SCIENTIA SINICA Informationis, Volume 49 , Issue 2 : 159-171(2019) https://doi.org/10.1360/N112018-00212

Simulation of batik cracks and cloth dying

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  • ReceivedAug 5, 2018
  • AcceptedSep 25, 2018
  • PublishedFeb 18, 2019


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  • Figure 1

    (Color online) Batik and it's visual characteristics. (a) Dai girl of batik in Yunnan; (b) visual characteristics of batik cracks; (c) visual characteristics of batik cloth

  • Figure 2

    (Color online) Generation flow of batik cracks

  • Figure 3

    (Color onine) Influence of new crack on distance

  • Figure 4

    (Color online) Method of getting next point and crack result. (a) Method of getting next point; (b) initial batik cracks; (c) cracks after treatment

  • Figure 5

    (Color online) Reason of too wide about crack line. (a) Normal line; (b) defective line

  • Figure 6

    (Color online) Influence of parameters to cracks. (a) Parameter of density; (b) reference width; (c) parameter of wiggle

  • Figure 7

    (Color online) Relationship of plr value and intersection. (a) plr = 0.1; (b) plr = 1; (c) plr = 1.3

  • Figure 8

    (Color online) Batik cloth model. (a) Three-layer model of cloth; (b) warp and weft; (c) overlapping of warp and weft

  • Figure 9

    (Color online) Adjacency coefficient

  • Figure 10

    (Color online) Rectangular weave and its simulation. (a) Magnifying cloth; (b) ellipse model of cloth

  • Figure 11

    (Color online) Execution time comparison of two algorithms. (a) Curve of FIT; (b) time complexity comparison

  • Figure 12

    (Color online) Two results of batik cracks rendering. (a) Simulating pattern of bowl; (b) simulating pattern of rooster

  • Figure 13

    (Color online) Different dyeing results of same pattern

  • Figure 14

    (Color online) Influence of wave length and persistance on dyeing. (a) Wavelength is 8; (b) wavelength is 64; (c) persistence is 0.2; (d) persistence is 0.8

  • Figure 15

    (Color online) Comparison of dyeing results. (a) Simulation of tie dye in Japan; (b) our result


    Algorithm 1 Flood identity transform (FIT)

    Initialize, age of the newest crack $c$ is recorded as $\lambda~(c)$, and all points in $c$ are pushed into FIFO queue qu.


    Dequeue $p$, $p~=~{\rm~pop}(~{\rm~qu}~)$;

    for each $n~\in~N(p)$

    if $D(p)~+~|~{n~-~p}~|~<~D(n)$ then

    $D(n)~=~D(p)~+~|~{n~-~p}~|$; $\backslash\backslash$$N(p)$ is the adjacent point of $p$


    enqueue $n$;

    end if

    end for

    until queue qu is null;



    Algorithm 2 Cracks generate (CG)

    Initial point is generated with parameter of $\rho~(p)$ and using random method. From initial point, the seed point which has maximum local distance is searched;

    From seed point, crack is generated follow gradient and opposite direction, and generating is stopped when meets one old crack;

    Shape is modified and parameters are recorded, and noises are added with parameter of $w(p)$.


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