Polycube Layouts via Iterative Dual Loops
CoRR(2024)
摘要
Polycube layouts for 3D models effectively support a wide variety of methods
such as hex-mesh construction, seamless texture mapping, spline fitting, and
multi-block grid generation. Our study of polycube layouts is motivated by
conformal mesh generation for aerospace modelling. In this setting, quality and
correctness guarantees are of the utmost importance. However, currently the
fully automatic construction of valid polycube layouts still poses significant
challenges: state-of-the-art methods are generally not guaranteed to return a
proper solution, even after post-processing, or they use a prohibitively large
number of voxels that add detail indiscriminately.
In this paper we present a robust, flexible, and efficient method to generate
polycube layouts. Our approach is based on a dual representation for polycube
layouts and builds a layout by iteratively adding dual loops. Our construction
is robust by design: at any iterative step we maintain a valid polycube layout.
We offer the flexibility of manual intervention if the user so desires: while
our method is able to compute a complete polycube layout without user
intervention, the user can interrupt after each iteration and target further
refinement on both the local and the global level. Last but not least, our
method is efficient and can be implemented using comparatively simple
algorithmic building blocks. Our implementation is publicly available and we
present its output for numerous benchmark models.
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