Parametric Curves and Surfaces

2008 ◽  
pp. 207-264
Keyword(s):  
Parametric Curves ◽  
Curves And Surfaces

scholarly journals Error-Free Interpolation of Parametric Surfaces

1992 ◽  
Vol 114 (3) ◽  
pp. 271-276 ◽  
Author(s):  
J. G. Gan ◽  
T. C. Woo
Keyword(s):  
Cost Effective ◽  
Parametric Surfaces ◽  
Parametric Curves ◽  
Acceptable Limit ◽  
Effective Implementation ◽  
Curves And Surfaces ◽  
Free Interpolation ◽  
Minimum Number ◽  
Differential Analyzer

A Digital Differential analyzer (DDA) is a cost effective implementation for interpolating parametric curves and surfaces. However, the problems of register overflow and integer round-off have prevented it from being adopted by industry. Contrary to intuition, an increase in register capacity is shown to have no bearing on the register overflow problem. It is shown that there is a minimum number of interpolation steps Kl below which register overflow occurs. Correspondingly, it is also shown that there exists a maximum number of interpolation steps Ku above which the accumulation of integer round-off errors exceeds the acceptable limit. But, when Kl>Ku, conflict arises. A solution is given to resolve the possible conflict and to yield an error-free interpolation of curves and surfaces.

Implicit representation of parametric curves and surfaces

1984 ◽  
Vol 27 (2) ◽  
pp. 247 ◽  
Author(s):  
T.W. Sederberg ◽  
D.C. Anderson ◽  
R.N. Goldman
Keyword(s):  
Implicit Representation ◽  
Parametric Curves ◽  
Curves And Surfaces

Fitting Parametric Curves and Surfaces by l∞ Distance Regression

2005 ◽  
Vol 45 (3) ◽  
pp. 443-461 ◽  
Author(s):  
I. Al-Subaihi ◽  
G. A. Watson
Keyword(s):  
Parametric Curves ◽  
Curves And Surfaces
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