Differences in skeletal growth patterns: an exploratory approach using elliptic Fourier analysis
Sign Up to like & getrecommendations! Published in 2020 at "Clinical Oral Investigations"
DOI: 10.1007/s00784-020-03509-9
Abstract: Apply elliptic Fourier analysis to find shape differences among the hypodivergent, normodivergent, and hyperdivergent growth patterns in skeletal classes I, II and, III in mandibular and maxillary curves and evaluate the discriminatory capacity of these… read more here.
Keywords: classes iii; fourier analysis; elliptic fourier; growth patterns ... See more keywords
From a Random Polygon in $$\mathbb {R}^m$$Rm to an Ellipse: A Fourier Analysis of Iterated Circular Convolutions
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-017-0320-x
Abstract: We consider random, skew, N-gons in $$\mathbb {R}^m$$Rm, having zero centroids. We investigate a normalized, midpoint averaging transformation, repeatedly applied to the original polygon, which we identify with a normalized circular convolution modulo N. The… read more here.
Keywords: polygon; ellipse; circular convolutions; case ... See more keywords
Quantum higher-order Fourier analysis and the Clifford hierarchy
Sign Up to like & getrecommendations! Published in 2025 at "Proceedings of the National Academy of Sciences of the United States of America"
DOI: 10.1073/pnas.2515667122
Abstract: Significance Quantum Fourier analysis is a powerful tool in mathematical physics. Here, we introduce quantum, higher-order Fourier analysis (q-HOFA). We explore some mathematical properties of this theory and show that it provides a way to… read more here.
Keywords: order fourier; higher order; quantum higher; fourier analysis ... See more keywords
Fourier Analysis of MAC Polarization
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Information Theory"
DOI: 10.1109/isit.2015.7282691
Abstract: One problem with multiple access channel (MAC) polar codes that are based on MAC polarization is that they may not achieve the entire capacity region. The reason behind this problem is that MAC polarization sometimes… read more here.
Keywords: capacity region; analysis mac; polarization; fourier analysis ... See more keywords
Fourier-Analysis-Based Form of Normalized Maximum Likelihood: Exact Formula and Relation to Complex Bayesian Prior
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2021.3088304
Abstract: Normalized maximum likelihood (NML) distribution of probabilistic model gives the optimal code length function in the sense of minimax regret. Despite its optimal property, the calculation of NML distribution is not easy, and existing efficient… read more here.
Keywords: maximum likelihood; fourier analysis; distribution; nml distribution ... See more keywords
Application of Elliptical Fourier Analysis and Color Properties in Hazelnut Classification Using Machine Learning Algorithms
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Food Process Engineering"
DOI: 10.1111/jfpe.70179
Abstract: The accurate classification of hazelnut cultivars is critical for ensuring product consistency, quality control, and market competitiveness in the food industry. Conventional identification methods remain manual, time‐consuming, and error‐prone, highlighting the need for automated alternatives.… read more here.
Keywords: classification; elliptical fourier; machine learning; machine ... See more keywords
Fourier analysis in single photon imaging.
Sign Up to like & getrecommendations! Published in 2024 at "Optics express"
DOI: 10.1364/oe.522742
Abstract: Single photon imaging has become an established sensing approach. Compared to intensity imaging, versatile advantages have been demonstrated, such as imaging with high sensitivity, at a high frame rate, and with a high dynamic range.… read more here.
Keywords: photon; analysis single; photon imaging; fourier analysis ... See more keywords
A Novel Approach to Transient Fourier Analysis for Electrical Engineering Applications
Sign Up to like & getrecommendations! Published in 2024 at "Applied Sciences"
DOI: 10.3390/app14219888
Abstract: This paper presents a detailed investigation into the application of transient Fourier analysis in select electrical engineering contexts. Two novel approaches for addressing transient analysis are introduced. The first approach combines the Fourier series with… read more here.
Keywords: transient; analysis; fourier analysis; electrical engineering ... See more keywords
Hermite Functions, Lie Groups and Fourier Analysis
Sign Up to like & getrecommendations! Published in 2018 at "Entropy"
DOI: 10.3390/e20110816
Abstract: In this paper, we present recent results in harmonic analysis in the real line R and in the half-line R+, which show a closed relation between Hermite and Laguerre functions, respectively, their symmetry groups and… read more here.
Keywords: hermite functions; analysis; lie groups; fourier analysis ... See more keywords