Deep learning

Tiled rendering

Graphics

Mathematics

3D computer graphics

Gene

Algorithm

Computer graphics (images)

Software rendering

Mathematical analysis

Artificial intelligence

Chemistry

Differentiable function

Rendering (computer graphics)

Computer science

Artificial neural network

Biochemistry

Robustness (evolution)

We propose a differentiable sphere tracing algorithm to bridge the gap between inverse graphics methods and the recently proposed deep learning based implicit signed distance function. Due to the nature of the implicit function, the rendering process requires tremendous function queries, which is particularly problematic when the function is represented as a neural network. We optimize both the forward and backward pass of our rendering layer to make it run efficiently with affordable memory consumption on a commodity graphics card. Our rendering method is fully differentiable such that losses can be directly computed on the rendered 2D observations, and the gradients can be propagated backward to optimize the 3D geometry. We show that our rendering method can effectively reconstruct accurate 3D shapes from various inputs, such as sparse depth and multi-view images, through inverse optimization. With the geometry based reasoning, our 3D shape prediction methods show excellent generalization capability and robustness against various noises.

DIST: Rendering Deep Implicit Signed Distance Function With Differentiable Sphere Tracing