000149335 001__ 149335
000149335 005__ 20181203035849.0
000149335 0247_ $$2doi$$a10.1145/1138450.1138451
000149335 022__ $$a07300301
000149335 037__ $$aARTICLE
000149335 245__ $$aPoint-based multiscale surface representation
000149335 269__ $$a2006
000149335 260__ $$c2006
000149335 336__ $$aJournal Articles
000149335 520__ $$aIn this article we present a new multiscale surface representation based on point samples. Given an unstructured point cloud as input, our method first computes a series of point-based surface approximations at successively higher levels of smoothness, that is, coarser scales of detail, using geometric low-pass filtering. These point clouds are then encoded relative to each other by expressing each level as a scalar displacement of its predecessor. Low-pass filtering and encoding are combined in an efficient multilevel projection operator using local weighted least squares fitting. Our representation is motivated by the need for higher-level editing semantics which allow surface modifications at different scales. The user would be able to edit the surface at different approximation levels to perform coarse-scale edits on the whole model as well as very localized modifications on the surface detail. Additionally, the multiscale representation provides a separation in geometric scale which can be understood as a spectral decomposition of the surface geometry. Based on this observation, advanced geometric filtering methods can be implemented that mimic the effects of Fourier filters to achieve effects such as smoothing, enhancement, or band-bass filtering. © 2006 ACM.
000149335 6531_ $$aApproximation theory
000149335 6531_ $$aComputational geometry
000149335 6531_ $$aGraphic methods
000149335 6531_ $$aImage coding
000149335 6531_ $$aLow pass filters
000149335 6531_ $$aMathematical models
000149335 6531_ $$aSemantics
000149335 700__ $$0244286$$aPauly, Mark$$g196500
000149335 700__ $$aKobbelt, Leif P.
000149335 700__ $$aGross, Markus
000149335 773__ $$j25$$k2$$q177 - 193$$tACM Transactions on Graphics
000149335 8564_ $$s5599820$$uhttps://infoscience.epfl.ch/record/149335/files/pauly_2006_PMS.pdf$$zn/a
000149335 909C0 $$0252282$$pLGG$$xU12168
000149335 909CO $$ooai:infoscience.tind.io:149335$$pIC$$particle$$qGLOBAL_SET
000149335 937__ $$aEPFL-ARTICLE-149335
000149335 970__ $$a20062810002640/LGG
000149335 973__ $$aOTHER$$rREVIEWED$$sPUBLISHED
000149335 980__ $$aARTICLE