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**Figure 1:**
Location of the ``ideal'' point

of a tentative triangle.

**Figure 2:**
Correction of the ideal point

due to the surface
curvature.

**Figure 3:**
Correction of the size of the ideal element due to the mesh
size gradation.

**Figure 4:**
Selection of point

.

**Figure 5:**
Location of the ``ideal'' points

and

of
a tentative quadrilateral.

**Figure 6:**
Selection of the base edge for generation of the second triangle.

**Figure 7:**
Mesh schemes for determination of smoothing weights.

**Figure 8:**
a) Merge operations (left), b) swap operations (middle),
c) refine operation (right top), d) coarse operation (right middle),
e) split operation (right bottom).

**Figure 9:**
Transform operations.

**Figure 10:**
Mesh of a complex planar domain.

**Figure 11:**
Mesh of a torus.

**Figure 12:**
Mesh of a chair.

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*Daniel Rypl *

2005-12-03