BEGIN:VCALENDAR VERSION:2.0 PRODID:Linklings LLC BEGIN:VTIMEZONE TZID:Asia/Tokyo X-LIC-LOCATION:Asia/Tokyo BEGIN:STANDARD TZOFFSETFROM:+0900 TZOFFSETTO:+0900 TZNAME:JST DTSTART:18871231T000000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20250110T023312Z LOCATION:Hall B7 (1)\, B Block\, Level 7 DTSTART;TZID=Asia/Tokyo:20241204T170500 DTEND;TZID=Asia/Tokyo:20241204T171600 UID:siggraphasia_SIGGRAPH Asia 2024_sess123_papers_1180@linklings.com SUMMARY:Polar Interpolants for Thin-Shell Microstructure Homogenization DESCRIPTION:Technical Papers\n\nAntoine Chan-Lock (Universidad Rey Juan Ca rlos) and Miguel A. Otaduy (Universidad Rey Juan Carlos, Facebook Reality Labs)\n\nThis paper introduces a new formulation for material homogenizati on of thin-shell microstructures. It addresses important challenges that l imit the quality of previous approaches: methods that fit the energy respo nse neglect visual impact, methods that fit the stress response are not co nservative, and all of them are limited to a low-dimensional interplay bet ween deformation modes. The new formulation is rooted on the following des ign principles: the material energy functions are conservative by definiti on, they are formulated on the high-dimensional membrane and bending domai n to capture the complex interplay of the different deformation modes, the material function domain is maximally aligned with the training data, and the material parameters and the optimization are formulated on stress ins tead of energy for better correlation with visual impact. The key novelty of our formulation is a new type of high-order RBF interpolant for polar c oordinates, which allows us to fulfill all the design principles. We desig n a material function using this novel interpolant, as well as an overall homogenization workflow. Our results demonstrate very accurate fitting of diverse microstructure behaviors, both quantitatively and qualitatively su perior to previous work.\n\nRegistration Category: Full Access, Full Acces s Supporter\n\nLanguage Format: English Language\n\nSession Chair: Huamin Wang (Style3D Research) URL:https://asia.siggraph.org/2024/program/?id=papers_1180&sess=sess123 END:VEVENT END:VCALENDAR