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adaptive unsigned distance field
An adaptive unsigned distance field is an implicit geometric representation that maps points in three-dimensional space to their shortest non-negative distance to a target surface, dynamically adjusting its calculation or sampling based on local geometric complexity and data density. Unlike signed distance fields that require closed, watertight boundaries to distinguish between inside and outside regions, unsigned distance fields can represent open surfaces, multi-layered structures, and arbitrary non-manifold topologies. The adaptive mechanism allows the field to dynamically estimate distances directly from unstructured or sparse spatial data, such as raw point clouds, without relying on complete surface meshes. This dynamic adjustment captures fine geometric details and accounts for non-uniform sampling densities while maintaining computational efficiency.
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