• Adobe After Effects Expressions

  Camera positioning expression

  Posted by Akane Hiraoka on August 21, 2018 at 10:35 pm

  Hello,

  I don’t even know where to begin, but I have to make amends to the camera animation that someone else had created. Camera movements are controlled by the following expression. I have 6 navigation points to adjust at the moment but I have to add 7 more points to animate the entire scene, but it’s just too difficult for me to get my head around, if anyone can figure it out or explain to me the following expression will be super super appreciated!

  rSt=thisComp.layer("EDIT").effect("StartRadius")("ADBE Slider Control-0001");
rMid=thisComp.layer("EDIT").effect("MiddleRadius")("ADBE Slider Control-0001");
rEnd=thisComp.layer("EDIT").effect("EndRadius")("ADBE Slider Control-0001");

  SA=thisComp.layer("EDIT").effect("StartAngle")("ADBE Angle Control-0001");
  EA=thisComp.layer("EDIT").effect("EndAngle")("ADBE Angle Control-0001");

  m1=thisComp.layer("L3").effect("m1")("ADBE Slider Control-0001");
  m2=thisComp.layer("L3").effect("m2")("ADBE Slider Control-0001");
  m3=thisComp.layer("L3").effect("m3")("ADBE Slider Control-0001");
  m4=thisComp.layer("L3").effect("m4")("ADBE Slider Control-0001");
  m5=thisComp.layer("L3").effect("m5")("ADBE Slider Control-0001");
  m6=thisComp.layer("L3").effect("m6")("ADBE Slider Control-0001");

  timeNew=thisComp.layer("Marker").effect("Marker_0-5000")("ADBE Slider Control-0001");

  tN=ease(timeNew, m1, m6, [0], [1]);

  Rad=Math.pow(1-tN, 2)*rSt+2*tN*(1-tN)*rMid+Math.pow(tN, 2)*rEnd;

  P1=thisComp.layer("P1").transform.position;
  P2=thisComp.layer("P2").transform.position;
  P3=thisComp.layer("P3").transform.position;
  P4=thisComp.layer("P4").transform.position;
  P5=thisComp.layer("P5").transform.position;
  P6=thisComp.layer("P6").transform.position;

  P0=[P1[0]+Rad, P1[1]];
  P02=[P6[0]-Rad, P6[1]];

  t11=easeIn(timeNew, m1, m2, [0], [1]);
  t22=linear(timeNew, m2, m3, [0], [1]);
  t33=linear(timeNew, m3, m4, [0], [1]);
  t44=linear(timeNew, m4, m5, [0], [1]);
  t55=easeOut(timeNew, m5, m6, [0], [1]);

  if(timeNew= m2 && timeNew=m3 && timeNew=m4 && timeNew=m5) t5=1 else t5=0;

  t=t11*t1+t22*t2+t33*t3+t44*t4+t55*t5;

  pM2=(P1+P2+P3+P4+P5+P6)/6;

  n1=thisComp.layer("P1").transform.position;
  n2=thisComp.layer("P2").transform.position;
  n3=thisComp.layer("P3").transform.position;
  n4=thisComp.layer("P4").transform.position;
  n5=thisComp.layer("P5").transform.position;
  n6=thisComp.layer("P6").transform.position;

  L1=length(P0, pM2);
  L2=length(P0, P1);
  L3=length(P1, pM2);

  L12=length(P02, pM2);
  L22=length(P02, P6);
  L32=length(P6, pM2);

  q=(Math.pow(L2, 2)+Math.pow(L3, 2)-Math.pow(L1, 2))/(2*L2*L3);
  a=Math.acos(q);
  a2=radiansToDegrees(a);
  a3=ease(a2, 0, 180, [135+SA], [45+SA]);

  q22=(Math.pow(L22, 2)+Math.pow(L32, 2)-Math.pow(L12, 2))/(2*L22*L32);
  a22=Math.acos(q22);
  a222=radiansToDegrees(a22);
  a322=ease(a222, 180, 0, [45+EA], [135+EA]);
  u=ease(tN, 0, 1, [a3], [a322]);

  a4=degreesToRadians(u);
  r1=[n1[0]+Rad*Math.cos(a4), n1[1]+Rad*Math.sin(a4)];
  r2=[n2[0]+Rad*Math.cos(a4), n2[1]+Rad*Math.sin(a4)];
  r3=[n3[0]+Rad*Math.cos(a4), n3[1]+Rad*Math.sin(a4)];
  r4=[n4[0]+Rad*Math.cos(a4), n4[1]+Rad*Math.sin(a4)];
  r5=[n5[0]+Rad*Math.cos(a4), n5[1]+Rad*Math.sin(a4)];
  r6=[n6[0]+Rad*Math.cos(a4), n6[1]+Rad*Math.sin(a4)];

  r12=(r1+r2)/2;
  r22=(r2+r3)/2;
  r32=(r3+r4)/2;
  r42=(r4+r5)/2;
  r52=(r5+r6)/2;
  r61=r52;
  r21=2*r2-r22;
  r31=2*r3-r32;
  r41=2*r4-r42;
  r51=2*r5-r52;

