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(b)
(a)
(d)
(c)
(e)
Figure 8.126 Tetrahedral mesh of a hand penetrated into a board: (a) five loops divide the hand into six
zones; (b) the board is also divided into six zones; (c) two regions of intersection identified;
(d) intersection parts are removed from the board; (e) hand inserted into the board.
intersection segments, which could be grouped into three intersection loops. The cuboid
is partitioned into four zones, whereas the machine part is partitioned into two zones, as
shown in Figure 8.127a and b. One region of intersection is identified, as shown in Figure
8.127c, and the merging of the two objects is shown in Figure 8.127d.
8.6.4 Closure
Apart from the determination of surface intersections in the form of intersection loops, all
operations for mesh merging are topological in nature, such as the adjacency relationship,
surface partition from a seed triangle, boundary operations to obtain bounding surfaces from
a volume and loops from surface patches, etc. However, the quality of the resulting mesh
depends on the geometry of the objects as well as how they are meshed; besides optimisation,
what else could be done to improve mesh quality will be of interest for further research.
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