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Modelling and Interpretation of Architecture from Several Images

Modelling and Interpretation of Architecture from Several Images

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Wall Plane Prior EvaluationOverviewParametersFormal ProblemFormulationPrior EvaluationLikelihoodEvaluation⊲Wall Plane PriorEvaluationShape PriorEvaluationTexture PriorEvaluationrjMCMCModel AcquisitionAlgorithmResultsThe wall plane prior is based on the architectural heuristicsthat neighbouring walls intersect at right angles, they areperpendicular to the ground plane <strong>and</strong> the height-width ratio<strong>of</strong> walls is constraint. The terms composing the prior areindependent <strong>of</strong> each other:P(θ P |θ G MI) = P(n|θ G MI)P(p|θ G MI)P({h p ,w P }|θ G MI)Each <strong>of</strong> these terms is represented by a simple distribution:∑n−1( ) 2 φI − π/2P(n|θ G MI)α, where φ i is the interiori=1σ φangle between planes i <strong>and</strong> i + 1.P({h p ,w p }|θ G MI) = 1, if 0.25 ≤ h P /w P ≤ 4= 0, otherwiseThe distribution <strong>of</strong> the walls position is uniform.16 / 35

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