RingGalaxiesAnalysis / galaxy_ellipse.py
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"""Galaxy ellipse + inner-ring measurement, ported from TamanoGalaxia.ipynb.
Given a Lupton RGB image (uint8, HxWx3) this reproduces the notebook's geometry
measurement: it segments the main galaxy, fits an ellipse to the mask by PCA of
the pixel coordinates, and detects an inner-ring candidate from the elliptical
radial profile. The returned parameters (center, orientation, semi-axes, ring
radius) are in pixel coordinates of the input image, ready to be drawn with
canvas ctx.ellipse(cx, cy, rx, ry, theta, 0, 2*pi).
The algorithm matches the notebook function-for-function. The only difference is
the base image: here we measure the luminance of the already-built Lupton RGB
from the cache, instead of rebuilding an asinh RGB from raw FITS bands. The
geometry is driven by luminance, so the fitted ellipse aligns with the galaxy as
shown on screen.
"""
from __future__ import annotations
import numpy as np
from scipy.ndimage import binary_fill_holes, gaussian_filter, gaussian_filter1d
from scipy.signal import find_peaks
from skimage import measure, morphology
from skimage.filters import threshold_otsu
def limpiar_imagen(img: np.ndarray) -> np.ndarray:
"""Cast to float32 and replace NaN/inf with the median."""
arr = np.asarray(img, dtype=np.float32).squeeze()
if arr.size == 0:
return arr
finitos = np.isfinite(arr)
if not finitos.any():
return np.zeros_like(arr, dtype=np.float32)
mediana = np.nanmedian(arr[finitos])
return np.where(np.isfinite(arr), arr, mediana).astype(np.float32)
def escalar_percentiles(img: np.ndarray, p_low: float = 1, p_high: float = 99, eps: float = 1e-8) -> np.ndarray:
"""Normalize to [0, 1] using percentile clipping (robust to bright stars)."""
x = limpiar_imagen(img)
lo, hi = np.nanpercentile(x, [p_low, p_high])
if not np.isfinite(lo) or not np.isfinite(hi) or hi <= lo:
return np.zeros_like(x, dtype=np.float32)
return np.clip((x - lo) / (hi - lo + eps), 0, 1).astype(np.float32)
def calcular_luminancia(rgb: np.ndarray) -> np.ndarray:
"""RGB (float [0,1]) -> grayscale brightness via Rec.709 luminance."""
return (0.2126 * rgb[:, :, 0] + 0.7152 * rgb[:, :, 1] + 0.0722 * rgb[:, :, 2]).astype(np.float32)
def centro_luminoso(lum: np.ndarray) -> tuple[float, float]:
"""Brightness-weighted center estimate (cy, cx)."""
x = escalar_percentiles(lum, 1, 99.7)
h, w = x.shape
yy, xx = np.indices(x.shape)
pesos = np.clip(x, 0, None) ** 1.5
total = float(np.nansum(pesos))
if not np.isfinite(total) or total <= 1e-8:
return h / 2.0, w / 2.0
cy = float(np.nansum(yy * pesos) / total)
cx = float(np.nansum(xx * pesos) / total)
return cy, cx
def mascara_galaxia(lum: np.ndarray, centro: tuple[float, float]) -> np.ndarray:
"""Binary mask of the main galaxy (mixed sky+Otsu+percentile threshold)."""
