We present a simple algorithm for differentiable rendering of surfaces represented by Signed Distance Fields (SDF), which makes it easy to integrate rendering into gradient-based optimization pipelines. To tackle visibility-related derivatives that make rendering non-differentiable, existing physically based differentiable rendering methods often rely on elaborate guiding data structures or reparameterization with a global impact on variance. In this article, we investigate an alternative that embraces nonzero bias in exchange for low variance and architectural simplicity. Our method expands the lower-dimensional boundary integral into a thin band that is easy to sample when the underlying surface is represented by an SDF. We demonstrate the performance and robustness of our formulation in end-to-end inverse rendering tasks, where it obtains results that are competitive with or superior to existing work.

我们提出了一种简单的算法，用于可微性渲染被有符号距离场（SDF）表示的表面，从而使渲染能够容易地融入基于梯度的优化流程中，并通过容忍非零偏差以换取低方差和架构简化的方式来解决与可见性相关的导数问题。我们的方法将边界积分扩展为一个窄带，这在基于SDF表示下的表面上采样起来很容易。我们在端到端逆向渲染任务中展示了我们方法的性能和稳健性，并获得与现有工作相竞争或优越的结果。

可微分的SDF渲染的简单方法