Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
A survey of thresholding techniques
Computer Vision, Graphics, and Image Processing
A Spatial Thresholding Method for Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
On representation of a shape's skeleton
Pattern Recognition Letters
Building skeleton models via 3-D medial surface/axis thinning algorithms
CVGIP: Graphical Models and Image Processing
Image Thresholding by Indicator Kriging
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recongnition and separation of discrete objects with in complex 3D voxelized structures
Computers & Geosciences - Special issue on three-dimensional reconstruction, modelling and visualization of geologic materials
A throat finding algorithm for medial axis analysis of three-dimensional images of vesiculated basalts
Computational Geometry: Algorithms and Applications
Computational Geometry: Algorithms and Applications
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We present a high resolution study of the void space geometry of vesiculated basaltic bombs (porosities in the range 60-80%) from three dimensional digitized images obtained by synchrotron X-ray tomography. The void space is composed of vesicles, the solidified remnants of expanding gas bubbles. Coalescence between bubbles complicates the identification of individual vesicles. Under the assumption that coalescence between two bubbles results in a well defined waist configuration (or throat) between the two resulting vesicles, we present an algorithm to locate the waist-spanning ''contact surface'' which conceptually separates each pair of coalesced vesicles. With contact surfaces identified, individual vesicles are isolated and analysis of their geometry and connectivity can be investigated. We present results for the distributions of vesicle volume, contact surface area and vesicle coordination number (the number of neighbors with which a vesicle has coalesced). We find that distribution for contact surface area is log-normal; the distribution for coordination number is a power-law; and the distribution of vesicle volumes is at least bi-modal.