CN109671153B - Three-dimensional reconstruction method for contour line of complex organ - Google Patents
Three-dimensional reconstruction method for contour line of complex organ Download PDFInfo
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- CN109671153B CN109671153B CN201811480148.4A CN201811480148A CN109671153B CN 109671153 B CN109671153 B CN 109671153B CN 201811480148 A CN201811480148 A CN 201811480148A CN 109671153 B CN109671153 B CN 109671153B
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- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
- G06T17/20—Finite element generation, e.g. wire-frame surface description, tesselation
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- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T17/00—Three dimensional [3D] modelling, e.g. data description of 3D objects
- G06T17/10—Constructive solid geometry [CSG] using solid primitives, e.g. cylinders, cubes
Abstract
The invention discloses a three-dimensional reconstruction method for a contour line of a complex organ, and relates to the technical field of contour line three-dimensional reconstruction. Preprocessing each inputted organ contour line; establishing a corresponding cylinder curved surface for each layer of the organ contour line; fusing all the cylinder curved surfaces to obtain an integral curved surface; and carrying out mesh smoothing on the whole curved surface by using a weighted Laplace mesh smoothing method. The organ contour lines are preprocessed, and cylinder curved surfaces of the organ contour lines and nested contour lines of the organ contour lines are established; meanwhile, the cylindrical curved surfaces corresponding to the contour lines of the adjacent organs are fused to obtain an integral curved surface, the integral curved surface is smoothed by a weighted Laplace mesh smoothing method, the processing of contour line nesting, multi-branch and non-convex contour polygons is realized, the universality of processing complex contour line three-dimensional reconstruction is realized, the contour line nesting, multi-branch and non-convex contour polygons can be efficiently processed, and the reconstruction efficiency and the reconstruction effect are improved.
Description
Technical Field
The invention belongs to the technical field of contour line three-dimensional reconstruction, and particularly relates to a three-dimensional reconstruction method for a contour line of a complex organ.
Background
Three-dimensional reconstruction of contour lines is always a considerable important problem in medical visualization, three-dimensional medical data can provide intuitive and valuable scientific reference for treatment in clinic, and processing of complex contour lines is always a hot point of research and comprises the difficult-to-process problems of multi-branch, non-cam contour lines, nesting and the like. The first method is an early common contour reconstruction method, and obtains the best connection mode of the triangular patch by calculating the distance between key points of an upper contour and a lower contour. When a complex contour line is processed, a Delaunay triangle splitting method or other interpolation methods are often used, the calculation is often complex, and the generated curved surface has a local sharp or abrupt change. The process is described in detail in the literature "Improved construction of delayed based ligation surfaces" (authors: S.W.Cheng, T.K.De). The second method is to fit a complex region of the contour line by means of fitting an implicit function, and the calculated amount is generally large and cannot be applied to reconstruction of the whole contour line. The method is described in detail in the document "Surface Rendering for Parallel Slices of containers from Medical Imaging" (authors: WANG QIANG, ZHIGENG PAN, etc.). The third is to change the contour line into a point cloud form, and then change the contour line reconstruction into surface fitting of the point cloud, but this way often causes distortion when processing nested contour lines and multi-branch situations. The fourth method is to use a moving cube method (MC method), which can directly process a CT image for three-dimensional Reconstruction after setting a threshold, but often needs to perform preprocessing on a contour line drawn by a doctor manually, and the specific introduction of the method is described in the document "3d Reconstruction of Face from 2D CT Scan Images" (author: t.
The invention aims to provide a three-dimensional reconstruction method of a complex organ contour line, which is used for solving the problems that the existing organ contour line reconstruction process is complex, contour line nesting cannot be processed, multi-branch and non-convex contour polygons have low processing efficiency and poor processing effect.
Disclosure of Invention
The invention aims to provide a three-dimensional reconstruction method of a complex organ contour line, which comprises the steps of preprocessing the organ contour line, and establishing a cylinder curved surface of the organ contour line and a nested contour line thereof; meanwhile, the cylindrical curved surfaces corresponding to the adjacent organ contour lines are fused to obtain an integral curved surface, and the integral curved surface is smoothed by using a weighted Laplace mesh smoothing method, so that the problems that the existing organ contour line reconstruction process is complex, contour line nesting cannot be processed, multi-branch and non-convex contour polygons cannot be processed, the processing efficiency is low, and the processing effect is poor are solved.
