Digital halftoning
Digital halftones by dot diffusion
ACM Transactions on Graphics (TOG)
Journal of Computational Physics
Digital Color Halftoning
Anticorrelation digital halftoning
Anticorrelation digital halftoning
Matrix Rounding under the Lp-Discrepancy Measure and Its Application to Digital Halftoning
SIAM Journal on Computing
Modern Digital Halftoning, Second Edition
Modern Digital Halftoning, Second Edition
New Approaches to Circle Packing in a Square: With Program Codes (Springer Optimization and Its Applications)
Design of farthest-point masks for image halftoning
EURASIP Journal on Applied Signal Processing
Optimized halftoning using dot diffusion and methods for inverse halftoning
IEEE Transactions on Image Processing
Look-up-table based halftoning algorithm
IEEE Transactions on Image Processing
Impact of HVS models on model-based halftoning
IEEE Transactions on Image Processing
Blue-noise halftoning for hexagonal grids
IEEE Transactions on Image Processing
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As a core component of dispersed-dot halftoning, this paper focuses on the definition of new measures for giving or measuring good point distributions in a plane. By defining good point distributions from a purely geometric viewpoint of circle packing, it is shown that the energy defined by a certain strong convex function satisfies the necessary conditions for obtaining good point distributions in any point density by minimizing the energy. The energy with such the conditions are mathematically plain and there are no obscure parameters. The theory is also significantly motivated by a requirement of the adjustability to discrete spaces, and it is shown that the conditions actually work well also in the spaces. As an application, by using technically simple methods, dispersed-dot halftone masks are designed and goodness of point distributions of masks are estimated.