期刊
ACM TRANSACTIONS ON GRAPHICS
卷 37, 期 4, 页码 -出版社
ASSOC COMPUTING MACHINERY
DOI: 10.1145/3197517.3201303
关键词
developable surface modeling; discrete differential geometry; digital geometry processing
资金
- NSF [1717320 1409286, 1717268, 1319483]
- Direct For Computer & Info Scie & Enginr
- Division of Computing and Communication Foundations [1717268] Funding Source: National Science Foundation
- Direct For Computer & Info Scie & Enginr
- Div Of Information & Intelligent Systems [1319483] Funding Source: National Science Foundation
Developable surfaces are those that can be made by smoothly bending flat pieces without stretching or shearing. We introduce a definition of developability for triangle meshes which exactly captures two key properties of smooth developable surfaces, namely flattenability and presence of straight ruling lines. This definition provides a starting point for algorithms in developable surface modeling-we consider a variational approach that drives a given mesh toward developable pieces separated by regular seam curves. Computation amounts to gradient descent on an energy with support in the vertex star, without the need to explicitly cluster patches or identify seams. We briefly explore applications to developable design and manufacturing.
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