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A SPECIALIZED NEURAL NETWORK BASED ON LIE GROUP THEORY FOR EXTRACTING 3D MOTION…

Award Information

Agency:
Department of Defense
Branch:
Air Force
Award ID:
8792
Program Year/Program:
1988 / SBIR
Agency Tracking Number:
8792
Solicitation Year:
N/A
Solicitation Topic Code:
N/A
Solicitation Number:
N/A
Small Business Information
LNK CORP., INC.
6811 Kenilworth Avenue, Suite 306 Riverdale, MD 20737
View profile »
Woman-Owned: No
Minority-Owned: Yes
HUBZone-Owned: No
 
Phase 1
Fiscal Year: 1988
Title: A SPECIALIZED NEURAL NETWORK BASED ON LIE GROUP THEORY FOR EXTRACTING 3D MOTION AND 3D LAYOUT OF VISIBLE SURFACES
Agency / Branch: DOD / USAF
Contract: N/A
Award Amount: $80,000.00
 

Abstract:

SIMILARITY DEFINED THROUGH ABSTRACTION AND GENERALIZATION IS DIFFERENT FROM SIMILARITY UNDER TRANSFORMATION GROUPS. IN THEIR EARLY WORK TITLE "HOW TO KNOW UNIVERSALS", MCCULLOCH AND PITTS STUDIED NEURAL NETWORKS WHICH RECOGNIZED UNIVERSALS, I.E., FEATURES INVARIANT UNDER GEOMETRIC TRANSFORMATIONS. MUCH WORK HAS BEEN DONE IN RECENT YEARS ON NEURAL NETWORKS FOR ABSTRACTION AND GENERALIZATION BUT LITTLE ATTENTION HAS BEEN PAID TO INVARIANCE UNDER TRANSFORMATIONS, AS ASPECT WHICH IS IMPORTANT FOR DYNAMIC SCENE ANALYSIS. PITTS AND MCCULLOCH EXPLORED THE MECHANISM OF PERFORMING TRANSOFRMATIONS FROM CERTAIN TRANSFORMATION GROUPS IN ORDER TO EXTRACT "UNIVERSALS". HOWEVER, THEY DID NOT USE THE CONCEPT OF "ORIMITIVE OPERATION". ALL THE TRANSFORMATIONS FROM THE GROUP ARE EQUALLY IMPLEMENTED, AND THE NUMBER OF GEOMETRIC TRANSFORMATIONS IS VERY LARGE. USING LIE GROUP AND LIE ALGEBRA THEORY, WE PROPOSE A NEURAL NETWORK WHICH IMPLEMENTS THE LIE TRANSFORMATION GROUP VIA A FEW PRIMITIVE OPERATIONS CALLED ATOMIC TRANSFORMATIONS (I.E., GENERATORS OF THE DISCRETIZED LIE GROUP) THUS AVOIDING THE INTRACTABILITY OF PITTS AND MCCULLOCH'S NEURAL NETWORKS. DUE TO THE ONE-TO-ONE CORRESPONDENCE BETWEEN 3D RIGID MOTION AND THE INDUCED COHERENT IMAGE TRANSFORMATIONS, THIS NEURAL NETWORK IS CAPABLE OF PICKING UP 3D MOTION AND ED LOCATION PARAMETERS.

Principal Investigator:

Dr thomas tsao
3019273223

Business Contact:

Small Business Information at Submission:

L N K Corp
6811 Kenilworth Ave - Ste 306 Riverdale, MD 20737

EIN/Tax ID:
DUNS: N/A
Number of Employees:
Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No