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Triangulated terrain near Horseshoe Bend, Arizona.

rqtreemesh

rqtreemesh is a basic implementation of restricted quadtree triangulation (RQT), for converting raster heightmaps to 3D meshes. For an overview of RQT-based mesh generation, see

Pajarola, Renato. "Overview of Quadtree-based Terrain Triangulation and Visualization." (2002).

Implemented in C++ with a pybind11 wrapper for Python.

Quick Start

git clone --recursive this repo and run pip install . on it.

Alternatively:

pip install rqtreemesh.

This package requires Numpy and Pillow.

Usage

Functionality is provided by the Heightmap class.

from rqtreemesh import Heightmap

Two constructors are available:

heightmap = Heightmap(array: np.ndarray, pixel_dim: float, top_left_x: float, top_left_y: float)

Parameters

array: np.ndarray

Input raster heightmap as a 2-dimensional numpy array where each dimension is a power of two. E.g. 1024 x 2048. Maximum size is 32768 x 32768.

 pixel_dim: float

The spatial dimension of one pixel in the input heightmap.

top_left_x:  float, top_left_y:  float

The x and y locations of the top left corner of the input heightmap. Note that this location is not the center of the top left pixel, but rather its top left corner.

Alternatively:

heightmap = Heightmap.from_geotiff(path: str)

Parameters

path: str

Path to input raster heightmap in geoTIFF format with dimesnsions a power of two. E.g. 1024 x 2048. Maximum size is 32768 x 32768. The geolocation and spatial resolution of the heightmap will be obtained from the appropriate tags in the geoTIFF.

Note that rqtreemesh was developed for converting Digital Elevation Models (DEMs) . For other heightmaps, such as where all values are between $0$ and $1$, scaling the Heightmap.array or Heightmap.pixel_dim may be necessary to obtain the desired result. Also take care when converting a DEM with planar units not equal to its elevation units (e.g. Geographic/WGS84 projection).

To generate a mesh, use the generate_mesh method.

heightmap = Heightmap...
(vertices, triangles) = heightmap.generate_mesh(max_error: float, show_progress: bool = False) -> Tuple[np.ndarray, np.ndarray]

Parameters

max_error: float

The maximum absolute vertical distance between the input heightmap and the resulting mesh.

show_progress: bool = False

Show a progress bar while generating the mesh. Default value: False.

Returns

(vertices, triangles): Tuple[np.ndarray, np.ndarray]

A tuple containing the output mesh. vertices is an array where each row contains the x, y and z coordinates of a vertex. triangles is a connectivity matrix, i.e. an array where each row contains a triangle as three (zero-indexed) indices into the first element.

To provide easy compatibility with most 3D software, basic exporters to the Wavefront Object (.obj) and Stereolithography (.stl) formats are provided:

from rqtreemesh import write_obj, write_stl
write_obj(path: str, verts: np.ndarray, triangles: np.ndarray, flip_zy: bool = False)
write_stl(path: str, verts: np.ndarray, triangles: np.ndarray)

Parameters

path: str

The output file path.

verts: np.ndarray, triangles: np.ndarray

A coordinate array and connectivity matrix, such as the output of generate_mesh.

flip_zy: bool = True

Interchange the z and y axes of the exported mesh (only for .obj export). Default value: False.

Triangulation of a 2 meter per pixel resolution heightmap of East Pawnee Butte, Colorado. A maximum error of 0 meters results in a mesh consisting of 32768 triangles (left). A maximum error of 0.5 meters produces 8156 triangles (middle), and a maximum error of 1 meter produces 4074 triangles (right).

Project links

Key dates

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Latest release

1 maintainer

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Avatar for philipschall from gravatar.com philipschall

Credits

Author: Philip Schall

License

Public Domain (Unlicense)

Requires

Python >=3.9

Classifiers

Metadata

Project links

Key dates

PyPI data
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  • Released:
Latest release

1 maintainer

PyPI data
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Avatar for philipschall from gravatar.com philipschall

Credits

Author: Philip Schall

License

Public Domain (Unlicense)

Requires

Python >=3.9

Classifiers

Release files for rqtreemesh 1.0.1

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Built distributions (wheels)

