Plotting Implicit Functions

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Presentation transcript:

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

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

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

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

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

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

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

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

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

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

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

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

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