System and method for generating a low discrepancy curve on...

Image analysis – Applications – Manufacturing or product inspection

Reexamination Certificate

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

C382S203000, C382S285000, C345S421000, C345S442000

Reexamination Certificate

active

06909801

ABSTRACT:
A system and method for generating a curve, such as a Low Discrepancy Curve, on a surface, such as an abstract surface with a Riemannian metric. The system may comprise a computer which includes a CPU and a memory medium which is operable to store one or more programs executable by the CPU to perform the method. The method may: 1) parameterize the surface; 2) select a curve, such as a Low Discrepancy Curve, in a parameter space, for example, a simple space such as a unit square; 3) re-parameterize the surface, for example, re-parameterize the surface such that a ratio of line and area elements of the surface based on a Riemannian metric is constant; and 4) map the curve onto the surface using the re-parameterization. The method may also generate output comprising information regarding the mapped curve, for example, displaying the mapped curve on a display device.

REFERENCES:
patent: 4740079 (1988-04-01), Koizumi et al.
patent: 5268998 (1993-12-01), Simpson
patent: 5378915 (1995-01-01), Hines et al.
patent: 5559901 (1996-09-01), Lobregt
patent: 5722405 (1998-03-01), Goldberg
patent: 5754180 (1998-05-01), Kivolowitz et al.
patent: 5790442 (1998-08-01), Ninomiya et al.
patent: 5797396 (1998-08-01), Geiser et al.
patent: 5805783 (1998-09-01), Ellson et al.
patent: 5815596 (1998-09-01), Ahuja et al.
patent: 5903458 (1999-05-01), Stewart et al.
patent: 6023680 (2000-02-01), Wooster et al.
patent: 6031932 (2000-02-01), Bronstein et al.
patent: 6100893 (2000-08-01), Ensz et al.
patent: 6124858 (2000-09-01), Ge et al.
patent: 6175644 (2001-01-01), Scola et al.
patent: 6175652 (2001-01-01), Jacobson et al.
patent: 6192293 (2001-02-01), Yamada et al.
patent: 6229921 (2001-05-01), Wenzel et al.
patent: 6271856 (2001-08-01), Krishnamurthy
patent: 6370270 (2002-04-01), Nair et al.
patent: 6510244 (2003-01-01), Proesmans et al.
patent: 6514082 (2003-02-01), Kaufman et al.
patent: 6529193 (2003-03-01), Herken et al.
patent: 6563906 (2003-05-01), Hussein et al.
patent: 6639597 (2003-10-01), Zwicker et al.
patent: 6639685 (2003-10-01), Gu et al.
patent: 6643533 (2003-11-01), Knoplioch et al.
patent: 6690474 (2004-02-01), Shirley
patent: 6697497 (2004-02-01), Jensen et al.
patent: 6724930 (2004-04-01), Kosaka et al.
patent: 2002/0141645 (2002-10-01), Rajagopal et al.
“Numerical Recipes in Fortran 77: The Art of Scientific Computing” (ISBN 0-521-436064-X) pp. 299-306, Copyright 1986-1992.
Davies, T.J.G. and R.R. Martin, “Low-discrepancy sequences for volume properties in solid modeling,” CSG'98, 1998.

LandOfFree

Say what you really think

Search LandOfFree.com for the USA inventors and patents. Rate them and share your experience with other people.

Rating

System and method for generating a low discrepancy curve on... 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 for generating a low discrepancy curve on..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and System and method for generating a low discrepancy curve on... will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFUS-PAI-O-3477586

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.