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• W2151792723 abstract "We study the relationship between the noise in the vertex coordinates of a triangle mesh and normal noise. First, we compute in closed form the expectation for the angle θ between the new and the old normal when uniform noise is added to a single vertex of a triangle. Next, we propose and experimentally validate an approximation and lower and upper bounds for θ when uniform noise is added to all three vertices of the triangle. In all cases, for small amounts of spatial noise that do not severely distort the mesh, there is a linear correlation between θ and simple functions of the heights of the triangles and thus, θ can be computed efficiently. The addition of uniform spatial noise to a mesh can be seen as a dithered quantization of its vertices. We use the obtained linear correlations between spatial and normal noise to compute the level of dithered quantization of the mesh vertices when a tolerance for the average normal distortion is given." @default.
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• W2151792723 date "2013-01-01" @default.
• W2151792723 modified "2023-09-23" @default.
• W2151792723 title "Linear Correlations between Spatial and Normal Noise in Triangle Meshes" @default.
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• W2151792723 doi "https://doi.org/10.1109/tvcg.2012.106" @default.
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