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Cubical Marching Squares (CMS) |
Abstract [Chinese version]
In this paper, we present a new method for surface extraction from volume data which preserves sharp features,
maintains consistent topology and generates surface adaptively without crack patching. Our approach is based
on the marching cubes algorithm, a popular method to convert volumetric data to polygonal meshes. The original
marching cubes algorithm suffers from problems of topological inconsistency, cracks in adaptive techniques and
inability to preserve sharp features. Most of marching cubes variants only focus on one or some of these problems.
Although these techniques could be combined to solve these problems altogether, such a combination might
not be straightforward. Moreover, some feature-preserving variants introduce an additional problem, inter-cell
dependency. Our method provides a relatively simple and easy-to-implement solution to all these problems by
converting 3D marching cubes into 2D cubical marching squares and resolving topology ambiguity with sharp
features. We compare our algorithm with other marching cubes variants and demonstrate its effectiveness on
various applications.
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