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(12) PATENT APPLICATION PUBLICATION
(19) INDIA (21) Application No.: 00884/KOLNP/2005 A
(22) Date of filing of Application: 13/05/2005 (43) Publication Date: 09/06/2006
(54) Title of the invention: ANALYSIS OF GEOMETRIC SURFACES BY CONFORMAL STRUCTURE
(51) International classification : G06F
(31) Priority Document No : 60/424,141
(32) Priority Date : 06/11/2002
(33) Name of priority country : US
(86) International Application No and : PCT/US03/035395
Filing Date
: 06/11/2003
(87) International Publication No : WO 04/044689 A2
(61) Patent of addition to Application No : NIL
Filed on : N.A.
(62) Divisional to Application No : NIL
Filed on : N.A.
(57) Abstract:
(71) Name of Applicant:
GEOMETRIC INFORMATICS INC
Address of the Applicant:
387 SOMERVILLE AVE SOMERVILLE
MASSACHUSETTS 02143 USA
(72) Name of the Inventor:
1. YAU SHING-TUNG
2. GU XIANFENG
3. WANG YALIN
Filed U/S 5(2) before The Patents (Amendment)
Act, 2005: NO
A method for analyzing, classifying, and recognizing geometric surfaces is disclosed. Geometric surfaces are treated as Riemann
manifolds and the conformal structure corresponding to the surfaces is calculated. The conformal structure of the surface contains the
intrinsic geometric information about the surface, but in a much more compact format as compared to other representations. Conformally
mapping the surface to a canonical parameter domain, such as a disk, sphere, or plane retains the geometric information of the surface,
and renders the calculation of conformal structure much easier. Various applications enabled by such a conformal representation include
surface matching, surface cataloging, surface recognition, animation and morphing between surfaces, and other mathematical analysis.
(FIG. -1A)
The Patent Office Journal 09/06/2006 11041