Principal component analysis -PCA- and delone triangulations for PL approximation C-1-continuous 1-manifolds in R-N
| dc.contributor.author | Ruiz, OE | |
| dc.contributor.author | Cadavid, CA | |
| dc.contributor.author | Garcia, MJ | |
| dc.contributor.author | Martinod, R | |
| dc.contributor.department | Universidad EAFIT. Departamento de Ingeniería Mecánica | spa |
| dc.contributor.researchgroup | Mecánica Aplicada | spa |
| dc.creator | Ruiz, OE | |
| dc.creator | Cadavid, CA | |
| dc.creator | Garcia, MJ | |
| dc.creator | Martinod, R | |
| dc.date.accessioned | 2021-04-16T20:16:12Z | |
| dc.date.available | 2021-04-16T20:16:12Z | |
| dc.date.issued | 2004-01-01 | |
| dc.description.abstract | A Method is presented which combines statistical (Principal Component Analysis) and deterministic (Voronoi-Delone) methods to find Piecewise Linear approximations of curves C-i(u) in R-3 sampled with statistical noise. If the curves are self-intersecting, there are a finite number of points in which they are not 1-manifolds. Otherwise, they are 1-manifolds in all extents. The combination presented, of PCA and V-D methods, allows the recovery of 1-manifold approximations for C-i(u) for self-intersecting quasi-planar and non self-intersecting curves. In the later case the PCA alone succeeds in finding 1-manifold PL approximations for them. The algorithm implemented finds applications in contour and shape reconstruction from noisy data, subject to sampling errors or blockage. | eng |
| dc.identifier | https://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2071 | |
| dc.identifier.isbn | 889864187 | |
| dc.identifier.other | WOS;000228521000024 | |
| dc.identifier.uri | http://hdl.handle.net/10784/29277 | |
| dc.language.iso | eng | |
| dc.publisher | ACTA PRESS | |
| dc.rights | ACTA PRESS | |
| dc.source | Proceedings Of The Seventh Iasted International Conference On Computer Graphics And Imaging | |
| dc.subject.keyword | manifold reconstruction | eng |
| dc.subject.keyword | principal component analysis | eng |
| dc.subject.keyword | Voronoi-Delaunay methods | eng |
| dc.subject.keyword | medial axis | eng |
| dc.subject.keyword | stochastic geometry | eng |
| dc.title | Principal component analysis -PCA- and delone triangulations for PL approximation C-1-continuous 1-manifolds in R-N | eng |
| dc.type | info:eu-repo/semantics/conferencePaper | eng |
| dc.type | conferencePaper | eng |
| dc.type | info:eu-repo/semantics/publishedVersion | eng |
| dc.type | publishedVersion | eng |
| dc.type.local | Documento de conferencia | spa |