Quantum mechanics

Algorithm

Scale (ratio)

Bayesian probability

Computer graphics (images)

Scalability

Computer science

Interpolation (computer graphics)

Grid

Embedding

Physics

Database

Psychology

Pattern recognition (psychology)

Mathematics

Politics

Image (mathematics)

Political science

Psychotherapist

Generality

Artificial intelligence

Geometry

Representation (politics)

Polygon mesh

Encoding (memory)

Prior probability

Computer vision

Shape priors learned from data are commonly used to reconstruct 3D objects from partial or noisy data. Yet no such shape priors are available for indoor scenes, since typical 3D autoencoders cannot handle their scale, complexity, or diversity. In this paper, we introduce Local Implicit Grid Representations, a new 3D shape representation designed for scalability and generality. The motivating idea is that most 3D surfaces share geometric details at some scale -- i.e., at a scale smaller than an entire object and larger than a small patch. We train an autoencoder to learn an embedding of local crops of 3D shapes at that size. Then, we use the decoder as a component in a shape optimization that solves for a set of latent codes on a regular grid of overlapping crops such that an interpolation of the decoded local shapes matches a partial or noisy observation. We demonstrate the value of this proposed approach for 3D surface reconstruction from sparse point observations, showing significantly better results than alternative approaches.

Local Implicit Grid Representations for 3D Scenes