Modelling and Interpretation of Architecture from Several Images

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Primitive parameter refinementOverviewParametersFormal ProblemFormulationPrior EvaluationrjMCMCModel AcquisitionAlgorithmDetailed AlgorithmOverviewWall PlanesOptimising WallPlanesPrimitivesPrimitive LikelihoodsPrimitiveparameter⊲ refinementMAP ModelResults□□□□After the parameters {x,y,w,h} from the single viewhave been initialised, from multiple views the parametersthe remaining parameters for the primitives {d,a,b,dw}are estimated.Occam Factor is used to penalize model complexity andkeep the models as simple as possible, to avoidoverfitting.To evaluate whether a primitive should be kept in themodel, its full likelihood ration against the model withno primitives is compared: L i M = P(D|θi MI)P(D|θ 0 M 0 IThe maximum likelihood model would include allnon-overlapping shapes with ratio < 1.29 / 35
MAP ModelOverviewParametersFormal ProblemFormulationPrior EvaluationrjMCMCModel AcquisitionAlgorithmDetailed AlgorithmOverviewWall PlanesOptimising WallPlanesPrimitivesPrimitive LikelihoodsPrimitive parameterrefinement⊲ MAP ModelResultsThe complete scoring function, including the imageinformation, is given by:□ f(θ) = λf prior (θ + ∑ m∑( ) i(g j 2) − i(g))σi(g) j=1□ Seed points from previous MAP estimations, with anacceptance threshold of a fixed range of primitives permodel.30 / 35
Page 1 and 2: GoBack
Page 3 and 4: ⊲ OverviewProblem StatementAlgori
Page 5 and 6: Algorithm OverviewOverviewProblem S
Page 7 and 8: Overview⊲ ParametersWall PlaneVol
Page 9 and 10: Volumetric Shape PrimitivesOverview
Page 11 and 12: OverviewParameters⊲Formal Problem
Page 13 and 14: Posterior - 2OverviewParametersForm
Page 15 and 16: OverviewParametersFormal ProblemFor
Page 17 and 18: Wall Plane Prior EvaluationOverview
Page 19 and 20: Texture Prior EvaluationOverviewPar
Page 21 and 22: Scoring functionOverviewParametersF
Page 23 and 24: List of JumpsOverviewParametersForm
Page 25 and 26: Detailed Algorithm OverviewOverview
Page 27 and 28: Optimising Wall PlanesOverviewParam
Page 29: Primitive LikelihoodsOverviewParame
Page 33 and 34: Comparison to ground truthOverviewP
Page 35 and 36: AmbiguitiesOverviewParametersFormal

Modelling and Interpretation of Architecture from Several Images

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