  rv11=(1-t11);
  rv21=Math.pow(rv11, 2);
  rv31=Math.pow(rv11, 3);
  tp21=Math.pow(t11, 2);
  tp31=Math.pow(t11, 3);
  rv12=(1-t22);
  rv22=Math.pow(rv12, 2);
  rv32=Math.pow(rv12, 3);
  tp22=Math.pow(t22, 2);
  tp32=Math.pow(t22, 3);
  rv13=(1-t33);
  rv23=Math.pow(rv13, 2);
  rv33=Math.pow(rv13, 3);
  tp23=Math.pow(t33, 2);
  tp33=Math.pow(t33, 3);
  rv14=(1-t44);
  rv24=Math.pow(rv14, 2);
  rv34=Math.pow(rv14, 3);
  tp24=Math.pow(t44, 2);
  tp34=Math.pow(t44, 3);
  rv15=(1-t55);
  rv25=Math.pow(rv15, 2);
  rv35=Math.pow(rv15, 3);
  tp25=Math.pow(t55, 2);
  tp35=Math.pow(t55, 3);
  rY1=rv31*r1+3*t11*rv21*r12+3*tp21*rv11*r21+tp31*r2;
  rY2=rv32*r2+3*t22*rv22*r22+3*tp22*rv12*r31+tp32*r3;
  rY3=rv33*r3+3*t33*rv23*r32+3*tp23*rv13*r41+tp33*r4;
  rY4=rv34*r4+3*t44*rv24*r42+3*tp24*rv14*r51+tp34*r5;
  rY5=rv35*r5+3*t55*rv25*r52+3*tp25*rv15*r61+tp35*r6;

  r=t1*rY1+t2*rY2+t3*rY3+t4*rY4+t5*rY5;


  Kalleheikki Kannisto replied 8 years, 1 month ago 2 Members · 1 Reply
• 1 Reply

• 

  Kalleheikki Kannisto

  August 22, 2018 at 1:55 pm

  I’m not going to attempt to interpret the code, but from the looks of it, you need to add the new points (6 through 13) in a number of locations in the code. I marked the points where I saw you’d have to add code, using the same calculations but updating the variable names for each.

  “… through…” means all values between following the same logic. You want to keep track of, on a piece of paper, the different variable namings. In one spot the points 6-12 are added instead 6-13. I guess the last interval is handled differently.

  Theoretically this could work.

  rSt=thisComp.layer(“EDIT”).effect(“StartRadius”)(“ADBE Slider Control-0001”);
  rMid=thisComp.layer(“EDIT”).effect(“MiddleRadius”)(“ADBE Slider Control-0001”);
  rEnd=thisComp.layer(“EDIT”).effect(“EndRadius”)(“ADBE Slider Control-0001”);

  SA=thisComp.layer(“EDIT”).effect(“StartAngle”)(“ADBE Angle Control-0001”);
  EA=thisComp.layer(“EDIT”).effect(“EndAngle”)(“ADBE Angle Control-0001”);

  m1=thisComp.layer(“L3”).effect(“m1”)(“ADBE Slider Control-0001”);
  m2=thisComp.layer(“L3”).effect(“m2”)(“ADBE Slider Control-0001”);
  m3=thisComp.layer(“L3”).effect(“m3”)(“ADBE Slider Control-0001”);
  m4=thisComp.layer(“L3”).effect(“m4”)(“ADBE Slider Control-0001”);
  m5=thisComp.layer(“L3”).effect(“m5”)(“ADBE Slider Control-0001”);
  m6=thisComp.layer(“L3”).effect(“m6”)(“ADBE Slider Control-0001”);
  m7=… through
  m13= …

  timeNew=thisComp.layer(“Marker”).effect(“Marker_0-5000”)(“ADBE Slider Control-0001”);

  tN=ease(timeNew, m1, m13, [0], [1]);

  Rad=Math.pow(1-tN, 2)*rSt+2*tN*(1-tN)*rMid+Math.pow(tN, 2)*rEnd;

  P1=thisComp.layer(“P1”).transform.position;
  P2=thisComp.layer(“P2”).transform.position;
  P3=thisComp.layer(“P3”).transform.position;
  P4=thisComp.layer(“P4”).transform.position;
  P5=thisComp.layer(“P5”).transform.position;
  P6=thisComp.layer(“P6”).transform.position;
  P7=… through
  P13=…

