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Ink Diffusion Modeling Method Based on Lattice Random Walk

A technology of diffusion model and modeling method, which is applied in special data processing applications, instruments, electrical digital data processing, etc., can solve the problems of poor real-time performance, achieve the effects of improving efficiency, improving real-time performance, and solving the difficult problem of dry pen effect

Active Publication Date: 2016-05-04
XIAN ANMENG INTELLIGENT TECH CO LTD
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Problems solved by technology

[0004] In order to overcome the shortcomings of poor real-time performance of existing ink diffusion model modeling methods, the present invention provides a method for modeling ink diffusion models based on LatticeRandomWalk

Method used

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  • Ink Diffusion Modeling Method Based on Lattice Random Walk
  • Ink Diffusion Modeling Method Based on Lattice Random Walk
  • Ink Diffusion Modeling Method Based on Lattice Random Walk

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Embodiment Construction

[0028] refer to figure 1 . The ink diffusion model modeling method based on LatticeRandomWalk of the present invention specifically comprises the following steps:

[0029] 1. Establish the LatticeRandomWalk ink diffusion equation.

[0030] The ink diffusion conforms to the conditions of isotropic regular diffusion, that is, it diffuses to the periphery at a uniform speed with equal step size and random direction. Regular Diffusion Isotropic RandomWalk The final position of its set of random variables is determined by the diffusion equation.

[0031] The limit distribution of d-dimensional space isotropic RandomWalk tends to Gaussian distribution after a long walk step, and its probability distribution function is:

[0032] P N ( R d ) ~ e - dR ...

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Abstract

The invention discloses an ink diffusion model building method based on Lattice Random Walk. The method is used for solving the technical problem that an existing ink diffusion model building method is poor in real-time performance. According to the technical scheme, the Random Walk theory used for liquid or gas molecule movement track study is applied to ink diffusion model building, and a Lattice Random Walk diffusion equation used for ink diffusion model building is built through the classic Lattice Random Walk diffusion equation; two main constraint conditions of the Lattice Random Walk diffusion equation, the diffusion range R and the diffusion step number N are determined according to actual physical properties of ink when the ink diffuses on paper, and ink diffusion model building for paper with different diffusion properties is achieved. Due to the fact that the Lattice Random Walk algorithm is easy to realize and can be parallel, real-time performance of ink diffusion model building is improved.

Description

technical field [0001] The invention relates to an ink diffusion model modeling method, in particular to an ink diffusion model modeling method based on LatticeRandomWalk. Background technique [0002] Document 1 "Q.Guo, ANDT.L.Kunii, Modelingthediffusepaintingofsumie, IFIPModelinginComputerGraphics, 1991, 329-338." discloses a modeling method based on the ink diffusion effect of oriental brush ink painting. The model assumes that the toner in the ink is composed of toner particles of different sizes, and the diffusion of the ink on the paper is modeled by a one-dimensional filter. In 2001, Kunii et al. used partial differential equations (partialdifferentialequations) to improve the original method. The improved method uses Fick's theorem to describe the phenomenon of ink diffusion, but its main disadvantage is that the algorithm is complex and difficult to realize in real time. [0003] Document 2 "N.S.H.Chu, and C.L.Tai, MoXi: Real-Time InkDispersion in Absorbent Paper,...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F19/00
Inventor 白本督张艳宁李映范九伦
Owner XIAN ANMENG INTELLIGENT TECH CO LTD
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