Rotate matrix of single model on its own axis - c++

I currently have 5 models displayed in a screen and what I'm trying to do. The following is my vertex shader for translating the models individually so that I can get them to move in different directions:
#version 330
layout (location = 0) Position;
uniform mat4 MVP;
uniform vec3 Translation;
uniform mat4 Rotate;
void main()
{
gl_Position = MVP * * Rotate * vec4(Position + Translation, 1.0); // Correct?
}
And to position/move my models individually within the render loop:
//MODEL ONE
glUniform3f(loc, 0.0f, 4.0f, 0.0f); // loc is "Translate"
glUniformMatrix4fv(loc, 1, GL_FALSE, glm::value_ptr(rotationMatrix)); // loc is "Rotate"
_model1.render();
Also I do have a glm::mat4 rotateMatrix() that returns a rotation. but when I multiply it with the other matrices within the render loop, the whole scene (minus the camera) rotates to the set angle.
UPDATE
How would I be able to apply my rotation to the models independently of the world on their own axis? The problem now is that the model rotates, but from 0,0,0 of the world and not it's own position.

There's are a couple of syntax error in your vertex shader:
No type for the Position variable. Looks from the context like it should be a vec3.
Two * signs after MVP.
I assume that was those were just an accident while copying the code, and you actually have a vertex shader that compiles.
To apply the rotation described by the Rotate matrix before the translation from the Translation vector, you should be able to simply change the order in the vertex shader:
vec4 rotatedVec = Rotate * vec4(Position, 1.0);
gl_Position = MVP * vec4(rotatedVec.xyz + Translation, 1.0);
The whole thing would looks simpler if you defined Rotate as a 3x3 matrix, which is sufficient for a rotation.

Related

How to properly transform normals for diffuse lighting in OpenGL?

In the attempt to get diffuse lighting correct, I read several articles and tried to apply them as close as possible.
However, even if the transform of normal vectors seems close to be right, the lighting still slides slightly over the object (which should not be the case for a fixed light).
Note 1: I added bands based on the dot product to make the problem more apparent.
Note 2: This is not Sauron eye.
In the image two problems are apparent:
The normal is affected by the projection matrix: when the viewport is horizontal, the normals display an elliptic shading (as in the image). When the viewport is vertical (height>width), the ellipse is vertical.
The shading move over the surface when the camera is rotated around the object.This is not much visible with normal lighting, but get apparent when projecting patterns from the light source.
Code and attempts:
Unfortunately, a minimal working example get soon very large, so I will only post relevant code. If this is not enough, as me and I will try to publish somewhere the code.
In the drawing function, I have the following matrix creation:
glm::mat4 projection = glm::perspective(45.0f, (float)m_width/(float)m_height, 0.1f, 200.0f);
glm::mat4 view = glm::translate(glm::mat4(1), glm::vec3(0.0f, 0.0f, -2.5f))*rotationMatrix; // make the camera 2.5f away, and rotationMatrix is driven by the mouse.
glm::mat4 model = glm::mat4(1); //The sphere at the center.
glm::mat4 mvp = projection * view * model;
glm::mat4 normalVp = projection * glm::transpose(glm::inverse(view * model));
In the vertex shader, the mvp is used to transform position and normals:
#version 420 core
uniform mat4 mvp;
uniform mat4 normalMvp;
in vec3 in_Position;
in vec3 in_Normal;
in vec2 in_Texture;
out Vertex
{
vec4 pos;
vec4 normal;
vec2 texture;
} v;
void main(void)
{
v.pos = mvp * vec4(in_Position, 1.0);
gl_Position = v.pos;
v.normal = normalMvp * vec4(in_Normal, 0.0);
v.texture = in_Texture;
}
And in the fragment shader, the diffuse shading is applied:
#version 420 core
in Vertex
{
vec4 pos;
vec4 normal;
vec2 texture;
} v;
uniform sampler2D uSampler1;
out vec4 out_Color;
uniform mat4 mvp;
uniform mat4 normalMvp;
uniform vec3 lightsPos;
uniform float lightsIntensity;
void main()
{
vec3 color = texture2D(uSampler1, v.texture);
vec3 lightPos = (mvp * vec4(lightsPos, 1.0)).xyz;
vec3 lightDirection = normalize( lightPos - v.pos.xyz );
float dot = clamp(dot(lightDirection, normalize(v.normal.xyz)), 0.0, 1.0);
vec3 ambient = 0.3 * color;
vec3 diffuse = dot * lightsIntensity * color;
// Here I have my debug code to add the projected bands on the image.
// kind of if(dot>=0.5 && dot<0.75) diffuse +=0.2;...
vec3 totalLight = ambient + diffuse;
out_Color = vec4(totalLight, 1.0);
}
Question:
How to properly transform the normals to get diffuse shading?
Related articles:
How to calculate the normal matrix?
GLSL normals with non-standard projection matrix
OpenGL Diffuse Lighting Shader Bug?
http://www.opengl-tutorial.org/beginners-tutorials/tutorial-3-matrices/
http://www.lighthouse3d.com/tutorials/glsl-12-tutorial/the-normal-matrix/
Mostly, all sources agree that it should be enough to multiply the projection matrix by the transpose of the inverse of the model-view matrix. That is what I think I am doing, but the result is not right apparently.
Lighting calculations should not be performed in clip space (including the projection matrix). Leave the projection away from all variables, including light positions etc., and you should be good.
Why is that? Well, lighting is a physical phenomenon that essentially depends on angles and distances. Therefore, to calculate it, you should choose a space that preserves these things. World space or camera space are two examples of angle and distance-preserving spaces (compared to the physical space). You may of course define them differently, but in most cases they are. Clip space preserves neither of the two, hence the angles and distances you calculate in this space are not the physical ones you need to determine physical lighting.

