Files
cedarconnor-comfyui-LatLong/modules/equirectangular_processor.py
T
Cedar Connor 2ee7b64ae1 Add five new nodes: cubemap conversion, mirror/flip, resize, presets, and face extraction
New nodes:
- Cubemap (3x2) → Equirectangular: Convert cubemap atlases back to equirectangular
- Equirectangular Mirror/Flip: Horizontal/vertical flip with proper spherical wrapping
- Equirectangular Resize: Smart resize with 2:1 aspect ratio preservation
- Equirectangular Rotate (Preset): Quick preset rotations (front, back, left, right, up, down)
- Cubemap Faces Extract: Export all 6 cube faces as separate images

Improvements:
- Enhanced tooltips for better user guidance across all new nodes
- Updated README with comprehensive documentation of new features
- Added processing methods to EquirectangularProcessor module

Technical details:
- Cubemap-to-equirectangular uses face sampling with bilinear interpolation
- Mirror/flip operations use numpy flip operations for efficiency
- Resize maintains standard 2:1 equirectangular aspect ratio by default
- Preset rotations map to common viewing angles with offset adjustments
- All nodes support batch processing and multiple interpolation methods
2025-09-29 21:27:38 -07:00

798 lines
34 KiB
Python

import numpy as np
import torch
import cv2
from typing import Tuple, Optional
from functools import lru_cache
from scipy.spatial.transform import Rotation
class EquirectangularProcessor:
def __init__(self):
pass
@staticmethod
def equirectangular_to_spherical(x: np.ndarray, y: np.ndarray, width: int, height: int) -> Tuple[np.ndarray, np.ndarray]:
"""Convert equirectangular coordinates to spherical coordinates (lat, lon)"""
lon = (x / width) * 2 * np.pi - np.pi # -π to π
lat = np.pi/2 - (y / height) * np.pi # π/2 to -π/2
return lat, lon
@staticmethod
def spherical_to_cartesian(lat: np.ndarray, lon: np.ndarray) -> Tuple[np.ndarray, np.ndarray, np.ndarray]:
"""Convert spherical coordinates to 3D cartesian coordinates"""
x = np.cos(lat) * np.cos(lon)
y = np.cos(lat) * np.sin(lon)
z = np.sin(lat)
return x, y, z
@staticmethod
def cartesian_to_spherical(x: np.ndarray, y: np.ndarray, z: np.ndarray) -> Tuple[np.ndarray, np.ndarray]:
"""Convert 3D cartesian coordinates to spherical coordinates"""
lat = np.arcsin(np.clip(z, -1, 1))
lon = np.arctan2(y, x)
return lat, lon
@staticmethod
def spherical_to_equirectangular(lat: np.ndarray, lon: np.ndarray, width: int, height: int) -> Tuple[np.ndarray, np.ndarray]:
"""Convert spherical coordinates to equirectangular coordinates"""
# Normalize longitude to [0, 2π] then to [0, width]
lon_norm = (lon + np.pi) / (2 * np.pi)
x = lon_norm * width
# Convert latitude from [π/2, -π/2] to [0, height]
lat_norm = (np.pi/2 - lat) / np.pi
y = lat_norm * height
return x, y
@staticmethod
def create_rotation_matrix(yaw: float, pitch: float, roll: float) -> np.ndarray:
"""Create 3D rotation matrix from yaw, pitch, roll angles in degrees"""
yaw_rad = np.radians(yaw)
pitch_rad = np.radians(pitch)
roll_rad = np.radians(roll)
# Using scipy for robust rotation matrix creation
r = Rotation.from_euler('zyx', [yaw_rad, pitch_rad, roll_rad])
return r.as_matrix()
@staticmethod
def apply_rotation(x: np.ndarray, y: np.ndarray, z: np.ndarray, rotation_matrix: np.ndarray) -> Tuple[np.ndarray, np.ndarray, np.ndarray]:
"""Apply rotation matrix to 3D points"""
points = np.stack([x, y, z], axis=-1)
original_shape = points.shape[:-1]
points_flat = points.reshape(-1, 3)
rotated_points = points_flat @ rotation_matrix.T
rotated_points = rotated_points.reshape(*original_shape, 3)
return rotated_points[..., 0], rotated_points[..., 1], rotated_points[..., 2]
@staticmethod
def interpolate_image(image: np.ndarray, x: np.ndarray, y: np.ndarray, method: str = 'lanczos') -> np.ndarray:
"""Interpolate image at given coordinates using OpenCV remap.