x = escalar_percentiles(lum, 0.5, 99.7)
suave = gaussian_filter(x, sigma=2.0)
h, w = suave.shape
borde = int(max(2, 0.12 * min(h, w)))
pixeles_borde = np.concatenate([
suave[:borde, :].ravel(),
suave[-borde:, :].ravel(),
suave[:, :borde].ravel(),
suave[:, -borde:].ravel(),
])
sky = float(np.nanmedian(pixeles_borde))
sky_sigma = 1.4826 * float(np.nanmedian(np.abs(pixeles_borde - sky)))
if not np.isfinite(sky_sigma) or sky_sigma <= 0:
sky_sigma = float(np.nanstd(pixeles_borde))
if not np.isfinite(sky_sigma) or sky_sigma <= 0:
sky_sigma = 1e-6
try:
otsu = threshold_otsu(suave)
except Exception:
otsu = np.nanpercentile(suave, 70)
umbral = max(sky + 2.0 * sky_sigma, 0.55 * otsu, np.nanpercentile(suave, 58))
mask = suave > umbral
min_size = max(25, int(0.0015 * h * w))
mask = morphology.remove_small_objects(mask, min_size=min_size)
mask = morphology.closing(mask, morphology.disk(2))
mask = binary_fill_holes(mask)
labeled = measure.label(mask)
props = measure.regionprops(labeled, intensity_image=suave)
if len(props) == 0:
cy, cx = centro
yy, xx = np.indices(suave.shape)
rr = np.sqrt((yy - cy) ** 2 + (xx - cx) ** 2)
return rr <= 0.25 * min(h, w)
cy, cx = centro
mejor_region = None
mejor_score = np.inf
for region in props:
ry, rx = region.centroid
distancia = np.sqrt((ry - cy) ** 2 + (rx - cx) ** 2)
score = distancia - 0.20 * np.sqrt(max(region.area, 1)) - 5.0 * max(region.intensity_mean, 0)
if score < mejor_score:
mejor_score = score
mejor_region = region
mask_principal = labeled == mejor_region.label
mask_principal = morphology.dilation(mask_principal, morphology.disk(2))
mask_principal = binary_fill_holes(mask_principal)
return mask_principal.astype(bool)
def parametros_elipse(mask: np.ndarray, lum: np.ndarray):
"""Ellipse center, semi-axes, q and orientation from the mask via PCA.
Returns (cy, cx, semi_major, semi_minor, q, theta, area).
"""
mask = np.asarray(mask, dtype=bool)
h, w = mask.shape
labeled = measure.label(mask)
props = measure.regionprops(labeled)
if len(props) == 0:
return h / 2.0, w / 2.0, np.nan, np.nan, 1.0, 0.0, 0
region = max(props, key=lambda p: p.area)
coords = region.coords.astype(float)
if coords.shape[0] < 10:
cy, cx = region.centroid
return float(cy), float(cx), np.nan, np.nan, 1.0, 0.0, int(region.area)
yy = coords[:, 0]
xx = coords[:, 1]
cy = float(np.mean(yy))
cx = float(np.mean(xx))
x = xx - cx
y = yy - cy
cov = np.cov(np.vstack([x, y]), bias=True)
try:
eigenvalues, eigenvectors = np.linalg.eigh(cov)
except Exception:
return cy, cx, np.nan, np.nan, 1.0, 0.0, int(region.area)
order = np.argsort(eigenvalues)[::-1]
eigenvalues = eigenvalues[order]
eigenvectors = eigenvectors[:, order]
v_major = eigenvectors[:, 0]
theta = float(np.arctan2(v_major[1], v_major[0]))
if theta > np.pi / 2:
theta -= np.pi
if theta < -np.pi / 2:
theta += np.pi
semi_major = float(2.0 * np.sqrt(max(eigenvalues[0], 0.0)))
semi_minor = float(2.0 * np.sqrt(max(eigenvalues[1], 0.0)))
if not np.isfinite(semi_major) or semi_major <= 0:
semi_major = np.nan
if not np.isfinite(semi_minor) or semi_minor <= 0:
semi_minor = np.nan
if np.isfinite(semi_major) and semi_major > 0 and np.isfinite(semi_minor):
q = float(np.clip(semi_minor / semi_major, 0.15, 1.0))
else:
q = 1.0
return cy, cx, semi_major, semi_minor, q, theta, int(region.area)
def mapa_radio_eliptico(shape, centro, q, theta) -> np.ndarray:
"""Elliptical radius of each pixel, aligned with the galaxy axes."""
h, w = shape
cy, cx = centro
yy, xx = np.indices((h, w))
x = xx - cx
y = yy - cy
xr = x * np.cos(theta) + y * np.sin(theta)
yr = -x * np.sin(theta) + y * np.cos(theta)
q = max(float(q), 0.15)
rr = np.sqrt(xr ** 2 + (yr / q) ** 2)
return rr.astype(np.float32)
def perfil_radial(lum, centro, q, theta, max_radius=None):
"""Mean intensity in elliptical annuli."""
