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

描述：该奖项是为了支持由布朗大学工程系的William Wolovich博士和土耳其伊斯坦布尔的Bogazici大学工业工程系的Aytul Ercel博士的合作研究。他们计划推广和应用美国和土耳其在隐式多项式(IP)技术方面的最新进展，以改进制造对象的建模、识别、测量、对齐、设计和制造的方式。具体地说，他们计划将新的IP技术应用和扩展到各种制造对象，包括圆锥线分解和相关点比率、3L和PIM拟合算法、边界曲线混合程序以及新的缩放和成形方法。他们将研究：利用IP模型及其代数不变量进行快速准确的物体识别和对齐；实验(视觉和CMM)数据的3L拟合，以获得用于逆向工程和计量的有用IP模型；使用IP方程建模的3D对象的物理制造(CAM)；在保持适当刀尖方向的同时控制CMM的新方法；利用IP曲线混合来改进工业设计，包括可缩放IP曲线和曲面的各种方法，以产生简单而创新的设计；以及根据2D边界信息识别和重建3D对象。范围：美国的PI是众所周知的，他的实验室在该领域是公认的。这位土耳其科学家也在布朗大学获得了博士学位，她是土耳其最好的大学之一的教授。布朗大学至少有两名，甚至可能三名研究生将有机会参与这一国际合作。博加齐奇大学的研究生也将加入他们的行列。双方拥有互补的设施，Brown在工程人机系统实验室(LEMS)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，以及具有机械和激光扫描探头的最先进的变色龙坐标测量机(CMM)。Bogazici的工业工程系使用的是埃尔西博士开发的优秀视觉设备，并与工业合作伙伴合作使用。这一建议符合支持美国与外国在互利领域进行合作的国际目标。

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.