#5596. XMAP: Five-Point Interpolating Map

August 2026publication date
Proposal available till 21-05-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Industrial and Manufacturing Engineering;
Computer Graphics and Computer-Aided Design;
Computer Science Applications;
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Abstract:
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.
Keywords:
Five-point map; Interpolating mapping; Lattice; Logarithmic spiral; Parametric surface-patch; Similarity

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