In order to solve the technical problems, the invention is realized by the following technical scheme:
the invention relates to a three-dimensional reconstruction method of a complex organ contour line, which comprises the following steps:
s000: preprocessing each input organ contour line;
s001: establishing a corresponding cylinder curved surface for each layer of the organ contour line;
s002: fusing all the cylinder curved surfaces to obtain an integral curved surface;
s003: performing mesh smoothing on the whole curved surface by using a weighted Laplace mesh smoothing method;
wherein the organ contour line is represented by a contour point set E; and points in the contour point set E are line segment end points which form a contour line and are obtained clockwise or anticlockwise.
Preferably, the preprocessing of each organ contour line input in S000 specifically includes the following processes:
a000: screening out two possibly intersected line segments forming the organ contour line by adopting a line segment fast exclusion algorithm;
a001: confirming two intersected line segments in A000 possibly intersected line segments by adopting a line segment straddle experimental algorithm;
a002: deleting the end point of the front line segment and the start point of the rear line segment in the two intersected line segments, and simultaneously deleting all points between the end point of the front line segment and the start point of the rear line segment;
a003: and connecting the starting point of the front line segment and the end point of the rear line segment in the two intersected line segments to form a new line segment to form an organ contour line.
Preferably, the cylinder curved surface generation rule is as follows:
b000: calculating the height h1 between the contour line of the current organ and the contour line of the upper-layer organ;
b001: calculating the height h2 between the current organ contour line and the lower-layer organ contour line;
b002: establishing an upper layer outline polygon with the shape consistent with the shape of the current organ outline at a horizontal plane with the upward height h1/2 from the current organ outline;
b003: establishing a lower-layer contour polygon with the shape consistent with the shape of the current organ contour line at a horizontal plane with a depth h2/2 downwards from the current organ contour line;
b004: connecting the upper layer outline polygon and the lower layer outline polygon to form a cylindrical curved surface;
b005: acquiring the corresponding cylinder curved surface of the embedded organ contour line of the current organ contour line according to the steps from B000 to B004;
and the embedded organ contour line is an organ contour line contained in the current organ contour line.
Preferably, the step of fusing all the cylinder curved surfaces in S002 to obtain an overall curved surface specifically includes the following steps:
c000: confirming the intersecting surface of the curved surfaces of two adjacent cylinders;
c001: respectively obtaining projection polygons of two adjacent cylinders on the intersecting surfaces;
c002: drawing the non-overlapping parts of the two projection polygons into a surface;
if the current organ contour line contains the embedded organ contour line, judging whether an upper layer or a lower layer organ contour line adjacent to the current organ contour line has the embedded organ contour line; if so, fusing the cylinder curved surface corresponding to the embedded organ contour line of the current organ contour line and the cylinder curved surface corresponding to the embedded organ contour line of the upper layer or the lower layer organ contour line according to the steps of C000 to C002; if not, the cylinder curved surface corresponding to the current organ contour line is fused with the cylinder curved surface corresponding to the embedded organ contour line.
Preferably, the mesh smoothing of the whole curved surface by using the weighted laplacian mesh smoothing method in S003 specifically includes the following steps:
defining a surface mesh model M = (V, E, F) comprising n vertices;
wherein, E represents the set of edges in the curved surface mesh model, and the vertex in the curved surface mesh model is N (i) = { j | (i, j) ∈ E } in the Cartesian coordinate;
passing through delta i ＝∑ j∈Ni w ij (v j -v i )＝[∑ j∈Ni w ij v j ]-v i Calculating to obtain a Laplace coordinate after grid smoothing;
wherein the weight w ij Is normalized and employs a distance-weighted approach,
is expressed as
λ is a parameter that controls the degree of shrinkage of the grid.
The invention has the following beneficial effects:
the organ contour lines are preprocessed, and cylinder curved surfaces of the organ contour lines and nested contour lines thereof are established; meanwhile, the cylinder curved surfaces corresponding to the contour lines of the adjacent organs are fused to obtain an integral curved surface, the integral curved surface is smoothed by a weighted Laplace mesh smoothing method, the processing of contour line nesting, multi-branch and non-convex contour polygons is realized, the universality of processing complex contour line three-dimensional reconstruction is realized, the contour line nesting, multi-branch and non-convex contour polygons can be efficiently processed, and the reconstruction efficiency and the reconstruction effect are improved.
