Computer aided surface representation
Abstract
The aims of this research are the creation of new surface forms and the determination of geometric and physical properties of surfaces. The full sweep from constructive mathematics through the implementation of algorithms and the interactive computer graphics display of surfaces is utilized. Both three-dimensional and multi- dimensional surfaces are considered. Particular emphasis is given to the scientific computing solution of Department of Energy problems. The methods that we have developed and that we are proposing to develop allow applications such as: Producing smooth contour maps from measured data, such as weather maps. Modeling the heat distribution inside a furnace from sample measurements. Terrain modeling based on satellite pictures. The investigation of new surface forms includes the topics of triangular interpolants, multivariate interpolation, surfaces defined on surfaces and monotone and/or convex surfaces. The geometric and physical properties considered include contours, the intersection of surfaces, curvatures as a interrogation tool, and numerical integration.
- Authors:
- Publication Date:
- Research Org.:
- Arizona State Univ., Tempe, AZ (United States). Dept. of Computer Science
- Sponsoring Org.:
- USDOE, Washington, DC (United States)
- OSTI Identifier:
- 5933712
- Report Number(s):
- DOE/ER/25041-1
ON: DE92005572
- DOE Contract Number:
- FG02-87ER25041
- Resource Type:
- Technical Report
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; SURFACES; COMPUTER-AIDED DESIGN; ALGORITHMS; COMPUTERIZED SIMULATION; INTERACTIVE DISPLAY DEVICES; INTERPOLATION; COMPUTER OUTPUT DEVICES; COMPUTER-GRAPHICS DEVICES; DESIGN; DISPLAY DEVICES; MATHEMATICAL LOGIC; NUMERICAL SOLUTION; SIMULATION; 990200* - Mathematics & Computers
Citation Formats
Barnhill, R E. Computer aided surface representation. United States: N. p., 1987.
Web. doi:10.2172/5933712.
Barnhill, R E. Computer aided surface representation. United States. https://doi.org/10.2172/5933712
Barnhill, R E. 1987.
"Computer aided surface representation". United States. https://doi.org/10.2172/5933712. https://www.osti.gov/servlets/purl/5933712.
@article{osti_5933712,
title = {Computer aided surface representation},
author = {Barnhill, R E},
abstractNote = {The aims of this research are the creation of new surface forms and the determination of geometric and physical properties of surfaces. The full sweep from constructive mathematics through the implementation of algorithms and the interactive computer graphics display of surfaces is utilized. Both three-dimensional and multi- dimensional surfaces are considered. Particular emphasis is given to the scientific computing solution of Department of Energy problems. The methods that we have developed and that we are proposing to develop allow applications such as: Producing smooth contour maps from measured data, such as weather maps. Modeling the heat distribution inside a furnace from sample measurements. Terrain modeling based on satellite pictures. The investigation of new surface forms includes the topics of triangular interpolants, multivariate interpolation, surfaces defined on surfaces and monotone and/or convex surfaces. The geometric and physical properties considered include contours, the intersection of surfaces, curvatures as a interrogation tool, and numerical integration.},
doi = {10.2172/5933712},
url = {https://www.osti.gov/biblio/5933712},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Nov 01 00:00:00 EST 1987},
month = {Sun Nov 01 00:00:00 EST 1987}
}