Density-equalizing maps for simply connected open surfaces

Autor:	Choi, GPT, Rycroft, CH
Rok vydání:	2018
Předmět:	math.DG math.NA surface remeshing diffusion cs.GR data visualization Artificial Intelligence & Image Processing density-equalizing map cartogram area-preserving parameterization cs.CG
Zdroj:	SIAM Journal on Imaging Sciences, vol 11, iss 2 Choi, GPT; & Rycroft, CH. (2018). Density-equalizing maps for simply connected open surfaces. SIAM Journal on Imaging Sciences, 11(2), 1134-1178. doi: 10.1137/17M1124796. Lawrence Berkeley National Laboratory: Retrieved from: http://www.escholarship.org/uc/item/4km3k0ss
DOI:	10.1137/17M1124796.
Popis:	© 2018 Society for Industrial and Applied Mathematics. And by SIAM. In this paper, we are concerned with the problem of creating flattening maps of simply connected open surfaces in ℝ3Using a natural principle of density diffusion in physics, we propose an effective algorithm for computing density-equalizing maps with any prescribed density distribution. By varying the initial density distribution, a large variety of flattening maps with different properties can be achieved. For instance, area-preserving parameterizations of simply connected open surfaces can be easily computed. Experimental results are presented to demonstrate the effectiveness of our proposed method. Applications to data visualization and surface remeshing are explored.
Databáze:	OpenAIRE
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