rr_float = mapa_radio_eliptico(lum.shape, centro, q, theta)
if max_radius is None:
max_radius = int(np.nanmax(rr_float))
rr = np.clip(rr_float.astype(int), 0, max_radius)
suma = np.bincount(rr.ravel(), weights=lum.ravel(), minlength=max_radius + 1)
conteo = np.bincount(rr.ravel(), minlength=max_radius + 1)
perfil = suma / np.maximum(conteo, 1)
radios = np.arange(len(perfil), dtype=np.float32)
return radios, perfil.astype(np.float32), conteo.astype(np.float32)
def radio_por_fraccion_flujo(lum, centro, q, theta, fraccion, max_radius) -> float:
"""Radius enclosing a given fraction of the flux (e.g. R90)."""
x = escalar_percentiles(lum, 0.5, 99.7)
rr_float = mapa_radio_eliptico(x.shape, centro, q, theta)
rr = np.clip(rr_float.astype(int), 0, max_radius)
flujo_radial = np.bincount(rr.ravel(), weights=np.clip(x, 0, None).ravel(), minlength=max_radius + 1)
flujo_acumulado = np.cumsum(flujo_radial)
total = float(flujo_acumulado[-1])
if not np.isfinite(total) or total <= 0:
return np.nan
idx = int(np.searchsorted(flujo_acumulado, fraccion * total))
return float(np.clip(idx, 0, max_radius))
def measure_ellipse(rgb_uint8: np.ndarray) -> dict:
"""Measure the galaxy ellipse and inner-ring candidate from a Lupton RGB.
Args:
rgb_uint8: HxWx3 uint8 image (the cached Lupton composite).
Returns:
dict with pixel-coordinate geometry for drawing:
cx, cy ellipse center
theta major-axis orientation (radians)
q axis ratio (minor / major)
radius_major drawn galaxy semi-major radius (px)
radius_minor radius_major * q (px)
ring_radius inner-ring candidate semi-major radius (px) or None
r50, r90 flux radii (px)
status "ok" or "error"
"""
try:
rgb = np.asarray(rgb_uint8, dtype=np.float32) / 255.0
lum = calcular_luminancia(rgb)
h, w = lum.shape
centro_inicial = centro_luminoso(lum)
mask = mascara_galaxia(lum, centro_inicial)
cy, cx, semi_major, semi_minor, q, theta, area_mask = parametros_elipse(mask, lum)
rr_map = mapa_radio_eliptico(lum.shape, (cy, cx), q, theta)
radios_mask = rr_map[mask]
r_mask95 = float(np.nanpercentile(radios_mask, 95)) if len(radios_mask) > 0 else np.nan
max_radius = int(min(np.nanmax(rr_map), 0.95 * max(h, w)))
r50 = radio_por_fraccion_flujo(lum, (cy, cx), q, theta, 0.50, max_radius)
r90 = radio_por_fraccion_flujo(lum, (cy, cx), q, theta, 0.90, max_radius)
candidatos = [v for v in [r_mask95, semi_major, r90] if np.isfinite(v) and v > 0]
radio_mayor = float(np.nanmedian(candidatos)) if candidatos else np.nan
radios, perfil, _ = perfil_radial(lum, (cy, cx), q, theta, max_radius=max_radius)
perfil_suave = gaussian_filter1d(perfil, sigma=2)
base_suave = gaussian_filter1d(perfil_suave, sigma=9)
residual = perfil_suave - base_suave
residual[:max(5, int(0.06 * min(h, w)))] = 0
prominencia = max(float(np.nanstd(residual)) * 0.65, 1e-5)
peaks, _ = find_peaks(residual, prominence=prominencia, distance=5)
ring = float(peaks[0]) if len(peaks) > 0 else None
if not np.isfinite(radio_mayor) or radio_mayor <= 0:
return {"status": "error"}
return {
"cx": round(cx, 2),
"cy": round(cy, 2),
"theta": round(float(theta), 5),
"q": round(float(q), 4),
"radius_major": round(radio_mayor, 2),
"radius_minor": round(radio_mayor * q, 2),
"ring_radius": round(ring, 2) if ring is not None and np.isfinite(ring) else None,
"r50": round(r50, 2) if np.isfinite(r50) else None,
"r90": round(r90, 2) if np.isfinite(r90) else None,
"status": "ok",
}
except Exception as exc: # never let one bad image stop a batch
return {"status": "error", "error": str(exc)}