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Alias-free voxelization of geometric objects

机译:几何对象的无别名体素化

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Introduces a new concept for alias-free voxelization of geometric objects based on a voxelization model (V-model). The V-model of an object is its representation in 3D continuous space by a trivariate density function. This function is sampled during the voxelization and the resulting values are stored in a volume buffer. This concept enables us to study general issues of sampling and rendering separately from object-specific design issues. It provides us with a possibility to design such V-models, which are correct from the point of view of both the sampling and rendering, thus leading to both alias-free volumetric representation and alias-free rendered images. We performed numerous experiments with different combinations of V-models and reconstruction techniques. We have shown that the V-model with a Gaussian surface density profile combined with tricubic interpolation and Gabor derivative reconstruction outperforms the previously published technique with a linear density profile. This enables higher fidelity of images rendered from volume data due to increased sharpness of edges and thinner surface patches.
机译:引入了基于体素化模型(V模型)的几何对象的无别名体素化的新概念。对象的V模型是通过三变量密度函数在3D连续空间中的表示。在体素化期间对该函数进行采样,并将结果值存储在体积缓冲区中。这个概念使我们能够与对象特定的设计问题分开研究采样和渲染的一般问题。它为我们提供了设计这样的V模型的可能性,这些V模型从采样和渲染的角度来看都是正确的,从而导致无别名的体积表示和无别名的渲染图像。我们使用V模型和重构技术的不同组合进行了许多实验。我们已经表明,具有高斯表面密度分布,结合三次三次插值和Gabor导数重构的V模型优于线性密度分布的先前发布的技术。由于增加了边缘的清晰度和更薄的表面斑块,因此可以提高从体积数据渲染的图像的保真度。

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