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3D Wireframe from OBJ File
Raw
.block
license: MIT
Raw
README.md

This example a simple parsing of the obj file format for 3D objects, and the display of 3D objects in svg, using orthographic projection from 3D to 2D, and using d3's Zoom Behavior for zoom (mouse scroll or swipe), rotation (mouse drag) and pan (spacebar plus mouse drag). Line opacity is indicative of visual depth (lines closer to the viewer are more opaque than lines further away).

The obj file format is a commonly used file format for 3D model exchange, and the teapot is a common example - in this case, the obj file was sourced from this collection.

WebGL (e.g. via threejs) is becoming the most common approach for browser-based visualization of 3D models, but there are situations where svg display is still desirable. The use of line opacity for depth is a nice simple trick that works well in some cases but not all - more cases would benefit from a dynamic z-ordering of surfaces (by redrawing surfaces only when necessary), which would then allow for opaque surface rendering instead of just wireframes. I plan to demonstrate this in an upcoming example.

Raw
index.html
<!DOCTYPE html>
<meta charset="utf-8">
<style>
.polygon {
fill: none;
stroke: #000;
}
</style>
<body>
<script src="https://d3js.org/d3.v3.min.js"></script>
<script src="obj_parse.js"></script>
<script>
var width = 960,
height = 500,
margin = 20;
var square_length = d3.min([width,height]) - 2 * margin;
var x_scale = d3.scale.linear()
.range([width/2 - square_length/2, width/2 + square_length/2]);
var y_scale = d3.scale.linear()
.range([height/2 + square_length/2, height/2 - square_length/2]);
var z_scale = d3.scale.linear()
.range([0, 1]);
var camera = {inclination: Math.PI/2, azimuth: 0, center: {x:0, y:0, z:0}};
var pan_mode = false;
var zoom = d3.behavior.zoom()
.scaleExtent([1, 10])
.on("zoom", zoomed);
var svg = d3.select("body").append("svg")
.attr("width", width)
.attr("height", height)
.call(zoom);
var container = svg.append("g");
function translate_pt(pt, center) {
return {x: pt.x - center.x,
y: pt.y - center.y,
z: pt.z - center.z};
}
function rotate_pt(pt, camera) {
// first rotate around y-axis to the azimuth angle
var xp2 = pt.x * Math.cos(camera.azimuth) - pt.z * Math.sin(camera.azimuth);
var zp2 = pt.x * Math.sin(camera.azimuth) + pt.z * Math.cos(camera.azimuth);
// then around the x axis to pi/2 minus the inclination angle
var a = Math.PI/2 - camera.inclination;
var zp3 = zp2 * Math.cos(a) - pt.y * Math.sin(a);
var yp3 = zp2 * Math.sin(a) + pt.y * Math.cos(a);
return {x: xp2, y: yp3, z: zp3};
}
function project_orthographic(surfaces, camera) {
surfaces.forEach(function(points){
points.forEach(function(point){
var point_t = translate_pt(point, camera.center);
var point_r = rotate_pt(point_t, camera);
point.px = point_r.x;
point.py = point_r.y;
point.pz = point_r.z;
});
});
return surfaces;
}
function draw(surfaces) {
var polygons = container.selectAll(".polygon")
.data(surfaces);
polygons.enter().append("path")
.attr("class", "polygon");
polygons
.attr("d", function(datum) {
var d = datum.map(function(point){
return [x_scale(point.px), y_scale(point.py)];
});
return "M" + d.join("L") + "Z";
})
.attr("opacity", function(datum) {
var d = datum.map(function(point){ return point.pz; });
return z_scale(d3.max(d));
});
}
function update(surfaces, camera) {
surfaces = project_orthographic(surfaces, camera);
draw(surfaces);
}
var mouse_pan_x = 0,
mouse_pan_y = 0,
mouse_rot_x = 0,
mouse_rot_y = 0,
prev_mouse_x = 0,
prev_mouse_y = 0
prev_scale = 1;
function zoomed() {
var delta_x = d3.event.translate[0] - prev_mouse_x,
delta_y = d3.event.translate[1] - prev_mouse_y;
prev_mouse_x = d3.event.translate[0];
prev_mouse_y = d3.event.translate[1];
if ( d3.event.scale === prev_scale ) {
if (pan_mode) {
mouse_pan_x += delta_x;
mouse_pan_y += delta_y;
container.attr("transform",
"translate(" + mouse_pan_x + "," + mouse_pan_y + ")");
} else {
mouse_rot_x += delta_x;
mouse_rot_y += delta_y;
camera.inclination = Math.PI/2 + mouse_rot_y / 500;
camera.azimuth = -1 * mouse_rot_x / 500;
}
} else {
x_scale
.range([width/2 - d3.event.scale * square_length/2,
width/2 + d3.event.scale * square_length/2]);
y_scale
.range([height/2 + d3.event.scale * square_length/2,
height/2 - d3.event.scale * square_length/2]);
prev_scale = d3.event.scale;
}
update(surfaces, camera);
}
function checkKeyDown(e) {
var event = window.event ? window.event : e;
if (event.keyCode === 32) { pan_mode = true; }
}
function checkKeyUp(e) {
var event = window.event ? window.event : e;
