Geometry Processing

用于设计数字3D形状的工具拥有复杂的功能并产生奇妙的工件。不幸的是，这些工具只为一小部分人所享受，他们不仅拥有创造性的灵感，而且还拥有深奥的技术技能。这项建议将追求一种新的方法，三维数字表达沿着三个互补的轨道：可靠和可访问：1。三维几何物理模拟; 2.与底层数据结构解耦的几何建模; 3.用户界面，用于几何数据的方向操作。大自然轻松创建丰富的三维运动和复杂的几何形状。现有的计算方法要么专注于精确再现所观察到的行为，要么依赖于仔细设置大量的非直观参数。相反，拟议的研究将探讨如何艺术和表达控制物理模拟与少量的用户友好的参数。这种改进的计算现实的影响跨越了沉浸式远程体验，包括教育和计算制造，包括通过先进的制造技术进行消费者定制。现有的数字3D建模工具正在努力摆脱低级的技术用户界面。这些工具由于坚持特定的、经典的表面表示而受到束缚。拟议的研究将通过重新构想3D几何建模来“越野”，直接针对故意非标准形状表示的高级用户交互，并最终针对其表示可能在交互期间根据上下文或可用资源而变化的形状。这项工作既依赖于也有助于我们在3D几何背景下对人工智能深度学习技术的理解。计算机辅助设计成功地改变了我们周围的物体，我们居住的建筑物和我们喜欢的数字图像。然而，这种极其实用的动机导致了少数人所遭受的狭窄的数字设计工作流程。大多数3D建模工具都是出了名的困难，被视为达到目的的手段。在这个提议中，我们考虑的是数字3D设计工作流程的内在价值，而不是创造的工件。我们的假设是，通过研究和增加3D创作行为的价值，我们将把数字3D设计转化为广泛的3D表达，每个人都能享受。

Tools for designing digital 3D shapes boast sophisticated functionality and produce marvelous artifacts. Unfortunately, these tools are enjoyed by the small fraction of the population who possess not just creative inspiration but also esoteric technical skills. This proposal will pursue a novel approach to 3D digital expression along three complementary tracks:Reliable and accessible:1. physical simulation of 3D geometry,2. geometric modeling decoupled from underlying data structures, and3. user interfaces for direction manipulation of geometric data.Nature effortless creates rich three-dimensional motion and complex geometric forms. Existing computational methods either focus on accurate reproduction of observed behaviors or rely on carefully setting a large number of unintuitive parameters. Instead, the proposed research will investigate how to artistically and expressively control physical simulations with a small number of user-friendly parameters. The impact of this improved computational reality span immersive tele-experiences including education and computational fabrication including consumer customization via advanced manufacturing techniques.Existing digital 3D modeling tools struggle to break away from low-level, technical user-interfaces. These tools have been hamstrung by their insistence on particular, classic surface representations. The proposed research will go "off road" by reimagining 3D geometric modeling by directly targeting high-level user interactions on deliberately non-standard shape representations and ultimately on shapes whose representation may change during the interaction depending on context or available resources. This work both depends on and contributes to our state of understanding of deep learning techniques from artificial intelligence in the context of 3D geometry.Computer aided-design has successfully transformed the objects around us, the buildings we inhabit, and the digital images we enjoy. However, this extremely practical motivation has led to narrow digital design workflows suffered by a minority of the population. Most 3D modeling tools are notoriously difficult and seen as a means-to-an-end. In this proposal, we consider the intrinsic value in digital 3D design workflow as opposed to created artifacts. Our hypothesis is that by studying and increasing the value of the act of 3D creation we will transform digital 3D design into widespread 3D expression, enjoyed by everyone.