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Plotting Implicit Functions

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Presentation on theme: "Plotting Implicit Functions"— Presentation transcript:

1 Plotting Implicit Functions
Angel 2.11 Angel: Interactive Computer Graphics5E © Addison-Wesley 2009

2 Angel: Interactive Computer Graphics5E © Addison-Wesley 2009
Cell of Data Points Angel: Interactive Computer Graphics5E © Addison-Wesley 2009

3 Angel: Interactive Computer Graphics5E © Addison-Wesley 2009
Values at Each Point Angel: Interactive Computer Graphics5E © Addison-Wesley 2009

4 Angel: Interactive Computer Graphics5E © Addison-Wesley 2009
Choose Simplest Angel: Interactive Computer Graphics5E © Addison-Wesley 2009

5 Angel: Interactive Computer Graphics5E © Addison-Wesley 2009
Interpolation Don’t have to divide evenly x = xi + x(a-c)/(a-b) Angel: Interactive Computer Graphics5E © Addison-Wesley 2009

6 Vertex Label Cases (not unique)
Angel: Interactive Computer Graphics5E © Addison-Wesley 2009

7 Angel: Interactive Computer Graphics5E © Addison-Wesley 2009
Unique Vertex Labels Due to symmetry Rotations Inverses Angel: Interactive Computer Graphics5E © Addison-Wesley 2009

8 Recursive Subdivisions Possibly Needed
Angel: Interactive Computer Graphics5E © Addison-Wesley 2009

9 Angel: Interactive Computer Graphics5E © Addison-Wesley 2009
Ambiguity Angel: Interactive Computer Graphics5E © Addison-Wesley 2009

10 Angel: Interactive Computer Graphics5E © Addison-Wesley 2009
Subdivision to Solve Might need to repeat Angel: Interactive Computer Graphics5E © Addison-Wesley 2009

11 Interpolation “Smoothes”
Angel: Interactive Computer Graphics5E © Addison-Wesley 2009

12 Contour Visualization
Angel: Interactive Computer Graphics5E © Addison-Wesley 2009

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