Download e-book for iPad: A Formal Model of Visualization in Computer Graphics Systems by Tamiya Onodera

By Tamiya Onodera

ISBN-10: 3540523952

ISBN-13: 9783540523956

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1].

Next, let us consider delaying the effect of a pictorializing transformation. As we have seen, a pictorializing transformation is immediately replaced by a replication in the proof of Claim 2. That is, ~p(v, g) = ( m ~ . . . -~l)(p). S) in the proof. We consider the alternative, where tp(p,g) is not transformed and is itself subject to picture transformations. 8, the counterpart of Claim 2 in the implementation of the delayed pictorializing transformation is as follows: Claim 3 The picture in a visualizing ne~ is the sum of pictures of the form (idl N -,(g,))- (,~(g)) i or ((idl n ~(g~)) o m)'(~,(;, ~(g))) 48 C H A P T E R 4.

This reduces the number of cases that have to be considered in implementing the two procedures. Next, let us consider delaying the effect of a pictorializing transformation. As we have seen, a pictorializing transformation is immediately replaced by a replication in the proof of Claim 2. That is, ~p(v, g) = ( m ~ . . . -~l)(p). S) in the proof. We consider the alternative, where tp(p,g) is not transformed and is itself subject to picture transformations. 8, the counterpart of Claim 2 in the implementation of the delayed pictorializing transformation is as follows: Claim 3 The picture in a visualizing ne~ is the sum of pictures of the form (idl N -,(g,))- (,~(g)) i or ((idl n ~(g~)) o m)'(~,(;, ~(g))) 48 C H A P T E R 4.

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A Formal Model of Visualization in Computer Graphics Systems by Tamiya Onodera


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