How to use LookAt matrix in vertex shader

Let's say I have the following vertex shader code below:
attribute vec4 vPos;
uniform mat4 MVP;
uniform mat4 LookAt;
void main{
gl_Position = MVP * vPos;
}
How do I use the LookAt matrix in this shader to position the eye of the camera? I have tried LookAt * MVP * vPos but that didn't seem to work as my triangle just disappeared off screen!
I would suggest move the LookAt outside the shader to prevent un-necessary calculation per vertex. The shader still do
gl_Position = MVP * vPos;
and you manipulate MVP in the application with glm. For example:
projection = glm::perspective(fov, aspect, 0.1f, 10000.0f);
view = glm::lookAt(eye, center, up);
model = matrix of the model, with all the dynamic transforms.
MVP = projection * view * model;
A LookAt matrix is in general called a View matrix and is concatenated with a model-to-world transform matrix to form the WorldView matrix. This is then multiplied by the projection matrix which is often orthographic or perspective. Vertex positions in model space are multiplied with the resulting matrix in order to be transformed to clip space (kinda...I skipped a couple of steps here that you don't have to do and is performed by the hardware/driver).
In your case, make sure that you're using the correct 'handedness' for your transformations. Also you can try and multiply the position in the reverse order with the transpose of your transformation matrices like so vPos*T_MVP*T_LookAt.

