CENTER FOR COMPUTATIONAL MATHEMATICS COLLOQUIUM

                  UNIVERSITY OF COLORADO AT DENVER



TITLE:   New Methods for Curves and Surfaces Modeling
 

SPEAKER: Michael Zuev, Flow  Structure  Technologies, Denver
         

DATE:    Monday, November 18, 1996

PLACE:   Math Conference Room - Suite 540 
         UCD Building, 1250 14th St., Denver

TIME:    noon (Refreshments served at 11:45 am)



ABSTRACT



 	SPLINE CURVES INTERPOLATION TECHNIQUE
 		Derivatives computation methods:
 			Modified_Lagrange technique
 			Spline_Matrix inversion methodologies:
 				for Degree = 3
 				for Degree = 5
 
 	SPLINE CURVES FITTING ALGORITHM
 		Analytical method for segment fit testing
 		Arc_lenth fast computation technique
 
 	LOCAL CURVE DEFORMATION
 
 	SPLINE CURVE CONVERTERS BETWEEN HERMIT, BEZIER,
 	B SPLINE AND POWER BASIS REPRESENTATIONS
 
 	SPLINE SURFACES' REPRESENTATIONS
 		Evaluation technique for the single u_v patch
 		Conversion between various Spline_representations
 		Partials' computation algorithm
 
 	LOFT SURFACES REPRESENTATIONS
 		Iso_curves lofting approach problems
 		Re-parametrization algorithm
 
 	UNIVERSAL CONVERTER FROM ANY PARAMETRICAL SURFACE
 	TO THE OPTIMIZED SPLINE
 
 	LOCAL SURFACE DEFORMATION