Multi-Class Anisotropic Electrostatic Halftoning

Electrostatic halftoning, a sampling algorithm based on electrostatic principles, is among the leading methods for stippling, dithering and sampling. However, this approach is only applicable for a single class of dots with a uniform size and colour. In our work, we complement these ideas by advance...

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Vydáno v:	Computer graphics forum Ročník 31; číslo 6; s. 1924 - 1935
Hlavní autoři:	Schmaltz, C., Gwosdek, P., Weickert, J.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Oxford, UK Blackwell Publishing Ltd 01.09.2012
Témata:	Algorithms Analysis Anisotropy Computer graphics Electrostatics halftoning hatching I.3.3 [Computer Graphics]: Picture/Image Generation-Display Algorithms I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Physically Based Modelling I.3.8 [Computer Graphics]: Applications-Dithering and Stippling Image processing systems multi-class multi-size second-order screening stippling Studies
ISSN:	0167-7055, 1467-8659
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Abstract	Electrostatic halftoning, a sampling algorithm based on electrostatic principles, is among the leading methods for stippling, dithering and sampling. However, this approach is only applicable for a single class of dots with a uniform size and colour. In our work, we complement these ideas by advanced features for real‐world applications. We propose a versatile framework for colour halftoning, hatching and multi‐class importance sampling with individual weights. Our novel approach is the first method that globally optimizes the distribution of different objects in varying sizes relative to multiple given density functions. The quality, versatility and adaptability of our approach is demonstrated in various experiments. Electrostatic halftoning, a sampling algorithm based on electrostatic principles, is among the leading methods for stippling, dithering and sampling. However, this approach is only applicable for a single class of dots with a uniform size and colour. In our work, we complement these ideas by advanced features for real‐world applications. We propose a versatile framework for colour halftoning, hatching and multi‐class importance sampling with individual weights. Our novel approach is the first method that globally optimizes the distribution of different objects in varying sizes relative to multiple given density functions. The quality, versatility and adaptability of our approach is demonstrated in various experiments.
AbstractList	Electrostatic halftoning, a sampling algorithm based on electrostatic principles, is among the leading methods for stippling, dithering and sampling. However, this approach is only applicable for a single class of dots with a uniform size and colour. In our work, we complement these ideas by advanced features for real-world applications. We propose a versatile framework for colour halftoning, hatching and multi-class importance sampling with individual weights. Our novel approach is the first method that globally optimizes the distribution of different objects in varying sizes relative to multiple given density functions. The quality, versatility and adaptability of our approach is demonstrated in various experiments. [PUBLICATION ABSTRACT] Electrostatic halftoning, a sampling algorithm based on electrostatic principles, is among the leading methods for stippling, dithering and sampling. However, this approach is only applicable for a single class of dots with a uniform size and colour. In our work, we complement these ideas by advanced features for real‐world applications. We propose a versatile framework for colour halftoning, hatching and multi‐class importance sampling with individual weights. Our novel approach is the first method that globally optimizes the distribution of different objects in varying sizes relative to multiple given density functions. The quality, versatility and adaptability of our approach is demonstrated in various experiments. Electrostatic halftoning, a sampling algorithm based on electrostatic principles, is among the leading methods for stippling, dithering and sampling. However, this approach is only applicable for a single class of dots with a uniform size and colour. In our work, we complement these ideas by advanced features for real‐world applications. We propose a versatile framework for colour halftoning, hatching and multi‐class importance sampling with individual weights. Our novel approach is the first method that globally optimizes the distribution of different objects in varying sizes relative to multiple given density functions. The quality, versatility and adaptability of our approach is demonstrated in various experiments. Electrostatic halftoning, a sampling algorithm based on electrostatic principles, is among the leading methods for stippling, dithering and sampling. However, this approach is only applicable for a single class of dots with a uniform size and colour. In our work, we complement these ideas by advanced features for real‐world applications. We propose a versatile framework for colour halftoning, hatching and multi‐class importance sampling with individual weights. Our novel approach is the first method that globally optimizes the distribution of different objects in varying sizes relative to multiple given density functions. The quality, versatility and adaptability of our approach is demonstrated in various experiments.