Table of built distributions (wheels) for rqtreemesh 1.0.1
File Actions
rqtreemesh-1.0.1-pp310-pypy310_pp73-win_amd64.whl 70.6 kB Without provenance PyPy 3.10 PyPy 3.10 7.3 Windows x86-64 Details for rqtreemesh-1.0.1-pp310-pypy310_pp73-win_amd64.whl
rqtreemesh-1.0.1-pp310-pypy310_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 104.7 kB Without provenance PyPy 3.10 PyPy 3.10 7.3 Linux glibc 2.17+ x86-64 Details for rqtreemesh-1.0.1-pp310-pypy310_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
rqtreemesh-1.0.1-pp310-pypy310_pp73-manylinux_2_17_i686.manylinux2014_i686.whl 113.9 kB Without provenance PyPy 3.10 PyPy 3.10 7.3 Linux glibc 2.17+ x86-32 Details for rqtreemesh-1.0.1-pp310-pypy310_pp73-manylinux_2_17_i686.manylinux2014_i686.whl
rqtreemesh-1.0.1-pp310-pypy310_pp73-macosx_11_0_arm64.whl 69.4 kB Without provenance PyPy 3.10 PyPy 3.10 7.3 macOS 11.0+ ARM64 Details for rqtreemesh-1.0.1-pp310-pypy310_pp73-macosx_11_0_arm64.whl
rqtreemesh-1.0.1-pp39-pypy39_pp73-win_amd64.whl 70.6 kB Without provenance PyPy 3.9 PyPy 3.9 7.3 Windows x86-64 Details for rqtreemesh-1.0.1-pp39-pypy39_pp73-win_amd64.whl
rqtreemesh-1.0.1-pp39-pypy39_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 104.5 kB Without provenance PyPy 3.9 PyPy 3.9 7.3 Linux glibc 2.17+ x86-64 Details for rqtreemesh-1.0.1-pp39-pypy39_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
rqtreemesh-1.0.1-pp39-pypy39_pp73-manylinux_2_17_i686.manylinux2014_i686.whl 113.8 kB Without provenance PyPy 3.9 PyPy 3.9 7.3 Linux glibc 2.17+ x86-32 Details for rqtreemesh-1.0.1-pp39-pypy39_pp73-manylinux_2_17_i686.manylinux2014_i686.whl
rqtreemesh-1.0.1-pp39-pypy39_pp73-macosx_11_0_arm64.whl 69.4 kB Without provenance PyPy 3.9 PyPy 3.9 7.3 macOS 11.0+ ARM64 Details for rqtreemesh-1.0.1-pp39-pypy39_pp73-macosx_11_0_arm64.whl
rqtreemesh-1.0.1-cp312-cp312-win_amd64.whl 71.5 kB Without provenance CPython 3.12 CPython 3.12 Windows x86-64 Details for rqtreemesh-1.0.1-cp312-cp312-win_amd64.whl
rqtreemesh-1.0.1-cp312-cp312-win32.whl 66.0 kB Without provenance CPython 3.12 CPython 3.12 Windows x86-32 Details for rqtreemesh-1.0.1-cp312-cp312-win32.whl
rqtreemesh-1.0.1-cp312-cp312-musllinux_1_1_x86_64.whl 627.7 kB Without provenance CPython 3.12 CPython 3.12 Linux musl 1.1+ x86-64 Details for rqtreemesh-1.0.1-cp312-cp312-musllinux_1_1_x86_64.whl
rqtreemesh-1.0.1-cp312-cp312-musllinux_1_1_i686.whl 689.3 kB Without provenance CPython 3.12 CPython 3.12 Linux musl 1.1+ x86-32 Details for rqtreemesh-1.0.1-cp312-cp312-musllinux_1_1_i686.whl
rqtreemesh-1.0.1-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 112.8 kB Without provenance CPython 3.12 CPython 3.12 Linux glibc 2.17+ x86-64 Details for rqtreemesh-1.0.1-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
rqtreemesh-1.0.1-cp312-cp312-manylinux_2_17_i686.manylinux2014_i686.whl 122.6 kB Without provenance CPython 3.12 CPython 3.12 Linux glibc 2.17+ x86-32 Details for rqtreemesh-1.0.1-cp312-cp312-manylinux_2_17_i686.manylinux2014_i686.whl
rqtreemesh-1.0.1-cp312-cp312-macosx_11_0_arm64.whl 68.9 kB Without provenance CPython 3.12 CPython 3.12 macOS 11.0+ ARM64 Details for rqtreemesh-1.0.1-cp312-cp312-macosx_11_0_arm64.whl
rqtreemesh-1.0.1-cp311-cp311-win_amd64.whl 71.5 kB Without provenance CPython 3.11 CPython 3.11 Windows x86-64 Details for rqtreemesh-1.0.1-cp311-cp311-win_amd64.whl
rqtreemesh-1.0.1-cp311-cp311-win32.whl 65.7 kB Without provenance CPython 3.11 CPython 3.11 Windows x86-32 Details for rqtreemesh-1.0.1-cp311-cp311-win32.whl
rqtreemesh-1.0.1-cp311-cp311-musllinux_1_1_x86_64.whl 627.6 kB Without provenance CPython 3.11 CPython 3.11 Linux musl 1.1+ x86-64 Details for rqtreemesh-1.0.1-cp311-cp311-musllinux_1_1_x86_64.whl
