core/tensorBase.py

import torch
import torch.nn
import torch.nn.functional as F
from .sh import eval_sh_bases
import numpy as np
import time


def get_ray_directions_blender(H, W, focal, center=None):
    """
    Get ray directions for all pixels in camera coordinate.
    Reference: https://www.scratchapixel.com/lessons/3d-basic-rendering/
               ray-tracing-generating-camera-rays/standard-coordinate-systems
    Inputs:
        H, W, focal: image height, width and focal length
    Outputs:
        directions: (H, W, 3), the direction of the rays in camera coordinate
    """
    grid = create_meshgrid(H, W, normalized_coordinates=False)[0]+0.5
    i, j = grid.unbind(-1)
    # the direction here is without +0.5 pixel centering as calibration is not so accurate
    # see https://github.com/bmild/nerf/issues/24
    cent = center if center is not None else [W / 2, H / 2]
    directions = torch.stack([(i - cent[0]) / focal[0], -(j - cent[1]) / focal[1], -torch.ones_like(i)],
                             -1)  # (H, W, 3)

    return directions


def get_rays(directions, c2w):
    """
    Get ray origin and normalized directions in world coordinate for all pixels in one image.
    Reference: https://www.scratchapixel.com/lessons/3d-basic-rendering/
               ray-tracing-generating-camera-rays/standard-coordinate-systems
    Inputs:
        directions: (H, W, 3) precomputed ray directions in camera coordinate
        c2w: (3, 4) transformation matrix from camera coordinate to world coordinate
    Outputs:
        rays_o: (H*W, 3), the origin of the rays in world coordinate
        rays_d: (H*W, 3), the normalized direction of the rays in world coordinate
    """
    # Rotate ray directions from camera coordinate to the world coordinate
    rays_d = directions @ c2w[:3, :3].T  # (H, W, 3)
    # rays_d = rays_d / torch.norm(rays_d, dim=-1, keepdim=True)
    # The origin of all rays is the camera origin in world coordinate
    rays_o = c2w[:3, 3].expand(rays_d.shape)  # (H, W, 3)

    rays_d = rays_d.view(-1, 3)
    rays_o = rays_o.view(-1, 3)

    return rays_o, rays_d


def positional_encoding(positions, freqs):
    
        freq_bands = (2**torch.arange(freqs).float()).to(positions.device)  # (F,)
        pts = (positions[..., None] * freq_bands).reshape(
            positions.shape[:-1] + (freqs * positions.shape[-1], ))  # (..., DF)
        pts = torch.cat([torch.sin(pts), torch.cos(pts)], dim=-1)
        return pts

def raw2alpha(sigma, dist):
    # sigma, dist  [N_rays, N_samples]
    alpha = 1. - torch.exp(-sigma*dist)

    T = torch.cumprod(torch.cat([torch.ones(alpha.shape[0],alpha.shape[1], 1).to(alpha.device), 1. - alpha + 1e-10], -1), -1)

    weights = alpha * T[:,:, :-1]  # [N_rays, N_samples]
    return alpha, weights, T[:,:,-1:]


def SHRender(xyz_sampled, viewdirs, features):
    sh_mult = eval_sh_bases(2, viewdirs)[:, None]
    rgb_sh = features.view(-1, 3, sh_mult.shape[-1])
    rgb = torch.relu(torch.sum(sh_mult * rgb_sh, dim=-1) + 0.5)
    return rgb


def RGBRender(xyz_sampled, viewdirs, features):

    rgb = features
    return rgb

class AlphaGridMask(torch.nn.Module):
    def __init__(self, device, aabb, alpha_volume):
        super(AlphaGridMask, self).__init__()
        self.device = device

        self.aabb=aabb.to(self.device)
        self.aabbSize = self.aabb[1] - self.aabb[0]
        self.invgridSize = 1.0/self.aabbSize * 2
        self.alpha_volume = alpha_volume.view(1,1,*alpha_volume.shape[-3:])
        self.gridSize = torch.LongTensor([alpha_volume.shape[-1],alpha_volume.shape[-2],alpha_volume.shape[-3]]).to(self.device)

    def sample_alpha(self, xyz_sampled):
        xyz_sampled = self.normalize_coord(xyz_sampled)
        alpha_vals = F.grid_sample(self.alpha_volume, xyz_sampled.view(1,-1,1,1,3), align_corners=True).view(-1)

        return alpha_vals

    def normalize_coord(self, xyz_sampled):
        return (xyz_sampled-self.aabb[0]) * self.invgridSize - 1


