Creation of Detailed Virtual Shapes: Foundations and Tools

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We live in a three-dimensional world where the shape, or geometry, of objects is one of their major characteristics. Consequently, computer applications that deal with real-life objects, such as computer graphics, engineering, or medical visualization, require tools to create and process 3D shapes. As the use of 3D data becomes increasingly ubiquitous, users in a variety of industries are becoming more interested in being able to create new personalized complex 3D content; however the geometry processing methods for creation of such content are lagging behind.The general objective of my research is to provide users the tools necessary to perform these tasks as easily and efficiently as possible by developing the underlying fundamental geometry analysis and processing technologies. Motivated by the increased user interest in content creation, in the framework of this discovery grant, I will focus on developing tools for constructing detailed believable virtual shapes and address the fundamental shape processing problems that arise in this context. Due to the diversity of the shapes around us generic shape creation methods are limited in their applicability as they can make very few assumptions about the expected output shapes. My work will therefore explore a more targeted approach, developing a number of content creation mechanisms for specific classed of shapes, utilizing appropriate domain knowledge and other priors to facilitate the process. I will also investigate the commonalities between the different domains leading to formulation and solution of new fundamental geometry analysis and processing problems, solving which will benefit content creation in general.