Notes:
- We modulo-wrap longitude (x) to preserve equirectangular seam continuity.
- We clamp latitude (y) to valid range to avoid pole artifacts.
- Interpolation methods map to OpenCV equivalents with true Lanczos.
"""
height, width = image.shape[:2]
# Map interpolation methods to OpenCV constants
if method == 'nearest':
cv_interp = cv2.INTER_NEAREST
elif method == 'bilinear':
cv_interp = cv2.INTER_LINEAR
elif method == 'bicubic':
cv_interp = cv2.INTER_CUBIC
elif method == 'lanczos':
cv_interp = cv2.INTER_LANCZOS4
else:
cv_interp = cv2.INTER_CUBIC
# Wrap x (longitude) and clamp y (latitude)
x_wrapped = np.mod(x, width).astype(np.float32)
y_clamped = np.clip(y, 0, height - 1).astype(np.float32)
# OpenCV remap expects maps shaped (H, W) in float32
map_x = x_wrapped
map_y = y_clamped
# remap handles multi-channel images directly
interpolated = cv2.remap(image, map_x, map_y, interpolation=cv_interp, borderMode=cv2.BORDER_WRAP)
return interpolated
@staticmethod
def bilinear_interpolate(image: np.ndarray, x: np.ndarray, y: np.ndarray) -> np.ndarray:
"""Legacy bilinear interpolation method - kept for compatibility"""
return EquirectangularProcessor.interpolate_image(image, x, y, method='bilinear')
@classmethod
def rotate_equirectangular(cls, image: np.ndarray, yaw: float = 0, pitch: float = 0, roll: float = 0, horizon_offset: float = 0, interpolation: str = 'lanczos') -> np.ndarray:
"""Rotate an equirectangular image with optional horizon adjustment"""
height, width = image.shape[:2]
# Create coordinate grids
x_coords, y_coords = np.meshgrid(np.arange(width), np.arange(height))
# Convert to spherical coordinates
lat, lon = cls.equirectangular_to_spherical(x_coords, y_coords, width, height)
# Apply horizon offset
lat += np.radians(horizon_offset)
lat = np.clip(lat, -np.pi/2, np.pi/2) # Clamp to valid latitude range
# Convert to 3D cartesian
x_3d, y_3d, z_3d = cls.spherical_to_cartesian(lat, lon)
# Create and apply rotation matrix
rotation_matrix = cls.create_rotation_matrix(yaw, pitch, roll)
x_rot, y_rot, z_rot = cls.apply_rotation(x_3d, y_3d, z_3d, rotation_matrix)
# Convert back to spherical
lat_rot, lon_rot = cls.cartesian_to_spherical(x_rot, y_rot, z_rot)
# Convert back to equirectangular coordinates
x_new, y_new = cls.spherical_to_equirectangular(lat_rot, lon_rot, width, height)
# Interpolate to get final image with specified method (interpolator wraps horizontally)
rotated_image = cls.interpolate_image(image, x_new, y_new, method=interpolation)
return rotated_image
@staticmethod
def crop_to_180(image: np.ndarray,
output_width: Optional[int] = None,
output_height: Optional[int] = None,
interpolation: str = 'lanczos',
center_longitude_deg: float = 0.0,
fov_degrees: float = 180.0) -> np.ndarray:
"""Crop equirectangular image to a longitude span (default 180°) centered at a longitude.
Args:
image: Input equirectangular image (H, W, C) in [0,1] float or uint8.
output_width: Optional output width for resize.
output_height: Optional output height for resize.
interpolation: Interpolation method for resize.
center_longitude_deg: Center longitude in degrees (-180..180).
fov_degrees: Horizontal field of view in degrees (0..360].
