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:20240214T070247Z LOCATION:Meeting Room C4.8\, Level 4 (Convention Centre) DTSTART;TZID=Australia/Melbourne:20231214T121500 DTEND;TZID=Australia/Melbourne:20231214T123000 UID:siggraphasia_SIGGRAPH Asia 2023_sess150_papers_491@linklings.com SUMMARY:GeoLatent: A Geometric Approach to Latent Space Design for Deforma ble Shape Generators DESCRIPTION:Technical Papers\n\nHaitao Yang, Bo Sun, Liyan Chen, Amy Pavel , and Qixing Huang (University of Texas at Austin)\n\nWe study how to opti mize the latent space of neural shape generators that map latent codes to 3D deformable shapes. The key focus is to look at a deformable shape gener ator from a differential geometry perspective. We define a Riemannian metr ic based on as-rigid-as-possible and as-conformal-as-possible deformation energies. Under this metric, we study two desired properties of the latent space: 1) straight-line interpolations in latent codes follow geodesic cu rves; 2) latent codes disentanglement pose and shape variations at differe nt scales. Strictly enforcing the geometric interpolation property, howeve r, only applies if the metric matrix is a constant. We show how to achieve this property approximately by enforcing that geodesic extrapolations are axis-aligned, i.e., extrapolations along coordinate axis follow geodesic curves. In addition, we introduce a novel approach that decouples pose and shape variations via generalized eigendecomposition. We also study effici ent regularization terms for learning deformable shape generators, e.g., t hat promote smooth interpolations. Experimental results on benchmark datas ets show that our approach leads to interpretable latent codes, improves t he generalizability of synthetic shapes, and enhances performance in geode sic interpolation, geodesic shooting, and parallel translation application s.\n\nRegistration Category: Full Access\n\nSession Chair: Peng-Shuai Wang (Peking University) URL:https://asia.siggraph.org/2023/full-program?id=papers_491&sess=sess150 END:VEVENT END:VCALENDAR