Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Polygonization of implicit surfaces
Computer Aided Geometric Design
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Using particles to sample and control implicit surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Geometric methods for analysis of ridges in n-dimensional images
Geometric methods for analysis of ridges in n-dimensional images
Computation of object cores from grey-level images
Computation of object cores from grey-level images
Optimal surface reconstruction from planar contours
Communications of the ACM
Display of 3-D Digital Images: Computational Foundations and Medical Applications
IEEE Computer Graphics and Applications
IPMI '99 Proceedings of the 16th International Conference on Information Processing in Medical Imaging
Anisotropy creases delineate white matter structure in diffusion tensor MRI
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
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We present an algorithm, called marching cores, that generates cores of 3D medical images and also generalizes to finding implicitly defined manifolds of codimension greater than one. As we march along the core, we use medialness kernels to generate new medialness values and then find ridges in the extended medial space using the geometric definition of height ridges and mathematical models of manifold intersections. Results from both a test image and a CT image illustrate the algorithm.