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Bicubic Bounding Planes and Slopes

IP.com Disclosure Number: IPCOM000077994D
Original Publication Date: 1972-Oct-01
Included in the Prior Art Database: 2005-Feb-25
Document File: 3 page(s) / 66K

Publishing Venue

IBM

Related People

Dimsdale, B: AUTHOR

Abstract

Given a bicubic function for a sculptured surface to be defined for numerical control, the objective is to find a pair of planes in a given region R which bound the surface above and below.

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Bicubic Bounding Planes and Slopes

Given a bicubic function for a sculptured surface to be defined for numerical control, the objective is to find a pair of planes in a given region R which bound the surface above and below.

Let S(t) be the vector function S(t) = (t/3/,t/2/,t,1). Let B' be any 4 x 4 array of constants. Let the bicubic function z'(x' y') = S(x')M'S/T/(y'). be defined over the range R'[x'(o)< x' < x'(o)+lambda y' < y' < y' +lambda(2)]. The following problems are to be solved as shown from the accompanying flow diagram:

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