The Development of A New Adaptive Slicing Algorithm for Layered ...

33 downloads 11683 Views 376KB Size Report
decomposes the 3D computer-aided design (CAD) model into 2D layer contours that can be easily built. This paper presents a new adaptive slicing algorithm.
Proceedings of the 2001 IEEE International Conference on Robotics & Automation Seoul, Korea • May 21-26, 2001

       

                                   ! "!#"$  "%& ' ()*+**  , 

  

 

    

   







                                                                          !                     

 "              !   #                                    !      $                                      !   

          !      !      "                %                

    

&    -                    * -    -     -                -   -     * .   -        /   -       -  -   (     * &  -       -    -                      -*            -    - '   -       0* &     0    '  

   1 2 -  - - 10 2* &          -     -3   /  -  0   *4  

      -      

   - ' 5- 0    -  * &    '  .          '     - 0-7803-6475-9/01/$10.00© 2001 IEEE

 00 -           0   -      *   -   -'  - -   -        '  -  -  -   *         

    

                            

    

 &     - -          -        - 0 '   0          -          -*    - #606 78 -     

-   ' - -    0      *      -       -     !            *4        ! ! !  =  ≤   '  =   0     ,  = {        } &   0      - -    -      -       

 0,  =        9      - 0     *  !  -9 :7(8- - 0

[

]

{

1334

{ }}

                *4  5  -      ρ  -         δ     0     -* + ' -   ,   = − ρ  θ + ρ   θ − δρ − δ    +- '' -   ,   ρ θ − ρ   θ − δρ − δ  ρ   θ − δρ −δ   >    =  ρ θ    &   0     -          * ; 0  -    7/8 -  -    - ' '         -   -  !  - 9 : 7(8* 4   -     -  5          -            * -    -- ' - -- '' -         -   5 -          

 *  !   7    - -  5    0*  3  '

    ∆               

   −    ∆  ≠     ⋅     ∆   12 =      ∆ C +     '*    '   -  ∆ '        - A    ′ 

  + =   +  

 =  +    &  '  (          

1336

  0       /   -   (        B         * -  -   - "    B    ' -  --   

 0  -*      -  '   -     0    5 -    '   '  . =*   

- -  -* 4              -  3

     -    '-    0  -  -   '     - - -     * &     !   

   - -    -   '  .  ? - .  G *      -   -  -     7G8 '  

   !!"  #     $#!      -        -   5  :          -  *& :         --   :    D      -  * 5 :       5    0 '  --     -       :          * -  5    0 '   -      '   '5*  

     %$       '    - 1 !  -  ! (2 ' -    -     -  -* 9     '  E FC)    -    - - 5   -  *!&     '         -*  -    '       -    - ' - -'    *& -  -    -    --    ',

 1 2   ( 

 0   * (  * =* -             '   -'    -  01 * = 2 -       '  .  ?* &         - -* #     ' '     * .  G  '  -     '    0* & 5  -   0 -   --  * (

- * =*. . G'         0  -    * 

                               .     '/        0 

 & ---      - *&    -  '  .  * & -   '  -         -       '    

 3 -   (-    

1337







  7     '/          0

   '  .  H  -  --           :   * &       -     0  -   ∆  '  -    ' -A          : *                   ,  2     (                         -     ( -   

 !    !' - 

   - -   - --   5  -   0            ! * &    - -       '  .    - .   *  &   -    --  &   '  '           

   -   - -    -   !  -  ! (* .   5     '   -   - -   -    =         

     - '  -   -

  * 

           

/   *   4 -       5 , ,,&

.,,

,,

, ,,&6, , 

71

%7 &



           

/   *   4 -       5 , ,,&

.,,

,,

, ,,&6, , 

!,,

&,

'  /    8    -    

 "! &%  # '(% )  %#   *# $!  -   -        -

    -       

   0   - '               -   -  -    ''- -*&        -   -  -     -- *  '. ( A           -  " 0    :" 5         - E  -     * & ;          -             I      -         * &       '          " 0      *&  -   -  ""  -  -                    -   

1338

  "   * &   - -           '  - - '  &  *&    -    

 '-  '  -        3 -          0    5  * & '      -          5       " 0*      -        -                - '  -      -

       -* .        -      - -- --7G8* 

  ' 0 -   -   * &     -       - ' -    * --          '   

     - -     -   -   '   - -  * & '

       -      -   -  -     * .   5     - -   -    =         

     - '  -   -

  * 4             -   -  -             -    -       -  3 - ' - - * 

  

:#;  - 

4 

/ 9#

9  /  

  9/   49  

    

           -           - -     - * .   -       --     3            -                  -      *&          -          - -      *        -    -  - '  

     -* &          '       '  '

   -  '     '     

  * -#606*J!E -    - #     &3 K       *( *(.

HH