.png){kind=icon}
Return
Bounded Distortion Mapping Spaces for Triangular Meshes
.png){kind=icon}
PRE
AI
DOI：10.1145/2185520.2185604.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
The problem of mapping triangular meshes into the plane is fundamental in geometric modeling, where planar deformations and surface parameterizations are two prominent examples. Current methods for triangular mesh mappings cannot, in general, control the worst case distortion of all triangles nor guarantee injectivity. This paper introduces a constructive definition of generic convex spaces of piecewise linear mappings with guarantees on the maximal conformal distortion, as-well as local and global injectivity of their maps. It is shown how common geometric processing objective functionals can be restricted to these new spaces, rather than to the entire space of piecewise linear mappings, to provide a bounded distortion version of popular algorithms.
Keywords:
triangular meshes
bounded distortion
conformal distortion
quasi-conformal
bijective mapping
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
9.5
Papers:
4.7K
Citations:
3.6W
Organization
No organization information available
Cited Papers
Treatment, prognostic markers and survival in thymic neuroendocrine tumours. A study from a single tertiary referral centre.png)
Lung Cancer
Lung CancerIF0
PREAI
ShareSave
ShareSaveShareSave
View more