Hey All,
I am working on some 3D stuff for a visualization class. I am hitting a slight road block, however, when it comes to “looking” at the 3D model I have made. I’ve tried a couple of things with matrix transforms but to no avail. Can any of you give some advice on how to get my model on the screen?
Hi @blmacbeth
If you look at the source of the 3D Lab example that comes with Codea, you’ll notice the following:
perpective(fov) and camera(eyeX, eyeY, eyeZ, lookAtX, lookAtY, lookAtZ, upX, upY, upZ).
fov = Field of View, a “standard” value is 60
eyeXYZ is the eye vector (wherever you want your camera to be)
lookAtXYZ where it looks at (so 0, 0, 0 is you’re looking at the center)
and upXYZ the up vector (usually Y or Z up, so 0, 1, 0 or 0, 0, 1)
That’s basically all you need 
Cheers
I’d just like to add that you’ll also want to use either parameter or iparameter sliders for the fov.
also
translate(x,y,z)
rotate(Angle,0,1,0)
Here’s a small example that might help.
function setup()
iparameter("R",-360,360, 60)
parameter("x",0,1,.5)
parameter("y",0,1,.5)
parameter("z",0,1,.5)
iparameter("size", 1, 50, 20)
end
function draw()
background(0, 0, 0, 255)
perspective(50,WIDTH/HEIGHT)
camera(-200,0,0,0,0,0,0,1,0)
rotate(R,x,y,z)
fill(255, 0, 0, 255)
cube(0,0,0,size,size,size)
end
function cube(x,y,z,w,h,d)
local cube = mesh()
v = {
vec3(x-w,y-h,z+d),vec3(x-w,y+h,z+d),vec3(x+w,y-h,z+d),vec3(x+w,y+h,z+d),
vec3(x-w,y-h,z-d),vec3(x-w,y+h,z-d),vec3(x+w,y-h,z-d),vec3(x+w,y+h,z-d)
}
local faces = {
v[1],v[2],v[3],v[2],v[3],v[4],
v[2],v[4],v[6],v[4],v[6],v[8],
v[1],v[2],v[5],v[2],v[5],v[6],
v[3],v[4],v[7],v[4],v[7],v[8],
v[1],v[3],v[5],v[3],v[5],v[7],
v[5],v[6],v[7],v[6],v[7],v[8]
}
local c = { color(255, 0, 0, 255), color(0, 255, 0, 255), color(255, 243, 0, 255),
color(0, 0, 255, 255), color(255, 255, 255, 255), color(255, 0, 189, 255)}
local colors = {}
for i = 1, 6 do
for j = 1, 6 do
table.insert(colors, c[i])
end
end
cube.vertices = faces
cube.colors = colors
cube:draw()
end
Alrighty. I have proven that I can view something in 3D. However, I cannot make a 3D object. Here is my code to make a 3D graphed for a visualization program I am working on. What am I doing wrong? The vectors in the main class are my tests and what not. That mesh is drawn in the graphed classes draw function as I was too lazy to copy and paste the matrices to the main (it also felt redundant).
-- 3D Grapher
-- Use this function to perform your initial setup
function setup()
print("Hello World!")
iparameter("R",-360,360, 60)
parameter("x",0,1,.5)
parameter("y",0,1,.5)
parameter("z",0,1,.5)
parameter("cam",-300,0,-200)
iparameter("size", 1, 50, 20)
graph = Grapher3D(myFunction)
ms = mesh()
ms.vertices = {vec3(0,0,myFunction(0,0)),
vec3(1,0,myFunction(1,0)),
vec3(1,1,myFunction(1,1)),
vec3(0,0,myFunction(0,0)),
vec3(1,1,myFunction(1,1)),
vec3(0,1,myFunction(0,1)),
vec3(0,0,myFunction(0,0)),
vec3(-1,0,myFunction(-1,0)),
vec3(-1,-1,myFunction(-1,-1)),
vec3(0,0,myFunction(0,0)),
vec3(-1,-1,myFunction(-1,-1)),
vec3(0,-1,myFunction(0,-1))}
ms:setColors(127,127,127,255)
end
function myFunction(x,y)
return x*x-y*y
end
-- This function gets called once every frame
function draw()
-- This sets a dark background color
background(40, 40, 50)
-- This sets the line thickness
strokeWidth(5)
-- Do your drawing here
graph:draw()
end
Grapher3D class
Grapher3D = class()
function Grapher3D:init(f)
-- you can accept and set parameters here
self.min_x = -10
self.max_x = 10
self.min_y = -10
self.max_y = 10
self.m = mesh()
print(f(2,3))
for x = self.min_x, self.max_x do
for y = self.min_y, self.max_y do
-- Box around the point going from current point to the next
-- First Triangle
vecs = {vec3(x, y, f(x, y)), -- current point
vec3(x+1,y, f(x+1,y)), -- next x coord
vec3(x+1,y+1,f(x+1,y+1)),-- next point
-- Second Triangle
vec3(x, y, f(x, y)), -- current point
vec3(x+1,y+1,f(x+1,y+1)),-- next point
vec3(x, y+1,f(x, y+1))}-- next y coord
for i = 1, #vecs do
table.insert(self.m.vertices, vecs[i])
end
end
end
self.m:setColors(127,127,127,255)
end
function Grapher3D:draw()
-- Codea does not automatically call this method
pushMatrix()
perspective(50,WIDTH/HEIGHT)
camera(cam,0,0,0,0,0,0,1,0)
rotate(R,x,y,z)
scale(size)
self.m:draw()
ms:draw()
popMatrix()
end
function Grapher3D:touched(touch)
-- Codea does not automatically call this method
end
I finally fixed the code and it works great! I added some stuff to control how it breaks up the graph, etc. you’ll see.
Grapher3D = class()
function Grapher3D:init(f)
-- you can accept and set parameters here
self.f = f
self.min_x = -10
self.max_x = 10
self.min_y = -10
self.max_y = 10
self.m = mesh()
self.m.vertices = {}
self:makeGraph()
end
function Grapher3D:makeGraph()
local f = self.f
local n = 0 -- the number of vertices in the mesh
local vertices = {}
n_x = 30 -- number of sections on x-axis
n_y = 30 -- number of sections on y-axis
dx = (self.max_x - self.min_x)/n_x
dy = (self.max_y - self.min_y)/n_y
for x = self.min_x, self.max_x, dx do
for y = self.min_y, self.max_y, dx do
-- Box around the point going from current point to the next
-- First Triangle
vecs = {vec3(x, y, f(x, y)), -- current point
vec3(x+dx,y, f(x+dx,y)), -- next x coord
vec3(x+dx,y+dy,f(x+dx,y+dy)), -- next point
-- Second Triangle
vec3(x, y, f(x,y)), -- current point
vec3(x+dx,y+dy,f(x+dx,y+dy)), -- next point
vec3(x, y+dy,f(x,y+dy))} -- next y coord
for i = 1, 6 do
vertices[n+i] = vecs[i]
end
n = n + 6
end
end
self.m.vertices = vertices
print(vertices[2], x,y)
self.m:setColors(127,127,127,255)
end
function Grapher3D:draw()
-- Codea does not automatically call this method
pushMatrix()
perspective(FOV,WIDTH/HEIGHT)
camera(cam,0,0,0,0,0,0,1,0)
rotate(R,x,y,z)
scale(size)
self.m:draw()
ms:draw()
popMatrix()
end
function Grapher3D:touched(touch)
-- Codea does not automatically call this method
end
Still needs lighting…