| Title: | Application of data dependent discrete Laplacian |
| Authors: | Dvořák, Jan |
| Citation: | RENDL, Jan ed. Studentská vědecká konference: magisterské a doktorské studijní programy, sborník rozšířených abstraktů, květen 2018, Plzeň. Plzeň: Západočeská univerzita v Plzni, 2019, s. 36-37. ISBN 978-80-261-0790-3. |
| Issue Date: | 2018 |
| Publisher: | Západočeská univerzita v Plzni |
| Document type: | konferenční příspěvek conferenceObject |
| URI: | http://hdl.handle.net/11025/29814 http://svk.fav.zcu.cz/download/sbornik_svk_2018.pdf |
| ISBN: | 978-80-261-0790-3 |
| Keywords: | počítačové zpracování obrazu;Laplaceův operátor;komprese mřížky |
| Keywords in different language: | computer image processing;Laplace operator;mesh compression |
| Abstract in different language: | Laplace operator is extensively used in geometry processing. In the continuous setting, it is very well understood. It has also some quite interesting properties. Its generalization to the discrete case is, however, ambiguous. Various discretizations exist, differing mainly in the weights used in the discretized formula. Each of the discretizations preserves a different subset of properties (or their discrete equivalents) of the smooth Laplace operator. It can be proven, that no discretization can preserve a certain set of those properties at once. This makes each discretization suitable for different purposes. As part of this work, a new discretization of the Laplace operator is proposed, minimizing the lengths of differential coordinates used in the compression of dynamic triangle meshes. It is based on the assumption, that such minimization of lengths should cause a decrease of the entropy of the encoded data. It has one other big advantage over other discretizations that require the geometry information - it can be constructed from geometry of more than one mesh without requiring any complex analysis of the shapes of those meshes. |
| Rights: | © Západočeská univerzita v Plzni |
| Appears in Collections: | Studentská vědecká konference 2018-magisterské a doktorské studijní programy Studentská vědecká konference 2018-magisterské a doktorské studijní programy |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Dvorak.pdf | Plný text | 420,49 kB | Adobe PDF | View/Open |
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