<div class="csl-bib-body">
<div class="csl-entry">Ohrhallinger, S. (2025, February). <i>The Sampling-Reconstruction Dual</i> [Keynote Presentation]. Infinite-dimensional Geometry: Theory and Applications, Austria.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/213240
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dc.description.abstract
Reconstructing surfaces of the real world from scans is an important and challenging problem. Its feasibility is limited by the number of the acquired points and their geometric configuration. The question of how many points exactly are required for the faithful reconstruction of the features leads to its inverse problem, sampling a known surface with the least possible number of points.
This talk is about reconstruction algorithms and attempts to prove their theoretical bounds in the number of points required and its dual, sampling curves (as their simpler 2D equivalent) and surfaces with specified bounds from different representations such as meshes, smooth higher-order boundaries, subdivision limit surfaces, and signed distance functions, depending on the application, e.g., lossless reduction of scanned data size, measuring scan error, handling scan artifacts such as noise, outliers, and holes, or secondary goals such as accelerating simulations.
The underlying assumption is that the smooth surface (reconstructed, or sampled) is richer than the sparse discrete set of geometric primitives (points + connectivity) it is represented with, leading to the goal of representing object boundaries, e.g., from the physical world, with the least amount of geometry.
en
dc.language.iso
en
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dc.subject
surface reconstruction
en
dc.subject
sampling
en
dc.title
The Sampling-Reconstruction Dual
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Keynote Presentation
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tuw.publication.invited
invited
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tuw.researchTopic.id
I5
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tuw.researchTopic.name
Visual Computing and Human-Centered Technology
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tuw.researchTopic.value
100
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tuw.linking
https://www.youtube.com/watch?v=-GjXcMRlMF4
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tuw.publication.orgunit
E193-02 - Forschungsbereich Computer Graphics
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tuw.author.orcid
0000-0002-2526-7700
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tuw.event.name
Infinite-dimensional Geometry: Theory and Applications
en
tuw.event.startdate
13-01-2025
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tuw.event.enddate
14-02-2025
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.country
AT
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tuw.event.institution
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
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tuw.event.presenter
Ohrhallinger, Stefan
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tuw.event.track
Single Track
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wb.sciencebranch
Informatik
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1020
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
90
-
wb.sciencebranch.value
10
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item.grantfulltext
none
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crisitem.author.dept
E193-02 - Forschungsbereich Computer Graphics
-
crisitem.author.orcid
0000-0002-2526-7700
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crisitem.author.parentorg
E193 - Institut für Visual Computing and Human-Centered Technology
