给出了大加权三角形不等式的一个简单推论，由之简捷地推导出一些新的涉及三角形内部任一点的三元二次型不等式。

This paper presents a simple deduction of an inequality for heavy weighted triangles, and with it some new quadratic inequalities of three variants at any point within a triangle.

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对于网格模型简化问题，本文提出了一种基于网格顶点曲率加权该顶点邻接三角形面积的顶点删除简化算法。

This algorithm removes vertices of the mesh according to the curvature of the vertex weighted by the area of the triangles which are adjacent to that vertex.

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给出了一种基于三角形内角加权和二次误差度量的三角形折叠算法来简化三角网格模型。

A triangle collapse algorithm is presented, which is based on internal angles weighted and quadric error metrics to simplify mesh models.

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