CISE Postdoctoral Research Associate: Approximation of Complex Geometries and Data Reduction with NURBS; ES Postdoctoral Associate Anshuman Razdan

Farin， Gerald E亚利桑那州立大学CISE博士后研究助理：用NURBS逼近复杂几何和数据约简该奖项支持助理Anshuman Razdan。在高层次上，本研究旨在开发复杂物体（如骨表面）的计算机表示方法。人类学家和生物医学工程师因为缺乏可以分析的数据的数学结构而受到限制，例如骨头的表面。计算机辅助几何设计（CAGD）技术将应用于将这些非结构化数据转换为结构化形式。密集的点云数据将用于将离散曲面描述为光滑的参数NURB（非均匀有理B样条）曲面。将开发数据简化技术，以减少描述曲面所需的数据量。将开发3D工具来促进对这些表面的询问和分析，以量化曲率等测量。这项研究将与校园里名为PRISM的新跨学科设施的一位身体人类学家合作。表面模型还将生成STL（立体光刻格式）文件，用于快速原型机的3D硬拷贝输出。这些可以作为人体形态学研究和比较解剖学和生物工程课程教学的触觉模型。

9625816 Farin, Gerald E Arizona State University CISE Postdoctoral Research Associate: Approximation of Complex Geometries and Data Reduction with NURBS This award supports associate Anshuman Razdan. At a high level, this research aims to develop a methodology for the computer representation of complex objects such as bone surfaces. Anthropologists and bio-medical engineers are restricted for lack of mathematical structure of data that can be analyzed, an example being the surfaces of bones. Computer Aided Geometric Design (CAGD) techniques will be applied to convert this unstructured data into a structured form. Dense point cloud data will be used to describe the discretized surfaces as a smooth parametric NURB (Non Uniform Rational B Spline) surface(s). Data reduction techniques will be developed to reduce the amount of data required to describe the surface(s). 3D tools will be developed to facilitate interrogation and analysis of these surfaces, to quantify measures such as curvature. The research will collaborate with a physical anthropologist at the new inter-disciplinary facility on campus, called PRISM. The surface models will also generate the STL (stereolithography format) files for 3D hard copy outputs on rapid prototyping machines. These can be used as tactile models for research into human morphology and the teaching of comparative anatomy and bio-engineering courses.