Methods and systems for segmented volume rendering

1. A method for visualizing using a rendering technique in which voxels are sampled along a ray through a volume, the method comprising:

obtaining voxel data;

modifying a first portion of the voxel data, the first portion of the voxel data associated with a first segmentation mask, the modifying including,

setting the first portion of the voxel data to a uniform value, the uniform value being within a plurality of permitted voxel values, the setting including,

determining the plurality of permitted voxel values, and

determining the uniform value as the largest value within the plurality of permitted voxel values;

applying a set of operators to the modified first portion of the voxel data and a remaining portion of the voxel data; and

displaying the volume based on the applied set of operators.

2. The method of claim 1 , wherein an opacity function generates an opacity of zero for all voxel values in the plurality of permitted voxel values such that for each element of the plurality of permitted voxel values the opacity is zero and an opacity for all values smaller than the element are also zero.

3. The method of claim 1 , wherein the applying includes,

determining a color function of the ray among an initial color function and a modified color function, the modified color function associated with the uniform value;

determining an opacity function of the ray among an initial opacity function and a modified opacity function, the modified opacity function associated with the uniform value,

the determined color function being the modified color function when an opacity at an arc length is less using the modified opacity function than an opacity at the arc length using the initial opacity function,

the determined opacity function being the modified opacity function when the opacity at the arc length is less using the modified opacity function than the opacity at the arc length using the initial opacity function; and

applying the determined color function and the determined opacity function to the voxel data.

4. The method of claim 3 , wherein the determined color function represents color values over intervals of the ray, respectively, and the determined opacity function represents opacity values over the intervals, respectively, of the ray.

5. The method of claim 3 , wherein the determining the color function includes,

obtaining the color values and the opacity values from a preintegration table.

6. The method of claim 5 , wherein

W p ={w|a p ( x,x )=0∀ x≤w};

w opt =max( W p )

where x is a voxel value, a p (x,x) is an opacity value in the preintegration table where a start and an end of an interval is associated with the voxel value and w opt is the uniform value.

7. The method of claim 1 , further comprising:

determining a boundary using a binary optimization mask.

8. The method of claim 1 , further comprising:

second modifying a second portion of the voxel data, the second portion of the voxel data associated with a second segmentation mask, the second modifying including,

setting the second portion of the voxel data to a second uniform value; and

applying the set of operators to the modified second portion of the voxel data and the first portion of the voxel data, wherein the displaying displays the volume based on the applied set of operators to the modified first portion of the voxel data and the applied set of operators to the modified second portion of the voxel data.

9. The method of claim 8 , wherein the setting the second portion of the voxel data includes,

determining a set of permitted values for the second uniform value; and

determining the second uniform value as the largest value within the set of permitted values.

10. The method of claim 1 , wherein the at least one of the plurality of permitted voxel values is an optimized value.

11. The method of claim 1 , wherein the first segmentation mask is a first show mask, the method further comprising:

modifying a second portion of the voxel data, the second portion of the voxel data associated with a second show mask, the modifying including,

setting the second portion of the voxel data to at least one of a second plurality of permitted voxel values;

applying the set of operators to the modified second portion of the voxel data and the voxel data excluding the modified second portion; and

displaying the volume based on the applied set of operators.

12. A system for visualizing a volume, the system comprising:

a memory storing computer-readable instructions; and

at least one processor configured to execute the computer-readable instructions to cause the system to,

obtain voxel data,

modify a first portion of the voxel data, the first portion of the voxel data associated with a first segmentation mask, by

setting the first portion of the voxel data to a uniform value, the uniform value being within a plurality of permitted voxel values, by

determining the plurality of permitted voxel values, and

determining the uniform value as the largest value within the plurality of permitted voxel values,

apply a set of operators to the modified first portion of the voxel data and a remaining portion of the voxel data, and

display the volume based on the applied set of operators.

13. The system of claim 12 , wherein an opacity function generates an opacity of zero for all voxel values in the plurality of permitted voxel values such that for each element of the plurality of permitted voxel values the opacity is zero and an opacity for all values smaller than the element are also zero.

14. The system of claim 12 , wherein the at least one processor is configured to execute the computer-readable instructions to cause the system to,

determine a color function of a ray among an initial color function and a modified color function, the modified color function associated with the uniform value;

determine an opacity function of a ray among an initial opacity function and a modified opacity function, the modified opacity function associated with the uniform value,

the determined color function being the modified color function when an opacity at an arc length is less using the modified opacity function than an opacity at the arc length using the initial opacity function,

the determined opacity function being the modified opacity function when the opacity at the arc length is less using the modified opacity function than the opacity at the arc length using the initial opacity function; and

apply the determined color function and the determined opacity function to the voxel data.

15. The system of claim 14 , wherein the determined color function represents color values over intervals of the ray, respectively, and the determined opacity function represents opacity values over the intervals, respectively, of the ray.

16. The system of claim 14 , wherein the at least one processor is configured to execute the computer-readable instructions to cause the system to determine a boundary using a binary optimization mask.

17. The system of claim 12 , wherein the at least one processor is configured to execute the computer-readable instructions to cause the system to,

modify a second portion of the voxel data by setting the second portion of the voxel data to a second uniform value, the second portion of the voxel data associated with a second segmentation mask; and

apply the set of operators to the modified second portion of the voxel data and the first portion of the voxel data, wherein the at least one processor is configured to execute the computer-readable instructions to display the volume based on the applied set of operators to the modified first portion of the voxel data and the applied set of operators to the modified second portion of the voxel data.

18. The system of claim 12 , wherein the at least one of the plurality of permitted voxel values is an optimized value.

19. The system of claim 12 , wherein the first segmentation mask is a first show mask and the at least one processor is configured to execute the computer-readable instructions to cause the system to,

modify a second portion of the voxel data by setting the second portion of the voxel data to at least one of a second plurality of permitted voxel values, the second portion of the voxel data associated with a second show mask;

apply the set of operators to the modified second portion of the voxel data and the voxel data excluding the modified second portion; and

display the volume based on the applied set of operators.

20. A non-transitory computer-readable medium, when executed by at least one processor, configured to cause the at least one processor to,

obtain voxel data;

modify a first portion of the voxel data, the first portion of the voxel data associated with a first segmentation mask, by

setting the first portion of the voxel data to a uniform value, the uniform value being within a plurality of permitted voxel values, by

determining the plurality of permitted voxel values, and

determining the uniform value as the largest value within the plurality of permitted voxel values;

apply a set of operators to the modified first portion of the voxel data and a remaining portion of the voxel data; and

display a volume based on the applied set of operators.