Manual pages | Cast3M

$$$$ DALL     NOTICE  CHAT      11/09/12    21:15:42     7124           
                                             DATE     11/09/12

    Operateur DALLER                         Voir aussi : SURF
    ----------------   

    Description :
    ___________

    The DALLER operator constructs a surface, either from a
 contour or from a polynomial representation.
 
    -------------------
    | 1st possibility |
    -------------------
    SURF1 = DALL | COTE1 COTE2 COTE3 COTE4 | 'PLAN' ;
                 |                         | 'SPHE' CENTR1 ;
                 |                         | 'CYLI' POIN1  POIN2 ;
                 |                         | 'CONI' POIN1  POIN2 ;
                 |                         | 'TORI' CENTR1 POIN1 CENTR1
                 |                         | 'QUELCONQUE' ;


    Contents :
    _________

    Depending on the key word, the generated object lies on :

          *  a plane surface               ('PLAN')

          *  a spherical surface           ('SPHE')
             of CENTR1 centre (POINT type)

          *  a cylindrical surface         ('CYLI')
             of POIN1 POIN2 axis (POINT type)

          *  a conical surface             ('CONI')
             of POIN1 apex and POIN1 POIN2 axis (POINT type)

          *  a toric surface               ('TORI')
             of CENTR1 centre (POINT type)
             of POIN1 POIN2 symmetrical axis (POINT type)
             and with the small circle centre CENTR2 (POINT type) 

          *  a surface stemming from the sides ('QUELCONQUE')


    COTEi :  sides specifying a contour (MAILLAGE type)
             this contour must be oriented

    CENTRi : centres (POINT type)

    POINi  : points specifying the axes (POINT type)

    SURF1  : generated object (MAILLAGE type)


    Note :
    _______

    The constructed elements will be oriented according to the direction
 of the contour description.

    The opposite sides can bear a different number of points. But the
 total number of points must be even.

                             3ETOC
                       -----------------
                      C|\  | | | | |  /|2
                      O|-|-|-|-|-|-|-|-|E
                      T| | | | | | | | |T
                      E|-|-|-|-|-|-|-|-|O
                      4| | | | | | | | |C
                       ------------------
                             COTE1

    -------------------
    | 2nd possibility |
    -------------------
    SURF1 = DALL | POLYNOME N1 N2 P00  P01 (P02 (P03 ...) )
                 |                P10  P11 (P12 (P13 ...) )
                 |               (P20 (P21 (P22 (P23 ...) )
                 |               (         ...            )
                 |               ('PARAMETRE' U1 U2 V1 V2) ('REGULIER');



    The result is the MESH of the parameterized surface of
 the following equation :

                                   | P00 P01 P02 P03 .. |   |   1     |
                   2     (N2-1)    | P10 P11 P12 P13 .. |   |   U     |
    P(U,V) = (1 V V  ...V      ) x | P20 P21 P22 P23 .. | x |  ..     |
                                   |         ...        |   |U**(N1-1)|

    Contents :
    __________

    N1, N2        : number of columns and lines for the points
                    matrix (ENTIER type)

    P00, P01, ... : points used for the surface parametric
                    definition (POINT type).

    U1 et U2,     : U parameter variation boundaries equalling (0,1)
                    by default (FLOTTANT type)

    V1 et V2,     : V parameter variation boundaries equalling (0,1)
                    by default (FLOTTANT type)

    'REGULIER'    : key word indicating that the surface points 
                    must be regularly distributed in the geometrical
                    space (considering the existing densities) rather
                    than in the parametric space.