Spherical coordinate index method for medical three-dimensional visualization
A technology of spherical coordinates and spherical coordinate system, which is applied in the field of medical 3D visualization, can solve the problems of slow data processing speed, achieve the effects of saving time, improving visualization speed, and meeting clinical requirements
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example 1
[0029] Example 1, establishment of vector spherical coordinate index
[0030] In the process of 3D visualization based on the principle of ray tracing, the calculation of voxel normal vectors and related items will be involved in the process of image sampling and synthesis. Correspondingly, in the Cartesian coordinate system, the normal vector N of the voxel is given by the following formula:
[0031]
[0032] in
[0033]
[0034] Among them, N(x i ,y j ,z k ) is the normal vector, f(x i ,y j ,z k ) for the point (x i ,y j ,z k ) CT value.
[0035] Since the voxel normal vector is unitized, it can be used in the spherical coordinate system figure 1 The θ and φ angles in are uniquely determined (such as figure 1 shown).
[0036] The θ and φ angles here are figure 1 The azimuth angle in , θ is the angle between the directed line segment and the positive direction of the z-axis; φ is the angle turned counterclockwise from the x-axis when viewed from the positi...
example 2
[0044] Example 2, specific application of vector spherical coordinate index in volume display
[0045] The formula for volume display image synthesis based on ray tracing is given by:
[0046] c out,λ (u,v)=c in,λ (u,v)(1-α(x i ,y j ,z k ))+c λ (x i ,y j ,z k )α(x i ,y j ,z k ) (2.1);
[0047] Among them, c out,λ (u, v) represents the color value when the light leaves the voxel, c in,λ (u, v) represents the color value before the light enters the voxel, α(x i ,y j ,z k ) represents the opacity of the current voxel, c λ (x i ,y j ,z k ) represents the color value of the current voxel.
[0048] The above formula 2.1 only gives the synthetic formula of color and opacity based on the light absorption and emission model. In practical applications, in order to obtain better visualization effects, it is necessary to introduce the corresponding illumination model. In this example, the Phong model is selected. To illustrate the application of vector spherical coor...
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