US-Turkey Cooperative Research: A New Implicit Polynomial Technology for Advanced Manufacturing

描述：该奖项是为了支持布朗大学工程系William Wolovich博士和土耳其伊斯坦布尔Bogazici大学工业工程系Aytul Ercil博士的合作研究。他们计划扩展和应用美国和土耳其在隐式多项式（IP）技术上取得的最新进展，以改进制造对象的建模、识别、测量、对齐、设计和制造方式。具体来说，他们计划应用和扩展新的IP技术，包括圆锥线分解和相关的点比，3L和PIM拟合算法，边界曲线混合程序，以及新的缩放和塑造方法，以广泛的制造对象。他们将研究：使用IP模型及其代数不变量进行快速准确的对象识别和对齐；对实验（视觉和三坐标测量机）数据进行3L拟合，获得用于逆向工程和计量的IP模型；利用IP方程建模三维物体的物理制造（CAM）；控制三坐标测量机的新方法，同时保持适当的刀尖方向；利用IP曲线混合来增强工业设计，包括IP曲线和表面可以缩放和塑造的各种方式，以产生简单和创新的设计；以及从二维边界信息中识别和重建三维物体。范围：美国PI在该领域很有名，他的实验室在该领域得到认可。这位土耳其科学家也在布朗大学获得博士学位，现在是土耳其最好的大学之一的教授。至少有两名，也可能是三名来自布朗大学的研究生将有机会参与这项国际合作。此外，来自博加济奇大学（Bogazici University）的研究生人数也将相当。双方拥有互补的设施，布朗大学在工程人机系统（LEMS）实验室提供了一流的设施，包括专门用于3D对象可视化实验的工作站，以及配备机械和激光扫描探头的最先进的变色龙坐标测量机（CMM）。Bogazici的工业工程部门正在使用由Ercil博士开发的优秀视觉设备，并与工业伙伴合作使用。该提案符合INT在互惠领域支持美国与外国合作的目标。

Description: This award is for support of a cooperative research by Dr. William Wolovich, Division of Engineering at Brown University and Dr. Aytul Ercil, Department of Industrial Engineering at Bogazici University in Istanbul, Turkey. They plan to extend and apply recent advances made in the US and Turkey on implicit polynomials (IP) technology in order to improve the ways manufactured objects are modeled, identified, measured, aligned, designed and fabricated. Specifically, they plan to apply and extend the new IP technologies, including conic-line factorizations and related-point ratios, 3L and PIM fitting algorithms, boundary curve blending procedures, and new scaling and shaping methods to a wide variety of manufactured objects. They will investigate: the use of IP models and their algebraic invariants for rapid and accurate object identification and alignment; 3L fitting of experimental (vision and CMM) data to obtain useful IP models for reverse engineering and metrology; physical fabrication (CAM) of 3D objects modeled using IP equations; new ways of controlling a CMM while maintaining proper tool tip orientations; use of IP curve blending to enhance industrial design, including the various ways that IP curves and surfaces can be scaled and shaped to produce simple and innovative designs; and identification and reconstruction of 3D objects from 2D boundary information. Scope: the U.S. PI is well known and his laboratory is recognized in this field. The Turkish scientist, who also received her doctorate at Brown, is a professor at one of Turkey's best universities. At least two, and possibly three, graduate students from Brown University will have opportunities to work in this international collaboration. They will be joined by a similar number of graduate students from Bogazici University. The two sides have complementary facilities, with Brown offering excellent facilities in the Laboratory for Engineering Man/Machine Systems (LEMS), including workstations dedicated to experiments in 3D object visualization, and a state-of-the-art Chameleon Coordinate Measuring Machine (CMM) with both mechanical and laser scanning probes. The Industrial Engineering Department at Bogazici is using excellent visual facilities that were developed by Dr. Ercil, and used in collaboration with industrial partners. This proposal meets INT objective of supporting US-foreign collaboration in areas of mutual benefit.