ndwt
N-Dimensional Wavelet transforms for real and complex signals in Rust.
Provides two transform families:
- DWT — the classic Discrete Wavelet Transform via convolution and subsampling.
- LWT — the Lifting Wavelet Transform, an in-place factorisation of the DWT that is length-preserving and cache-friendly.
Both families support 1-D and N-D transforms on arbitrary axes, multi-level decomposition,
SIMD acceleration via pulp, optional Rayon parallelism,
and real or complex element types. Adjoint (transpose) operations are provided for every
forward and inverse transform, respecting the chosen boundary extension, which makes the
transforms suitable for use in optimization and inverse problems.
Installation
[dependencies]
ndwt = "0.1"
Default features enable rayon (multi-threading), ndarray integration, and x86-v3
(AVX2/FMA) SIMD paths. See Feature flags for details.
Quick start
DWT — 1-D signal
use ndwt::Wavelet;
use ndwt::boundarys::ZeroBoundary;
use ndwt::dwt::driver::{WaveletTransform, get_transform_shape};
let wvlt = Wavelet::Daubechies4;
let level = 3;
let shape = [128_usize];
let axes = [0_usize];
let trans = WaveletTransform::new(wvlt, ZeroBoundary);
let x: Vec<f64> = (0..128).map(|i| i as f64 / 127.0).collect();
// Output is larger than input because non-periodic DWT pads at each level.
let out_shape = get_transform_shape(&shape, &axes, level, wvlt.width(), false);
let mut coeffs = vec![0.0_f64; out_shape.iter().product()];
trans.forward_multilevel_nd(&x, &mut coeffs, &shape, &axes, level);
// Reconstruct.
let mut x2 = vec![0.0_f64; 128];
trans.inverse_multilevel_nd(&mut coeffs, &mut x2, &shape, &axes, level);
LWT — 2-D image (periodic boundary)
use ndwt::Wavelet;
use ndwt::boundarys::BoundaryCondition;
use ndwt::lwt::driver::WaveletTransform;
let wvlt = Wavelet::Daubechies4;
let level = 3;
let shape = [64_usize, 64];
let axes = [0_usize, 1]; // both axes
let trans = WaveletTransform::new(wvlt, BoundaryCondition::Periodic);
let x: Vec<f64> = (0..64 * 64).map(|i| ((i as f64) * 0.17).sin()).collect();
// LWT is length-preserving: output has the same shape as input.
let mut coeffs = vec![0.0_f64; 64 * 64];
trans.forward_multilevel_nd(&x, &mut coeffs, &shape, &axes, level);
let mut x2 = vec![0.0_f64; 64 * 64];
trans.inverse_multilevel_nd(&coeffs, &mut x2, &shape, &axes, level);
Supported wavelets
| Family | Types | Module |
|---|---|---|
| Daubechies | 1–10 | ndwt::daubechies |
| Symlet | 4–6 | ndwt::symlet |
| Coiflet | 1–3 | ndwt::coiflet |
| Biorthogonal | Bior1_3 … Bior6_8 | ndwt::bior |
| CDF (JPEG 2000) | CDF5_3, CDF9_7 | ndwt::bior |
Each wavelet type is a zero-size marker struct carrying filter coefficients as compile-time
constants. The Wavelet enum
lets you select a wavelet at runtime without generics.
Boundary conditions
| Mode | Behaviour |
|---|---|
Zero |
Pads with zeros |
Periodic |
Wraps the signal |
Constant |
Extends the edge value |
Symmetric |
Mirror reflection at the boundary (edge repeated) |
Reflect |
Mirror reflection without repeating the edge sample |
Antisymmetric |
Antisymmetric reflection |
Smooth |
Linear extrapolation from the two edge samples |
Antireflect |
Antisymmetric reflect |
Compile-time boundary types (ZeroBoundary, PeriodicBoundary) are also available for
zero-cost dispatch. The BoundaryCondition enum enables runtime selection.
