XMAP: Five-Point Interpolating Map

XMAP: Five-Point Interpolating Map

Xmap takes the unit square to a subset of a doubly curved surface. It interpolates five control-points, which are the images of the four corners and of the center of that square. Interactive tweaks of control-points produce unsurprising changes in the map. The Xmap is an extension of the BeCOTS map....

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Veröffentlicht in:Computer aided design 2022-01, Vol.142, p.103118, Article 103118
1. Verfasser: Rossignac, Jarek
Format: Artikel
Sprache:eng
Schlagworte:
Five-point map
Interactive control
Interpolating mapping
Lattice
Logarithmic spiral
Parametric surface-patch
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Zusammenfassung:Xmap takes the unit square to a subset of a doubly curved surface. It interpolates five control-points, which are the images of the four corners and of the center of that square. Interactive tweaks of control-points produce unsurprising changes in the map. The Xmap is an extension of the BeCOTS map. When the control-points are coplanar, it is an exact generalization of the COTS map. We conjecture that Xmaps may prove useful for designing aesthetically pleasing 3D structures.
ISSN:0010-4485
1879-2685
DOI:10.1016/j.cad.2021.103118