Sculpt the final object since he has independent ways

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: only G final manifold that can be visualised in 3D Figure 1; Parametric representation of the 2-dimension, rank 1 G final manifold Any point on this manifold represents a valid object. 3.3. Fundamental property The theorem for the product of determinants immediately shows that if the rank of Ginit is 3, then G final is also rank 3, even if rank r of Ω is 3 < r < n . In other words, the Eq2 formula always gives a valid object for the 3D space, irrespective of the real Ω perturbation. With this tensor equation, we are faced with the usual 2 problems, as follows: one, called the "direct problem" which, since Ω and Ginit are known, consists of calculating G final , the other, called the "reverse problem", which since G final is Dependence and Independence of Variations 29 partially known, consists of determining Ω , followed by the complete G final , and then returning to the direct problem. 3.4. Direct problem ur For example, let us consider the perturbation of the vector ei : uuu r ur uu r ur uu r uu r 1 2 3 4 n ∆ei...
View Full Document

This note was uploaded on 08/03/2010 for the course DD 1234 taught by Professor Zczxc during the Spring '10 term at Magnolia Bible.

Ask a homework question - tutors are online