Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression
Reexamination Certificate
2008-09-23
2008-09-23
Rodriguez, Paul L (Department: 2123)
Data processing: structural design, modeling, simulation, and em
Modeling by mathematical expression
C701S213000, C702S005000
Reexamination Certificate
active
10213157
ABSTRACT:
Described are a method and system for describing a position of an entity in a three-dimensional coordinate system with respect to the reference model. The reference model is of a three-dimensional curved surface defined in the three-dimensional coordinate system. The three-dimensional curved surface is divided into a set of cells. Each cell is a subset of the three-dimensional curved surface and has a curved surface. A three-dimensional curvilinear coordinate system is defined for each cell in the set of cells. The three-dimensional curvilinear coordinate system for each cell has a curvilinear axis that extends along the curved surface of that cell.
REFERENCES:
patent: 6106561 (2000-08-01), Farmer
Carson, George S. “Spatial Standardization.” ACM SIGGRAPH Computer Graphics. Aug. 2000. vol. 34, Issue 3, pp. 38-41.
Carson, George S. “Standards Pipeline: Work with the SEDRIS Organization Begins.” ACM SIGGRAPH Computer Graphics. Feb. 2000. vol. 34, Issue 1, pp. 35-36.
Fries, Michael. “Multi-dimensional Reactive Elements on Curvilinear Coordinate Systems and Their MDWDF Discretization”. 1994 IEEE Int'l Conf. on Acoustics, Speech, and Signal Processing (ICASSP-94). Apr. 1994. vol. 6, pp. VI/9 to VI/12.
NCGIA Core Curriculum 1990 Version (Last Updated: Aug. 30, 1997). Table of Contents. http://geog.ubc.ca/courses/klink/gis.notes
cgia/toc.html.
NCGIA Core Curriculum 1990 Version (Last Updated: Aug. 30, 1997). “Unit 1—What is GIS?”. http://geog.ubc.ca/courses/klink/gis.notes
cgia/u01.html.
NCGIA Core Curriculum 1990 Version (Last Updated: Aug. 30, 1997). “Unit 26—General Coordinate Systems”. http://geog.ubc.ca/courses/klink/gis.notes
cgia/u26.html.
NCGIA Core Curriculum 1990 Version (Last Updated: Aug. 30, 1997). “Unit 27—Map Projections”. http://geog.ubc.ca/courses/klink/gis.notes
cgia/u27.html.
NCGIA Core Curriculum 1990 Version (Last Updated: Aug. 30, 1997). “Unit 28—Affine and Curvilinear Transformations”. http://geog.ubc.ca/courses/klink/gis.notes
cgia/u28.html.
Prassler, E.A. and E.E. Milios. “Position Estimation Using Equidistance Lines.” 1995 IEEE Int'l Conf. on Robotics and Automation. May 21-27, 1995. vol. 1, pp. 85-92.
Iwatsuki, M. and Okiyama, N. “Preferential Direction Control for Visual Servoing Based on Orthogonal Curvilinear Coordinate Systems.” 2003 IEEE/RSJ Int'l Conf. on Intelligent Robots and Systems (IROS 2003). Oct. 27-31, 2003. vol. 1, pp. 761-766.
Zayer, R. et al. “Curvilinear Spherical Parameterization.” IEEE Int'l Conf. on Shape Modeling and Applications (SMI 2006). Jun. 14-16, 2006.
Ferguson W.I. et al. “The Construction of Curvilinear CO-ordinate Grid Systems for Reservoir Simulation.” (Abstract Only). European Petroleum Conf,, Oct. 20-22, 1986. Available at: http://www.spe.org.
Thomas, P.D. and Whitney, A.K. “Numerical Generation of 3D Curvilinear Coordinate Systems and Computational Grids for Aircraft Configurations.” (Abstract Only). Mar. 1985. Available at: http://stinet.dtic.mil.
Lee, S. and Soni, B. “Governing Equations of Fluid Mechanics in Physical Curvilinear Coordinate System.” Differential Equations and Computational Simulations III. Published Nov. 12, 1998. pp. 149-157.
Weisstein, E.W. “Curvilinear Coordinates.” From MathWord—A Wolfram Web Resource. http://mathworld.wolfram.com/CurvilinearCoordinates.html. Last Modified: Sep. 25, 2003.
Jones, A. “Where in the World are We?” Resource Information Group, Dept. for Environment, Heritage and Aboriginal Affairs, Government of South Australia. Aug. 1999. http://www.environment.sa.gov.au/mapland/sicom/pdfs/gda94.pdf.
Birkel, “Sedris Geospatial Reference Model,” Jul. 10, 1997, pp. 1-45.
Toms et al., “Choosing a Coordinate Framework for Simulations,” pp. 1-10, 1999.
Toms et al., “SEDRIS Coordinate Transformation Services,” pp. 1-11, Nov. 1998.
Toms, “Efficient Procedures for Geodetic Transformations,” May 1998, pp. 1-13.
Jacob Mary C
Rodriguez Paul L
Yasumi Capital, LLC
LandOfFree
System and method of simulating with respect to spheroid... does not yet have a rating. At this time, there are no reviews or comments for this patent.
If you have personal experience with System and method of simulating with respect to spheroid..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and System and method of simulating with respect to spheroid... will most certainly appreciate the feedback.
Profile ID: LFUS-PAI-O-3937958