Analysis of Implicit Modeling of Complex Geometric Environments

Abstract : 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, tested and currently improving some very ingenious methods for detecting corners, edges and other features inferred by point cloud data sets. These are extremely effective methods that are based upon Lp norms and nonlinear optimization algorithms. 6. Developed Modeling and Visualization Techniques for Comparative Visualization for Wave-based and Geometric Acoustics.