"""
height, width = image.shape[:2]
# Compute crop width in pixels based on FOV
crop_width = max(1, int(round(width * (float(fov_degrees) / 360.0))))
# Center x position in pixels
center_x = (float(center_longitude_deg) + 180.0) / 360.0 * width
start_x = int(np.floor(center_x - crop_width / 2.0))
end_x = start_x + crop_width
# Seam-safe horizontal crop via concatenation
image_pad = np.concatenate([image, image, image], axis=1)
start_x_pad = start_x + width
end_x_pad = start_x_pad + crop_width
cropped = image_pad[:, start_x_pad:end_x_pad]
# Resize if output dimensions specified with high-quality interpolation
if output_width is not None and output_height is not None:
if interpolation == 'nearest':
cv_interp = cv2.INTER_NEAREST
elif interpolation == 'bilinear':
cv_interp = cv2.INTER_LINEAR
elif interpolation == 'bicubic':
cv_interp = cv2.INTER_CUBIC
elif interpolation == 'lanczos':
cv_interp = cv2.INTER_LANCZOS4
else:
cv_interp = cv2.INTER_LANCZOS4
cropped = cv2.resize(cropped, (int(output_width), int(output_height)), interpolation=cv_interp)
return cropped
@staticmethod
@lru_cache(maxsize=16)
def _cached_perspective_maps(in_width: int,
in_height: int,
out_width: int,
out_height: int,
yaw: float,
pitch: float,
roll: float,
fov_degrees: float) -> Tuple[np.ndarray, np.ndarray]:
"""Compute and cache remap grids (map_x, map_y) for perspective extraction."""
# Output pixel grid
xs = np.linspace(0.5, out_width - 0.5, out_width, dtype=np.float32)
ys = np.linspace(0.5, out_height - 0.5, out_height, dtype=np.float32)
u, v = np.meshgrid(xs, ys) # shape (Hout, Wout)
# Camera intrinsics from horizontal FOV
f = (out_width / (2.0 * np.tan(np.radians(fov_degrees) / 2.0))).astype(np.float32) if isinstance(out_width, np.ndarray) else (out_width / (2.0 * np.tan(np.radians(fov_degrees) / 2.0)))
cx = out_width / 2.0
cy = out_height / 2.0
x_cam = (u - cx) / f
y_cam = (v - cy) / f
z_cam = np.ones_like(x_cam, dtype=np.float32)
# Normalize direction vectors
norm = np.sqrt(x_cam**2 + y_cam**2 + z_cam**2)
x_cam /= norm
y_cam /= norm
z_cam /= norm
# Apply camera rotation (yaw, pitch, roll)
R = EquirectangularProcessor.create_rotation_matrix(yaw, pitch, roll)
pts = np.stack([x_cam, y_cam, z_cam], axis=-1)
orig_shape = pts.shape[:-1]
pts_flat = pts.reshape(-1, 3)
rot = pts_flat @ R.T
rot = rot.reshape(*orig_shape, 3)
x_r, y_r, z_r = rot[..., 0], rot[..., 1], rot[..., 2]
lat = np.arcsin(np.clip(z_r, -1.0, 1.0))
lon = np.arctan2(y_r, x_r)
# Map to equirectangular pixel coordinates
x_eq, y_eq = EquirectangularProcessor.spherical_to_equirectangular(lat, lon, in_width, in_height)
x_eq = np.mod(x_eq, in_width).astype(np.float32)
y_eq = np.clip(y_eq, 0, in_height - 1).astype(np.float32)
return x_eq, y_eq
@classmethod
def perspective_extract(cls,
image: np.ndarray,
out_width: int,
out_height: int,
yaw: float = 0.0,
pitch: float = 0.0,
roll: float = 0.0,
fov_degrees: float = 90.0,
interpolation: str = 'lanczos') -> np.ndarray:
"""Extract a rectilinear perspective view from an equirectangular image."""