class MLPRender_Fea(torch.nn.Module):
    def __init__(self,inChanel, viewpe=6, feape=6, featureC=128):
        super(MLPRender_Fea, self).__init__()

        self.in_mlpC = 2*viewpe*3 + 2*feape*inChanel + 3 + inChanel
        self.viewpe = viewpe
        self.feape = feape
        layer1 = torch.nn.Linear(self.in_mlpC, featureC)
        layer2 = torch.nn.Linear(featureC, featureC)
        layer3 = torch.nn.Linear(featureC,3)

        self.mlp = torch.nn.Sequential(layer1, torch.nn.ReLU(inplace=True), layer2, torch.nn.ReLU(inplace=True), layer3)
        torch.nn.init.constant_(self.mlp[-1].bias, 0)

    def forward(self, pts, viewdirs, features):
        indata = [features, viewdirs]
        if self.feape > 0:
            indata += [positional_encoding(features, self.feape)]
        if self.viewpe > 0:
            indata += [positional_encoding(viewdirs, self.viewpe)]
        mlp_in = torch.cat(indata, dim=-1)
        rgb = self.mlp(mlp_in)
        rgb = torch.sigmoid(rgb)

        return rgb

class MLPRender_PE(torch.nn.Module):
    def __init__(self,inChanel, viewpe=6, pospe=6, featureC=128):
        super(MLPRender_PE, self).__init__()

        self.in_mlpC = (3+2*viewpe*3)+ (3+2*pospe*3)  + inChanel #
        self.viewpe = viewpe
        self.pospe = pospe
        layer1 = torch.nn.Linear(self.in_mlpC, featureC)
        layer2 = torch.nn.Linear(featureC, featureC)
        layer3 = torch.nn.Linear(featureC,3)

        self.mlp = torch.nn.Sequential(layer1, torch.nn.ReLU(inplace=True), layer2, torch.nn.ReLU(inplace=True), layer3)
        torch.nn.init.constant_(self.mlp[-1].bias, 0)

    def forward(self, pts, viewdirs, features):
        indata = [features, viewdirs]
        if self.pospe > 0:
            indata += [positional_encoding(pts, self.pospe)]
        if self.viewpe > 0:
            indata += [positional_encoding(viewdirs, self.viewpe)]
        mlp_in = torch.cat(indata, dim=-1)
        rgb = self.mlp(mlp_in)
        rgb = torch.sigmoid(rgb)

        return rgb

class MLPRender(torch.nn.Module):
    def __init__(self,inChanel, viewpe=6, featureC=128):
        super(MLPRender, self).__init__()

        self.in_mlpC = (3+2*viewpe*3) + inChanel
        self.viewpe = viewpe
        
        layer1 = torch.nn.Linear(self.in_mlpC, featureC)
        layer2 = torch.nn.Linear(featureC, featureC)
        layer3 = torch.nn.Linear(featureC,3)

        self.mlp = torch.nn.Sequential(layer1, torch.nn.ReLU(inplace=True), layer2, torch.nn.ReLU(inplace=True), layer3)
        torch.nn.init.constant_(self.mlp[-1].bias, 0)

    def forward(self, pts, viewdirs, features):
        indata = [features, viewdirs]
        if self.viewpe > 0:
            indata += [positional_encoding(viewdirs, self.viewpe)]
        mlp_in = torch.cat(indata, dim=-1)
        rgb = self.mlp(mlp_in)
        rgb = torch.sigmoid(rgb)

        return rgb



class TensorBase(torch.nn.Module):
    def __init__(self, aabb, gridSize, density_n_comp = 16, appearance_n_comp = 48, app_dim = 27, density_dim = 8,
                    shadingMode = 'MLP_PE', alphaMask = None, near_far=[2.0,6.0],
                    density_shift = -10, alphaMask_thres=0.0001, distance_scale=25, rayMarch_weight_thres=0.0001,
                    pos_pe = 6, view_pe = 6, fea_pe = 6, featureC=128, step_ratio=0.5,
                    fea2denseAct = 'softplus'):
        super(TensorBase, self).__init__()

        self.density_n_comp = density_n_comp
        self.app_n_comp = appearance_n_comp
        self.app_dim = app_dim
        self.density_dim=density_dim
        self.aabb = aabb
        self.alphaMask = alphaMask
        #self.device=device

        self.density_shift = density_shift
        self.alphaMask_thres = alphaMask_thres
        self.distance_scale = distance_scale
        self.rayMarch_weight_thres = rayMarch_weight_thres
        self.fea2denseAct = fea2denseAct

        self.near_far = near_far
        self.step_ratio = 0.9 #step_ratio原作0.5

        self.update_stepSize(gridSize)

        self.matMode = [[0,1], [0,2], [1,2]]
        self.vecMode =  [2, 1, 0]
        self.comp_w = [1,1,1]


