Search Results - "Kabata, Yutaro"
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Radiomic features based on Hessian index for prediction of prognosis in head-and-neck cancer patients
Published in Scientific reports (04-12-2020)“…This study demonstrated the usefulness of radiomic features based on the Hessian index of differential topology for the prediction of prognosis prior to…”
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Criteria for sharksfin and deltoid singularities from the plane into the plane and their applications
Published in Beiträge zur Algebra und Geometrie (01-12-2022)“…We give criteria for sharksfin and deltoid singularities from the plane into the plane. We also give geometric meanings for the conditions in the criterion of…”
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Three-dimensional topological radiogenomics of epidermal growth factor receptor Del19 and L858R mutation subtypes on computed tomography images of lung cancer patients
Published in Computer methods and programs in biomedicine (01-06-2023)“…•A 3DBN-based algorithm extracted topologically invariant lung cancer CT traits.•3DBN features could feasibly classify EGFR wild-type and Del19/L858R…”
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Capturing information on curves and surfaces from their projected images
Published in International journal of mathematics for industry (Online) (01-12-2020)“…Obtaining complete information about the shape of an object by looking at it from a single direction is impossible in general. In this paper, we theoretically…”
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5
Recognition of plane-to-plane map-germs
Published in Topology and its applications (01-04-2016)“…We present a complete set of criteria for determining A-types of plane-to-plane map-germs of corank one with A-codimension≤6, which provides a new insight into…”
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6
On discrete constant principal curvature surfaces
Published in Computer aided geometric design (01-06-2024)“…It has been recently discovered that a certain class of nanocarbon materials has geometrical properties related to the geometry of discrete surfaces with a…”
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Contact Cylindrical Surfaces and a Projection of a Surface Around a Parabolic Point
Published in Arnold mathematical journal (25-06-2024)Get full text
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One‐parameter families of Legendre curves and plane line congruences
Published in Mathematische Nachrichten (01-08-2022)“…Families of curves in the Euclidean plane naturally contain singular curves, where the frame of classical differential geometry does not work well. We…”
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A view-parametric extension of the d'Ocagne formula for a surface in $\mathbb{R}^3
Published 08-10-2023“…In this paper, we consider the orthogonal projection of a surface in $\mathbb{R}^3$ for a given view direction. We then introduce and investigate several…”
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Criteria for sharksfin and deltoid singularities from the plane into the plane and their applications
Published 19-01-2021“…We give criteria for sharksfin and deltoid singularities from the plane into the plane. We also give geometric meanings for the conditions in the criterion of…”
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Singularities in bivariate normal mixtures
Published 01-10-2024“…We investigate mappings $F = (f_1, f_2) \colon \mathbb{R}^2 \to \mathbb{R}^2 $ where $ f_1, f_2 $ are bivariate normal densities from the perspective of…”
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Algebraic approach to maximum likelihood factor analysis
Published 12-02-2024“…In exploratory factor analysis, model parameters are usually estimated by maximum likelihood method. The maximum likelihood estimate is obtained by solving a…”
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13
Contact cylindrical surfaces and a projection of a surface around a parabolic point
Published 14-06-2022“…We investigate differential geometric properties of a parabolic point of a surface in the Euclidean three space. We introduce the contact cylindrical surface…”
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14
A novel symmetry in nanocarbons: pre-constant discrete principal curvature structure
Published 27-06-2023“…Since the first-principles calculations in quantum chemistry precisely provide possible configurations of carbon atoms in nanocarbons, we have analyzed the…”
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15
Recognition of plane-to-plane map-germs
Published 30-03-2015“…We present a complete set of criteria for determining A-types of plane-to-plane map-germs of corank one with A-codimension <7, which provides a new insight…”
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16
Capturing information on curves and surfaces from their projected images
Published 07-10-2020“…Internat. J. Math. for Industry, 2050004, September 2020 Obtaining complete information about the shape of an object by looking at it from a single direction…”
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Topology of Pareto sets of strongly convex problems
Published 07-04-2019“…A multiobjective optimization problem is simplicial if the Pareto set and front are homeomorphic to a simplex and, under the homeomorphisms, each face of the…”
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18
Projection of crosscap
Published 23-05-2018“…We determine the precise bifurcation diagrams of the apparent contours of generic crosscaps, which contain the information of bifurcations with respect to the…”
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Projective classification of jets of surfaces in $\mathbb{P}^4
Published 23-01-2016“…We are interested in the local extrinsic geometry of smooth surfaces in 4-space, and classify jets of Monge forms by projective transformations according to…”
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Binary differential equations at parabolic and umbilical points for $2$-parameter families of surfaces
Published 16-08-2017“…We determine local topological types of binary differential equations of asymptotic curves at parabolic and flat umbilical points for generic $2$-parameter…”
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