Figure 9
From: Unveiling the third dimension in morphometry with automated quantitative volumetric computations
Shape characterization with Spherical Waves. (Left) Schematic of the geological layers of the Earth, each of which is idealized to have a mean spherical shape but complicated surface features (e.g., mountains and valleys on the outer, or crust, layer). (Right) Schematic of spherical waves fit to each layer consisting of variations in both the radial and angular dimensions. No data was actually fit, and the features size is greatly exaggerated for emphasis. In this example the complexity of the surface is presumed to increase with radius just for illustrative purposes. Only the surfaces of each layer has been “fit” for clarity but in practice a continuum of fits over all radial values is performed.
