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Everything about Regular grid
Tessellation of Euclidean space
A regular grid is a tessellation of n-dimensional Euclidean space by congruent parallelotopes. Its opposite is irregular grid. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Regular gridA 5-minute orientation
- Skim a recent paper: ERA*: Enhanced Relaxed A* algorithm for solving the shortest path problem in regular grid mapsInfluential work since 2022
- Pick up a classic book: Java software solutionsThe most-reprinted book on the subject
- Read the landmark paper: Calculating catchment area with divergent flow based on a regular gridCited 650 times
- Go sideways: ParallelepipedA closely related topic
- Go sideways: Grid classificationA closely related topic
📖 Definitions
Noun a tessellation of Euclidean space into congruent rectangles, parallelograms, cuboids, or more generally, parallelotopes
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Calculating catchment area with divergent flow based on a regular grid
Higher-order interpolation of regular grid digital elevation models
Resampling Images to a Regular Grid From a Non-Regular Subset of Pixel Positions Using Frequency Selective Reconstruction
Direct numerical simulation of turbulent mixing in regular and fractal grid turbulence
High-Schmidt-number scalar transfer in regular and fractal grid turbulence
Generalized regular k-point grid generation on the fly
On Regular Resource Grid for Filtered OFDM
Effects of multi-scale and regular grid geometries on decaying turbulence
🆕 Influential since 2022
ERA*: Enhanced Relaxed A* algorithm for solving the shortest path problem in regular grid maps
A Two-Step Grid–Coordinate Optimization Method for a Wind Farm with a Regular Layout Using a Genetic Algorithm
A Polynomial Time Solvable Capacitated Arc Routing Problem on Regular Grid Graphs
Packing problems on generalised regular grid: Levels of abstraction using integer linear programming
A Long-Time-Step-Permitting Tracer Transport Model on the Regular Latitude–Longitude Grid
📚 Books worth reading
Java software solutionsLewis, John, John E. Lewis Ph. D. · 1997
Bulletin of the United States Army Medical DepartmentUnited States. Army Medical Service. · 1944
Automate the Boring Stuff with PythonAl Sweigart · 2015
Introduction to Computing Using PythonLjubomir Perkovic · 2011
The Conspirators HierarchyJohn Coleman · 1992
Smart Grid SecurityJorge Cuellar · 2013
Urban GridsJoan Busquets, Dingliang Yang · 2018- 📕Word Search Puzzles - Words from Genesis : Regular Print SizeEdwith Aral · 2021
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Parallelepiped In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning).…
- Grid classification In applied mathematics, a grid or mesh is defined as the set of smaller shapes formed after discretisation of a geometric domain. Meshing has applications…
- Hyperrectangle In geometry, a hyperrectangle (also called a box, hyperbox, k-cell or orthotope), is the generalization of a rectangle (a plane figure) and the rectangular…
- Discrete Laplace operator In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete…
- Tetrahedral-octahedral honeycomb The tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It is…
- Cubic honeycomb The cubic honeycomb or cubic cellulation is the only proper regular space-filling tessellation (or honeycomb) in Euclidean 3-space made up of cubic cells…
- Unstructured grid An unstructured grid or irregular grid is a tessellation of a part of the Euclidean plane or Euclidean space by simple shapes, such as triangles or tetrahedra…
- Cube A cube is a three-dimensional solid object in geometry. It has eight vertices and twelve straight edges of the same length, so that these edges form six…