| | """ |
| | Canopy height model helpers. |
| | |
| | These utilities create canopy height models (CHM) from voxelized point cloud |
| | data cubes while applying a simple adaptive filter to smooth noisy ground |
| | estimates (DTM). Functions are written with clarity and deterministic output in |
| | mind for use in notebooks and scripts. |
| | """ |
| |
|
| | from __future__ import annotations |
| |
|
| | from typing import Tuple |
| |
|
| | import numpy as np |
| | from numpy.typing import NDArray |
| |
|
| | Array2D = NDArray[np.floating] |
| | Array3D = NDArray[np.floating] |
| |
|
| |
|
| | def apply_kernel(dtm: Array2D, center: Tuple[int, int], kernel_size: int) -> Array2D: |
| | """ |
| | Return a window of `dtm` centered on `center`, clipped to array bounds. |
| | |
| | Parameters |
| | ---------- |
| | dtm: |
| | Two-dimensional digital terrain model array. |
| | center: |
| | (row, column) index around which to extract the window. |
| | kernel_size: |
| | Size of the square window (must be positive). |
| | """ |
| | if kernel_size <= 0: |
| | raise ValueError("kernel_size must be a positive integer.") |
| |
|
| | half = kernel_size // 2 |
| | row_start = max(center[0] - half, 0) |
| | row_end = min(center[0] + half + 1, dtm.shape[0]) |
| | col_start = max(center[1] - half, 0) |
| | col_end = min(center[1] + half + 1, dtm.shape[1]) |
| |
|
| | return dtm[row_start:row_end, col_start:col_end] |
| |
|
| |
|
| | def adaptive_dtm_filter( |
| | dtm: Array2D, kernel_size: int = 7, percentile: float = 50.0 |
| | ) -> Array2D: |
| | """ |
| | Smooth the DTM by replacing outliers with the mean of local lower-percentile values. |
| | |
| | Each pixel greater than the specified percentile in its neighborhood is |
| | replaced by the mean of the values at or below that percentile. This |
| | mitigates spikes that otherwise lead to artifacts in the derived CHM. |
| | """ |
| | filtered = dtm.copy() |
| | rows, cols = filtered.shape |
| |
|
| | for row in range(rows): |
| | for col in range(cols): |
| | window = apply_kernel(filtered, (row, col), kernel_size).ravel() |
| | if window.size == 0: |
| | continue |
| |
|
| | threshold = float(np.percentile(window, percentile)) |
| | if filtered[row, col] > threshold: |
| | lower_values = window[window <= threshold] |
| | if lower_values.size: |
| | filtered[row, col] = float(lower_values.mean()) |
| |
|
| | return filtered |
| |
|
| |
|
| | def hillshade( |
| | array: Array2D, azimuth: float = 90.0, angle_altitude: float = 60.0 |
| | ) -> Array2D: |
| | """ |
| | Generate a simple hillshade from a 2D array for visualization. |
| | |
| | Parameters use degrees, consistent with most GIS tools. |
| | """ |
| | azimuth = 360.0 - azimuth |
| |
|
| | x_gradient, y_gradient = np.gradient(array) |
| | slope = np.pi / 2.0 - np.arctan(np.sqrt(x_gradient * x_gradient + y_gradient * y_gradient)) |
| | aspect = np.arctan2(-x_gradient, y_gradient) |
| | azimuth_rad = azimuth * np.pi / 180.0 |
| | altitude_rad = angle_altitude * np.pi / 180.0 |
| |
|
| | shaded = ( |
| | np.sin(altitude_rad) * np.sin(slope) |
| | + np.cos(altitude_rad) * np.cos(slope) * np.cos((azimuth_rad - np.pi / 2.0) - aspect) |
| | ) |
| |
|
| | return 255.0 * (shaded + 1.0) / 2.0 |
| |
|
| |
|
| | def calc_height_surface(cube: Array3D, percentile: float) -> NDArray[np.int64]: |
| | """ |
| | Compute the height surface where the cumulative density exceeds `percentile`. |
| | """ |
| | cumulative = np.cumsum(cube, axis=0) |
| | maxima = cumulative.max(axis=0) |
| | maxima[maxima == 0] = 1 |
| | normalized = cumulative / maxima |
| |
|
| | surface = normalized > percentile |
| | return np.argmax(surface, axis=0).astype(np.int64) |
| |
|
| |
|
| | def create_chm( |
| | cube: Array3D, canopy_percentile: float = 0.98, dtm_percentile: float = 0.05, kernel_size: int = 7 |
| | ) -> tuple[Array2D, Array2D, Array2D, NDArray[np.int64]]: |
| | """ |
| | Build a canopy height model, ground model, hillshade, and DEM from a cube. |
| | |
| | Returns |
| | ------- |
| | chm: |
| | Canopy height model (DEM minus DTM). |
| | dtm: |
| | Smoothed digital terrain model. |
| | dtm_hillshade: |
| | Hillshaded representation of the DTM for visualization. |
| | dem: |
| | Digital elevation model derived from the cube percentile. |
| | """ |
| | dtm = calc_height_surface(cube, dtm_percentile) |
| | dtm = adaptive_dtm_filter(dtm, kernel_size=kernel_size) |
| | dem = calc_height_surface(cube, canopy_percentile) |
| | chm = dem - dtm |
| |
|
| | return chm, dtm, hillshade(dtm), dem |
| |
|
| |
|
| | |
| | calcSurf = calc_height_surface |
| | createCHM = create_chm |
| |
|
| | __all__ = [ |
| | "adaptive_dtm_filter", |
| | "apply_kernel", |
| | "calc_height_surface", |
| | "calcSurf", |
| | "create_chm", |
| | "createCHM", |
| | "hillshade", |
| | ] |
| |
|