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DTSTAMP:20260114T163645Z
LOCATION:Meeting Room C4.8\, Level 4 (Convention Centre)
DTSTART;TZID=Australia/Melbourne:20231215T151500
DTEND;TZID=Australia/Melbourne:20231215T152500
UID:siggraphasia_SIGGRAPH Asia 2023_sess171_papers_534@linklings.com
SUMMARY:A Hessian-Based Field Deformer for Real-Time Topology-Aware Shape 
 Editing
DESCRIPTION:Yunxiao Zhang, Zixiong Wang, Zihan Zhao, and Rui Xu (Shandong 
 University); Shuangmin Chen (Qingdao University of Science and Technology)
 ; Shiqing Xin (Shandong University); Wenping Wang (Texas A&M University); 
 and Changhe Tu (Shandong University)\n\nShape manipulation is a central re
 search topic in computer graphics. Topology editing, such as breaking apar
 t connections, joining disconnected ends, and filling/opening a topologica
 l hole, is generally more challenging than geometry editing. In this paper
 , we observe that the saddle points of the signed distance function (SDF) 
 provide useful hints for altering surface topology deliberately. Based on 
 this key observation, we parameterize the SDF into a cubic trivariate tens
 or-product B-spline function 𝐹 whose saddle points s_i can be quickly exha
 usted based on a subdivision-based root-finding technique coupled with New
 ton’s method. Users can select one of the candidate points, say s_i, to ed
 it the topology in real time. In implementation, we add a compactly suppor
 ted B-spline function rooted at s_i, which we call a deformer in this pape
 r, to F, with its local coordinate system aligning with the three eigenvec
 tors of the Hessian. Combined with ray marching technique, our interactive
  system operates at 30 FPS. Additionally, our system empowers users to cre
 ate desired bulges or concavities on the surface. An extensive user study 
 indicates that our system is user-friendly and intuitive to operate. We de
 monstrate the effectiveness and usefulness of our system in a range of app
 lications, including fixing surface reconstruction errors, artistic work d
 esign, 3D medical imaging and simulation, and antiquity restoration. Pleas
 e refer to the attached video for a demonstration.\n\nRegistration Categor
 y: Full Access\n\nSession Chair: Qixing Huang (University of Texas Austin)
 \n\n
URL:https://asia.siggraph.org/2023/full-program?id=papers_534&sess=sess171
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