Zoom-invariant vision of figural shape: the mathematics of cores
Computer Vision and Image Understanding
Zoom-invariant vision of figural shape: effects on cores of image disturbances
Computer Vision and Image Understanding
Segmentation of Medical Image Objects Using Deformable Shape Loci
IPMI '97 Proceedings of the 15th International Conference on Information Processing in Medical Imaging
Marching Cores: A Method for Extracting Cores from 3D Medical Images
MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
Core Atoms and the Spectra of Scale
Core Atoms and the Spectra of Scale
Automated identification and measurement of cardiac anatomy via statistical analysis of medial primitives
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
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We suggest that Identification and measurement of objects in 3D images can be automatic, rapid and stable, based on the statistical properties of populations of medial primitives sought throughout the image space. These properties include scale, orientation, endness, and medial dimensionality. The property of medial dimensionality differentiates the sphere, the cylinder, and the slab, with intermediate dimensionality also possible. Endness results at the cap of a cylinder or the edge of a slab. The values of these medial properties at just a few locations provide an intuitive and robust model for complex shape. For example, the left ventricle during systole can be described as a large cylinder with an apical cap at one end, a slab-like mitral valve at the other (closed during systole), and appropriate interrelations among components in terms of their scale, orientation, and location. We demonstrate our method on simple geometric test objects, and show it capable of automatically identifying the left ventricle and measuring its volume in vivo using Real-Time 3D echocardiography.