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Risk assessment includes quantitative estimation of damage to a linear engineering structure by exogenous geological processes. Remote sensing data processing using the mathematical morphology of landscape seems to be a promising approach of exogenous hazard risk assessment for linear structures, this issue is examined taking thermokarst plains as an example. The mathematical models of landscape morphological patterns for thermokarst lacustrine plains and thermokarst plains with fluvial erosion is a base of the su...