# MIT License # Copyright (c) [2026] [Tim Büchner, Sai Karthikeya Vemuri, Joachim Denzler] # Permission is hereby granted, free of charge, to any person obtaining a copy # of this software and associated documentation files (the "Software"), to deal # in the Software without restriction, including without limitation the rights # to use, copy, modify, merge, publish, distribute, sublicense, and/or sell # copies of the Software, and to permit persons to whom the Software is # furnished to do so, subject to the following conditions: # The above copyright notice and this permission notice shall be included in all # copies or substantial portions of the Software. # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR # IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE # AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER # LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, # OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE # SOFTWARE. import jax.numpy as jnp import numpy as np def img_train_generator(u: np.ndarray): x = jnp.linspace(-1, 1, u.shape[0]).reshape(-1, 1) y = jnp.linspace(-1, 1, u.shape[1]).reshape(-1, 1) return x, y, (u[:, :, 0], u[:, :, 1], u[:, :, 2]) def baseline_train_generator(u): x = np.linspace(-1, 1, u.shape[1]) y = np.linspace(-1, 1, u.shape[0]) X, Y = np.meshgrid(x, y) X = np.reshape(X, (-1, 1)) Y = np.reshape(Y, (-1, 1)) coordinates = np.concatenate([X, Y], axis=1) flat_u = u.reshape(u.shape[0] * u.shape[1], 3) return X, Y, coordinates, flat_u def img_loss(apply_fn, *train_data): x, y, u = train_data def fn(params): rp, gp, bp = apply_fn(params, x, y) return jnp.mean(jnp.square(rp - u[0])) + jnp.mean(jnp.square(gp - u[1])) + jnp.mean(jnp.square(bp - u[2])) return fn