Author	Gwosdek, P. Schmaltz, C. Weickert, J.
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References_xml	– reference: Wei L.: Multi-class blue noise sampling. ACM Transactions on Graphics 29 , 4 (2010), 79:1-79:8. – reference: Cook R. L.: Stochastic sampling in computer graphics. ACM Transactions on Graphics 5 , 1 (1986), 51-72. – reference: Halton J. H.: On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals. Numerische Mathematik 2 , 1 (1960), 84-90. – reference: Li H., Nehab D., Wei L.-Y., Sander P. V., Fu C.-W.: Fast Capacity Constrained Voronoi Tessellation . Tech. Rep. MSR-TR-2009-174, Microsoft Research, 2009. – reference: Pnueli Y., Bruckstein A. M.: Digidürer-A digital engraving system. The Visual Computer 10 , 5 (1994), 277-292. – reference: Lagae A., Dutré P.: A comparison of methods for generating poisson disk distributions. Computer Graphics Forum 27 , 1 (March 2008), 114-129. – reference: Hiller S., Hellwig H., Deussen O.: Beyond stippling-Methods for distributing objects on the plane. Computer Graphics Forum 22 , 3 (2003), 515-522. – reference: Kopf J., Cohen-Or D., Deussen O., Lischinski D.: Recursive Wang tiles for real-time blue noise. ACM Transactions on Graphics 25 , 3 (2006), 509-518. – reference: Ostromoukhov V., Donohue C., Jodoin P.-M.: Fast hierarchical importance sampling with blue noise properties. ACM Transactions on Graphics 23 , 3 (2004), 288-495. – reference: Teuber T., Steidl G., Gwosdek P., Schmaltz C., Weickert J.: Dithering by differences of convex functions. SIAM Journal on Imaging Sciences 4 , 1 (2011), 79-108. – reference: Wang H.: Proving theorems by pattern recognition II. Bell Systems Technical Journal 40 (1961), 1-42. – reference: NVidia Corporation: NVidia CUDA Programming Guide , 4th ed., Mar. 2011. http://developer.download.nvidia.com/compute/cuda/4_0_rc2/toolkit/docs/CUDA_C_Programming_Guide.pdf. Accessed June 11, 2011. – reference: Balzer M., Schlömer T., Deussen O.: Capacity-constrained point distributions: A variant of Lloyd's method. ACM Transactions on Graphics 28 , 3 (2009), 86:1-8. – reference: Schmaltz C., Gwosdek P., Bruhn A., Weickert J.: Electrostatic halftoning. Computer Graphics Forum 29 , 8 (December 2010), 2313-2327. – reference: Bowers J., Wang R., Wei L.-Y., Maletz D.: Parallel poisson disk sampling with spectrum analysis on surfaces. ACM Transactions on Graphics 29 , 6 (2010), 166:1-166:10. (SIGGRAPH Asia.) – reference: Zander J., Isenberg T., Schlechtweg S., Strothotte T.: High quality hatching. Computer Graphics Forum 23 , 3 (2004), 421-420. – reference: Kipphan H.: Handbook of Print Media: Technologies and Production Methods . Springer, Berlin , Germany , 2001. – reference: Pharr M., Humphreys G.: Physically Based Rendering-From Theory to Implementation . 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Snippet	Electrostatic halftoning, a sampling algorithm based on electrostatic principles, is among the leading methods for stippling, dithering and sampling. However,...
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SubjectTerms	Algorithms Analysis Anisotropy Computer graphics Electrostatics halftoning hatching I.3.3 [Computer Graphics]: Picture/Image Generation-Display Algorithms I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Physically Based Modelling I.3.8 [Computer Graphics]: Applications-Dithering and Stippling Image processing systems multi-class multi-size second-order screening stippling Studies
Title	Multi-Class Anisotropic Electrostatic Halftoning
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Volume	31
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