We study a class of functional which can be used for matching objects which can be represented as mappings from a fixed interval, I, to some “feature space.” This class of functionals corresponds to “elastic matching” in which a symmetry condition and a “focus invariance” are imposed. We provide sufficient conditions under which an optimal matching can be found between two such mappings, the op...

The concept of vehicle automation is a promising approach to achieve sustainable transport systems, especially in an urban context. Automation requires the integration learning-based approaches and methods control theory. Through integration, high amount information can be incorporated. Thus, operation, i.e., energy-efficient safe motion with automated vehicles, achieved. Despite advantages app...

Second order Sobolev metrics are a useful tool in the shape analysis of curves. In this paper we combine these metrics with varifoldbased inexact matching to explore a new strategy of computing geodesics between unparametrized curves. We describe the numerical method used for solving the inexact matching problem, apply it to study the shape of mosquito wings and compare our method to curve matc...

Consider the problem of migrating a company’s CRM or ERP database from one application to another, or integrating two such databases as a result of a merger. This problem requires matching two large relational schemas with hundreds and sometimes thousands of fields. Further, the correct match is likely complex: rather than a simple one-to-one alignment, some fields in the source database may ma...