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This paper presents a new approach for the pen trace re- construction task in handwritten text images. The proposed approach is based on a skeleton representation of a binary image which provides sufi- cient information about the pen movement trajectory during the writing. As such, the initial problem can be viewed as a problem of constructing a specific walk in the skeleton graph covering all its edges. The proposed approach consifists of splitting the graph into structural elements and es- timating the pen movement direction in each of them with the resulting trace being composed from the traces of these elements.