“Level-of-Detail for Geometry Processing and Simulation” by Zhang and Liu
Conference:
Type(s):
Title:
- Level-of-Detail for Geometry Processing and Simulation
Organizer(s):
Presenter(s)/Author(s):
Abstract:
Level-of-detail (LoD) is a concept we intuitively experience in everyday life—whether it’s how our brains filter visual information or how digital maps adjust as we zoom. At its core, LoD is about allocating detail where it matters most, striking a balance between efficiency and precision. While originally developed to accelerate rendering in computer graphics, modern LoD techniques have evolved into a powerful framework for constructing hierarchical shape representations and designing multilevel solvers in geometry processing and simulation. This course begins by highlighting the role of LoD not just in visualization, but more importantly in numerical computation. We introduce key methods for constructing hierarchical structures, then dive into the design of multilevel solvers—focusing on how to transfer quantities and signals across levels, with special emphasis on surface self-parametrization and intrinsic prolongation [Liu et al. 2021]. We conclude with applications that showcase how these hierarchical frameworks enable efficient, accurate and scalable solutions to both intrinsic and extrinsic geometric problems in geometry processing and physical simulation.
Additional Information:
Beginner
Prerequisite: While prior experience in geometry processing and simulation is beneficial, no specific background in LoD techniques is required. This course provides a structured introduction to key concepts, offering foundational intuition while exploring state-of-the-art developments and practical applications. This course is especially valuable for those looking to engage with ongoing research and contribute to the field, whether by advancing recent developments, tackling open problems, or integrating LoD techniques into real-world applications. By the end, participants will have a solid starting point to further explore computational LoD in geometry processing and simulation.
Topics: Geometry, Simulation
List of topics and approximate times: This 3-hour course, presented by two speakers in turns, includes a 10-minute break at the midpoint and covers key technical topics: a comprehensive introduction to LoD methods, hierarchical representations, building hierarchical operators, and applications in geometry processing and simulation. The session concludes with a 15-minute live coding demo to reinforce key concepts.
Additional Info: Level-of-detail (LoD) is a concept we experience in everyday life and an important topic in graphics. This course explores modern LoD techniques beyond rendering, focusing on hierarchical representations and multilevel solvers for geometry processing and simulation. We demonstrate applications showing how LoD enables efficient, accurate and scalable geometric computation.
