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Suppose P be the point object along with the coordinate (x,y,z). We want to translate such object point to the new position as, P'(x',y',z') through the translation Vector as V=tx.I+ty.J+tz.K , here tx , ty and tz are the translation factor into the x, y, and z directions correspondingly, as demonstrated in Figure 8. It is, a point (x,y,z) is shifted to (x+ tx,y+ ty,z+ tz). Hence the new coordinates of a point can be written:
In terms of homogeneous coordinates, above equation becomes:
That is: P'h = Ph.Tv
High level techniques (motion generalized) Techniques utilized to explain general motion behavior of any of graphic object, such techniques are algorithms or models utilized to
Ray Tracing: Ray t racing is the technique to determine which objects in the scene are visible. In this to identify the visible surface for each pixel we continue to bounce the
Role in Education and Training:- A multimedia presentation is an important way to introduce new concepts or described a new technology. Individuals determine it easy to understand
definition of education
determine the form of the transformation matrix for a reflection about an arbitrary line with equation y=mx+b.
A convex polygonal region having n- vertices {P 0 , P 1 , P 2 ..., P n - 1 , P n , P 0 } or lattice points to be identified by the user includes the convex window area. To be exact
To prove ‾P (1) = p n Solution : since in the above case we determine each term excluding B n,n (u) will have numerous of (1 - u) i (i = 0 to n) consequently by using u = 1
For good understanding of the application of the rules specified above see the following figure, where the shaded region demonstrates the clipped polygon. Fi
Q. What are Bezier cubic curves? Derive their properties. OR What are Bezier cubic curves? Derive these properties. Also show that the sum of the blending functions is identical
Polygon Rendering and Ray Tracing Methods In previous section we had discussed various methods for visible-surface detection, although in order to produce visibility the prese
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