Practical fast mesh-free analysis

Details Practical fast mesh-free analysis Practical fast mesh-free analysis

2006-02-10

2010-02-09

Bali, Vikkram (Department: 2624)

Image analysis

Image enhancement or restoration

Image filter

C703S002000, C703S022000, C703S023000, C703S024000, C703S025000, C703S026000, C703S027000, C703S028000, C345S419000, C345S423000, C345S420000

Reexamination Certificate

active

07660480

ABSTRACT:
A two-level transformation scheme to enable a practical fast mesh-free method is disclosed. The first level transformation transforms the original chosen mesh-free shape function to a first transformed mesh-free shape function that preserves Kronecker delta properties. The first transformed mesh-free function allows the essential boundary conditions to be imposed directly. The second-level transformation scheme employs a low pass filter function served as a regularization process that filters out the higher-order terms in the monomial mesh-free approximation obtained from the first-level transformation scheme with desired consistency and completeness conditions. This integration scheme requires only a low-order integration rule comparing to the high order integration rule used in the traditional mesh-free methods. The present invention simplifies the boundary condition treatments and avoids the usage of high-order integration rule and therefore is more practical than the traditional mesh-free methods.

REFERENCES:
patent: 6718291 (2004-04-01), Shapiro et al.
patent: 6987511 (2006-01-01), Taubin
patent: 7499050 (2009-03-01), Wu et al.
patent: 7616204 (2009-11-01), Muller et al.
patent: 2003/0005007 (2003-01-01), Neretti et al.
patent: 2004/0071363 (2004-04-01), Kouri et al.
patent: 2006/0109163 (2006-05-01), Cho et al.
patent: 2006/0149513 (2006-07-01), Yoon
patent: 2007/0185694 (2007-08-01), Rousselier et al.
patent: 2007/0276709 (2007-11-01), Trimby et al.
Meagher “Efficient Synthetic Image Generationof Arbitrary 3-D Objects”, 1982 IEEE, pp. 473-478.
USPTO—1st Office Action mailed Jun. 28, 2007 (U.S. Appl. No. 10/990,003).
Applicant's Response to the 1st Office Action (U.S. Appl. No. 10/990,003) Sep. 19, 2007.
Muller et al., “Point Based Animation of Elastic, Plastic and Melting Objects”, 2004, SCM Eurographics, pp. 141-151.
USPTO—2nd Office Action mailed Nov. 30, 2007 (U.S. Appl. No. 10/990,003).
Applicant's Response to the 2nd Office Action (U.S. Appl. No. 10/990,003) Dec. 6, 2007.
USPTO—Office Action mailed Jan. 14, 2008 (U.S. Appl. No. 11/383,135).
Applicant's Response to the Office Action (U.S. Appl. No. 11/383,135) Jan. 16, 2008.
USPTO—Notice of Allowability mailed Apr. 21, 2008 (U.S. Appl. No. 11/383,135).

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