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首页> 外文会议>The 12th International Conference on Computer-Aided Design and Computer Graphics >Multi-resolution Mesh Fitting by B-spline Surfaces for Reverse Engineering
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Multi-resolution Mesh Fitting by B-spline Surfaces for Reverse Engineering

机译：通过B样条曲面进行多分辨率网格拟合以进行逆向工程

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摘要

This paper presents a new multi-resolution mesh fitting algorithm, extending the adaptive patch-based fitting scheme where each underlying quadrilateral is recursively subdivided into four sub-patches. In this paper, the G1 continuity constraints, which mainly consist of perpendicular constraints and twist compatibility constraints, are deduced for B-spline patches. In order to construct a unique B-spline patch for each quadrilateral, the mesh vertices are applied in a least-square approximation, and the energy functions associated with a patch are minimized. In contrast to the original algorithm, this paper fits the mesh into B-spline patches instead of Bezier patches with G1 continuity. The B-spline patches make the algorithm have more free control points to be used for optimizing the shape of the quadrilateral patches to achieve higher flexible patch control and less recursive times.
机译：本文提出了一种新的多分辨率网格拟合算法，扩展了基于自适应补丁的拟合方案，其中将每个基础四边形递归细分为四个子补丁。本文推导了B样条斑块的G1连续性约束，主要由垂直约束和扭曲相容性约束组成。为了为每个四边形构造唯一的B样条斑块，以最小二乘近似法应用网格顶点，并最小化与斑块相关的能量函数。与原始算法相反，本文将网格拟合为B样条斑块，而不是具有G1连续性的Bezier斑块。 B样条补丁使该算法具有更多自由控制点，可用于优化四边形补丁的形状，以实现更高的灵活补丁控制和更少的递归时间。

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