mathematical models

Reverse modeling of cultural heritage. Pipeline and bottlenecks

The present work is suggested as a contribution to the debate on Reverse Modeling (RM) topic in the Cultural Heritage field. It wants to test the methodology, the limits and the bottlenecks of the RM pipeline in the architectural field, with particular attention to the geometric shapes reading and interpretation. The mathematical reconstruction of architectural models represents an overlaid result of anthropic and natural transformations framed inside a complex process of shape simplification and surface generation.

Mathematical Models for On-Line Train Calendars Generation

In this paper we present a new model for train calendars textual generation, that is a method for auto- matically generating a text to customers in a concise and clear way with a service calendar represented by a boolean vector as its input. This problem arises in the transportation field, in particular in railway services. A new mathematical model which guarantees the optimality of solutions and good computa- tional performances is described and tested on several real railway timetables, always obtaining optimal solutions.

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