## Effective Removal of Detail for a Multiresolution Viewer: Slide 6 of 12.

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Let's see how we can add detail, that is, wavelet coefficients, to a
model.

The picture on the top represents our current one-dimensional
polyline. We intend to add to it a wavelet centered on vertex
17. This particular wavelet has nonzero support between the vertices
12 and 22, so it should only change the model within that segment.

First we change the model topology by adding all wavelet vertices that
don't already exist in the model. In the example, that would be 12,
14, and 17. Then, if the model contains some vertices within the
support of the wavelet that don't appear in the wavelet, we add them
to it (only vertex 21).

Now we change the model geometry by adding the values at the wavelet
vertices to the corresponding vertices in the model. For example,
vertex 12 stays put, it is only used to separate the influence of the
wavelet from the rest of the model, vertex 14 moves up a bit, 16 moves
down, and so forth.

As I said, this example shows a one-dimensional example. For a 2D
polygon, the topology changing part (that is, adding of vertices) is
the same. For the geometry changing part, we simply have separate
coefficients for the x and y coordinates.