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Phong Shading
Phong shading too is based on interpolation, but instead of interpolating the colour value, it is the normal vector, which is interpolated for each point and a colour value calculated for each pixel based on the interpolated value of the normal vector. The interpolation is (like Gouraud shading) based upon calculating the vertex normals (red arrows in Figure 3.28), using these as the basis for interpolation along the polygon edges (blue arrows) and then using these as the basis for interpolating along a scan line to produce the internal normals (green vectors).
Phong shading allows us to counteract the fact that we are using a flat surface to approximate to a curved one. The arrows (and thus the interpolated vectors) give an indication of the curvature of the smooth surface, which the flat polygon is approximating to.
AVL tree An AVL tree is a binary search tree in which the height of the left and right subtree of the root vary by at most 1 and in which the left and right subtrees are again
for i=1 to n if a[i}>7 for j=2 to n a[j]=a{j}+j for n=2 to n a[k]=a[j]+i else if a[1]>4 && a[1] for 2 to a[1] a[j]= a{j]+5 else for 2to n a[j]=a[j]+i ..
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This is a k-ary position tree wherein all levels are filled from left to right. There are a number of specialized trees. They are binary trees, AVL-trees, binary search trees, 2
How many recursive calls are called by the naïve recursive algorithm for binomial coefficients, C(10, 5) and C(21, 12) C(n,k){c(n-1,k)+c(n-1,k-1) if 1 1 if k = n or k = 0
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Readjusting for tree modification calls for rotations in the binary search tree. Single rotations are possible in the left or right direction for moving a node to the root position
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