in_h, in_w = image.shape[:2]
map_x, map_y = cls._cached_perspective_maps(in_w, in_h, out_width, out_height, yaw, pitch, roll, fov_degrees)
# Prepare a dummy image to remap into desired output size by mapping grid shape
# cv2.remap uses size of map to determine output size
if interpolation == 'nearest':
cv_interp = cv2.INTER_NEAREST
elif interpolation == 'bilinear':
cv_interp = cv2.INTER_LINEAR
elif interpolation == 'bicubic':
cv_interp = cv2.INTER_CUBIC
elif interpolation == 'lanczos':
cv_interp = cv2.INTER_LANCZOS4
else:
cv_interp = cv2.INTER_CUBIC
out = cv2.remap(image, map_x, map_y, interpolation=cv_interp, borderMode=cv2.BORDER_WRAP)
return out
@staticmethod
def crop_to_square(image: np.ndarray, interpolation: str = 'lanczos') -> np.ndarray:
"""Crop equirectangular image to square (width = height of original image)"""
height, width = image.shape[:2]
# Calculate crop boundaries to get a square with width = original height
crop_width = height
start_x = (width - crop_width) // 2 # Center the crop
end_x = start_x + crop_width
# Ensure we don't exceed image boundaries
start_x = max(0, start_x)
end_x = min(width, end_x)
# Crop the image to square
cropped = image[:, start_x:end_x]
return cropped
@classmethod
def process_equirectangular(cls,
image: np.ndarray,
yaw: float = 0,
pitch: float = 0,
roll: float = 0,
horizon_offset: float = 0,
crop_to_180: bool = False,
crop_to_square: bool = False,
output_width: Optional[int] = None,
output_height: Optional[int] = None,
interpolation: str = 'lanczos') -> np.ndarray:
"""Main processing function that combines all operations"""
# Apply rotation and horizon adjustment
if yaw != 0 or pitch != 0 or roll != 0 or horizon_offset != 0:
processed_image = cls.rotate_equirectangular(image, yaw, pitch, roll, horizon_offset, interpolation)
else:
processed_image = image.copy()
# Apply cropping if requested (square takes precedence over 180)
if crop_to_square:
processed_image = cls.crop_to_square(processed_image, interpolation)
elif crop_to_180:
processed_image = cls.crop_to_180(processed_image, output_width, output_height, interpolation)
return processed_image
# =============================
# Torch (GPU) implementations
# =============================
@staticmethod
def _torch_rotation_matrix(yaw: float, pitch: float, roll: float, device: torch.device, dtype: torch.dtype) -> torch.Tensor:
y = torch.tensor(np.radians(yaw), device=device, dtype=dtype)
p = torch.tensor(np.radians(pitch), device=device, dtype=dtype)
r = torch.tensor(np.radians(roll), device=device, dtype=dtype)
cy, sy = torch.cos(y), torch.sin(y)
cp, sp = torch.cos(p), torch.sin(p)
cr, sr = torch.cos(r), torch.sin(r)
# ZYX order (yaw around Z, pitch around Y, roll around X)
Rz = torch.stack([
torch.stack([cy, -sy, torch.zeros((), device=device, dtype=dtype)]),
torch.stack([sy, cy, torch.zeros((), device=device, dtype=dtype)]),
torch.stack([torch.zeros((), device=device, dtype=dtype), torch.zeros((), device=device, dtype=dtype), torch.ones((), device=device, dtype=dtype)])
])
Ry = torch.stack([
torch.stack([cp, torch.zeros((), device=device, dtype=dtype), sp]),
torch.stack([torch.zeros((), device=device, dtype=dtype), torch.ones((), device=device, dtype=dtype), torch.zeros((), device=device, dtype=dtype)]),
torch.stack([-sp, torch.zeros((), device=device, dtype=dtype), cp])
])
Rx = torch.stack([
torch.stack([torch.ones((), device=device, dtype=dtype), torch.zeros((), device=device, dtype=dtype), torch.zeros((), device=device, dtype=dtype)]),
torch.stack([torch.zeros((), device=device, dtype=dtype), cr, -sr]),
torch.stack([torch.zeros((), device=device, dtype=dtype), sr, cr])
])
R = Rz @ Ry @ Rx
return R
@classmethod
def torch_rotate_equirectangular(cls,
image: torch.Tensor,
yaw: float = 0.0,
pitch: float = 0.0,
roll: float = 0.0,
horizon_offset: float = 0.0,
interpolation: str = 'bilinear') -> torch.Tensor:
"""Rotate equirectangular image using torch.grid_sample.
Args:
image: Tensor (H, W, C) float32 on CPU/GPU in [0,1].
Returns:
Rotated image tensor (H, W, C) on same device.
