (β0- β (i))=R (sin β0cosβ(i)-cosβ0sinβ(i))；
Wherein R is distance of the X-ray tube (T) to the center of circle (P) of the die body (150), and β 0 is the X-ray tube (T) extremely rotation
Turn the folder between center (O) ray (TO) and the X-ray tube (T) the extremely ray (TP) in the center of circle (P) of the die body (150)
Angle, β is the X-ray tube (T) to the angle between pivot (O) ray (TO) and any X-ray (TQ)；RSO is
The X-ray tube (T) to pivot (O) distance, h for the die body (150) the center of circle (P) to pivot (O) away from
From, α is the projected angle of the X-ray tube (T), and
14. ct apparatus as claimed in claim 11, it is characterized in that, the projection measured and the reason
Meet least square method by projection matching.
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