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Dual Loops Meshing: Quality Quad Layouts on Manifolds

机译:双循环网格划分:流形上的高质量四边形布局

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We present a theoretical framework and practical method for the automatic construction of simple, all-quadrilateral patch layouts on manifold surfaces. The resulting layouts are coarse, surfaceembedded cell complexes well adapted to the geometric structure, hence they are ideally suited as domains and base complexes for surface parameterization, spline fitting, or subdivision surfaces and can be used to generate quad meshes with a high-level patch structure that are advantageous in many application scenarios. Our approach is based on the careful construction of the layout graphs combinatorial dual. In contrast to the primal this dual perspective provides direct control over the globally interdependent structural constraints inherent to quad layouts. The dual layout is built from curvature-guided, crossing loops on the surface. A novel method to construct these efficiently in a geometry- and structure-aware manner constitutes the core of our approach.
机译:我们提出了一种在流形表面上自动构造简单的全四边形面片布局的理论框架和实用方法。生成的布局是非常适合几何结构的粗糙的,表面嵌入的单元格复合体,因此它们非常适合用作表面参数化,样条拟合或细分表面的域和基础复合体,并可用于生成具有高级贴片的四边形网格在许多应用场景中都有优势的结构。我们的方法是基于布局图组合对偶的精心构建。与原始模型相比,这种双重观点提供了对四边形布局固有的全局相互依赖的结构约束的直接控制。双重布局由曲面上的曲率引导的交叉环构建而成。一种以几何和结构感知的方式有效构造这些的新颖方法构成了我们方法的核心。

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