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| import os | |
| import trimesh | |
| import numpy as np | |
| import math | |
| from scipy.special import sph_harm | |
| import argparse | |
| from tqdm import tqdm | |
| def factratio(N, D): | |
| if N >= D: | |
| prod = 1.0 | |
| for i in range(D+1, N+1): | |
| prod *= i | |
| return prod | |
| else: | |
| prod = 1.0 | |
| for i in range(N+1, D+1): | |
| prod *= i | |
| return 1.0 / prod | |
| def KVal(M, L): | |
| return math.sqrt(((2 * L + 1) / (4 * math.pi)) * (factratio(L - M, L + M))) | |
| def AssociatedLegendre(M, L, x): | |
| if M < 0 or M > L or np.max(np.abs(x)) > 1.0: | |
| return np.zeros_like(x) | |
| pmm = np.ones_like(x) | |
| if M > 0: | |
| somx2 = np.sqrt((1.0 + x) * (1.0 - x)) | |
| fact = 1.0 | |
| for i in range(1, M+1): | |
| pmm = -pmm * fact * somx2 | |
| fact = fact + 2 | |
| if L == M: | |
| return pmm | |
| else: | |
| pmmp1 = x * (2 * M + 1) * pmm | |
| if L == M+1: | |
| return pmmp1 | |
| else: | |
| pll = np.zeros_like(x) | |
| for i in range(M+2, L+1): | |
| pll = (x * (2 * i - 1) * pmmp1 - (i + M - 1) * pmm) / (i - M) | |
| pmm = pmmp1 | |
| pmmp1 = pll | |
| return pll | |
| def SphericalHarmonic(M, L, theta, phi): | |
| if M > 0: | |
| return math.sqrt(2.0) * KVal(M, L) * np.cos(M * phi) * AssociatedLegendre(M, L, np.cos(theta)) | |
| elif M < 0: | |
| return math.sqrt(2.0) * KVal(-M, L) * np.sin(-M * phi) * AssociatedLegendre(-M, L, np.cos(theta)) | |
| else: | |
| return KVal(0, L) * AssociatedLegendre(0, L, np.cos(theta)) | |
| def save_obj(mesh_path, verts): | |
| file = open(mesh_path, 'w') | |
| for v in verts: | |
| file.write('v %.4f %.4f %.4f\n' % (v[0], v[1], v[2])) | |
| file.close() | |
| def sampleSphericalDirections(n): | |
| xv = np.random.rand(n,n) | |
| yv = np.random.rand(n,n) | |
| theta = np.arccos(1-2 * xv) | |
| phi = 2.0 * math.pi * yv | |
| phi = phi.reshape(-1) | |
| theta = theta.reshape(-1) | |
| vx = -np.sin(theta) * np.cos(phi) | |
| vy = -np.sin(theta) * np.sin(phi) | |
| vz = np.cos(theta) | |
| return np.stack([vx, vy, vz], 1), phi, theta | |
| def getSHCoeffs(order, phi, theta): | |
| shs = [] | |
| for n in range(0, order+1): | |
| for m in range(-n,n+1): | |
| s = SphericalHarmonic(m, n, theta, phi) | |
| shs.append(s) | |
| return np.stack(shs, 1) | |
| def computePRT(mesh_path, n, order): | |
| mesh = trimesh.load(mesh_path, process=False) | |
| vectors_orig, phi, theta = sampleSphericalDirections(n) | |
| SH_orig = getSHCoeffs(order, phi, theta) | |
| w = 4.0 * math.pi / (n*n) | |
| origins = mesh.vertices | |
| normals = mesh.vertex_normals | |
| n_v = origins.shape[0] | |
| origins = np.repeat(origins[:,None], n, axis=1).reshape(-1,3) | |
| normals = np.repeat(normals[:,None], n, axis=1).reshape(-1,3) | |
| PRT_all = None | |
| for i in tqdm(range(n)): | |
| SH = np.repeat(SH_orig[None,(i*n):((i+1)*n)], n_v, axis=0).reshape(-1,SH_orig.shape[1]) | |
| vectors = np.repeat(vectors_orig[None,(i*n):((i+1)*n)], n_v, axis=0).reshape(-1,3) | |
| dots = (vectors * normals).sum(1) | |
| front = (dots > 0.0) | |
| delta = 1e-3*min(mesh.bounding_box.extents) | |
| hits = mesh.ray.intersects_any(origins + delta * normals, vectors) | |
| nohits = np.logical_and(front, np.logical_not(hits)) | |
| PRT = (nohits.astype(np.float) * dots)[:,None] * SH | |
| if PRT_all is not None: | |
| PRT_all += (PRT.reshape(-1, n, SH.shape[1]).sum(1)) | |
| else: | |
| PRT_all = (PRT.reshape(-1, n, SH.shape[1]).sum(1)) | |
| PRT = w * PRT_all | |
| # NOTE: trimesh sometimes break the original vertex order, but topology will not change. | |
| # when loading PRT in other program, use the triangle list from trimesh. | |
| return PRT, mesh.faces | |
| def testPRT(dir_path, n=40): | |
| if dir_path[-1] == '/': | |
| dir_path = dir_path[:-1] | |
| sub_name = dir_path.split('/')[-1][:-4] | |
| obj_path = os.path.join(dir_path, sub_name + '_100k.obj') | |
| os.makedirs(os.path.join(dir_path, 'bounce'), exist_ok=True) | |
| PRT, F = computePRT(obj_path, n, 2) | |
| np.savetxt(os.path.join(dir_path, 'bounce', 'bounce0.txt'), PRT, fmt='%.8f') | |
| np.save(os.path.join(dir_path, 'bounce', 'face.npy'), F) | |
| if __name__ == '__main__': | |
| parser = argparse.ArgumentParser() | |
| parser.add_argument('-i', '--input', type=str, default='/home/shunsuke/Downloads/rp_dennis_posed_004_OBJ') | |
| parser.add_argument('-n', '--n_sample', type=int, default=40, help='squared root of number of sampling. the higher, the more accurate, but slower') | |
| args = parser.parse_args() | |
| testPRT(args.input) | |