Geometry Processing

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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.