Math in Houdini FX VOL 1-2

Lesson plan

• Introduction to vectors – What is the vectors and, why we need it in math and physic and CG ?.
• Dot product definition – Introduction to Dot product equation in math: input, return, formula, spatial situation, deficiency of Dot product .
• Dot product and angle calculate – Simple example in Houdini for using Dot product to calculate angle between two geometry.
• Dot product inside flip fluid 01 – Create custom force attribute for controlling fluid behavior.
• Dot product inside flip fluid 02 – Solving deficiency in Dot product and final behavior test.
• Cross Product definition – Introduction to Cross product equation: what we need to know about Cross Product for using in CG, and what we don’t need ?.
• Cross Product and particles 01 – Aiming dynamic force in particles by Cross product for creating windy curves (like frozen animation film).
• Cross Product and particles 02 – Adding randomizing vector to Cross product and update vector every 10 frames.
• Cross Product and particles 03 – Add amplitude to Cross Product direction vector and final simulation.
• Cross Product and particles 04 – Reorient all curves by one direction using For each SOP.
• Cross Product and particles 05 – Emitting particles from curves and creating advanced time manipulating expressions with time shift node .
• Matrix 01 – Rotate the attributes by Matrix to save the orientation after rotation.
• Matrix 02 – Generate Matrix using Align Vex Node and create attributes to store reorientation Matrix in, Create advanced reorient system using Matrices and For Each.
• Matrix 03 – Without Matrix it will need a code of 20 lines to do this effect, Modify particles velocity vector by rotation matrix.
• Sine Function 01 – What is the sine function parts in math.
• Sine Function 02 – Adding two sine wave to simple grid.
• Decay Solver 01 – What is the decay and what are the types of decay in life.
• Decay Solver 02 – Creating decay solver simulation in Houdini to decay physical attributes like fluid’s temperature, viscosity and cloth’s wetness….etc.
• Manipulate Rang[0-1] – Creating 10 different complex shapes from simple point number expression.