Abstract

In this paper, we present RayTracer.jl, a renderer in Julia that is fully differentiable using source-to-source Automatic Differentiation (AD). This means that RayTracer not only renders 2D images from 3D scene parameters, but it can be used to optimize for model parameters that generate a target image in a Differentiable Programming (DP) pipeline. We interface our renderer with the deep learning library Flux for use in combination with neural networks. We demonstrate the use of this differentiable renderer in rendering tasks and in solving inverse graphics problems.

Highlights

  • Rendering is a technique of generating photo-realistic or nonphoto-realistic 2D projections from 3D objects

  • We explore the idea of differentiability through a renderer, by leveraging the Automatic Differentiation (AD) in Julia [3]

  • Our renderer contains very little code for integration with Zygote, and in theory, we can plug in any other AD software written in Julia

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Summary

Introduction

Rendering is a technique of generating photo-realistic or nonphoto-realistic 2D projections from 3D objects. The ray can undergo reflection and refraction due to interactions with the objects in its path This technique, is very computationally expensive and difficult to do in real-time. Since ray tracing leverages the properties of the materials of the objects in the scene, a natural extension to the rendering problem would be to extract the exact properties of the materials, lighting, and so on, given an image of a scene. Calculating analytic gradients for every single parameter of the scene is a very tedious process and prone to errors This has made it a difficult task to present a general gradient-based inverse rendering method. Rendering is a computationally expensive technique, and so it is generally done in static languages like C++ Developing software in such languages are incredibly time-consuming. Our renderer contains very little code for integration with Zygote, and in theory, we can plug in any other AD software written in Julia

Differentiable Ray Tracing
Scene Rendering
Inverse Rendering
Experiments
Accelerating the Rendering using Acceleration Structures
Comparison with Finite Differencing
Calibration of Camera Parameters
Retrieving Color of Materials
Current Limitations
Conclusion
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