Journal ArticleDOI
A trivariate clough-tocher scheme for tetrahedral data
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TLDR
An interpolation scheme is described for values of position, gradient and Hessian at scattered points in three variables that reproduces polynomials of degree up to three exactly.About:
This article is published in Computer Aided Geometric Design.The article was published on 1984-11-01. It has received 194 citations till now. The article focuses on the topics: Interpolation & Piecewise.read more
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Journal ArticleDOI
Triangular Berstein-Be´zier patches
TL;DR: The C’ Powell-Sabin interpolants and the Clough-Tocher split are described, respectively, as well as the general case, Split Triangle Interpolants and Split Triangle square interpolants, which are described as follows:.
Proceedings Article
Learning Representations from EEG with Deep Recurrent-Convolutional Neural Networks
TL;DR: In this paper, a deep recurrent convolutional network was proposed to learn robust representations from multi-channel EEG time-series, and demonstrated its advantages in the context of mental load classification task.
Proceedings ArticleDOI
Automatic reconstruction of surfaces and scalar fields from 3D scans
TL;DR: This work presents an efficient and uniform approach for the automatic reconstruction of surfaces of CAD (computer aided design) models and scalar fields defined on them, from an unorganized collection of scanned point data.
Journal ArticleDOI
Hierarchical Convolutional Neural Networks for EEG-Based Emotion Recognition
TL;DR: Benefiting from the strong representational learning capacity in the two-dimensional space, HCNN is efficient in emotion recognition especially on Beta and Gamma waves.
References
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Book
Numerical Analysis
TL;DR: This report contains a description of the typical topics covered in a two-semester sequence in Numerical Analysis, and describes the accuracy, efficiency and robustness of these algorithms.
Journal ArticleDOI
Polynomial approximation on tetrahedrons in the finite element method
TL;DR: In this paper, the main aim of the paper is to derive an interpolation theorem (Theorem 1) which implies both a construction of once continuously differentiable functions which are piecewise polynomial in a domain divided into tetrahedrons (Corollary 1 and Theorem 2) and convergence theorems of the finite element method for solving three-dimensional elliptic boundary value problems of the fourth order.
Journal ArticleDOI
C1 quintic interpolation over triangles: Two explicit representations
R. E. Barnhill,G. Farin +1 more
TL;DR: In this paper, two explicit representations of a C1 quintic interpolant over triangles are derived by generalization of Coons' methods and Bernstein-Bezier methods, respectively.