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Everything about Hexagonal sampling
A multidimensional signal is a function of M independent variables where. Real world signals, which are generally continuous time signals, have to be discretized (sampled) in order to ensure that digital systems can be used to process the signals. It is during this process of discretization where sampling comes into picture. Although there are many ways of obtaining a discrete representation of a continuous time signal, periodic sampling is by far the simplest scheme. Theoretically, sampling can be performed with respect to any set of points. But practically, sampling is carried out with respect to a set of points that have a certain algebraic structure. Such structures are called lattices. Mathematically, the process of sampling an -dimensional signal can be written as: Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Hexagonal samplingA 5-minute orientation
- Skim a recent paper: A Hexagonal Grid-Sampling Scheme for Improving X-Ray Diffraction-Retained Austenite Measurements of Sheet SteelsInfluential work since 2022
- Pick up a classic book: Quantitative graph theoryThe most-reprinted book on the subject
- Read the landmark paper: The design of hexagonal sampling structures for image digitization and their use with local operatorsCited 50 times
- Go sideways: Multidimensional samplingA closely related topic
- Go sideways: Multidimensional transformA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The design of hexagonal sampling structures for image digitization and their use with local operators
A Precision Evaluation Index System for Remote Sensing Data Sampling Based on Hexagonal Discrete Grids
Phase equilibrium of liquid water and hexagonal ice from enhanced sampling molecular dynamics simulations
HEXA-GAN: Skin lesion image inpainting via hexagonal sampling based generative adversarial network
Hexagonal sampling techniques applied to Fourier and Fresnel digital holograms
A hexagonal sampling grid for 3D recording and processing of 3D seismic data
Analysis of time-sequential sampling with a spatially hexagonal lattice
Performance Comparison of DCT Based Image Compression on Hexagonal and Rectangular Sampling Grid
🆕 Influential since 2022
A Hexagonal Grid-Sampling Scheme for Improving X-Ray Diffraction-Retained Austenite Measurements of Sheet Steels
Acceleration of slice encoding for metal artifact correction at 0. 55 T using hexagonal sampling
Research on the Coupled Modulation Transfer Function of the Discrete Sampling System with Hexagonal Fiber-Optic Imaging Bundles
Inverse-Directed Propagation-Based Hexagonal Hogel Sampling for Holographic Stereogram Printing System
Hexagonal modulation of theta rhythmic attentional sampling of visual space
📚 Books worth reading
- 📕Quantitative graph theoryMatthias Dehmer, Frank Emmert-Streib · 2014
- 📕Motion tracking of objects in hexagonally-sampled binary imagesBrahim Boulebtateche · 1987
- 📕Size characterization of latex spheres by optical methodsFlorian Rémi Robillard · 1975
- 📕Magnetic Oxides and CompositesRajshree B. Jotania, Sami H. Mahmood · 2018
ICACIEM 2017 · 2017
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Hexagonal Efficient Coordinate System The Hexagonal Efficient Coordinate System (HECS), formerly known as Array Set Addressing (ASA), is a coordinate system for hexagonal grids that allows…
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- Multidimensional seismic data processing Multidimensional seismic data processing forms a major component of seismic profiling, a technique used in geophysical exploration. The technique itself…
- Hexagonal fast Fourier transform The hexagonal fast Fourier transform (HFFT) is a tool in image and signal processing which uses fast Fourier transform (FFT) routines to compute the discrete…
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