Opengl Vertices Camera orientation

I am working on a 3D project using vertices, i started it with a simple gluLookAt in order to have a first person camera moving in an environment, i use it this way :
gluLookAt(_position.x,_position.y,_position.z,
_target.x,_target.y,_target.z,
0,0,1);
Everything was working fine, i was calculating my target according to the position of the mouse and angles (theta and phi), my project moved on to using vertices for performance issues, so i had to use the same camera for these new objects, in order to do this i used the GLM library this way :
glm::mat4 Projection = glm::perspective(90.0f, 800.0f / 600.0f, 0.1f, 100.f);
glm::mat4 View = glm::lookAt(
glm::vec3(position.x,position.y,position.z),
glm::vec3(target.x,target.y,target.z),
glm::vec3(0,0,1)
);
glm::mat4 Model = glm::mat4(1.0f); !
// Our ModelViewProjection : multiplication of our 3 matrices
glm::mat4 MVP = Projection * View * Model;
GLuint MatrixID = glGetUniformLocation(this->shaderProgram, "MVP");
here is the shader i use :
const GLchar* default_vertexSource =
"#version 150 core\n"
"in vec2 position;"
"in vec3 color;"
"out vec3 Color;"
"uniform vec3 translation;"
"uniform mat4 rotation;"
"uniform mat4 MVP;"
"void main() {"
" Color = color;"
" gl_Position = MVP*rotation*vec4(position.x + translation.x, position.y + translation.y, 0.0 + translation.z, 1.0);"
"}";
What happens is that my my object's coordinate reference is not the same as my camera, it is drawn above it on the current x/z plan whereas it should be facing the camera on the x/y plan.
From my point of view it seems that you are missunderstanding how translation in OpenGL works.
glm::lookAt returns one modelview matrix. -> How the objects in the scene are translated according to the camera. In openGL you do not "Move" the camera, you are moving all the objects around the camera.
So if you have 2 objects in 0 0 0 (origin of you world camera system) and ur camera is at
eye(0,0,-3), center(0,0,0), up(0,1,0) and you want to move one object to the left and on object to the right you need to have a matrix stack from glm
std::stack<glm::mat4> glm_ProjectionMatrix;
Here you can push the modelview from your camera as top object.
For the object movemtn to the left side you can just use glm::translate, upload this mat4 as modelview matrix to your shader. (here do not render the scene)
Reset the top matrix to modelview (eiter pop() if you made a copy of the top element before) or just reset using glm::lookAt. Then glm::translate in the other direction.
In your vertex shader you now need no vec3 translate or rotate.
You just say
gl_Position = perspective * modelview *vec4(position,1);
This wil update the two object accordingly to you given translation.
If you want to move some objects around, just update the modelview matrix for the one object.
http://www.songho.ca/opengl/gl_transform.html
I hope you can understand my answer.
The basics of movement (rot and trans) in OpenGL is matrix multipication. You do not need to add some translation vec to your modelview in the shader. GLM can do all the stuff in you c++ code
Math:
Modelview is a 4*4 matrix
If your object should not be rotated or translated the modelview is equals to the identity.
If you want to rotate the object you miltiply the modelview matrix with the correct 4*4 rotation matrix (see homogenous coordinates)
If you want to translate the vertex you multiply the correct translation to the matrix
Lets say X = (x,y,z,w) is you vertex
T is translation and R is rotation
a valid operation may looks like this:
Modelview * rotation * translation *v = v'
v' is the new position of the point in your 3D coordinate system
Some examplecode you can find here: http://incentivelabs.de/Sourcecode/ See "Teil 13" or later. If you are able to understand german, you can find my tutorials on OpenGL with C++ on Youtube using the channel-name "incentivelabs"
Edit:
If I want to move an object/rotate an object using C++ with GLM
glm_ProjectionMatrix.top() = camera.getProjectionMat();
glUniformMatrix4fv(uniformLocations["projection"], 1, false,glm::value_ptr(glm_ProjectionMatrix.top()));
glm_ModelViewMatrix.top() = camera.getModelViewMat();
glm_ModelViewMatrix.top() = glm::translate(
glm_ModelViewMatrix.top(),
glm::vec3(0.0f, 0.0f, -Translate));
glUniformMatrix4fv(uniformLocations["modelview"], 1, false,glm::value_ptr(glm_ModelViewMatrix.top()));
In the GLSL vertex Shader:
gl_Position = projection * modelview * vec4(vertexPos,1);
vertexPos is an attribute (vec3 for the position)
This codes moves all vertices drawn after the upload of the modelview and projection to the shader with the same translation.

