Ellipsoid decomposition of 3D-models

In this paper we present a simple technique to approximate the volume enclosed by a given triangle mesh with a set of overlapping ellipsoids. This type of geometry representation allows us to approximately reconstruct 3D-shapes from a very small amount of information being transmitted. The two centr...

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Vydáno v:Proceedings. First International Symposium on 3D Data Processing Visualization and Transmission s. 480 - 488
Hlavní autoři: Bischoff, S., Kobbelt, L.
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 2002
Témata:
Clouds
Computer graphics
Displays
Ellipsoids
Information geometry
Piecewise linear approximation
Piecewise linear techniques
Robustness
Shape
Surface reconstruction
ISBN:0769515214
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Popis
Shrnutí:In this paper we present a simple technique to approximate the volume enclosed by a given triangle mesh with a set of overlapping ellipsoids. This type of geometry representation allows us to approximately reconstruct 3D-shapes from a very small amount of information being transmitted. The two central questions that we address are: how can we compute optimal fitting ellipsoids that lie in the interior of a given triangle mesh and how do we select the most significant (least redundant) subset from a huge number of candidate ellipsoids. Our major motivation for computing ellipsoid decompositions is the robust transmission of geometric objects where the receiver can reconstruct the 3D-shape even if part of the data gets lost during transmission.
ISBN:0769515214
DOI:10.1109/TDPVT.2002.1024103