In this paper, we introduce a notion of barycenter in the Wasserstein space which generalizes McCann’s interpolation to the case of more than two measures. We provide existence,...
Abstract. The definition of similarity measures is one of the most crucial aspects when developing case-based applications. In particular, when employing similarity measures that ...
Digital scanners are commonplace and are used in many different applications to obtain three-dimensional shapes and linear and circumferential measurements. Even though scanners ca...
Ravindra S. Goonetilleke, Channa P. Witana, Jianhu...
In recent years, folksonomy becomes a hot topic in many research fields such as complex systems, information retrieval, and recommending systems. It is essential to study the seman...
Kaikuo Xu, Yu Chen, Yexi Jiang, Rong Tang, Yintian...
We propose a mathematical approach for quantifying shape complexity of 3D surfaces based on perceptual principles of visual saliency. Our curvature variation measure (CVM), as a 3...
Sreenivas R. Sukumar, David Page, Andrei V. Gribok...