"""
device = image.device
dtype = image.dtype
H, W, C = image.shape
# Create coordinate grid
xs = torch.linspace(0.5, W - 0.5, W, device=device, dtype=dtype)
ys = torch.linspace(0.5, H - 0.5, H, device=device, dtype=dtype)
xg, yg = torch.meshgrid(xs, ys, indexing='xy') # (W,H) -> we'll transpose later
# Convert to spherical
lon = (xg / W) * (2 * np.pi) - np.pi
lat = (np.pi / 2) - (yg / H) * np.pi
lat = lat + torch.tensor(np.radians(horizon_offset), device=device, dtype=dtype)
lat = torch.clamp(lat, -np.pi/2, np.pi/2)
# Spherical to Cartesian
cos_lat = torch.cos(lat)
x = cos_lat * torch.cos(lon)
y = cos_lat * torch.sin(lon)
z = torch.sin(lat)
# Apply rotation
R = cls._torch_rotation_matrix(yaw, pitch, roll, device, dtype)
pts = torch.stack([x, y, z], dim=-1) # (W,H,3)
rot = torch.tensordot(pts, R.T, dims=1) # (W,H,3)
xr, yr, zr = rot[..., 0], rot[..., 1], rot[..., 2]
# Back to spherical
lat_r = torch.asin(torch.clamp(zr, -1.0, 1.0))
lon_r = torch.atan2(yr, xr)
# Back to pixel coordinates
x_src = ((lon_r + np.pi) / (2 * np.pi)) * W
y_src = ((np.pi/2 - lat_r) / np.pi) * H
x_src = torch.remainder(x_src, W)
y_src = torch.clamp(y_src, 0, H - 1)
# grid_sample expects (N,C,H,W) and grid (N,H,W,2) in [-1,1]
grid_x = (2.0 * x_src / (W - 1)) - 1.0
grid_y = (2.0 * y_src / (H - 1)) - 1.0
grid = torch.stack([grid_x, grid_y], dim=-1).unsqueeze(0) # (1,H,W,2)
inp = image.permute(2, 0, 1).unsqueeze(0) # (1,C,H,W)
mode = 'bilinear' if interpolation in ('bilinear', 'lanczos', 'bicubic') else 'nearest'
out = torch.nn.functional.grid_sample(inp, grid, mode=mode, padding_mode='border', align_corners=True)
out = out.squeeze(0).permute(1, 2, 0) # (H,W,C)
return out
@classmethod
def torch_perspective_extract(cls,
image: torch.Tensor,
out_width: int,
out_height: int,
yaw: float = 0.0,
pitch: float = 0.0,
roll: float = 0.0,
fov_degrees: float = 90.0,
interpolation: str = 'bilinear') -> torch.Tensor:
"""Perspective extractor using torch.grid_sample.
Args:
image: (H,W,C) float in [0,1]
Returns:
(out_height, out_width, C)
"""
device = image.device
dtype = image.dtype
H, W, C = image.shape
xs = torch.linspace(0.5, out_width - 0.5, out_width, device=device, dtype=dtype)
ys = torch.linspace(0.5, out_height - 0.5, out_height, device=device, dtype=dtype)
u, v = torch.meshgrid(xs, ys, indexing='xy')
f = out_width / (2.0 * np.tan(np.radians(fov_degrees) / 2.0))
f = torch.tensor(f, device=device, dtype=dtype)
cx = out_width / 2.0
cy = out_height / 2.0
x_cam = (u - cx) / f
y_cam = (v - cy) / f
z_cam = torch.ones_like(x_cam)
norm = torch.sqrt(x_cam**2 + y_cam**2 + z_cam**2)
x_cam /= norm; y_cam /= norm; z_cam /= norm
R = cls._torch_rotation_matrix(yaw, pitch, roll, device, dtype)
pts = torch.stack([x_cam, y_cam, z_cam], dim=-1)
rot = torch.tensordot(pts, R.T, dims=1)
xr, yr, zr = rot[..., 0], rot[..., 1], rot[..., 2]
lat = torch.asin(torch.clamp(zr, -1.0, 1.0))
lon = torch.atan2(yr, xr)
x_src = ((lon + np.pi) / (2 * np.pi)) * W
y_src = ((np.pi/2 - lat) / np.pi) * H
x_src = torch.remainder(x_src, W)
y_src = torch.clamp(y_src, 0, H - 1)
grid_x = (2.0 * x_src / (W - 1)) - 1.0
grid_y = (2.0 * y_src / (H - 1)) - 1.0
grid = torch.stack([grid_x, grid_y], dim=-1).unsqueeze(0)
inp = image.permute(2, 0, 1).unsqueeze(0)
mode = 'bilinear' if interpolation in ('bilinear', 'lanczos', 'bicubic') else 'nearest'
out = torch.nn.functional.grid_sample(inp, grid, mode=mode, padding_mode='border', align_corners=True)
out = out.squeeze(0).permute(1, 2, 0)
return out
# =============================
# Cubemap generation
# =============================
@staticmethod
def _cube_face_direction(face: str, u: np.ndarray, v: np.ndarray) -> Tuple[np.ndarray, np.ndarray, np.ndarray]:
"""Map face coordinates (u,v in [-1,1]) to direction vector (x,y,z) in our coordinate system.
