BEGIN:VCALENDAR VERSION:2.0 PRODID:Linklings LLC BEGIN:VTIMEZONE TZID:Australia/Melbourne X-LIC-LOCATION:Australia/Melbourne BEGIN:DAYLIGHT TZOFFSETFROM:+1000 TZOFFSETTO:+1100 TZNAME:AEDT DTSTART:19721003T020000 RRULE:FREQ=YEARLY;BYMONTH=4;BYDAY=1SU END:DAYLIGHT BEGIN:STANDARD DTSTART:19721003T020000 TZOFFSETFROM:+1100 TZOFFSETTO:+1000 TZNAME:AEST RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTAMP:20240214T070250Z LOCATION:Meeting Room C4.8\, Level 4 (Convention Centre) DTSTART;TZID=Australia/Melbourne:20231215T134500 DTEND;TZID=Australia/Melbourne:20231215T135500 UID:siggraphasia_SIGGRAPH Asia 2023_sess157_papers_819@linklings.com SUMMARY:Learning Gradient Fields for Scalable and Generalizable Irregular Packing DESCRIPTION:Technical Papers, TOG\n\nTianyang Xue (Shandong University), M ingdong Wu (Peking University), Lin Lu and Haoxuan Wang (Shandong Universi ty), and Hao Dong and Baoquan Chen (Peking University)\n\nThe packing prob lem, also known as cutting or nesting, has diverse applications in logisti cs, manufacturing, layout design, and atlas generation. It involves arrang ing irregularly shaped pieces to minimize waste while avoiding overlap. Re cent advances in machine learning, particularly reinforcement learning, ha ve shown promise in addressing the packing problem. In this work, we delve deeper into a novel machine learning-based approach that formulates the p acking problem as conditional generative modeling. To tackle the challenge s of irregular packing, including object validity constraints and collisio n avoidance, our method employs the score-based diffusion model to learn a series of gradient fields. These gradient fields encode the correlations between constraint satisfaction and the spatial relationships of polygons, learned from teacher examples. During the testing phase, packing solution s are generated using a coarse-to-fine refinement mechanism guided by the learned gradient fields. To enhance packing feasibility and optimality, we introduce two key architectural designs: multi-scale feature extraction a nd coarse-to-fine relation extraction. We conduct experiments on two typic al industrial packing domains, considering translations only. Empirically, our approach demonstrates spatial utilization rates comparable to, or eve n surpassing, those achieved by the teacher algorithm responsible for trai ning data generation. Additionally, it exhibits some level of generalizati on to shape variations. We are hopeful that this method could pave the way for new possibilities in solving the packing problem.\n\nRegistration Cat egory: Full Access\n\nSession Chair: Chi Wing Fu (The Chinese University o f Hong Kong) URL:https://asia.siggraph.org/2023/full-program?id=papers_819&sess=sess157 END:VEVENT END:VCALENDAR