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Computational topology algorithms for discrete 2-manifolds

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Figure

Figure 1.1: Examples of geometric models used for various applicationsExamples of geometric models used for various applications – including: scientific visualization (isosurface
Figure 1.2: Coffee cup and brainA coffee cup (genus one) and a brain (genus zero). Note that there are no non-separating cycles on the brain,
Figure 1.3: Close-up view of an extraneous handleSequence of progressively closer views revealing an extraneous handle in the Buddha mesh.
Figure 1.4: Buddha with excess topologyThis scanned Buddha has genus 104 instead of the expected 6
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