Axes: x: lon 0°, y: lon 90°, z: +lat (up).
"""
if face == 'front': # +X
x = np.ones_like(u)
y = u
z = v
elif face == 'back': # -X
x = -np.ones_like(u)
y = -u
z = v
elif face == 'right': # +Y
x = -u
y = np.ones_like(u)
z = v
elif face == 'left': # -Y
x = u
y = -np.ones_like(u)
z = v
elif face == 'top': # +Z
x = u
y = v
z = np.ones_like(u)
elif face == 'bottom': # -Z
x = u
y = -v
z = -np.ones_like(u)
else:
raise ValueError(f"Unknown face: {face}")
# Normalize
norm = np.sqrt(x*x + y*y + z*z)
return x / norm, y / norm, z / norm
@classmethod
def equirectangular_to_cubemap(cls,
image: np.ndarray,
face_size: int = 512,
layout: str = '3x2',
interpolation: str = 'lanczos') -> np.ndarray:
"""Generate a cubemap atlas from an equirectangular image.
Layout '3x2' order: [left, front, right] on top row; [back, top, bottom] bottom row.
Returns atlas image with shape (2*face_size, 3*face_size, C).
"""
h, w = image.shape[:2]
# Interp mapping
if interpolation == 'nearest': cv_interp = cv2.INTER_NEAREST
elif interpolation == 'bilinear': cv_interp = cv2.INTER_LINEAR
elif interpolation == 'bicubic': cv_interp = cv2.INTER_CUBIC
else: cv_interp = cv2.INTER_LANCZOS4
faces = ['left', 'front', 'right', 'back', 'top', 'bottom']
# Prepare atlas
atlas = np.zeros((face_size * 2, face_size * 3, image.shape[2]), dtype=image.dtype)
def render_face(face: str) -> np.ndarray:
xs = np.linspace(-1 + 1/face_size, 1 - 1/face_size, face_size, dtype=np.float32)
ys = np.linspace(-1 + 1/face_size, 1 - 1/face_size, face_size, dtype=np.float32)
u, v = np.meshgrid(xs, ys)
x, y, z = cls._cube_face_direction(face, u, v)
lat = np.arcsin(np.clip(z, -1.0, 1.0))
lon = np.arctan2(y, x)
x_eq, y_eq = cls.spherical_to_equirectangular(lat, lon, w, h)
map_x = np.mod(x_eq, w).astype(np.float32)
map_y = np.clip(y_eq, 0, h - 1).astype(np.float32)
face_img = cv2.remap(image, map_x, map_y, interpolation=cv_interp, borderMode=cv2.BORDER_WRAP)
return face_img
# Place faces
atlas[0:face_size, 0:face_size] = render_face('left')
atlas[0:face_size, face_size:2*face_size] = render_face('front')
atlas[0:face_size, 2*face_size:3*face_size] = render_face('right')
atlas[face_size:2*face_size, 0:face_size] = render_face('back')
atlas[face_size:2*face_size, face_size:2*face_size] = render_face('top')
atlas[face_size:2*face_size, 2*face_size:3*face_size] = render_face('bottom')
return atlas
@classmethod
def cubemap_to_equirectangular(cls,
cubemap_atlas: np.ndarray,
output_width: int = 2048,
output_height: int = 1024,
layout: str = '3x2',
interpolation: str = 'lanczos') -> np.ndarray:
"""Convert a 3x2 cubemap atlas back to equirectangular format.
