Does anyone know an easy way to project all the points in a group to a plane?

I have a group of points (a plane for example) and I want to project them all to a plane (simplest case == WORKPLANE). Is there some smart way to do it all at once (a.k.a. "the JEFMAN way") or is it only possible with a loop? I haven't found anything yet...

The object of this is to create a secondary tangent plane perpendicular to the primary by the following method:

- measure the secondary plane
- project all points up/down to the primary (WORKPLANE)
- construct a tangent plane from the original plane points + the projected points (guaranteed to be perpendicular to the primary as that is our projection direction)

As a follow-up question: How can I use an ARRAY variable in the same way as .HIT[...] in the construction of a tangent plane?

Parents

JEFMAN over 7 years ago

AndersI : I tried with Your points, it seems to work...
I just add an if statement on V2 direction, to ensure that the sign doesn't change.
At the end, I change PL3 in Y+ just to check if there are 2 points at 0 en the others negatives.
Hope this help...

F1         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<38,0,-6>,$
            MEAS/XYZ,<38,-1,-6>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
F2         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<38,0,-29>,$
            MEAS/XYZ,<38,1,-29>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
F3         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<180,0,-6>,$
            MEAS/XYZ,<180,-1,-6>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
F4         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<180,0,-29>,$
            MEAS/XYZ,<180,1,-29>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
F5         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<115,0,-17>,$
            MEAS/XYZ,<115,-2,-17>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
PL1        =FEAT/PLANE,CARTESIAN,TRIANGLE,NO
            THEO/<110.2,0,-17.4>,<0,-1,0>
            ACTL/<110.2,-1.9535,-17.5351>,<0,-0.9962406,-0.0866296>
            CONSTR/PLANE,TANGENT,F1,F2,F3,F4,F5,,
            MATH_TYPE/CONSTRAINED_MINMAX,BFRE
PL2        =FEAT/PLANE,CARTESIAN,TRIANGLE,NO
            THEO/<0,0,0>,<0,0,1>
            ACTL/<0,0,0>,<0,0,1>
            CONSTR/PLANE,ALIGN,WORKPLANE
LN1        =FEAT/LINE,CARTESIAN,UNBOUNDED,NO
            THEO/<55.1,0,0>,<-1,0,0>
            ACTL/<55.1,-3.4783,0>,<-1,0,0>
            CONSTR/LINE,INTOF,PL1,PL2
            ASSIGN/V1=PL1.HIT[1..5].XYZ*MPOINT(1,1,0)
[COLOR=#FF0000]ASSIGN/V2=CROSS(PL2.IJK,LN1.IJK)
            IF/DOT(V2.IJK,PL1.IJK)<0
              ASSIGN/V2=-V2
            END_IF/[/COLOR]
