Generalised 3D Morton and Hilbert Orderings
Computational Geometry
2023-09-28 v1 Data Structures and Algorithms
Authors:
David Walker
Abstract
This document describes algorithms for generating general Morton and Hilbert orderings for three-dimensional data volumes.
Cite
@article{arxiv.2309.15199,
title = {Generalised 3D Morton and Hilbert Orderings},
author = {David Walker},
journal= {arXiv preprint arXiv:2309.15199},
year = {2023}
}
Related papers
View all related →
Data Structures and Algorithms · Computer Science
Algorithms for Encoding and Decoding 3D Hilbert Orderings
David Walker
2023-09-26
Symbolic Computation · Computer Science
Encoding and Decoding Algorithms for Arbitrary Dimensional Hilbert Order
Hui Liu, Tao Cui, Wei Leng, Linbo Zhang
2016-01-07
Optimization and Control · Mathematics
Third-Order Dynamical Systems for Generalized Inverse Mixed Variational Inequality Problems
Nam Van Tran
2026-02-13
Computation · Statistics
Algorithm for multivariate data standardization up to third moment
Vadim Asnin
2012-04-19
Computational Geometry · Computer Science
Generalizing The Morley Trisector and Various Theorems with Realizability Computations
Eric J. Braude
2016-03-14
Category Theory · Mathematics
Termination orders for 3-dimensional rewriting
Yves Guiraud
2007-05-23
Computational Geometry · Computer Science
Efficient and Global Optimization-Based Smoothing Methods for Mixed-Volume Meshes
Dimitris Vartziotis, Benjamin Himpel
2013-07-09
Number Theory · Mathematics
Generalized 3x+1 Mappings : convergence and divergence
Robert Tremblay
2020-03-24
Algebraic Geometry · Mathematics
A database of basic numerical invariants of Hilbert modular surfaces
Eran Assaf, Angelica Babei, Ben Breen, Edgar Costa +7
2023-08-22
Combinatorics · Mathematics
Some examples of universal and generic partial orders
Jaroslav Nesetril, Jan Hubicka
2013-02-07
Functional Analysis · Mathematics
Hilbert Matrix and Difference Operator of Order m
Murat Kirişci, Harun Polat
2016-09-07
General Mathematics · Mathematics
Automated Generation of Triangle Geometry Theorems
Alexander Skutin
2022-12-13
Mathematical Software · Computer Science
Mixed-Order Meshes through rp-adaptivity for Surface Fitting to Implicit Geometries
Ketan Mittal, Veselin A. Dobrev, Patrick Knupp, Tzanio Kolev +3
2024-01-30
Dynamical Systems · Mathematics
A geometric iterated function system on triangles
Jiajun Wang, Ying Zhang
2016-05-09
Category Theory · Mathematics
Termination orders for 3-polygraphs
Yves Guiraud
2007-05-23
Exactly Solvable and Integrable Systems · Physics
The Riemann-Hilbert Problem for the Bi-Orthogonal Polynomials
Andrei A. Kapaev
2008-11-26
Classical Analysis and ODEs · Mathematics
Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals
Howard S. Cohl, Connor MacKenzie, Hans Volkmer
2013-02-12
Mathematical Physics · Physics
Generalized Quaternion and Rotation in 3-space E (3-alfa,beta)
Mehdi Jafari, Yusuf Yayli
2017-03-10
Computer Vision and Pattern Recognition · Computer Science
A General Homogeneous Matrix Formulation to 3D Rotation Geometric Transformations
Feng Lu, Ziqiang Chen
2024-11-04
Logic in Computer Science · Computer Science
Ordered Sets for Data Analysis
Sergei O. Kuznetsov
2019-08-30
Classical Analysis and ODEs · Mathematics
Algorithm xxx --- ORTHPOL: A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
Walter Gautschi
2025-10-20
Combinatorics · Mathematics
On the third-order Horadam and geometric mean sequences
Gamaliel Cerda-Morales
2021-08-05
Combinatorics · Mathematics
The three-point function of general planar maps
Éric Fusy, Emmanuel Guitter
2015-07-21
Mathematical Physics · Physics
On a class of three dimensional quadratic Hamiltonian systems
Răzvan M. Tudoran
2012-05-25
Number Theory · Mathematics
A generalization of the Mordell integral
Dandan Chen, Rong Chen, Sander Zwegers
2025-11-04