Listar por autoría "6f443dea-34af-4a02-bb7b-19aef81e85d6"
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A new expression for the density of totally geodesic submanifolds in space forms, with stereological applications
Elsevier (2009)Integral section formulae for totally geodesic submanifolds (planes) intersecting a compact submanifold in a space form are available from appropriate representations of the motion invariant density (measure) of these ... -
A new extrinsic sample mean in the shape space with applications to the boundaries of anatomical structures
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) ...
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A New Geometric Metric in the Shape and Size Space of Curves in R n
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 ... -
A new rotational integral formula for intrinsic volumes in space forms
Elsevier (2010)A new rotational version of Crofton's formula is derived for the intrinsic volumes of a domain Y in a space form. More precisely, a functional is defined on the intersection between Y and a totally geodesic submanifold ...
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Analysis of Archetypes to Determine Time Use and Workload Profiles of Spanish University Professors
MDPI (2023)Allocation of time use is important to develop appropriate policies, especially in terms of gender equality. Individual well-being depends on many factors, including how time is spent. Therefore, knowing and analysing ...
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Curvature approximation from parabolic sectors
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 ...
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Erythrocyte shape classification using integral-geometry-based methods
Springer (2015)Erythrocyte shape deformations are related to different important illnesses. In this paper, we focus on one of the most important: the Sickle cell disease. This disease causes the hardening or polymerization of the hemoglobin ...
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Gauss-Bonnet formulae and rotational integrals in constant curvature spaces
Elsevier (2017-02)We obtain generalizations of the main result in [10], and then provide geometric interpretations of linear combinations of the mean curvature integrals that appear in the Gauss–Bonnet formula for hypersurfaces in space ...
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Generalized Linear Models for Geometrical Current predictors. An application to predict garment fit
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 ...
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Geometric analysis of planar shapes with applications to cell deformations
International Society for Stereology (2015-07)Shape analysis is of great importance in many fields such as computer vision, medical imaging, and computational biology. In this paper we focus on a shape space in which shapes are represented by means of planar closed ...
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Geometric integral formulas of cylinders within slabs
Elsevier (2023-10-17)We present new expressions for the integrals of mean curvature of domains in by means of sections with cylinders. Then, we combine these expressions with the corresponding version of the invariant density of affine ...
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Intrinsic sample mean in the space of planar shapes
Elsevier (2016-12)In this paper we consider the shape space as the set of smooth simple closed curves in R2R2 (parameterized curves), modulo translations, rotations and scale changes. An algorithm to obtain the intrinsic average of a sample ...
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Matemàtiques II
Publicacions de la Universitat Jaume I (2013)
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Measure of Segments which Intersect a Convex Body from Rotational Formulae
Springer (2015-02)Classical problems in integral geometry and geometric probability involve the kinematic measure of congruent segments of fixed length within a convex body in ℝ3. We give this measure from rotational formulae; that is, from ...
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Morphological analysis of cells by means of an elastic metric in the shape space
International Society for Stereology (2020-03)Shape analysis is of great importance in many fields, such as computer vision, medical imaging, and computational biology. This analysis can be performed considering shapes as closed planar curves in the shape space. This ...
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New rotational integrals in space forms, with an application to surface area estimation
Springer (2016-08)A surface area estimator for three-dimensional convex sets, based on the invariator principle of local stereology, has recently motivated its generalization by means of new rotational Crofton-type formulae using Morse ...
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Quantifying Uncertainties for Prostate Image-Guided Radiotherapy: A 3D Organ Reconstruction and Registration Method
Bentham Science Publishers (2009)The purpose of this paper is to present a method for volumetric reconstruction, registration and margin assignation applicable to both conventional CT scans and on board CT imaging. This method does not depend on the shape ...
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Same-age Tutoring in Maths using ICT: From Computational Math Students to Chemistry Students
Universidad Politécnica de Valencia (2021)En este trabajo exponemos un proyecto educativo basado en la tutorización por pares entre estudiantado de la misma edad (same-age tutoring) que cursan la asignatura de Matemáticas I pero en dos grados diferentes como son ...
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Shape description from generalized support functions
Elsevier (2013)The generalized support function is considered to be a representation of shape properties of compact connected sets in R2. Some interesting properties are studied and several parameters are defined for use in shape description ...
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Stereology with cylinder probes
International Society for Stereology (2020)Intersection formulae of Croton type for general geometric probes are well known in integral geometry. For the special case of cylinders with non necessarily convex direktrix, however, no equivalent formula seems to exist ...