Args:
cubemap_atlas: Input atlas with shape (2*face_size, 3*face_size, C).
output_width: Width of output equirectangular image.
output_height: Height of output equirectangular image.
layout: Cubemap layout (currently only '3x2' supported).
interpolation: Resampling method.
Returns:
Equirectangular image of shape (output_height, output_width, C).
"""
if layout != '3x2':
raise ValueError("Only '3x2' layout is currently supported")
# Extract face size from atlas
atlas_h, atlas_w = cubemap_atlas.shape[:2]
face_size = atlas_h // 2
# Extract individual faces from atlas
# Layout: [left, front, right] / [back, top, bottom]
faces = {
'left': cubemap_atlas[0:face_size, 0:face_size],
'front': cubemap_atlas[0:face_size, face_size:2*face_size],
'right': cubemap_atlas[0:face_size, 2*face_size:3*face_size],
'back': cubemap_atlas[face_size:2*face_size, 0:face_size],
'top': cubemap_atlas[face_size:2*face_size, face_size:2*face_size],
'bottom': cubemap_atlas[face_size:2*face_size, 2*face_size:3*face_size],
}
# Create output coordinate grid
xs = np.linspace(0.5, output_width - 0.5, output_width, dtype=np.float32)
ys = np.linspace(0.5, output_height - 0.5, output_height, dtype=np.float32)
x_grid, y_grid = np.meshgrid(xs, ys)
# Convert to spherical coordinates
lat, lon = cls.equirectangular_to_spherical(x_grid, y_grid, output_width, output_height)
# Convert to 3D Cartesian
x, y, z = cls.spherical_to_cartesian(lat, lon)
# Determine which face each pixel should sample from
abs_x, abs_y, abs_z = np.abs(x), np.abs(y), np.abs(z)
# Initialize output
output = np.zeros((output_height, output_width, cubemap_atlas.shape[2]), dtype=cubemap_atlas.dtype)
def sample_face(face_name: str, mask: np.ndarray):
"""Sample from a specific cube face for masked pixels."""
if not np.any(mask):
return
face_img = faces[face_name]
x_m, y_m, z_m = x[mask], y[mask], z[mask]
# Map 3D direction to face UV coordinates
if face_name == 'front': # +X
u = y_m / x_m
v = z_m / x_m
elif face_name == 'back': # -X
u = -y_m / -x_m
v = z_m / -x_m
elif face_name == 'right': # +Y
u = -x_m / y_m
v = z_m / y_m
elif face_name == 'left': # -Y
u = x_m / -y_m
v = z_m / -y_m
elif face_name == 'top': # +Z
u = x_m / z_m
v = y_m / z_m
elif face_name == 'bottom': # -Z
u = x_m / -z_m
v = -y_m / -z_m
# Convert UV from [-1, 1] to pixel coordinates [0, face_size-1]
u_px = (u + 1.0) * 0.5 * (face_size - 1)
v_px = (v + 1.0) * 0.5 * (face_size - 1)
# Clamp to valid range
u_px = np.clip(u_px, 0, face_size - 1)
v_px = np.clip(v_px, 0, face_size - 1)
# Interpolate using cv2.remap
if interpolation == 'nearest':
cv_interp = cv2.INTER_NEAREST
elif interpolation == 'bilinear':
cv_interp = cv2.INTER_LINEAR
elif interpolation == 'bicubic':
cv_interp = cv2.INTER_CUBIC
else:
cv_interp = cv2.INTER_LANCZOS4
# Create a dense grid for the masked region
mask_indices = np.where(mask)
for i, (row, col) in enumerate(zip(mask_indices[0], mask_indices[1])):
# Sample individual pixel
x_sample = u_px[i]
y_sample = v_px[i]
if interpolation == 'nearest':
x_int = int(np.round(x_sample))
y_int = int(np.round(y_sample))
output[row, col] = face_img[y_int, x_int]
else:
# Bilinear interpolation
x0 = int(np.floor(x_sample))
x1 = min(x0 + 1, face_size - 1)
y0 = int(np.floor(y_sample))
y1 = min(y0 + 1, face_size - 1)
wx1 = x_sample - x0
wx0 = 1.0 - wx1
wy1 = y_sample - y0
wy0 = 1.0 - wy1
output[row, col] = (
face_img[y0, x0] * wx0 * wy0 +
