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首页> 外文期刊>Journal of applied geodesy >A constraint-based parameterization technique for B-spline surfaces
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A constraint-based parameterization technique for B-spline surfaces

机译：B样条曲面的基于约束的参数化技术

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摘要

Deformation analysis is one of the classical tasks in engineering geodesy. The development of the laser scanner has changed the data acquisition as well as the analysis strategy; instead of point-based approaches, areal ones move into focus. In this paper, a project is presented which aims to develop a spatiotemporal continuous collocation in order to describe areal deformations. The collocation requires among other things the modelling of a deterministic trend which is realized by the estimation of B-spline surfaces in the present study. One of the main challenges in the estimation of such free-form surfaces is the definition of an appropriate parameter form which is in the focus of this contribution. An initial parameterization is obtained by projecting the acquired point cloud onto a base surface called Coons patch. By means of a reparameterization, these initial parameters are improved iteratively. In order to handle irregular point densities, several strategies to introduce boundary constraints into the adjustment are developed, compared and evaluated.
机译：变形分析是工程大地测量学中的经典任务之一。激光扫描仪的发展改变了数据采集和分析策略。代替基于点的方法，将区域方法作为重点。在本文中，提出了一个旨在发展时空连续搭配以描述区域变形的项目。搭配使用除其他事项外，还需要对确定性趋势进行建模，这是通过本研究中B样条曲面的估计实现的。估计这种自由曲面的主要挑战之一是定义适当的参数形式，这是该贡献的重点。通过将获取的点云投影到称为Coons面片的基础表面上，可以获得初始参数化。通过重新参数化，这些初始参数被迭代地改善。为了处理不规则的点密度，开发，比较和评估了几种将边界约束引入调整的策略。

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