Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Parametrization of closed surfaces for 3-D shape description
Computer Vision and Image Understanding
Fast, minimum storage ray-triangle intersection
Journal of Graphics Tools
A fast depth-buffer-based voxelization algorithm
Journal of Graphics Tools
Three Dimensional MR-Based Morphometric Comparison of Schizophrenic and Normal Cerebral Ventricles
VBC '96 Proceedings of the 4th International Conference on Visualization in Biomedical Computing
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Both volume and shape of the organs within the brain such as hippocampus indicate their abnormal neurological states such as epilepsy, schizophrenia, and Alzheimer's diseases. This paper proposes a new method for the analysis of hippocampal shape using an integrated Octree-based representation, consisting of meshes, voxels, and skeletons. Initially, we create multi-level meshes by applying the Marching Cube algorithm to the hippocampal region segmented from MR images. Then, we convert the polygonal model to intermediate binary voxel representation by a depth-buffer based voxelization, which makes it easier to extract a 3-D skeleton as well as relate to original MR images. As a similarity measure between the shapes, we compute L2 norm and Hausdorff distance for each sampled mesh by shooting the rays fired from the extracted skeleton. It also allows an interactive analysis because of the octree-based data structure. Moreover, it increases the speed of analysis without degrading accuracy by using a hierarchical level-of-detail approach.