Volumetric rendering of image data

A computing system, comprising:

• a computer readable storage medium, including one or more instructions corresponding to at least one volume rendering algorithm;
• and
• one or more processors configured to execute the one or more instructions to;
• obtain image data generated by an imaging system;
• generate data indicative of a degree to which each of a plurality of voxels of the image data corresponds to one or more predetermined geometrical features, wherein each geometrical feature is assigned a different color, the one or more geometrical features includes at least one of blobness and tubularness, and a given voxel of the image data has a degree of blobness and a degree of tubularness;
• estimate a quadric for each of the plurality of voxels, wherein the quadric includes a matrix of coefficients;
• determine eigenvalues of the quadrics, based on the matrix of coefficients, including three eigenvalues, first, second and third eigenvalues;
• determine the degree for the voxels based on the eigenvalues, wherein a degree of blobness is determined as product of the second eigenvalue and a ratio of second eigenvalue to the first eigenvalue, and a degree of tubularness is determined as a product of the third eigenvalue and a ratio of third eigenvalue to the second eigenvalue;
• generate a signal indicative of a single color value for each of the plurality of voxels based on the degree and the colors;
• generate a volumetric rending of the image data based on the signal;
• generate a link between voxels of the volumetric rendering and voxels of the image data;
• and
• visually present the image data and the volumetric rendering concurrently.

A computing readable storage medium encoded with computer readable instructions, which, when executed by one or more processors of a computing system, cause the computing system to:

• obtain image data generated by an imaging system;
• generate data indicative of a degree to which each of a plurality of voxels of the image data corresponds to one or more predetermined geometrical features, wherein each geometrical feature is assigned a different color, the one or more geometrical features includes at least, one of blobness and tubularness, and a given voxel of the image data has a degree of blobness and a degree of tubularness;
• estimate a quadric for each of the plurality of voxels, wherein the quadric includes a matrix of coefficients;
• determine eigenvalues of the quadrics, based on the matrix of coefficients, including three eigenvalues, first, second and third eigenvalues;
• disregarding an eigenvalue of the three eigenvalues with the highest value;
• evaluating the remaining two eigenvalues to determine whether a voxel represents a non-zero value or a value of zero;
• determine the degree for the voxels based on the eigenvalues;
• generate a signal indicative of a single color value for each of the plurality of voxels based on the degree and the colors;
• generate a volumetric rending of the image data based on the signal;
• generate a link between voxels of the volumetric, rendering and voxels of the image data;
• and
• visually present the image data and the volumetric rendering concurrently.