eprintid: 10198472 rev_number: 9 eprint_status: archive userid: 699 dir: disk0/10/19/84/72 datestamp: 2024-11-14 15:30:21 lastmod: 2024-11-14 15:30:21 status_changed: 2024-11-14 15:30:21 type: thesis metadata_visibility: show sword_depositor: 699 creators_name: Morreale, Luca title: Neural Surface Representations ispublished: unpub divisions: UCL divisions: B04 divisions: F48 note: Copyright © The Author 2024. Original content in this thesis is licensed under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) Licence (https://creativecommons.org/licenses/by/4.0/). Any third-party copyright material present remains the property of its respective owner(s) and is licensed under its existing terms. abstract: Classic shape representations define 3D models as a set of discrete elements, generally as triangles or quads. This description is widely adopted across graphics pipelines, from rendering, compression, and shape editing, to shape correspondence. Recently, neural shape representations have emerged as effective tools to describe complex geometries and structures. Models are encoded in network weights, that are then queried through a 3D or 2D point. However, most of these representations are task-specific and thus must be converted back to meshes to be used across applications. The need for a flexible representation, adaptable across the different neural pipelines, that lends itself to optimizations, remains. This thesis explores the idea of neural surface representations as a map. First, we define surfaces as 2D-3D map encoded into neural network weights, dubbed Neural Surface Map. We adopt it as a building block to define a comprehensive mapping framework. Indeed, by composing multiple maps, we establish and optimize correspondences between shapes. This framework sidesteps the intricacies of optimization encountered by conventional methods while achieving continuous and bijective maps. Then, building on this foundation, we relax constraints within the mapping framework. In particular, we eliminate the need for human supervision by extracting (noisy) labels from pre-trained models. These labels are used to distil inter-surface maps between highly non-isometric shape pairs. Finally, by interpreting a shape as the composition of a coarse structure and detail, we extend the neural representation to enable shape manipulation, compression, and detailed transfer. Intuitively, the structure defines the pose of the model and details repeating information, such as wrinkles. This representation lends itself to interactive shape manipulation, such as feature enhancement, while compressing detail into the network weights. date: 2024-10-28 date_type: published oa_status: green full_text_type: other thesis_class: doctoral_open thesis_award: Ph.D language: eng primo: open primo_central: open_green verified: verified_manual elements_id: 2327334 lyricists_name: Morreale, Luca lyricists_id: LMORR34 actors_name: Morreale, Luca actors_id: LMORR34 actors_role: owner full_text_status: public pages: 145 institution: UCL (University College London) department: Computer Science thesis_type: Doctoral citation: Morreale, Luca; (2024) Neural Surface Representations. Doctoral thesis (Ph.D), UCL (University College London). Green open access document_url: https://discovery.ucl.ac.uk/id/eprint/10198472/1/PhD_Thesis_final.pdf