Feature flags
| Flag | Default | Effect |
|---|---|---|
rayon |
enabled | Multi-threaded N-D transforms via Rayon |
ndarray |
enabled | ndarray integration |
x86-v3 |
enabled | AVX2 / FMA SIMD paths (requires x86-64-v3 CPU) |
x86-v4 |
— | AVX-512 SIMD paths (requires x86-64-v4 CPU) |
Disable default features to get a minimal build with no SIMD or parallelism:
ndwt = { version = "0.1", default-features = false }
License
MIT — see LICENSE.md.
1 maintainer
Metadata
1 maintainer
Release files for ndwt 0.1.1
For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.
Source distribution (sdist)
| File | Size | Uploaded | |
|---|---|---|---|
| ndwt-0.1.1.tar.gz | 129.6 kB | Details |
Built distributions (wheels)
| File | Reset | |||
|---|---|---|---|---|
| ndwt-0.1.1-cp314-cp314t-win_arm64.whl | CPython 3.14 | CPython 3.14 free-threading | Windows ARM64 | Details |
| ndwt-0.1.1-cp314-cp314t-win_amd64.whl | CPython 3.14 | CPython 3.14 free-threading | Windows x86-64 | Details |
| ndwt-0.1.1-cp314-cp314t-musllinux_1_2_x86_64.whl | CPython 3.14 | CPython 3.14 free-threading | Linux musl 1.2+ x86-64 | Details |
| ndwt-0.1.1-cp314-cp314t-musllinux_1_2_aarch64.whl | CPython 3.14 | CPython 3.14 free-threading | Linux musl 1.2+ ARM64 | Details |
| ndwt-0.1.1-cp314-cp314t-manylinux_2_28_x86_64.whl | CPython 3.14 | CPython 3.14 free-threading | Linux glibc 2.28+ x86-64 | Details |
| ndwt-0.1.1-cp314-cp314t-manylinux_2_28_aarch64.whl | CPython 3.14 | CPython 3.14 free-threading | Linux glibc 2.28+ ARM64 | Details |
| ndwt-0.1.1-cp314-cp314t-macosx_11_0_arm64.whl | CPython 3.14 | CPython 3.14 free-threading | macOS 11.0+ ARM64 | Details |
| ndwt-0.1.1-cp314-cp314t-macosx_10_15_x86_64.whl | CPython 3.14 | CPython 3.14 free-threading | macOS 10.15+ x86-64 | Details |
| ndwt-0.1.1-cp311-abi3-win_arm64.whl | CPython 3.11 | abi3 | Windows ARM64 | Details |
| ndwt-0.1.1-cp311-abi3-win_amd64.whl | CPython 3.11 | abi3 | Windows x86-64 | Details |
| ndwt-0.1.1-cp311-abi3-musllinux_1_2_x86_64.whl | CPython 3.11 | abi3 | Linux musl 1.2+ x86-64 | Details |
| ndwt-0.1.1-cp311-abi3-musllinux_1_2_aarch64.whl | CPython 3.11 | abi3 | Linux musl 1.2+ ARM64 | Details |
| ndwt-0.1.1-cp311-abi3-manylinux_2_28_x86_64.whl | CPython 3.11 | abi3 | Linux glibc 2.28+ x86-64 | Details |
| ndwt-0.1.1-cp311-abi3-manylinux_2_28_aarch64.whl | CPython 3.11 | abi3 | Linux glibc 2.28+ ARM64 | Details |
| ndwt-0.1.1-cp311-abi3-macosx_11_0_arm64.whl | CPython 3.11 | abi3 | macOS 11.0+ ARM64 | Details |
| ndwt-0.1.1-cp311-abi3-macosx_10_12_x86_64.whl | CPython 3.11 | abi3 | macOS 10.12+ x86-64 | Details |
Total release size: 86.8 MB
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Transparency logRelease files / ndwt-0.1.1-cp311-abi3-macosx_11_0_arm64.whl
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| Tags | CPython 3.11 abi3 macOS 11.0+ ARM64 |
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| Download URL | ndwt-0.1.1-cp311-abi3-macosx_10_12_x86_64.whl |
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| Size | 6.3 MB |
| Tags | CPython 3.11 abi3 macOS 10.12+ x86-64 |
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