DiscreteMorseR: Discrete Morse Theory for 3D Meshes Derived from Point Clouds

Ultra-fast computation of discrete Morse (Marston Morse) gradient vector fields and critical simplices (0-simplices: vertices, 1-simplices: edges, 2-simplices: faces) on 3D triangular meshes from point clouds. Provides C++ backend with parallel processing for large-scale topological analysis, including connected component analysis and visualization tools. Perfect for Light Detection and Ranging ('LiDAR') data, computational topology, and geometric analysis applications. The implementation follows Forman (1998) <doi:10.1007/PL00009307> for discrete Morse theory, with extensions for 3D mesh processing.

Version:	1.0.0
Depends:	R (≥ 3.5.0)
Imports:	Rcpp (≥ 1.0.10), dplyr (≥ 1.0.0), purrr (≥ 0.3.0), stringr (≥ 1.4.0), data.table (≥ 1.12.0), gtools (≥ 3.8.0), readr (≥ 1.3.0), future (≥ 1.18.0), furrr (≥ 0.2.0)
LinkingTo:	Rcpp, RcppArmadillo
Suggests:	clustermq (≥ 0.8.0), ggplot2 (≥ 3.3.0), testthat (≥ 3.0.0), knitr (≥ 1.30), rmarkdown (≥ 2.0), tictoc
Published:	2026-07-16
DOI:	10.32614/CRAN.package.DiscreteMorseR (may not be active yet)
Author:	Gergo Dioszegi [aut, cre, cph]
Maintainer:	Gergo Dioszegi <dijogergo at gmail.com>
BugReports:	https://github.com/DijoG/DiscreteMorseR/issues
License:	MIT + file LICENSE
URL:	https://github.com/DijoG/DiscreteMorseR
NeedsCompilation:	yes
SystemRequirements:	C++17
Language:	en-US
Materials:	README
CRAN checks:	DiscreteMorseR results

Documentation:

Reference manual:

DiscreteMorseR.html , DiscreteMorseR.pdf

Downloads:

Package source:	DiscreteMorseR_1.0.0.tar.gz
Windows binaries:	r-devel: not available, r-release: not available, r-oldrel: not available
macOS binaries:	r-release (arm64): DiscreteMorseR_1.0.0.tgz, r-oldrel (arm64): DiscreteMorseR_1.0.0.tgz, r-release (x86_64): DiscreteMorseR_1.0.0.tgz, r-oldrel (x86_64): DiscreteMorseR_1.0.0.tgz

Linking:

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