            ASSIGN/V3=DOT(PL1.HIT[1..5].XYZ-LN1.XYZ,V2)
            ASSIGN/V4=MAXINDICES(V3)
            ASSIGN/V5=V4[1]
            ASSIGN/V6=V4[2]
            ASSIGN/V7=PL1.HIT[V5].XYZ*MPOINT(1,1,0)
F6         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<PL1.HIT[V5].X,PL1.HIT[V5].Y,PL1.HIT[V5].Z>,$
            MEAS/XYZ,<PL1.HIT[V5].X,PL1.HIT[V5].Y,PL1.HIT[V5].Z>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
F7         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<PL1.HIT[V6].X,PL1.HIT[V6].Y,PL1.HIT[V6].Z>,$
            MEAS/XYZ,<PL1.HIT[V6].X,PL1.HIT[V6].Y,PL1.HIT[V6].Z>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
F8         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<V7.X,V7.Y,V7.Z>,$
            MEAS/XYZ,<V7.X,V7.Y,V7.Z>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
PL3        =FEAT/PLANE,CARTESIAN,OUTLINE,NO
            THEO/<132.6667,1,-19.3333>,<0,-1,0>
            ACTL/<89.3333,-1.6667,-7.6667>,<-0.0129859,-0.9999157,0>
            CONSTR/PLANE,BF,F6,F7,F8,,
            OUTLIER_REMOVAL/OFF,3
            FILTER/OFF,WAVELENGTH=0
            ASSIGN/V8=DOT(PL1.HIT[1..5].XYZ-PL3.XYZ,PL3.IJK)
REF1       =ALIGNMENT/START,RECALL[emoticon:6D505171FAA4497C85C5CA27290C555D]ÉMARRAGE,LIST=YES
              ALIGNMENT/LEVEL,YPLUS,PL3
              ALIGNMENT/TRANS,YAXIS,PL3
            ALIGNMENT/END
DIM LOC1= LOCATION OF POINT F1  UNITS=MM ,$
GRAPH=OFF  TEXT=OFF  MULT=10.00  OUTPUT=BOTH  HALF ANGLE=NO
AX    NOMINAL       +TOL       -TOL       MEAS        DEV     OUTTOL
Y       0.0000     0.0500     0.0500     0.0000     0.0000     0.0000 ----#----
END OF DIMENSION LOC1
DIM LOC2= LOCATION OF POINT F2  UNITS=MM ,$
GRAPH=OFF  TEXT=OFF  MULT=10.00  OUTPUT=BOTH  HALF ANGLE=NO
AX    NOMINAL       +TOL       -TOL       MEAS        DEV     OUTTOL
Y       0.0000     0.0500     0.0500    -1.9998    -1.9998     1.9498 <--------
END OF DIMENSION LOC2
DIM LOC3= LOCATION OF POINT F3  UNITS=MM ,$
GRAPH=OFF  TEXT=OFF  MULT=10.00  OUTPUT=BOTH  HALF ANGLE=NO
AX    NOMINAL       +TOL       -TOL       MEAS        DEV     OUTTOL
Y       0.0000     0.0500     0.0500    -1.8440    -1.8440     1.7940 <--------
END OF DIMENSION LOC3
DIM LOC4= LOCATION OF POINT F4  UNITS=MM ,$
GRAPH=OFF  TEXT=OFF  MULT=10.00  OUTPUT=BOTH  HALF ANGLE=NO
AX    NOMINAL       +TOL       -TOL       MEAS        DEV     OUTTOL
Y       0.0000     0.0500     0.0500    -3.8438    -3.8438     3.7938 <--------
END OF DIMENSION LOC4
DIM LOC5= LOCATION OF POINT F5  UNITS=MM ,$
GRAPH=OFF  TEXT=OFF  MULT=10.00  OUTPUT=BOTH  HALF ANGLE=NO
AX    NOMINAL       +TOL       -TOL       MEAS        DEV     OUTTOL
Y       0.0000     0.0500     0.0500     0.0000     0.0000     0.0000 ----#----
END OF DIMENSION LOC5