if (event.keyCode === 32) { pan_mode = false; }
}
document.onkeydown = checkKeyDown;
document.onkeyup = checkKeyUp;
var surfaces;
var obj;
d3.text("teapot.obj", function(error, obj_file_text) {
if (error) throw error;
obj = parse_obj_text(obj_file_text);
surfaces = obj.surfaces;
var extreme = d3.max([Math.abs(obj.extents[0]),Math.abs(obj.extents[1])]);
camera.center = obj.center;
x_scale.domain([-extreme, extreme]);
y_scale.domain([-extreme, extreme]);
z_scale.domain([-extreme, extreme]);
update(surfaces, camera)
});
</script>
Raw
obj_parse.js
function parse_obj_text(obj_file_text) {
var obj_file_lines = obj_file_text.split("\n");
var vertices = [];
obj_file_lines.forEach(function(line){
if (line.startsWith("v ")) {
var vs = line.split(/[ ]+/);
vertices.push({x: +vs[1], y: +vs[2], z: +vs[3]});
}
});
var faces = [];
obj_file_lines.forEach(function(line){
if (line.startsWith("f ")) {
var vs = line.split(/[ ]+/);
var o = vs.shift();
var f = [];
vs.forEach(function(v){
f.push(+v.split('/')[0]);
});
faces.push(f);
}
});
var surfaces = [];
var vertices_used = [];
faces.forEach(function(f){
var surface = [];
f.forEach(function(v){
surface.push(vertices[v - 1]);
vertices_used.push(vertices[v - 1]);
});
surfaces.push(surface);
});
var vx = vertices_used.map(function(v){ return v.x; }),
vy = vertices_used.map(function(v){ return v.y; }),
vz = vertices_used.map(function(v){ return v.z; });
var min = {x: d3.min(vx), y: d3.min(vy), z: d3.min(vz)};
var max = {x: d3.max(vx), y: d3.max(vy), z: d3.max(vz)};
var extents = [d3.min([min.x, min.y, min.z]), d3.max([max.x, max.y, max.z])];
var center = {x: (min.x + max.x)/2, y: (min.y + max.y)/2, z: (min.z + max.z)/2}
return {vertices: vertices, faces: faces, surfaces: surfaces,
extents: extents, center: center};
}
Raw
teapot.obj
# OBJ file created by ply_to_obj.c
#
g Object001
v 40.6266 28.3457 -1.10804
v 40.0714 30.4443 -1.10804
v 40.7155 31.1438 -1.10804
v 42.0257 30.4443 -1.10804
v 43.4692 28.3457 -1.10804
v 37.5425 28.3457 14.5117
v 37.0303 30.4443 14.2938
v 37.6244 31.1438 14.5466
v 38.8331 30.4443 15.0609
v 40.1647 28.3457 15.6274
v 29.0859 28.3457 27.1468
v 28.6917 30.4443 26.7527
v 29.149 31.1438 27.2099
v 30.0792 30.4443 28.1402
v 31.1041 28.3457 29.165
v 16.4508 28.3457 35.6034
v 16.2329 30.4443 35.0912
v 16.4857 31.1438 35.6853
v 16.9999 30.4443 36.894
v 17.5665 28.3457 38.2256
v 0.831025 28.3457 38.6876
v 0.831025 30.4443 38.1324
v 0.831025 31.1438 38.7764
v 0.831025 30.4443 40.0866
v 0.831025 28.3457 41.5301
v -15.868 28.3457 35.6034
v -15.0262 30.4443 35.0912
v -14.9585 31.1438 35.6853
v -15.3547 30.4443 36.894
v -15.9044 28.3457 38.2256
v -28.3832 28.3457 27.1468
v -27.4344 30.4443 26.7527
v -27.6068 31.1438 27.2099
v -28.4322 30.4443 28.1402
v -29.4421 28.3457 29.165
v -36.2402 28.3457 14.5117
v -35.52 30.4443 14.2938
v -36.0073 31.1438 14.5466
v -37.1767 30.4443 15.0609
v -38.5027 28.3457 15.6274
v -38.9646 28.3457 -1.10804
v -38.4094 30.4443 -1.10804
v -39.0534 31.1438 -1.10804
v -40.3636 30.4443 -1.10804
v -41.8071 28.3457 -1.10804
v -35.8804 28.3457 -16.7278
v -35.3683 30.4443 -16.5099
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v -37.1711 30.4443 -17.2769
v -38.5027 28.3457 -17.8435
v -27.4238 28.3457 -29.3629
v -27.0297 30.4443 -28.9687
v -27.4869 31.1438 -29.426
v -28.4172 30.4443 -30.3562
v -29.4421 28.3457 -31.3811
v -14.7887 28.3457 -37.8195
v -14.5708 30.4443 -37.3073
v -14.8236 31.1438 -37.9014
v -15.3379 30.4443 -39.1101
v -15.9044 28.3457 -40.4417
v 0.831025 28.3457 -40.9036
v 0.831025 30.4443 -40.3484
v 0.831025 31.1438 -40.9925
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v 37.5425 28.3457 -16.7278
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v 40.1647 28.3457 -17.8435
v 48.6879 17.1865 -1.10804
v 53.2404 6.22714 -1.10804
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v 44.979 17.1865 17.6758
v 49.1787 6.22714 19.4626
v 52.1492 -4.33246 20.7265
v 53.2759 -14.2925 21.2059
v 34.8094 17.1865 32.8703
v 38.0417 6.22714 36.1026
v 40.3279 -4.33246 38.3889
v 41.1951 -14.2925 39.2561
v 19.6148 17.1865 43.0399
v 21.4017 6.22714 47.2396
v 22.6656 -4.33246 50.2101
v 23.145 -14.2925 51.3369
v 0.831025 17.1865 46.7488
v 0.831025 6.22714 51.3013
v 0.831025 -4.33246 54.5214
v 0.831025 -14.2925 55.7428
v -17.9528 17.1865 43.0399
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v -38.6659 -4.33246 38.3889
v -39.5331 -14.2925 39.2561
v -43.3169 17.1865 17.6758
v -47.5166 6.22714 19.4626
v -50.4871 -4.33246 20.7265
v -51.6139 -14.2925 21.2059
v -47.0258 17.1865 -1.10804
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