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首页> 外文会议>Conference on Vision Geometry XII; 20040119-20040120; San Jose,CA; US >Curve-based local surface geometry estimation in polyhedral surfaces
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Curve-based local surface geometry estimation in polyhedral surfaces

机译：多面曲面中基于曲线的局部曲面几何估计

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摘要

Accurate curvature estimation in mesh surfaces is an important problem with numerous applications. Curvature is a significant indicator of ridges and can be used in applications such as: recognition, adaptive smoothing, and compression. Common methods for curvature estimation are based on quadric surface fitting to local neighborhoods. While the use of quadric surface patches simplifies computations, due to its simplicity the quadric surface model is incapable of modeling accurately the local surface geometry and introduces a strong element of smoothing into the computations. Hence, reducing the accuracy of the curvature estimation. The method proposed in this paper models the local surface geometry by using a set of quadratic curves. Consequently, as the proposed model has a large number of degrees of freedom, it is capable of modeling the local surface geometry much more accurately compared to quadric surface fitting. The experimental setup for evaluating the proposed approach is composed of randomly generated Bezier surfaces for which the curvature is known with various levels of additive Gaussian noise. We compare the results obtained by the proposed approach to those obtained by other techniques. It is demonstrated that the proposed approach produces significantly improved estimation results which are less sensitive to noise.
机译：网格曲面中准确的曲率估算是众多应用中的重要问题。曲率是隆起的重要指标，可用于诸如识别，自适应平滑和压缩之类的应用中。曲率估计的常用方法基于对局部邻域的二次曲面拟合。虽然使用二次曲面补丁简化了计算，但由于其简单性，二次曲面模型无法准确地建模局部曲面几何形状，并在计算中引入了强大的平滑元素。因此，降低了曲率估计的准确性。本文提出的方法通过使用一组二次曲线对局部表面几何形状进行建模。因此，由于所提出的模型具有很大的自由度，因此与二次曲面拟合相比，它能够更精确地建模局部表面几何形状。用于评估所提出方法的实验装置由随机生成的Bezier曲面组成，其曲率已知且具有各种水平的加性高斯噪声。我们将通过提议的方法获得的结果与通过其他技术获得的结果进行比较。证明了所提出的方法产生了显着改善的估计结果，该估计结果对噪声不太敏感。

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