Reply

JEFMAN over 7 years ago

F1         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<38,0,-6>,$
            MEAS/XYZ,<38,-1,-6>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
F2         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<38,0,-29>,$
            MEAS/XYZ,<38,1,-29>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
F3         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<180,0,-6>,$
            MEAS/XYZ,<180,-1,-6>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
F4         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<180,0,-29>,$
            MEAS/XYZ,<180,1,-29>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
F5         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<115,0,-17>,$
            MEAS/XYZ,<115,-2,-17>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
PL1        =FEAT/PLANE,CARTESIAN,TRIANGLE,NO
            THEO/<110.2,0,-17.4>,<0,-1,0>
            ACTL/<110.2,-1.9535,-17.5351>,<0,-0.9962406,-0.0866296>
            CONSTR/PLANE,TANGENT,F1,F2,F3,F4,F5,,
            MATH_TYPE/CONSTRAINED_MINMAX,BFRE
PL2        =FEAT/PLANE,CARTESIAN,TRIANGLE,NO
            THEO/<0,0,0>,<0,0,1>
            ACTL/<0,0,0>,<0,0,1>
            CONSTR/PLANE,ALIGN,WORKPLANE
LN1        =FEAT/LINE,CARTESIAN,UNBOUNDED,NO
            THEO/<55.1,0,0>,<-1,0,0>
            ACTL/<55.1,-3.4783,0>,<-1,0,0>
            CONSTR/LINE,INTOF,PL1,PL2
            ASSIGN/V1=PL1.HIT[1..5].XYZ*MPOINT(1,1,0)
[COLOR=#FF0000]ASSIGN/V2=CROSS(PL2.IJK,LN1.IJK)
            IF/DOT(V2.IJK,PL1.IJK)<0
              ASSIGN/V2=-V2
            END_IF/[/COLOR]
            ASSIGN/V3=DOT(PL1.HIT[1..5].XYZ-LN1.XYZ,V2)
            ASSIGN/V4=MAXINDICES(V3)
            ASSIGN/V5=V4[1]
            ASSIGN/V6=V4[2]
            ASSIGN/V7=PL1.HIT[V5].XYZ*MPOINT(1,1,0)
F6         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<PL1.HIT[V5].X,PL1.HIT[V5].Y,PL1.HIT[V5].Z>,$
            MEAS/XYZ,<PL1.HIT[V5].X,PL1.HIT[V5].Y,PL1.HIT[V5].Z>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
F7         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<PL1.HIT[V6].X,PL1.HIT[V6].Y,PL1.HIT[V6].Z>,$
            MEAS/XYZ,<PL1.HIT[V6].X,PL1.HIT[V6].Y,PL1.HIT[V6].Z>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
F8         =GENERIC/POINT,DEPENDENT,CARTESIAN,$
            NOM/XYZ,<V7.X,V7.Y,V7.Z>,$
            MEAS/XYZ,<V7.X,V7.Y,V7.Z>,$
            NOM/IJK,<0,-1,0>,$
            MEAS/IJK,<0,-1,0>
PL3        =FEAT/PLANE,CARTESIAN,OUTLINE,NO
            THEO/<132.6667,1,-19.3333>,<0,-1,0>
            ACTL/<89.3333,-1.6667,-7.6667>,<-0.0129859,-0.9999157,0>
            CONSTR/PLANE,BF,F6,F7,F8,,
            OUTLIER_REMOVAL/OFF,3
            FILTER/OFF,WAVELENGTH=0
            ASSIGN/V8=DOT(PL1.HIT[1..5].XYZ-PL3.XYZ,PL3.IJK)
REF1       =ALIGNMENT/START,RECALL[emoticon:6D505171FAA4497C85C5CA27290C555D]ÉMARRAGE,LIST=YES
              ALIGNMENT/LEVEL,YPLUS,PL3
              ALIGNMENT/TRANS,YAXIS,PL3
            ALIGNMENT/END
DIM LOC1= LOCATION OF POINT F1  UNITS=MM ,$
GRAPH=OFF  TEXT=OFF  MULT=10.00  OUTPUT=BOTH  HALF ANGLE=NO
AX    NOMINAL       +TOL       -TOL       MEAS        DEV     OUTTOL
Y       0.0000     0.0500     0.0500     0.0000     0.0000     0.0000 ----#----
END OF DIMENSION LOC1
DIM LOC2= LOCATION OF POINT F2  UNITS=MM ,$
GRAPH=OFF  TEXT=OFF  MULT=10.00  OUTPUT=BOTH  HALF ANGLE=NO
AX    NOMINAL       +TOL       -TOL       MEAS        DEV     OUTTOL
Y       0.0000     0.0500     0.0500    -1.9998    -1.9998     1.9498 <--------
END OF DIMENSION LOC2
DIM LOC3= LOCATION OF POINT F3  UNITS=MM ,$
GRAPH=OFF  TEXT=OFF  MULT=10.00  OUTPUT=BOTH  HALF ANGLE=NO
AX    NOMINAL       +TOL       -TOL       MEAS        DEV     OUTTOL
Y       0.0000     0.0500     0.0500    -1.8440    -1.8440     1.7940 <--------
END OF DIMENSION LOC3
DIM LOC4= LOCATION OF POINT F4  UNITS=MM ,$
GRAPH=OFF  TEXT=OFF  MULT=10.00  OUTPUT=BOTH  HALF ANGLE=NO
AX    NOMINAL       +TOL       -TOL       MEAS        DEV     OUTTOL
Y       0.0000     0.0500     0.0500    -3.8438    -3.8438     3.7938 <--------
END OF DIMENSION LOC4
DIM LOC5= LOCATION OF POINT F5  UNITS=MM ,$
GRAPH=OFF  TEXT=OFF  MULT=10.00  OUTPUT=BOTH  HALF ANGLE=NO
AX    NOMINAL       +TOL       -TOL       MEAS        DEV     OUTTOL
Y       0.0000     0.0500     0.0500     0.0000     0.0000     0.0000 ----#----
END OF DIMENSION LOC5

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