nerf/network.py

import torch
import torch.nn as nn
import torch.nn.functional as F

from activation import trunc_exp
from .renderer import NeRFRenderer

import numpy as np
from encoding import get_encoder

from .utils import safe_normalize

class MLP(nn.Module):
    def __init__(self, dim_in, dim_out, dim_hidden, num_layers, bias=True):
        super().__init__()
        self.dim_in = dim_in
        self.dim_out = dim_out
        self.dim_hidden = dim_hidden
        self.num_layers = num_layers

        net = []
        for l in range(num_layers):
            net.append(nn.Linear(self.dim_in if l == 0 else self.dim_hidden, self.dim_out if l == num_layers - 1 else self.dim_hidden, bias=bias))

        self.net = nn.ModuleList(net)
    
    def forward(self, x):
        for l in range(self.num_layers):
            x = self.net[l](x)
            if l != self.num_layers - 1:
                x = F.relu(x, inplace=True)
        return x


class NeRFNetwork(NeRFRenderer):
    def __init__(self, 
                 opt,
                 num_layers=5,
                 hidden_dim=128,
                 num_layers_bg=3,
                 hidden_dim_bg=128,
                 ):
        
        super().__init__(opt)

        self.num_layers = num_layers
        self.hidden_dim = hidden_dim

        self.encoder, self.in_dim = get_encoder('frequency', input_dim=3)

        self.sigma_net = MLP(self.in_dim, 4, hidden_dim, num_layers, bias=True)

        # background network
        if self.bg_radius > 0:
            self.num_layers_bg = num_layers_bg   
            self.hidden_dim_bg = hidden_dim_bg

            self.encoder_bg, self.in_dim_bg = get_encoder('tiledgrid', input_dim=2)

            self.bg_net = MLP(self.in_dim_bg, 3, hidden_dim_bg, num_layers_bg, bias=True)
            
        else:
            self.bg_net = None

    def gaussian(self, x):
        # x: [B, N, 3]
        
        d = (x ** 2).sum(-1)
        g = 5 * torch.exp(-d / (2 * 0.2 ** 2))

        return g

    def common_forward(self, x):
        # x: [N, 3], in [-bound, bound]

        # sigma
        h = self.encoder(x, bound=self.bound)

        h = self.sigma_net(h)

        sigma = trunc_exp(h[..., 0] + self.gaussian(x))
        albedo = torch.sigmoid(h[..., 1:])

        return sigma, albedo
    
    # ref: https://github.com/zhaofuq/Instant-NSR/blob/main/nerf/network_sdf.py#L192
    def finite_differnce_normal(self, x, epsilon=5e-4):
        # x: [N, 3]
        dx_pos, _ = self.common_forward((x + torch.tensor([[epsilon, 0.00, 0.00]], device=x.device)).clamp(-self.bound, self.bound))
        dx_neg, _ = self.common_forward((x + torch.tensor([[-epsilon, 0.00, 0.00]], device=x.device)).clamp(-self.bound, self.bound))
        dy_pos, _ = self.common_forward((x + torch.tensor([[0.00, epsilon, 0.00]], device=x.device)).clamp(-self.bound, self.bound))
        dy_neg, _ = self.common_forward((x + torch.tensor([[0.00, -epsilon, 0.00]], device=x.device)).clamp(-self.bound, self.bound))
        dz_pos, _ = self.common_forward((x + torch.tensor([[0.00, 0.00, epsilon]], device=x.device)).clamp(-self.bound, self.bound))
        dz_neg, _ = self.common_forward((x + torch.tensor([[0.00, 0.00, -epsilon]], device=x.device)).clamp(-self.bound, self.bound))
        
        normal = torch.stack([
            0.5 * (dx_pos - dx_neg) / epsilon, 
            0.5 * (dy_pos - dy_neg) / epsilon, 
            0.5 * (dz_pos - dz_neg) / epsilon
        ], dim=-1)

        return normal
    
    def forward(self, x, d, l=None, ratio=1, shading='albedo'):
        # x: [N, 3], in [-bound, bound]
        # d: [N, 3], view direction, nomalized in [-1, 1]
        # l: [3], plane light direction, nomalized in [-1, 1]
        # ratio: scalar, ambient ratio, 1 == no shading (albedo only), 0 == only shading (textureless)

        if shading == 'albedo':
            # no need to query normal
            sigma, color = self.common_forward(x)
            normal = None
        
        else:
            # query normal

            # sigma, albedo = self.common_forward(x)
            # normal = self.finite_differnce_normal(x)

            with torch.enable_grad():
                x.requires_grad_(True)
                sigma, albedo = self.common_forward(x)
                # query gradient
                normal = - torch.autograd.grad(torch.sum(sigma), x, create_graph=True)[0] # [N, 3]

            # normalize...
            normal = safe_normalize(normal)
            normal[torch.isnan(normal)] = 0

            # light direction (random if not provided)
            if l is None:
                l = torch.randn(3, device=x.device, dtype=torch.float)
                l = safe_normalize(l)

            # lambertian shading
            lambertian = ratio + (1 - ratio) * (normal @ -l).clamp(min=0) # [N,]

            if shading == 'textureless':
                color = lambertian.unsqueeze(-1).repeat(1, 3)
            elif shading == 'normal':
                color = (normal + 1) / 2
            else: # 'lambertian'
                color = albedo * lambertian.unsqueeze(-1)
            
        return sigma, color, normal

      
    def density(self, x):
        # x: [N, 3], in [-bound, bound]
        
        sigma, albedo = self.common_forward(x)
        
        return {
            'sigma': sigma,
            'albedo': albedo,
        }


    def background(self, x, d):
        # x: [N, 2], in [-1, 1]

        h = self.encoder_bg(x) # [N, C]
        
        h = self.bg_net(h)

        # sigmoid activation for rgb
        rgbs = torch.sigmoid(h)

        return rgbs

    # optimizer utils
    def get_params(self, lr):

        params = [
            # {'params': self.encoder.parameters(), 'lr': lr * 10},
            {'params': self.sigma_net.parameters(), 'lr': lr},
        ]        

        if self.bg_radius > 0:
            # params.append({'params': self.encoder_bg.parameters(), 'lr': lr * 10})
            params.append({'params': self.bg_net.parameters(), 'lr': lr})

        return params