        #self.init_svd_volume(gridSize[0], device)

        self.shadingMode, self.pos_pe, self.view_pe, self.fea_pe, self.featureC = shadingMode, pos_pe, view_pe, fea_pe, featureC
        self.init_render_func(shadingMode, pos_pe, view_pe, fea_pe, featureC)

    def init_render_func(self, shadingMode, pos_pe, view_pe, fea_pe, featureC):
        if shadingMode == 'MLP_PE':
            self.renderModule = MLPRender_PE(self.app_dim, view_pe, pos_pe, featureC)
        elif shadingMode == 'MLP_Fea':
            self.renderModule = MLPRender_Fea(self.app_dim, view_pe, fea_pe, featureC)
        elif shadingMode == 'MLP':
            self.renderModule = MLPRender(self.app_dim, view_pe, featureC)
        elif shadingMode == 'SH':
            self.renderModule = SHRender
        elif shadingMode == 'RGB':
            assert self.app_dim == 3
            self.renderModule = RGBRender
        else:
            print("Unrecognized shading module")
            exit()
        print("pos_pe", pos_pe, "view_pe", view_pe, "fea_pe", fea_pe)
        print(self.renderModule)

    def update_stepSize(self, gridSize):
        self.aabbSize = self.aabb[1] - self.aabb[0]
        self.invaabbSize = 2.0/self.aabbSize
        self.gridSize= gridSize.float()
        self.units=self.aabbSize / (self.gridSize-1)
        self.stepSize=torch.mean(self.units)*self.step_ratio  # TBD step_ratio? why so small 0.5
        self.aabbDiag = torch.sqrt(torch.sum(torch.square(self.aabbSize)))
        self.nSamples=int((self.aabbDiag / self.stepSize).item()) + 1
        print("sampling step size: ", self.stepSize)
        print("sampling number: ", self.nSamples)

    def init_svd_volume(self, res, device):
        pass

    def compute_features(self, xyz_sampled):
        pass
    
    def compute_densityfeature(self, xyz_sampled):
        pass
    
    def compute_appfeature(self, xyz_sampled):
        pass
    
    def normalize_coord(self, xyz_sampled):
        if xyz_sampled.device!=self.invaabbSize.device:
            self.invaabbSize=self.invaabbSize.to(xyz_sampled.device)
        return (xyz_sampled-self.aabb[0]) * self.invaabbSize - 1

    def get_optparam_groups(self, lr_init_spatial = 0.02, lr_init_network = 0.001):
        pass


    def sample_ray_ndc(self, rays_o, rays_d, is_train=True, N_samples=-1):
        N_samples = N_samples if N_samples > 0 else self.nSamples
        near, far = self.near_far
        interpx = torch.linspace(near, far, N_samples).unsqueeze(0).to(rays_o)
        if is_train:
            interpx += torch.rand_like(interpx).to(rays_o) * ((far - near) / N_samples)

        rays_pts = rays_o[..., None, :] + rays_d[..., None, :] * interpx[..., None]
        mask_outbbox = ((self.aabb[0] > rays_pts) | (rays_pts > self.aabb[1])).any(dim=-1)
        return rays_pts, interpx, ~mask_outbbox

    def sample_ray(self, rays_o, rays_d, is_train=True, N_samples=-1):
        N_samples = N_samples if N_samples>0 else self.nSamples
        stepsize = self.stepSize
        near, far = self.near_far
        vec = torch.where(rays_d==0, torch.full_like(rays_d, 1e-6), rays_d)
        rate_a = (self.aabb[1] - rays_o) / vec
        rate_b = (self.aabb[0] - rays_o) / vec
        t_min = torch.minimum(rate_a, rate_b).amax(-1).clamp(min=near, max=far)

        rng = torch.arange(N_samples)[None,None].float()
        if is_train:
            rng = rng.repeat(rays_d.shape[-3],rays_d.shape[-2],1)
            rng += torch.rand_like(rng[...,[0]])
        step = stepsize * rng.to(rays_o.device)
        interpx = (t_min[...,None] + step)

        rays_pts = rays_o[...,None,:] + rays_d[...,None,:] * interpx[...,None]
        mask_outbbox = ((self.aabb[0]>rays_pts) | (rays_pts>self.aabb[1])).any(dim=-1)