OpenGL point sprites rotation in fragment shader

I'm following this tutorial to learn something more about OpenGL and in particular point sprites. But I'm stuck on one of the exercises at the end of the page:
Try to rotate the point sprites 45 degrees by changing the fragment shader.
There are no hints about this sort of thing in the chapter, nor in the previous ones. And I didn't find any documentation on how to do it. These are my vertex and fragment shaders:
Vertex Shader
#version 140
attribute vec2 coord2d;
varying vec4 f_color;
uniform float offset_x;
uniform float scale_x;
uniform float point_size;
void main(void) {
gl_Position = vec4((coord2d.x + offset_x) * scale_x, coord2d.y, 0.0, 1.0);
f_color = vec4(coord2d.xy / 2.0 + 0.5, 1.0, 1.0);
gl_PointSize = point_size;
}
Fragment Shader
#version 140
varying vec4 f_color;
uniform sampler2D texture;
void main(void) {
gl_FragColor = texture2D(texture, gl_PointCoord) * f_color;
}
I thought about using a 2x2 matrix in the FS to rotate the gl_PointCoord, but I have no idea how to fill the matrix to accomplish it. Should I pass it directly to the FS as a uniform?
The traditional method is to pass a matrix to the shader, whether vertex or fragment. If you don't know how to fill in a rotation matrix, Google and Wikipedia can help.
The main thing is that you're going to run into is the simple fact that a 2D rotation is not enough. gl_PointCoord goes from [0, 1]. A pure rotation matrix rotates around the origin, which is the bottom-left in point-coord space. So you need more than a pure rotation matrix.
You need a 3x3 matrix, which has part rotation and part translation. This matrix should be generated as follows (using GLM for math stuff):
glm::mat4 currMat(1.0f);
currMat = glm::translate(currMat, glm::vec3(0.5f, 0.5f, 0.0f));
currMat = glm::rotate(currMat, angle, glm::vec3(0.0f, 0.0f, 1.0f));
currMat = glm::translate(currMat, glm::vec3(-0.5f, -0.5f, 0.0f));
You then pass currMat to the shader as a 4x4 matrix. Your shader does this:
vec2 texCoord = (rotMatrix * vec4(gl_PointCoord, 0, 1)).xy
gl_FragColor = texture2D(texture, texCoord) * f_color;
I'll leave it as an exercise for you as to how to move the translation from the fourth column into the third, and how to pass it as a 3x3 matrix. Of course, in that case, you'll do vec3(gl_PointCoord, 1) for the matrix multiply.
I was stuck in the same problem too, but I found a tutorial that explain how to perform a 2d texture rotation in the same fragment shader with only with passing the rotate value (vRotation).
#version 130
uniform sampler2D tex;
varying float vRotation;
void main(void)
{
float mid = 0.5;
vec2 rotated = vec2(cos(vRotation) * (gl_PointCoord.x - mid) + sin(vRotation) * (gl_PointCoord.y - mid) + mid,
cos(vRotation) * (gl_PointCoord.y - mid) - sin(vRotation) * (gl_PointCoord.x - mid) + mid);
vec4 rotatedTexture=texture2D(tex, rotated);
gl_FragColor = gl_Color * rotatedTexture;
}
Maybe this method is slow but is only to prove/show that you have an alternative to perform a texture 2D rotation inside fragment shader instead of passing a Matrix.
Note: vRotation should be in Radians.
Cheers,
You're right - a 2x2 rotation matrix will do what you want.
This page: http://www.cg.info.hiroshima-cu.ac.jp/~miyazaki/knowledge/teche31.html shows how to compute the elements. Note that you will be rotating the texture coordinates, not the vertex positions - the result will probably not be what you're expecting - it will rotate around the 0,0 texture coordinate, for example.
You may alse need to multiply the point_size by 2 and shrink the gl_PointCoord by 2 to ensure the whole texture fits into the point sprite when it's rotated. But do that as a second change. Note that a straight scale of texture coordinates move them towards the texture coordinate origin, not the middle of the sprite.
If you use a higher dimension matrix (3x3) then you will be able to combine the offset, scale and rotation into one operation.