Of course, it is not necessary for any product to practice the invention to achieve all of the above-described advantages at the same time.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings used in the description of the embodiments will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art that other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a flow chart of a three-dimensional reconstruction method of a complex organ contour line according to the present invention;
FIG. 2 is a flowchart illustrating the preprocessing of each organ contour line input in S000 according to the present invention;
FIG. 3 is a flow chart of the cylinder surface generation rule of the present invention;
FIG. 4 is a schematic diagram of an organ contour line with non-smooth points according to an embodiment of the present invention;
FIG. 5 is a schematic view of FIG. 4 after eliminating the irregularity;
FIG. 6 is a schematic diagram of an embodiment of the present invention after S000 pre-treatment;
FIG. 7 is a schematic diagram of a cylinder with all cylindrical surfaces fused into a single curved surface according to an embodiment of the present invention;
fig. 8 is a schematic diagram of the overall surface mesh after being smoothed in the embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Referring to fig. 1, the present invention is a method for three-dimensional reconstruction of a complex organ contour line, comprising the following steps:
s000: preprocessing each input organ contour line;
s001: establishing a corresponding cylinder curved surface for each layer of the organ contour line;
s002: fusing all the cylinder curved surfaces to obtain an integral curved surface;
s003: carrying out mesh smoothing on the whole curved surface by using a weighted Laplace mesh smoothing method;
wherein, the organ contour line is represented by a contour point set E; points in the contour point set E are line segment end points which are acquired clockwise or counterclockwise to form a contour line.
Referring to fig. 2 and 4-6, the preprocessing of each organ contour line input in S000 specifically includes the following steps:
a000: screening out two possibly intersected line segments forming the organ contour line by adopting a line segment fast exclusion algorithm;
a001: confirming two intersected line segments in A000 possibly intersected line segments by adopting a line segment straddle experimental algorithm;
a002: deleting the end point of the front line segment and the start point of the rear line segment in the two intersected line segments, and simultaneously deleting all points between the end point of the front line segment and the start point of the rear line segment;
a003: connecting the starting point of the front line segment and the end point of the rear line segment in the two intersected line segments to form a new line segment to form an organ contour line;
in which, if there are points causing local irregularity as in fig. 4, it needs to be eliminated to obtain the result of fig. 5. The contour data thus processed is reconstructed as shown in FIG. 6, which includes multi-branch contours, nested contours, and non-convex polygon contours.
Referring to fig. 3, the cylinder curved surface generation rule is as follows:
b000: calculating the height h1 between the contour line of the current organ and the contour line of the upper-layer organ;
b001: calculating the height h2 between the current organ contour line and the lower-layer organ contour line;
b002: establishing an upper layer outline polygon with the shape consistent with the shape of the current organ outline at a horizontal plane with the upward height h1/2 from the current organ outline;
b003: establishing a lower-layer contour polygon with the shape consistent with the shape of the current organ contour line at a horizontal plane with a depth h2/2 downwards from the current organ contour line;
b004: connecting the upper layer profile polygon with the lower layer profile polygon to form a cylindrical curved surface;
b005: obtaining the corresponding cylinder curved surface of the embedded organ contour line of the current organ contour line according to the steps from B000 to B004;
wherein the embedded organ contour line is an organ contour line contained inside the current organ contour line.
The method for obtaining the integral curved surface by fusing all the cylinder curved surfaces in the S002 specifically comprises the following steps:
c000: confirming the intersecting surface of the curved surfaces of two adjacent cylinders;
c001: respectively obtaining projection polygons of two adjacent cylinders on an intersecting surface;
c002: drawing the non-overlapping parts of the two projected polygons into a surface, and connecting the results by using triangular surfaces as shown in FIG. 7;
if the current organ contour line contains the embedded organ contour line, judging whether an upper layer or a lower layer organ contour line adjacent to the current organ contour line has the embedded organ contour line; if yes, the current organ contour line comprises a cylinder curved surface corresponding to the embedded organ contour line and a cylinder curved surface corresponding to the embedded organ contour line of the upper layer or the lower layer organ contour line, and the cylinder curved surfaces are fused according to the steps of C000 to C002; if not, the cylinder curved surface corresponding to the current organ contour line is fused with the cylinder curved surface corresponding to the embedded organ contour line.
