implicit surface

choose implicitSurface example.js

uses ( Version (A) ) implicitSurface genus2 cut.js

// Example: implicit surface genus2 cut:

const isf = ( x, y, z ) => ( 2*y*( y*y - 3*x*x )*( 1 - z*z ) + ( x*x + y*y )*( x*x + y*y ) - ( 9*z*z - 1 )*( 1 - z*z ) );// IMPLICIT SURFACE Function
const dx = ( x, y, z ) => ( -12*x*y*( 1 - z*z ) + 4*x*( x*x + y*y ) );// PARTIAL DERIVATE to x
const dy = ( x, y, z ) => ( 6*( y*y - x*x )*( 1 - z*z ) + 4*y*( x*x + y*y ) );// PARTIAL DERIVATE to y
const dz = ( x, y, z ) => ( -4*y*( y*y - 3*x*x )*z + 36*z*z*z - 20*z );// PARTIAL DERIVATE to z

const xs = 0; // x START POINT
const ys = 3; // y START POINT
const zs = 0; // z START POINT

const e = 0.001; // epsilon
const d = 0.08; // rough edge length of triangles

const opt = {};
opt.fc = 360000;
opt.pc = 180000;
opt.b = [ 1, -Infinity, Infinity, -Infinity, Infinity, -Infinity ]; // bounds xMax, xMin, yMax, yMin, zMax, zMin

replace source in triangulationImplicitSurface.html rename the example

src="implicitSurface example.js"

// use version (A) with opt for infinite surfaces such as cylinders and cones or for cuts
/*opt optional object, all properties also optional
{
fc: faces //( max. number of triangles )
pc: positions // ( max. number of points )
b: bounds // array [ xMax, xMin, yMax, yMin, zMax, zMin ]
}
*/

// (A) parameters from implicitSurface example.js, with object of optional parameters, contains bounds
g.createImplicitSurface( isf, dx, dy, dz, xs, ys, zs, d, e, opt );

// (B) parameters from implicitSurface example.js with some default values
//g.createImplicitSurface( isf, dx, dy, dz, xs, ys, zs, d, e );

examples for version (A) with opt: (infinite surfaces or cut surfaces)

src="implicitSurface cylinder.js"
src="implicitSurface sphere cylinder.js"
src="implicitSurface two cylinder parallel.js"
src="implicitSurface two cylinder.js"
src="implicitSurface three cylinder.js"
src="implicitSurface two cylinder sphere.js"
src="implicitSurface sphere cone.js"
src="implicitSurface sphere cut.js"
src="implicitSurface yh6.js"
src="implicitSurface y sin.js"
src="implicitSurface torus.js"
src="implicitSurface genus2 cut.js"

examples for version (B) without opt:

src="implicitSurface threeBalls.js"
src="implicitSurface equipotential.js"
src="implicitSurface yh4.js"
src="implicitSurface torus sphere.js"
src="implicitSurface genus3.js"