Browsing Institute of New Imaging Technologies (INIT) by Author "87f8629d-b469-4ad9-ac8e-2fe0752e1dc5"
Now showing items 1-7 of 7
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A new extrinsic sample mean in the shape space with applications to the boundaries of anatomical structures
Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria; Simó, Amelia Wiley (2016-02-16)Shape analysis is of great importance in many fields of medical imaging and computational biology. In this paper, we consider the shape space as the set of smooth planar immersed curves in inline image (parameterized curves) ... -
A New Geometric Metric in the Shape and Size Space of Curves in R n
Epifanio, Irene; Gimeno, Vicent; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria MDPI (2020-10-01)Shape analysis of curves in Rn is an active research topic in computer vision. While shape itself is important in many applications, there is also a need to study shape in conjunction with other features, such as scale and ... -
Archetypal Curves in the Shape and Size Space: Discovering the Salient Features of Curved Big Data by Representative Extremes
Epifanio, Irene; Gimeno, Vicent; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria Springer (2023)Curves are complex data. Tools for visualizing, exploring, and discovering the structure of a data set of curves are valuable. In this paper, we propose a scalable methodology to solve this challenge. On the one hand, ... -
Curvature approximation from parabolic sectors
Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria; Monterde, Juan International Society for Stereology (2017)We propose an invariant three-point curvature approximation for plane curves based on the arc of a parabolic sector, and we analyze how closely this approximation is to the true curvature of the curve. We compare our results ... -
Generalized Linear Models for Geometrical Current predictors. An application to predict garment fit
Barahona-Albiol, Sònia; Centella, P.; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria; Simó, Amelia SAGE Publications (2019)The aim of this paper is to model an ordinal response variable in terms of vector-valued functional data included on a vector-valued RKHS. In particular, we focus on the vector-valued RKHS obtained when a geometrical ... -
Supervised classification of geometrical objects by integrating currents and functional data analysis
Barahona, S.; Centella, P.; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria; Sanchis Vidal, Amelia Springer Verlag (2019)This paper focuses on the application of supervised classification techniques to a set of geometrical objects (bodies) characterized by currents, in particular, discriminant analysis and some nonparametric methods. A current ... -
Unsupervised classification of children’s bodies using currents
Barahona, S.; Gual-Arnau, Ximo; Ibáñez Gual, Maria Victoria; Simó, Amelia Springer Verlag (2018-06)Object classification according to their shape and size is of key importance in many scientific fields. This work focuses on the case where the size and shape of an object is characterized by a current. A current is a ...