APPLICATION OF FRACTALS TO SMOOTHING OVER THE PARAMETER SPACE

Period of Performance: 01/01/1990 - 12/31/1990

$50K

Phase 1 SBIR

Recipient Firm

Technology International, Inc.
429 West Airline Highway Suite S
LaPlace, LA 70068
Principal Investigator
Firm POC

Abstract

TECHNOLOGY INTERNATIONAL INCORPORATED (TII) PROPOSES THE USE OF FRACTALS GEOMETRY FOR SMOOTHING SPATIALLY ORIENTED DATA SETS OVER THE PARAMETER SPACE. THE IMPLEMENTATION ALGORITHM WOULD BE CAPABLE OF SPATIAL AUTO-CORRELATION AMONG RANDOM TIME SAMPLES DISTRIBUTED OVER A GIVEN GEOGRAPHICAL LOCATION. ITERATION METHODS WILL BE EMPLOYED TO DEVELOP A GRAPHICAL COMPUTER CODE WHICH CAN BE EMPLOYED BY NASA-SSC AS A STATISTICS TOOL FOR USE IN ANALYSIS OF SPATIAL PATTERNS AND SPATIAL INTERACTION PROCESSES. DATA SETS WOULD INVOLVE REMOTELY SENSED DATA AND ANCILLARY MAPS, ETC. THE R/R&D OBJECTIVES OF PHASE I OF THE PROPOSED PROGRAM ARE THE EXPLORATION OF THE USE OF FRACTALS ITERATIVERECURSIVE ALGORITHM IN SMOOTHING OVER THE PARAMETER SPACE AND IN IMAGE RESTORATION AND RECONSTRUCTION; AND DEVELOPMENT OF THE LOGIC FOR THE FRACTALS ALGORITHM APPROPRIATE FOR STATISTICS OF SPATIAL PATTERNS AND SPATIAL INTERACTION PROCESSES.