rqtreemesh-1.0.1-cp311-cp311-musllinux_1_1_i686.whl 690.4 kB Without provenance CPython 3.11 CPython 3.11 Linux musl 1.1+ x86-32 Details for rqtreemesh-1.0.1-cp311-cp311-musllinux_1_1_i686.whl
rqtreemesh-1.0.1-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 112.1 kB Without provenance CPython 3.11 CPython 3.11 Linux glibc 2.17+ x86-64 Details for rqtreemesh-1.0.1-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
rqtreemesh-1.0.1-cp311-cp311-manylinux_2_17_i686.manylinux2014_i686.whl 121.5 kB Without provenance CPython 3.11 CPython 3.11 Linux glibc 2.17+ x86-32 Details for rqtreemesh-1.0.1-cp311-cp311-manylinux_2_17_i686.manylinux2014_i686.whl
rqtreemesh-1.0.1-cp311-cp311-macosx_11_0_arm64.whl 70.1 kB Without provenance CPython 3.11 CPython 3.11 macOS 11.0+ ARM64 Details for rqtreemesh-1.0.1-cp311-cp311-macosx_11_0_arm64.whl
rqtreemesh-1.0.1-cp310-cp310-win_amd64.whl 70.4 kB Without provenance CPython 3.10 CPython 3.10 Windows x86-64 Details for rqtreemesh-1.0.1-cp310-cp310-win_amd64.whl
rqtreemesh-1.0.1-cp310-cp310-win32.whl 64.4 kB Without provenance CPython 3.10 CPython 3.10 Windows x86-32 Details for rqtreemesh-1.0.1-cp310-cp310-win32.whl
rqtreemesh-1.0.1-cp310-cp310-musllinux_1_1_x86_64.whl 626.3 kB Without provenance CPython 3.10 CPython 3.10 Linux musl 1.1+ x86-64 Details for rqtreemesh-1.0.1-cp310-cp310-musllinux_1_1_x86_64.whl
rqtreemesh-1.0.1-cp310-cp310-musllinux_1_1_i686.whl 689.1 kB Without provenance CPython 3.10 CPython 3.10 Linux musl 1.1+ x86-32 Details for rqtreemesh-1.0.1-cp310-cp310-musllinux_1_1_i686.whl
rqtreemesh-1.0.1-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 110.5 kB Without provenance CPython 3.10 CPython 3.10 Linux glibc 2.17+ x86-64 Details for rqtreemesh-1.0.1-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
rqtreemesh-1.0.1-cp310-cp310-manylinux_2_17_i686.manylinux2014_i686.whl 120.2 kB Without provenance CPython 3.10 CPython 3.10 Linux glibc 2.17+ x86-32 Details for rqtreemesh-1.0.1-cp310-cp310-manylinux_2_17_i686.manylinux2014_i686.whl
rqtreemesh-1.0.1-cp310-cp310-macosx_11_0_arm64.whl 68.7 kB Without provenance CPython 3.10 CPython 3.10 macOS 11.0+ ARM64 Details for rqtreemesh-1.0.1-cp310-cp310-macosx_11_0_arm64.whl
rqtreemesh-1.0.1-cp39-cp39-win_amd64.whl 70.3 kB Without provenance CPython 3.9 CPython 3.9 Windows x86-64 Details for rqtreemesh-1.0.1-cp39-cp39-win_amd64.whl
rqtreemesh-1.0.1-cp39-cp39-win32.whl 64.5 kB Without provenance CPython 3.9 CPython 3.9 Windows x86-32 Details for rqtreemesh-1.0.1-cp39-cp39-win32.whl
rqtreemesh-1.0.1-cp39-cp39-musllinux_1_1_x86_64.whl 626.6 kB Without provenance CPython 3.9 CPython 3.9 Linux musl 1.1+ x86-64 Details for rqtreemesh-1.0.1-cp39-cp39-musllinux_1_1_x86_64.whl
rqtreemesh-1.0.1-cp39-cp39-musllinux_1_1_i686.whl 689.0 kB Without provenance CPython 3.9 CPython 3.9 Linux musl 1.1+ x86-32 Details for rqtreemesh-1.0.1-cp39-cp39-musllinux_1_1_i686.whl
rqtreemesh-1.0.1-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 109.9 kB Without provenance CPython 3.9 CPython 3.9 Linux glibc 2.17+ x86-64 Details for rqtreemesh-1.0.1-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
rqtreemesh-1.0.1-cp39-cp39-manylinux_2_17_i686.manylinux2014_i686.whl 119.6 kB Without provenance CPython 3.9 CPython 3.9 Linux glibc 2.17+ x86-32 Details for rqtreemesh-1.0.1-cp39-cp39-manylinux_2_17_i686.manylinux2014_i686.whl
rqtreemesh-1.0.1-cp39-cp39-macosx_11_0_arm64.whl 68.8 kB Without provenance CPython 3.9 CPython 3.9 macOS 11.0+ ARM64 Details for rqtreemesh-1.0.1-cp39-cp39-macosx_11_0_arm64.whl

Total release size: 7.7 MB

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