In S003, the mesh smoothing of the entire curved surface by using the weighted laplacian mesh smoothing method specifically includes the following steps:
defining a surface mesh model M = (V, E, F) containing n vertices;
wherein E represents a set of edges in the curved surface mesh model, and the vertex in the curved surface mesh model is N (i) = { j (i, j) ∈ E } in a Cartesian coordinate;
passing through delta i ＝∑ j∈Ni w ij (v j -v i )＝[∑ j∈Ni w ij v j ]-v i Calculating to obtain a Laplace coordinate after grid smoothing;
wherein the weight w ij Is normalized and employs a distance-weighted approach,
is expressed as
λ is a parameter controlling the degree of mesh shrinkage;
specifically, the points constituting the overall curved surface in S002 are read in first, and the set of adjacent points of each point is recorded. Then, traversal is started, a new vector is established for each point, a neighborhood adjacent point set of the new vector is obtained, and then calculation is carried out according to a weighted Laplace grid smoothing algorithm to obtain a new vector of the current point, namely a new position of the new vector. After the traversal is completed, a new three-dimensional curve is obtained as shown in fig. 8.
It should be noted that, in the foregoing system embodiment, each unit included is only divided according to functional logic, but is not limited to the above division as long as the corresponding function can be implemented; in addition, specific names of the functional units are only for convenience of distinguishing from each other, and are not used for limiting the protection scope of the present invention.
In addition, a person skilled in the art can understand that all or part of the steps in the method for implementing the embodiments described above can be implemented by a program to instruct the relevant hardware.
The preferred embodiments of the invention disclosed above are intended to be illustrative only. The preferred embodiments are not intended to be exhaustive or to limit the invention to the precise embodiments disclosed. Obviously, many modifications and variations are possible in light of the above teaching. The embodiments were chosen and described in order to best explain the principles of the invention and the practical application, to thereby enable others skilled in the art to best utilize the invention. The invention is limited only by the claims and their full scope and equivalents.
Claims (2)
1. A three-dimensional reconstruction method for a contour line of a complex organ is characterized by comprising the following steps:
s000: preprocessing each input organ contour line;
s001: establishing a corresponding cylinder curved surface for each layer of the organ contour line;
s002: fusing all the cylinder curved surfaces to obtain an integral curved surface;
s003: carrying out mesh smoothing on the whole curved surface by using a weighted Laplace mesh smoothing method;
wherein the organ contour line is represented by a contour point set E; points in the contour point set E are line segment end points which form a contour line and are obtained clockwise or anticlockwise;
the cylinder curved surface generation rule is as follows:
b000: calculating the height h1 between the contour line of the current organ and the contour line of the upper-layer organ;
b001: calculating the height h2 between the current organ contour line and the lower-layer organ contour line;
b002: establishing an upper layer outline polygon with the shape consistent with the shape of the current organ outline at a horizontal plane with the upward height h1/2 from the current organ outline;
b003: establishing a lower-layer contour polygon with the shape consistent with the shape of the current organ contour line at a horizontal plane with a depth h2/2 downwards from the current organ contour line;
b004: connecting the upper layer outline polygon and the lower layer outline polygon to form a cylindrical curved surface;
b005: acquiring the embedded organ contour line of the current organ contour line according to steps from B000 to B004 to obtain a corresponding cylinder curved surface;
wherein the embedded organ contour line is an organ contour line contained in the current organ contour line;
the step of fusing all the cylinder curved surfaces in the S002 to obtain the integral curved surface specifically comprises the following steps:
c000: confirming the intersecting surface of the curved surfaces of two adjacent cylinders;
c001: respectively obtaining projection polygons of two adjacent cylinders on the intersecting surfaces;
c002: drawing the non-overlapping parts of the two projection polygons into a surface;
if the current organ contour line contains the embedded organ contour line, judging whether an upper layer or a lower layer organ contour line adjacent to the current organ contour line has the embedded organ contour line; if so, fusing the cylinder curved surface corresponding to the embedded organ contour line of the current organ contour line and the cylinder curved surface corresponding to the embedded organ contour line of the upper layer or the lower layer organ contour line according to the steps of C000 to C002; if not, the cylinder curved surface corresponding to the current organ contour line is fused with the cylinder curved surface corresponding to the embedded organ contour line.
2. The method for three-dimensional reconstruction of complex organ contour lines according to claim 1, wherein the preprocessing of each inputted organ contour line in S000 comprises the following steps:
a000: screening out two possibly intersected line segments forming the organ contour line by adopting a line segment fast exclusion algorithm;
a001: confirming two intersected line segments in A000 by adopting a line segment straddle experimental algorithm;
a002: deleting the end point of a front line segment and the start point of a rear line segment in the two intersected line segments, and simultaneously deleting all points between the end point of the front line segment and the start point of the rear line segment;
a003: and connecting the starting point of the front line segment and the end point of the rear line segment in the two intersected line segments to form a new line segment to form an organ contour line.
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