Workshop for Women in Shape Analysis

这笔资金将用于资助美国女性参加于2016年6月5日至12日在土耳其伊斯坦布尔Nesin数学村举行的女性形状分析研讨会（WiShT）。该研讨会旨在通过汇集来自世界各地的处于职业生涯不同阶段（从研究生到高级研究员）的女性研究人员来加强形状建模社区，以促进研究合作和指导。因为形状建模本质上是跨学科的，从数学、计算机科学和生物技术中汲取知识，合作尤为重要。此外，由于没有一个国家有许多妇女从事形状建模工作，国际合作对于形成强大的女性研究人员网络至关重要。在土耳其举办讲习班反映了一项有意识的努力，使中东和非洲妇女更容易参加讲习班。参与者将花一个星期的时间在小组中一起解决形状建模中选择的开放问题之一。WiShT的参与者将开始与其他参与者合作产生新的结果，而不是更典型的研讨会结构，即参与者观看既定结果的演示。讲习班结束后，将通过出版论文集、建立网站和名单服务、组织后续会议和与会者聚会等方式维持和加强研究网络。指导和专业发展将在正式和非正式的情况下发生。有关研讨会的更多信息，请参阅http://nesinkoyleri.org/eng/events/2016-wis2/index.phpShape分析是许多应用领域的关键组成部分，包括图像识别、医学成像、生物医学工程、图形学和计算机动画。研讨会将由经验丰富的研究人员领导小组解决形状建模和分析中三个非常不同的具有挑战性的问题，广泛的参与者将允许一个跨学科的学者团队在每个领域取得实质性进展。第一组将探索形状复杂性的许多可能的定义，并将研究它们之间的关系，以期推导出形状复杂性的总体数学理论，并了解每种复杂性概念何时最合适。第二组将专注于基于形状的分割模型的组合优化，包括离散的和连续的。每个模型都面临挑战：连续模型可能不会收敛到最优解，或者可能会慢得多，而在离散设置中，整合形状信息或具有特定预定义先验的目标结构是相当具有挑战性的。第二组将通过探索变分公式到离散域的映射来结合这些方法，并解决与优化所得离散模型相关的挑战。第三组将专注于二维和三维的卷积骨架。目标是开发一种方法，将输入形状和相关的卷积骨架转换为新的骨架，该骨架具有鲁棒性，紧凑性和可重复性，并提供原始形状的平滑参数化。每个小组的结果将发表在AWM-Springer卷中，并通过会议和期刊出版物传播。

This grant supports travel for US women to the Workshop for Women in Shape Analysis (WiShT), to be held at the Nesin Mathematics Village in Istanbul, Turkey, in the week June 5-12, 2016. The workshop is designed to strengthen the shape modeling community by bringing together women researchers at various stages in their careers (from graduate student to senior researcher) and from across the world, to foster research collaboration and mentorship. Because shape modeling is interdisciplinary in nature, drawing from mathematics, computer science, and biotechnology, collaborations are especially crucial. Furthermore, since no single country has many women working in shape modeling, international collaborations are essential to forming robust networks of women researchers. Hosting the workshop in Turkey reflects a conscious effort to make the workshop more accessible for women from the Middle East and Africa. Participants will spend one week working together in small groups to solve one of a selection of open questions in shape modeling. Instead of the more typical workshop structure where participants watch presentations of established results, WiShT participants will begin generating new results in collaboration with other participants. Following the workshop, the research network will be maintained and strengthened by publishing a proceedings volume, establishing a website and listserv, and organizing follow-up conferences and reunions for participants. Mentoring and professional development will happen both formally and informally. For more information about the workshop see http://nesinkoyleri.org/eng/events/2016-wis2/index.phpShape analysis is a critical component in many applications areas, including image recognition, medical imaging, biomedical engineering, graphics, and computer animation. The workshop will tackle three very different challenging problems in shape modeling and analysis in groups led by experienced researchers, and the broad range of participants will allow an interdisciplinary team of scholars to make substantial progress in each area. Group 1 will explore the many possible definitions of shape complexity and will study the relationships between them in the hope of deriving an overarching mathematical theory of shape complexity and an understanding of when each notion of complexity is most appropriate. The second group will focus on combinatorial optimization for shape-based segmentation models, both discrete and continuous. Each model presents challenges: continuous models may not converge to optimal solutions or may be much slower, while in the discrete setting, integrating shape information or targeting structures with a particular predefined prior is quite challenging. Group 2 will combine these approaches by exploring the mapping of variational formulations to the discrete domain and tackle the challenges associated with optimizing the resultant discrete models. Group 3 will focus on convolution skeletons in both two and three-dimensions. The goal is to develop a method to transform an input shape and associated convolution skeleton into a new skeleton that is robust, compact, and reproducible that gives a smooth parameterization of the original shape. Results from each group will be published in an AWM-Springer volume, as well as disseminated via conference and journal publications.