  P0=[P1[0]+Rad, P1[1]];
  P02=[P13[0]-Rad, P13[1]];

  t11=easeIn(timeNew, m1, m2, [0], [1]);
  t22=linear(timeNew, m2, m3, [0], [1]);
  t33=linear(timeNew, m3, m4, [0], [1]);
  t44=linear(timeNew, m4, m5, [0], [1]);
  t55=easeOut(timeNew, m5, m6, [0], [1]);
  t66 =… through
  t1313 = …

  if(timeNew= m2 && timeNew=m3 && timeNew=m4 && timeNew=m5 && timeNew=m6 through timeNew =m12) t5=1 else t5=0;

  t=t11*t1+t22*t2+t33*t3+t44*t4+t55*t5+t65*t6 through t1212*t12;

  pM2=(P1+P2+P3+P4+P5+P6+P7 though P13)/13;

  n1=thisComp.layer(“P1”).transform.position;
  n2=thisComp.layer(“P2”).transform.position;
  n3=thisComp.layer(“P3”).transform.position;
  n4=thisComp.layer(“P4”).transform.position;
  n5=thisComp.layer(“P5”).transform.position;
  n6=thisComp.layer(“P6”).transform.position;
  n7=… through
  n13= ….
  
  L1=length(P0, pM2);
  L2=length(P0, P1);
  L3=length(P1, pM2);

  L12=length(P02, pM2);
  L22=length(P02, P13);
  L32=length(P13, pM2);

  q=(Math.pow(L2, 2)+Math.pow(L3, 2)-Math.pow(L1, 2))/(2*L2*L3);
  a=Math.acos(q);
  a2=radiansToDegrees(a);
  a3=ease(a2, 0, 180, [135+SA], [45+SA]);

  q22=(Math.pow(L22, 2)+Math.pow(L32, 2)-Math.pow(L12, 2))/(2*L22*L32);
  a22=Math.acos(q22);
  a222=radiansToDegrees(a22);
  a322=ease(a222, 180, 0, [45+EA], [135+EA]);
  u=ease(tN, 0, 1, [a3], [a322]);

  a4=degreesToRadians(u);
  r1=[n1[0]+Rad*Math.cos(a4), n1[1]+Rad*Math.sin(a4)];
  r2=[n2[0]+Rad*Math.cos(a4), n2[1]+Rad*Math.sin(a4)];
  r3=[n3[0]+Rad*Math.cos(a4), n3[1]+Rad*Math.sin(a4)];
  r4=[n4[0]+Rad*Math.cos(a4), n4[1]+Rad*Math.sin(a4)];
  r5=[n5[0]+Rad*Math.cos(a4), n5[1]+Rad*Math.sin(a4)];
  r6=[n6[0]+Rad*Math.cos(a4), n6[1]+Rad*Math.sin(a4)];
  r7=… through
  r13=…

  note: this will make a conflict with variable naming r12, so that variable name need to be changed here

  r12=(r1+r2)/2;
  r22=(r2+r3)/2;
  r32=(r3+r4)/2;
  r42=(r4+r5)/2;
  r52=(r5+r6)/2;
  r62=… through
  r132=…

  r61=r52;
  r21=2*r2-r22;
  r31=2*r3-r32;
  r41=2*r4-r42;
  r51=2*r5-r52;
  r61= through
  r131=…

  rv11=(1-t11);
  rv21=Math.pow(rv11, 2);
  rv31=Math.pow(rv11, 3);
  tp21=Math.pow(t11, 2);
  tp31=Math.pow(t11, 3);
  rv12=(1-t22);
  rv22=Math.pow(rv12, 2);
  rv32=Math.pow(rv12, 3);
  tp22=Math.pow(t22, 2);
  tp32=Math.pow(t22, 3);
  rv13=(1-t33);
  rv23=Math.pow(rv13, 2);
  rv33=Math.pow(rv13, 3);
  tp23=Math.pow(t33, 2);
  tp33=Math.pow(t33, 3);
  rv14=(1-t44);
  rv24=Math.pow(rv14, 2);
  rv34=Math.pow(rv14, 3);
  tp24=Math.pow(t44, 2);
  tp34=Math.pow(t44, 3);
  rv15=(1-t55);
  rv25=Math.pow(rv15, 2);
  rv35=Math.pow(rv15, 3);
  tp25=Math.pow(t55, 2);
  tp35=Math.pow(t55, 3);
  rv16=(1-t66);
  rv26=Math.pow(rv16, 2);
  rv36=Math.pow(rv16, 3);
  tp26=Math.pow(t66, 2);
  tp36=Math.pow(t66, 3); … through

  tp313=Math.pow(t1313, 3);
  

  rY1=rv31*r1+3*t11*rv21*r12+3*tp21*rv11*r21+tp31*r2;
  rY2=rv32*r2+3*t22*rv22*r22+3*tp22*rv12*r31+tp32*r3;
  rY3=rv33*r3+3*t33*rv23*r32+3*tp23*rv13*r41+tp33*r4;
  rY4=rv34*r4+3*t44*rv24*r42+3*tp24*rv14*r51+tp34*r5;
  rY5=rv35*r5+3*t55*rv25*r52+3*tp25*rv15*r61+tp35*r6;
  rY6=… through
  rY13=…

  r=t1*rY1+t2*rY2+t3*rY3+t4*rY4+t5*rY5+t6*rY6 through t13*rY13;

  Kalleheikki Kannisto
  Senior Graphic Designer

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