We describe some new methods for obtaining a mathematical representation of a surface that approximates a scattered point cloud, {(x y z ) i N} i i i , , = 1,L, without the use or need of normal vector data. The fitting surface is defined implicitly as the level set of a field function which is a linear combination of trivariate radial basis functions. Optimal approximations are based upon ...
1. Developed methods for extracting mathematical surface description of urban/terrain implicitly defined from scattered point cloud data obtained from scanners and other detecting devices 2. Developed methods for parameterizing surfaces representing urban/terrain environments which are implicitly modeled. 3. Developed a custom software environment for simulating scanner output producing point cloud data sets. 4. Developed and analyzed adaptive, implicit mathematical methods for modeling data scanned from complex geometric environment. 5. Developed, ...
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