Accession Number : ADA311414

Title :   Surface Modeling and Fast PDE Solvers in Manufacturing: An Integrated Approach

Descriptive Note : Final rept. 4 Dec 92-30 Nov 95,

Corporate Author : SOUTH CAROLINA UNIV COLUMBIA DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s) : Jawerth, Bjorn

PDF Url : ADA311414

Report Date : 03 FEB 1996

Pagination or Media Count : 15

Abstract : The activities under this grant fall in three main categories: laboratory set-up and calibration studies, interface software and image feature algorithms, and theoretical investigations of PDEs and algorithm development. As part of the Laboratory Analysis we have been comparing two techniques for contact free measuring, feature-based monocular and stereo. Calibration and spatial resolution have been studied as part of obtaining an effective stereo measurement system. The development of interface software has focused on obtaining object recognition problems and have employed Differential Geometric Techniques. Algorithms and data structures have been obtained which are particularly well suited for extracting fundamental geometric quantities such as principal curvatures, normal fields, etc. The theoretical analysis has resulted in significant progress in several different directions including a deep understanding of Maxwell's equations on nonsmooth domains, wavelet analysis on nonsmooth sets and on surfaces, improved performance of smooth local trigonometric bases, numerical solutions of PDEs using wavelet techniques, sensor fusion based on wavelets, and interactive visual design and surface modeling based on wavelets.

Descriptors :   *ALGORITHMS, *SOFTWARE ENGINEERING, *MATHEMATICAL PROGRAMMING, DATA BASES, MATHEMATICAL MODELS, SIGNAL PROCESSING, IMAGE PROCESSING, OPTIMIZATION, COMPUTER AIDED DESIGN, DISTRIBUTED DATA PROCESSING, ROBOTS, RESOLUTION, BOUNDARY VALUE PROBLEMS, INTERPOLATION, PATTERN RECOGNITION, SYSTEMS ANALYSIS, CALIBRATION, DATA FUSION, COMPUTER AIDED MANUFACTURING, DATA COMPRESSION, MAXWELLS EQUATIONS, HELMHOLTZ EQUATIONS.

Subject Categories : Operations Research
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE