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var params =  [
    {
        name: "image",
        label: "Pattern Image",
        desc: "Image",
        type: "uri",
        defaultVal: "http:\/\/www.shapeways.com\/rrstatic\/img\/shapejs\/creator\/sw_logo.png"
    }
];

var voxelSize = 0.05*MM;

function makeImage(path, width, height, thickness){

var img = new Image3D(path, width, height, thickness);
    img.setBaseThickness(0.0);
    img.setBlurWidth(0.5*voxelSize);
    img.setUseGrayscale(false);
    return img;
}

function main(args){
    // see signet_ring.svg for drawing

// user definable variables

var imageThickness = 10*MM;

var ringSize = 19.76*MM; // size 10  (24.64*MM;   size 16), (16.51*MM; size 6)
    var ringThickness = 1.5*MM;
    var ringWidth = 2*MM;

var bezelAngle = Math.PI/8; // angle of bezel sides, good values are between PI/5 and PI/20
    var bezelHeight = 1.5*MM;  // thickness of the ring bezel

var imagePath = args.image;
    var imageScale = 0.95; // size fo image relative to bezel size

// end of user definable variables

var inRad = ringSize/2;
    var outRad = inRad + ringThickness;

//var cylY = 1.5*MM;

var By = inRad + bezelHeight;

var sinA = Math.sin(bezelAngle);
    var BC = (Ay - By)*Math.tan(bezelAngle);
    var Ay = outRad/sinA;
    var Fy = Ay*sinA*sinA;
    var bezelBase = Fy;
    var bezelTop = By;

var margin = 0.2*MM;// empty space around object
    // size of grid to fit the ring
    var gridWidth = 2*outRad + 2*margin;
    var gridHeight = 2*bezelTop +  2*margin;

var Cx = (Ay - By)*Math.tan(bezelAngle);
    var Dx = Cx*(1 + bezelHeight/(Ay - By));

var cutR = inRad; // radius of cylindrical transition

var Ex = ringWidth/2 + cutR;
    var dd = 1*MM;  // width of small bezel undercut
    var Ey = inRad - Math.sqrt(cutR*cutR - (Ex - Dx + dd)*(Ex - Dx + dd));

var imageWidth = imageScale*Cx*2;
    var imageHeight = imageWidth;

var image = makeImage(imagePath, imageWidth, imageHeight,imageThickness);
    var imageTransform = new CompositeTransform();
    imageTransform.add(new Rotation(new Vector3d(1,0,0), -Math.PI/2));
    imageTransform.add(new Translation(0,By, 0));
    image.setTransform(imageTransform);

var ringBase = new Sphere(outRad);

// bezel is cone truncated by 2 parallel planes
    var bezel = new Intersection();
    bezel.add(new Cone(new Vector3d(0,Ay, 0), new Vector3d(0,-1,0), bezelAngle));
    bezel.add(new Plane(new Vector3d(0,1,0), bezelTop));
    bezel.add(new Plane(new Vector3d(0,-1,0), -bezelBase));
    bezel.setBlend(0.1*MM);

var ring = new Union();
    ring.add(ringBase);
    ring.add(bezel);

var cutoff = new Union();

var rounding = 0.2*MM;
    var gw = gridWidth;
    var gw2 = gridWidth/2;
    cutoff.add(new Cylinder(new Vector3d(0, 0, -gw2),new Vector3d(0,0,gw2),inRad));
    cutoff.add(new Cylinder(new Vector3d(-gw2, Ey, Ex), new Vector3d(gw2, Ey, Ex), cutR));
    cutoff.add(new Cylinder(new Vector3d(-gw2, Ey, -Ex), new Vector3d(gw2, Ey, -Ex), cutR));
    cutoff.add(new Box(0,-inRad,  Ex+rounding/2,  gw, 2*(inRad+Ey), 2*cutR));
    cutoff.add(new Box(0,-inRad, -Ex-rounding/2,  gw, 2*(inRad+Ey), 2*cutR));
    cutoff.setBlend(rounding);  // TODO this blend rounds the inner edges but causes an artifact

var fullRing = new Subtraction(ring, cutoff);
    fullRing.setBlend(0.1*MM);

var ringWithImage = new Subtraction(fullRing, image);

var bounds = new Bounds(-gridWidth/2, gridWidth/2, -gridHeight/2, gridHeight/2, -gridWidth/2, gridWidth/2);
    var scene = new Scene(ringWithImage,bounds,voxelSize);
    scene.setName("SignetRing");

return scene;
}