GRCVJun 30, 2023

MARF: The Medial Atom Ray Field Object Representation

arXiv:2307.00037v16 citationsh-index: 36Has Code
Originality Incremental advance
AI Analysis

This work addresses challenges in neural rendering for computer vision and graphics, offering potential applications in shape retrieval and completion, though it appears incremental in improving existing neural ray field methods.

The paper tackles the problem of multi-view inconsistency and surface discontinuity representation in neural ray fields by proposing Medial Atom Ray Fields (MARFs), a novel neural object representation that enables accurate differentiable surface rendering with a single network evaluation per camera ray, using a medial shape representation to provide geometrically grounded surface normals and analytical curvature.

We propose Medial Atom Ray Fields (MARFs), a novel neural object representation that enables accurate differentiable surface rendering with a single network evaluation per camera ray. Existing neural ray fields struggle with multi-view consistency and representing surface discontinuities. MARFs address both using a medial shape representation, a dual representation of solid geometry that yields cheap geometrically grounded surface normals, in turn enabling computing analytical curvature despite the network having no second derivative. MARFs map a camera ray to multiple medial intersection candidates, subject to ray-sphere intersection testing. We illustrate how the learned medial shape quantities applies to sub-surface scattering, part segmentation, and aid representing a space of articulated shapes. Able to learn a space of shape priors, MARFs may prove useful for tasks like shape retrieval and shape completion, among others. Code and data can be found at https://github.com/pbsds/MARF.

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