face_img[y0, x1] * wx1 * wy0 +
face_img[y1, x0] * wx0 * wy1 +
face_img[y1, x1] * wx1 * wy1
)
# Determine face selection for each pixel
front_mask = (abs_x >= abs_y) & (abs_x >= abs_z) & (x > 0)
back_mask = (abs_x >= abs_y) & (abs_x >= abs_z) & (x < 0)
right_mask = (abs_y >= abs_x) & (abs_y >= abs_z) & (y > 0)
left_mask = (abs_y >= abs_x) & (abs_y >= abs_z) & (y < 0)
top_mask = (abs_z >= abs_x) & (abs_z >= abs_y) & (z > 0)
bottom_mask = (abs_z >= abs_x) & (abs_z >= abs_y) & (z < 0)
# Sample from each face
sample_face('front', front_mask)
sample_face('back', back_mask)
sample_face('right', right_mask)
sample_face('left', left_mask)
sample_face('top', top_mask)
sample_face('bottom', bottom_mask)
return output
@staticmethod
def mirror_flip_equirectangular(image: np.ndarray,
mirror_horizontal: bool = False,
mirror_vertical: bool = False) -> np.ndarray:
"""Mirror/flip an equirectangular image with proper spherical wrapping.
Args:
image: Input equirectangular image.
mirror_horizontal: Flip left-right (longitude flip).
mirror_vertical: Flip top-bottom (latitude flip).
Returns:
Flipped equirectangular image.
"""
result = image.copy()
if mirror_horizontal:
# Horizontal flip: reverse longitude (flip left-right)
result = np.fliplr(result)
if mirror_vertical:
# Vertical flip: reverse latitude (flip top-bottom)
result = np.flipud(result)
return result
@staticmethod
def resize_equirectangular(image: np.ndarray,
output_width: Optional[int] = None,
output_height: Optional[int] = None,
maintain_aspect: bool = True,
interpolation: str = 'lanczos') -> np.ndarray:
"""Resize an equirectangular image with optional aspect ratio preservation.
Args:
image: Input equirectangular image.
output_width: Target width (required if maintain_aspect=False).
output_height: Target height (optional if maintain_aspect=True).
maintain_aspect: Preserve 2:1 aspect ratio (standard for equirectangular).
interpolation: Resampling method.
Returns:
Resized equirectangular image.
"""
h, w = image.shape[:2]
if maintain_aspect:
# Standard equirectangular is 2:1 ratio
if output_width is not None:
out_w = output_width
out_h = output_width // 2
elif output_height is not None:
out_h = output_height
out_w = output_height * 2
else:
raise ValueError("Either output_width or output_height must be specified")
else:
if output_width is None or output_height is None:
raise ValueError("Both output_width and output_height must be specified when maintain_aspect=False")
out_w = output_width
out_h = output_height
# Map interpolation to OpenCV
if interpolation == 'nearest':
cv_interp = cv2.INTER_NEAREST
elif interpolation == 'bilinear':
cv_interp = cv2.INTER_LINEAR
elif interpolation == 'bicubic':
cv_interp = cv2.INTER_CUBIC
elif interpolation == 'lanczos':
cv_interp = cv2.INTER_LANCZOS4
else:
cv_interp = cv2.INTER_LANCZOS4
resized = cv2.resize(image, (out_w, out_h), interpolation=cv_interp)
return resized
@staticmethod
def get_preset_rotation(preset: str) -> Tuple[float, float, float]:
"""Get yaw, pitch, roll values for preset rotation angles.
Args:
preset: One of 'front', 'back', 'left', 'right', 'up', 'down', 'custom'.
Returns:
Tuple of (yaw, pitch, roll) in degrees.
"""
presets = {
'front': (0.0, 0.0, 0.0),
'back': (180.0, 0.0, 0.0),
'left': (-90.0, 0.0, 0.0),
'right': (90.0, 0.0, 0.0),
'up': (0.0, 90.0, 0.0),
'down': (0.0, -90.0, 0.0),
}
return presets.get(preset, (0.0, 0.0, 0.0))