        return rays_pts, interpx, ~mask_outbbox


    def shrink(self, new_aabb, voxel_size):
        pass

    @torch.no_grad()
    def getDenseAlpha(self,gridSize=None):
        gridSize = self.gridSize if gridSize is None else gridSize

        samples = torch.stack(torch.meshgrid(
            torch.linspace(0, 1, gridSize[0]),
            torch.linspace(0, 1, gridSize[1]),
            torch.linspace(0, 1, gridSize[2]),
        ), -1).to(self.device)
        dense_xyz = self.aabb[0] * (1-samples) + self.aabb[1] * samples

        # dense_xyz = dense_xyz
        # print(self.stepSize, self.distance_scale*self.aabbDiag)
        alpha = torch.zeros_like(dense_xyz[...,0])
        for i in range(gridSize[0]):
            alpha[i] = self.compute_alpha(dense_xyz[i].view(-1,3), self.stepSize).view((gridSize[1], gridSize[2]))
        return alpha, dense_xyz


    def feature2density(self, density_features):
        if self.fea2denseAct == "softplus":
            return F.softplus(density_features+self.density_shift)
        elif self.fea2denseAct == "relu":
            return F.relu(density_features)


    def compute_alpha(self, xyz_locs, length=1):

        if self.alphaMask is not None:
            alphas = self.alphaMask.sample_alpha(xyz_locs)
            alpha_mask = alphas > 0
        else:
            alpha_mask = torch.ones_like(xyz_locs[:,0], dtype=bool)
            

        sigma = torch.zeros(xyz_locs.shape[:-1], device=xyz_locs.device)

        if alpha_mask.any():
            xyz_sampled = self.normalize_coord(xyz_locs[alpha_mask])
            sigma_feature = self.compute_densityfeature(xyz_sampled)
            validsigma = self.feature2density(sigma_feature)
            sigma[alpha_mask] = validsigma
        

        alpha = 1 - torch.exp(-sigma*length).view(xyz_locs.shape[:-1])

        return alpha


    def forward(self, svd_volume, rays_o, rays_d, bg_color, white_bg=True, is_train=False, ndc_ray=False, N_samples=-1):

        self.svd_volume=svd_volume
        self.app_plane=svd_volume['app_planes']
        self.app_line=svd_volume['app_lines']
        self.basis_mat=svd_volume['basis_mat']
        self.density_plane=svd_volume['density_planes']
        self.density_line=svd_volume['density_lines']

        B,V,H,W,_=rays_o.shape
        rays_o=rays_o.reshape(B,-1, 3)
        rays_d=rays_d.reshape(B,-1, 3)
        if ndc_ray:
            pass
        else:
            #B,H*W*V,sample_num,3
            xyz_sampled, z_vals, ray_valid = self.sample_ray(rays_o, rays_d, is_train=is_train,N_samples=N_samples)
            dists = torch.cat((z_vals[..., 1:] - z_vals[..., :-1], torch.zeros_like(z_vals[..., :1])), dim=-1)
        rays_d = rays_d.unsqueeze(-2).expand(xyz_sampled.shape)
        

        xyz_sampled = self.normalize_coord(xyz_sampled)
        sigma_feature = self.compute_densityfeature(xyz_sampled)

        sigma = self.feature2density(sigma_feature)
        alpha, weight, bg_weight = raw2alpha(sigma, dists)


        app_features = self.compute_appfeature(xyz_sampled)
        rgbs = self.renderModule(xyz_sampled, rays_d, app_features)
        #rgb[app_mask] = valid_rgbs

        acc_map = torch.sum(weight, -1)
        rgb_map = torch.sum(weight[..., None] * rgbs, -2)

        if white_bg or (is_train and torch.rand((1,))<0.5):
            rgb_map = rgb_map + (1. - acc_map[..., None])

        
        rgb_map = rgb_map.clamp(0,1)
        rgb_map=rgb_map.view(B,V,H,W,3).permute(0,1,4,2,3)

        with torch.no_grad():
            depth_map = torch.sum(weight * z_vals, -1)
        depth_map=depth_map.view(B,V,H,W,1).permute(0,1,4,2,3)
        acc_map=acc_map.view(B,V,H,W,1).permute(0,1,4,2,3)

        results = {
            'image':rgb_map,
            'alpha':acc_map,
            'depth_map':depth_map
        }

        return results # rgb, sigma, alpha, weight, bg_weight