# Exploring differential geometry in neural implicits

@article{Novello2022ExploringDG, title={Exploring differential geometry in neural implicits}, author={Tiago Novello and Guilherme Gonçalves Schardong and Luiz Schirmer and Vin{\'i}cius da Silva and H{\'e}lio Lopes and Luiz Velho}, journal={Comput. Graph.}, year={2022}, volume={108}, pages={49-60} }

## 4 Citations

### Neural Implicit Surface Evolution using Differential Equations

- Computer Science
- 2022

This work investigates the use of smooth neural networks for modeling dynamic variations of implicit surfaces under partial differential equations (PDE). For this purpose, it extends the…

### Neural Implicit Mapping via Nested Neighborhoods

- Computer Science
- 2022

The neural normal mapping transfers details from a neural SDF to a surface nested on a neighborhood of its zero-level set, and it can be used to fetch smooth normals for discrete surfaces such as meshes and to skip later iterations when sphere tracing level sets.

### ORCa: Glossy Objects as Radiance Field Cameras

- Computer Science
- 2022

It is shown that recovering the environment radiance enables depth and radiance estimation from the object to its surroundings in addition to beyond ﬁeld-of-view novel-view synthesis, i.e. rendering of novel views that are only directly-visible to the glossy object present in the scene, but not the observer.

### Understanding Sinusoidal Neural Networks

- Computer ScienceArXiv
- 2022

It is proved that the composition of sinusoidal layers expands as a sum of sines consisting of a large number of new frequencies given by linear combinations of the weights of the network’s first layer.

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