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XMAP: Five-Point Interpolating Map
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DOI：10.1016/j.cad.2021.103118.png)
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Abstract
En 中文
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. (C) 2021 Elsevier Ltd. All rights reserved.
Keywords:
Interpolating mapping
Parametric surface-patch
Similarity
Logarithmic spiral
Five-point map
Lattice
Journal
C
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3.1
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3.1K
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