Medial Skeletal Diagram: A Generalized Medial Axis Approach for Compact 3D Shape Representation
CoRR(2023)
摘要
We propose the Medial Skeletal Diagram, a novel skeletal representation that
tackles the prevailing issues around compactness and reconstruction accuracy in
existing skeletal representations. Our approach augments the continuous
elements in the medial axis representation to effectively shift the complexity
away from discrete elements. To that end, we introduce generalized enveloping
primitives, an enhancement of the standard primitives in medial axis, which
ensures efficient coverage of intricate local features of the input shape and
substantially reduces the number of discrete elements required. Moreover, we
present a computational framework that constructs a medial skeletal diagram
from an arbitrary closed manifold mesh. Our optimization pipeline ensures that
the resulting medial skeletal diagram comprehensively covers the input shape
with the fewest primitives. Additionally, each optimized primitive undergoes a
post-refinement process to guarantee an accurate match with the source mesh in
both geometry and tessellation. We validate our approach on a comprehensive
benchmark of 100 shapes, demonstrating its compactness of the discrete elements
and superior reconstruction accuracy across a variety of cases. Furthermore, we
exemplify the versatility of our representation in downstream applications such
as shape optimization, shape generation, mesh decomposition, mesh alignment,
mesh compression, and user-interactive design.
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关键词
generalized medial axis approach,shape,3d,representation
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