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CHARACTERIZATION AND APPLICATION OF QUATERNIONS FOR ENHANCED COMPUTER…

Award Information

Agency:
Department of Defense
Branch:
Air Force
Award ID:
6046
Program Year/Program:
1988 / SBIR
Agency Tracking Number:
6046
Solicitation Year:
N/A
Solicitation Topic Code:
N/A
Solicitation Number:
N/A
Small Business Information
Kuipers & Associates
3085 Baker Park Dr Se Grand Rapids, MI 49508
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Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No
 
Phase 2
Fiscal Year: 1988
Title: CHARACTERIZATION AND APPLICATION OF QUATERNIONS FOR ENHANCED COMPUTER PROCESSING ALGORITHMS
Agency / Branch: DOD / USAF
Contract: N/A
Award Amount: $190,000.00
 

Abstract:

THE QUATERNION OPERATOR HAS LONG BEEN REGARDED AS AN EFFICIENT ROTATION OPERATOR BUT ONE THAT IS NOT WELL KNOWN IN THE PRACTICING AEROSPACE ENGINEERING COMMUNITY. SO, FIRST WE METRICIZE 'HOW MUCH BETTER' THE QUATERNION OPERATOR ACTUALLY IS FOR A VARIETY OF APPLICATIONS. THEN, A PLAN FOR RIGOROUSLY INTRODUCING QUATERNION ALGEBRA AND QUATERNION CALCULUS IS PRESENTED. THIS PLAN EXPLOITS THE INTRINSIC GEOMETRIC PROPERTIES OF THE QUATERNION OPERATOR IN ORDER TO ACHIEVE AN ENGAGING 'DO-IT-YOURSELF' PEDAGOGY. LIBERAL USE OF PICTORIAL REPRESENTATIONS OF THIS GEOMETRY AND ALSO OF THE VARIOUS APPLICATIONS WILL APPEAL TO THE INTUITION AND HENCE MAKE THE QUATERNION OPERATOR EASIER TO UNDERSTAND AND MORE READILY ACCESSIBLE TO ALL PRACTITIONERS.

Principal Investigator:

Jack Kuipers
6169576404

Business Contact:

Small Business Information at Submission:

Kuipers & Associates
3085 Baker Park Dr Se Grand Rapids, MI 49508

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