Adaptive Evolution of3DCurves forQuality Control

Intheareaofquality control by vision,model,forthepurpose ofa control ofconformity with thereconstruction of3D curvesisa convenient tool respect tothismodel.We dispose ofasetofimageswith todetectand quantify possible anomalies.Whereas givenperspective projection matrices. Thereconstruction othermethodsexistthatallowustodescribesurface elements, thecontourapproach willprovetobeusefulwilbe accishe bymeans oftheobserved contours toreconstruct theobject closetodiscontinuities, such andtheirmatching, bothacross theimagesandtothe asholesoredges. model.We proposed aprevious version ofouralgorithm, basedonedgedistances, in(1). Thecontributions ofthis We present analgorithm forthereconstruction of3D paperwithrespect totheformer oneresides intheenergy parametric curves, basedon a fixedcomplexity model,formulation, giving a new structure totheproblem. We embeddedinan iterative frameworkofcontrolpoint insertion. Thesuccessive increase ofdegrees offreedomhavealsointroduced anadaptive sampling methodand provides fora goodprecision whileavoiding toover-completed theexperimental evaluation. parameterize themodel.The curveisreconstructedAlgorithms basedonactive contours (2)allows fora by adaptingtheprojections ofa 3D NURBS snake totheobserved curvesina multi-view setting. The local adjustment ofthe modelandaprecise reconstruction sampling ofthecurveisadjusted asa function ofthe ofprimitives. Moreprecisely, themethodallows foran local visibility inthedifferent views.Theoptimization evolution ofthereprojected modelcurvestowardtheimage ofthecurveisperformed withrespect tothecontroledges, thustominimize thedistance intheimages between pointsusingan gradient-based energyminimization thepredicted curves andtheobserved edges. method,whereastheinsertion procedure relies on the computation ofthedistance fromthecurvetotheimage The parameterization ofthecurvesaswellasthe edges. optimization algorithms we usemustyield an estimate thatmeetstherequirements ofaccuracy androbustness Keywords- ActiveContours, CurveReconstruction, necessary toperform a control ofconformity. We have Quality Control, Multi-View chosen touseNURBS curves (3), apowerful mathematical toolthatisalsowidely usedinindustrial applications.