map_pdf_to_opacity

[jiho314]

Hi thank you for your great work!

Could you please explailn why did you use pdf with warming up? Also I'm curious about the reference of the equation.

src.model.encoder. encoder_nopo_splat:

map_pdf_to_opacity

  def map_pdf_to_opacity(
        self,
        pdf: Float[Tensor, " *batch"],
        global_step: int,
    ) -> Float[Tensor, " *batch"]:
        # https://www.desmos.com/calculator/opvwti3ba9

        # Figure out the exponent.
        cfg = self.cfg.opacity_mapping
        x = cfg.initial + min(global_step / cfg.warm_up, 1) * (cfg.final - cfg.initial)
        exponent = 2**x

        # Map the probability density to an opacity.
        return 0.5 * (1 - (1 - pdf) ** exponent + pdf ** (1 / exponent))