To tackle the problem that classic RANSAC (Random Sample Consensus) is limited by the assumption that a single
model accounts for all of the data inliers, an algorithm of multi-planar-feature fitting from 3D point cloud based on
BaySAC algorithm (Bayes Sample Consensus) is proposed (called multiBaySAC). First, as the mathematical models of
most of primitives to be fitted are determinate, a statistical algorithm of hypothesis model parameters histogram is
proposed to detect potential planar features. Instead of assuming constant prior probabilities of data points and choosing
initial data sets by random as RANSAC, we then implement a conditional sampling method -- BaySAC for robust
parameters estimation of potential planar features, by computing the prior probability of each data point and updating the
inlier probabilities using simplified Bayes’ rule. For the purpose of multiple feature fitting, the sequential application of
the above procedure is implemented following the removal of the detected set of inliers. The proposed approach is tested
with point cloud data of buildings acquired by RIEGL VZ-400 laser scanner. The results show that the proposed
Multi-BaySAC can achieve high computation efficiency and fitting accuracy of multiple planar feature fitting.
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