GLSL: How to get pixel x,y,z world position?

I want to adjust the colors depending on which xyz position they are in the world.
I tried this in my fragment shader:
varying vec4 verpos;
void main(){
vec4 c;
c.x = verpos.x;
c.y = verpos.y;
c.z = verpos.z;
c.w = 1.0;
gl_FragColor = c;
}
but it seems that the colors change depending on my camera angle/position, how do i make the coords independent from my camera position/angle?
Heres my vertex shader:
varying vec4 verpos;
void main(){
gl_Position = ftransform();
verpos = gl_ModelViewMatrix*gl_Vertex;
}
Edit2: changed title, so i want world coords, not screen coords!
Edit3: added my full code
In vertex shader you have gl_Vertex (or something else if you don't use fixed pipeline) which is the position of a vertex in model coordinates. Multiply the model matrix by gl_Vertex and you'll get the vertex position in world coordinates. Assign this to a varying variable, and then read its value in fragment shader and you'll get the position of the fragment in world coordinates.
Now the problem in this is that you don't necessarily have any model matrix if you use the default modelview matrix of OpenGL, which is a combination of both model and view matrices. I usually solve this problem by having two separate matrices instead of just one modelview matrix:
model matrix (maps model coordinates to world coordinates), and
view matrix (maps world coordinates to camera coordinates).
So just pass two different matrices to your vertex shader separately. You can do this by defining
uniform mat4 view_matrix;
uniform mat4 model_matrix;
In the beginning of your vertex shader. And then instead of ftransform(), say:
gl_Position = gl_ProjectionMatrix * view_matrix * model_matrix * gl_Vertex;
In the main program you must write values to both of these new matrices. First, to get the view matrix, do the camera transformations with glLoadIdentity(), glTranslate(), glRotate() or gluLookAt() or what ever you prefer as you would normally do, but then call glGetFloatv(GL_MODELVIEW_MATRIX, &array); in order to get the matrix data to an array. And secondly, in a similar way, to get the model matrix, also call glLoadIdentity(); and do the object transformations with glTranslate(), glRotate(), glScale() etc. and finally call glGetFloatv(GL_MODELVIEW_MATRIX, &array); to get the matrix data out of OpenGL, so you can send it to your vertex shader. Especially note that you need to call glLoadIdentity() before beginning to transform the object. Normally you would first transform the camera and then transform the object which would result in one matrix that does both the view and model functions. But because you're using separate matrices you need to reset the matrix after camera transformations with glLoadIdentity().
gl_FragCoord are the pixel coordinates and not world coordinates.
Or you could just divide the z coordinate by the w coordinate, which essentially un-does the perspective projection; giving you your original world coordinates.
ie.
depth = gl_FragCoord.z / gl_FragCoord.w;
Of course, this will only work for non-clipped coordinates..
But who cares about clipped ones anyway?
You need to pass the World/Model matrix as a uniform to the vertex shader, and then multiply it by the vertex position and send it as a varying to the fragment shader:
/*Vertex Shader*/
layout (location = 0) in vec3 Position
uniform mat4 World;
uniform mat4 WVP;
//World FragPos
out vec4 FragPos;
void main()
{
FragPos = World * vec4(Position, 1.0);
gl_Position = WVP * vec4(Position, 1.0);
}
/*Fragment Shader*/
layout (location = 0) out vec4 Color;
...
in vec4 FragPos
void main()
{
Color = FragPos;
}
The easiest way is to pass the world-position down from the vertex shader via a varying variable.
However, if you really must reconstruct it from gl_FragCoord, the only way to do this is to invert all the steps that led to the gl_FragCoord coordinates. Consult the OpenGL specs, if you really have to do this, because a deep understanding of the transformations will be necessary.