Mathematica Data Visualization by Saquib Nazmus

Author:Saquib, Nazmus [Saquib, Nazmus]
Language: eng
Format: mobi, azw3
Publisher: Packt Publishing
Published: 2014-09-24T23:00:00+00:00

Introduction to isocontours

Let's start with a 2D scalar field for the sake of simplicity. We will create a mock scalar field in Mathematica, and visualize the isocontours with the field to understand what an isocontour really means. The code for the 2D scalar field is as follows:

(* 2d scalar field visualization *)

(* create a scalar field of the form {x, y, x^2+y^2}, the scalar value at each coordinate is x^2+y^2. *)

sc2d = Flatten[ Table[{x, y, x^2+y^2}, {x,1,8},{y,1,5,0.5} ], 1 ];

(* divide by the maximum value of the scalar quantity to scale the other scalar values to [0, 1] *)

sc2d[[ ;;, 3 ]] = sc2d[[ ;;, 3 ]] / Max[ sc2d[[ ;;, 3 ]] ];

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