Results 31 to 40 of about 737 (123)
Journal of Chemometrics, Volume 40, Issue 6, June 2026.ABSTRACT Hyperspectral unmixing is a well‐established approach for analyzing spectroscopic images by recovering chemically interpretable component spectra and their spatial distributions. Despite its distinct analytical objective, unmixing is frequently discussed alongside or directly compared with more familiar multivariate techniques such as ...
Rustam R. Guliev, Ute Neugebauer
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Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization
International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 4, April 2026.We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
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Differential Barycentric Coordinates
, 2021 We describe an optimized way to compute differential barycentric coordinates, which can be employed by implementations of ray differentials. This technique can be used for texture filtering computations for ray tracing.
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Surface normals and barycentric coordinates [PDF]
Mathematical Problems in Engineering, 1996 The normal to a triangular parametric surface is investigated where the parameters used are barycentric coordinates. Formulae for the normal are obtained for non‐rational and rational surfaces.
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Metric Matrix in Barycentric Coordinates
In this paper, the concept of the metric matrix is introduced to establish a concise and unified formulation for the inner product in barycentric coordinates. Building on this framework, we explore the intrinsic algebraic identities of barycentric coordinates and their direct correspondence with geometric theorems.
A Preprint, Feng, Xi
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QUADRATIC SERENDIPITY FINITE ELEMENTS ON POLYGONS USING GENERALIZED BARYCENTRIC COORDINATES. [PDF]
Math Comput, 2014 Rand A, Gillette A, Bajaj C.
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Learning Compliant Box-in-Box Insertion through Haptic-Based Robotic Teleoperation. [PDF]
Sensors (Basel), 2023 Kana S +5 more
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An invertible, invariant crystal representation for inverse design of solid-state materials using generative deep learning. [PDF]
Nat Commun, 2023 Xiao H +6 more
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A three-dimensional vision measurement method based on double-line combined structured light. [PDF]
Sci Rep, 2023 Wang M, Sun Q, Gao C, Ren Z, Dai W.
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Circles in barycentric coordinates
Mathematical Communications, 2004 Let ABC be a fundamental triangle with the area ∆. For a circle K the powers of vertices A,B,C with regard to K divided by 2∆ are said to be the barycentric coordinates of K with respect to triangle ABC. This paper gives some theory and applications of these coordinates.
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