2015
DOI: 10.1016/j.cag.2014.09.010
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Error diffusion on meshes

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Cited by 5 publications
(4 citation statements)
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“…The general problem of finding space-filling curves or ropes (i.e., curves of finite thickness) on surfaces has been analyzed for simple geometries like the sphere [Gerlach and von der Mosel 2011], and investigated via manual design [Delp and Thurston 2011], but few computational algorithms are known. Existing methods are mainly targeted at tasks like error diffusion [Alexa and Kyprianidis 2015] or generating coherent memory layouts [Vo et al 2012;Isenburg and Lindstrom 2005], which do not require geometric regularity or even global continuity. Pedersen and Singh [2006] generate smooth space-filling curves via regularized Brownian motion, though it is not clear how to incorporate nonlocal terms (such as distortion) into such a framework.…”
Section: Texture Mappingmentioning
confidence: 99%
“…The general problem of finding space-filling curves or ropes (i.e., curves of finite thickness) on surfaces has been analyzed for simple geometries like the sphere [Gerlach and von der Mosel 2011], and investigated via manual design [Delp and Thurston 2011], but few computational algorithms are known. Existing methods are mainly targeted at tasks like error diffusion [Alexa and Kyprianidis 2015] or generating coherent memory layouts [Vo et al 2012;Isenburg and Lindstrom 2005], which do not require geometric regularity or even global continuity. Pedersen and Singh [2006] generate smooth space-filling curves via regularized Brownian motion, though it is not clear how to incorporate nonlocal terms (such as distortion) into such a framework.…”
Section: Texture Mappingmentioning
confidence: 99%
“…This issue can be mitigated by applying either error diffusion [AK15], or by building a hierarchical Laplacian forming a suspension structure and providing a better rigidity to the reconstruction [LV14]. Although both of these approaches do improve the performance of high‐pass encoding, parallelogram based approaches still provide considerably better results.…”
Section: Related Workmentioning
confidence: 99%
“…Results obtained for various static meshes. HPC stands for High-pass coding[SCOT03], Diffusion stands for Error diffusion in meshes[AK15] and WP stands for weighted parallelogram coding[VB13] RD curve for the Samba model using perceptual error measure.cian built from an average mesh that is encoded using Kirchhoff Laplacian, • Diffusion Cotan Laplacian based scheme, i.e. using a geometric Laplacian built from an average mesh that is encoded using Kirchhoff Laplacian, together with error diffusion, • Proposed Cotan Laplacian based scheme, i.e.…”
mentioning
confidence: 99%
“…Alexa and Kyprianidis addressed error diffusion on a surface in Ref. [8], where they analyzed different path orders to better distribute the error. Brunton et al proposed an error-diffusion halftoning algorithm to produce full color with multi-jet 3D printer [9].…”
Section: Introductionmentioning
confidence: 99%