this is the code I use to create and draw an ellipsoid with OpenGL with shader
const float _2pi = 2.0f * M_PI;
std::vector<glm::vec3> positions;
std::vector<glm::vec3> normals;
std::vector<glm::vec2> textureCoords;
for(int i = 0; i <= stacks; ++i) {
// V texture coordinate
float V = i / (float)stacks;
float phi = V * M_PI;
for( int j = 0; j <= slices; ++j) {
// U texture coordinate
float U = j / (float)slices;
float theta = U * _2pi;
float X = a * cos(theta) * cos(phi);
float Y = b * cos(theta) * sin(phi);
float Z = c * sin(theta);
positions.push_back( glm::vec3( X, Y, Z) );
normals.push_back( glm::vec3(X, Y, Z) );
textureCoords.push_back( glm::vec2(U, V) );
}
}
// Now generate the index buffer
std::vector<GLuint> indicies;
for(int i=0; i <slices*stacks+slices; ++i) {
indicies.push_back(i);
indicies.push_back(i + slices + 1);
indicies.push_back(i + slices);
indicies.push_back(i + slices + 1);
indicies.push_back(i);
indicies.push_back(i + 1);
}
glGenVertexArrays(1, &vao);
glBindVertexArray(vao);
glGenBuffers(4, vbo);
glBindBuffer(GL_ARRAY_BUFFER, vbo[0]);
glBufferData(GL_ARRAY_BUFFER, positions.size() * sizeof(glm::vec3), positions.data(), GL_STATIC_DRAW);
glVertexAttribPointer(0, 3, GL_FLOAT, GL_FALSE, 0, nullptr);
glEnableVertexAttribArray(0);
glBindBuffer(GL_ARRAY_BUFFER, vbo[1]);
glBufferData(GL_ARRAY_BUFFER, normals.size() * sizeof(glm::vec3), normals.data(), GL_STATIC_DRAW);
glVertexAttribPointer(2, 3, GL_FLOAT, GL_TRUE, 0, nullptr);
glEnableVertexAttribArray(2);
glBindBuffer(GL_ARRAY_BUFFER, vbo[2]);
glBufferData(GL_ARRAY_BUFFER, textureCoords.size() * sizeof(glm::vec2), textureCoords.data(), GL_STATIC_DRAW);
glVertexAttribPointer(8, 2, GL_FLOAT, GL_FALSE, 0, nullptr);
glEnableVertexAttribArray(8);
glBindBuffer( GL_ELEMENT_ARRAY_BUFFER, vbo[3]);
glBufferData( GL_ELEMENT_ARRAY_BUFFER, indicies.size() * sizeof(GLuint), indicies.data(), GL_STATIC_DRAW);
glBindVertexArray(0);
glBindBuffer(GL_ARRAY_BUFFER, 0);
glBindBuffer(GL_ELEMENT_ARRAY_BUFFER, 0);
while this is the code that I use to render it:
glBindVertexArray(vao);
glEnableVertexAttribArray(0);
if(style == glObject::STYLE::WIREFRAME) glDrawElements(GL_LINES, (slices * stacks + slices) * 6, GL_UNSIGNED_INT, nullptr);
if(style == glObject::STYLE::SOLID) glDrawElements(GL_TRIANGLES, (slices * stacks + slices) * 6, GL_UNSIGNED_INT, nullptr);
glBindVertexArray(0);
It seems to work but I have some issue. Looking the image it is possible to see some vertex in the wrong position. I think that is something related to the indicies but I'm not sure. I have notice that depends by the number of stacks or slices that I use
UPDATE:
I take into account the suggestion of @Rabbid76 and this is the result. No more degenerated vertex and triangles in the rendering. However the rendering is not equal to the one of @Rabbid76 there is like a rotation of the vertex.
FINAL:
This is the creation vertex and indices code:
std::vector<glm::vec3> positions;
std::vector<glm::vec3> normals;
std::vector<glm::vec2> textureCoords;
for(int i = 0; i <= stacks; ++i) {
// V texture coordinate.
float V = i / (float)stacks;
float phi = V * M_PI;
for( int j = 0; j <= slices; ++j) {
// U texture coordinate.
float U = j / (float)slices;
float theta = U * 2.0f * M_PI;
float X = cos(theta) * sin(phi);
float Y = cos(phi);
float Z = sin(theta) * sin(phi);
positions.push_back( glm::vec3( X, Y, Z) * radius );
normals.push_back( glm::vec3(X, Y, Z) );
textureCoords.push_back( glm::vec2(U, V) );
}
}
// Now generate the index buffer
std::vector<GLuint> indicies;
int noPerSlice = slices + 1;
for(int i=0; i < stacks; ++i) {
for (int j=0; j < slices; ++j) {
int start_i = (i * noPerSlice) + j;
indicies.push_back( start_i );
indicies.push_back( start_i + noPerSlice + 1 );
indicies.push_back( start_i + noPerSlice );
indicies.push_back( start_i + noPerSlice + 1 );
indicies.push_back( start_i );
indicies.push_back( start_i + 1 );
}
}
glGenVertexArrays(1, &vao);
glBindVertexArray(vao);
glGenBuffers(4, vbo);
glBindBuffer(GL_ARRAY_BUFFER, vbo[0]);
glBufferData(GL_ARRAY_BUFFER, positions.size() * sizeof(glm::vec3), positions.data(), GL_STATIC_DRAW);
glVertexAttribPointer(0, 3, GL_FLOAT, GL_FALSE, 0, nullptr);
glEnableVertexAttribArray(0);
glBindBuffer(GL_ARRAY_BUFFER, vbo[1]);
glBufferData(GL_ARRAY_BUFFER, normals.size() * sizeof(glm::vec3), normals.data(), GL_STATIC_DRAW);
glVertexAttribPointer(2, 3, GL_FLOAT, GL_TRUE, 0, nullptr);
glEnableVertexAttribArray(2);
glBindBuffer(GL_ARRAY_BUFFER, vbo[2]);
glBufferData(GL_ARRAY_BUFFER, textureCoords.size() * sizeof(glm::vec2), textureCoords.data(), GL_STATIC_DRAW);
glVertexAttribPointer(8, 2, GL_FLOAT, GL_FALSE, 0, nullptr);
glEnableVertexAttribArray(8);
glBindBuffer(GL_ELEMENT_ARRAY_BUFFER, vbo[3]);
glBufferData(GL_ELEMENT_ARRAY_BUFFER, indicies.size() * sizeof(GLuint), indicies.data(), GL_STATIC_DRAW);
glBindVertexArray(0);
glBindBuffer(GL_ARRAY_BUFFER, 0);
glBindBuffer(GL_ELEMENT_ARRAY_BUFFER, 0);
This is the rendering one:
glBindVertexArray(vao);
glEnableVertexAttribArray(0);
if(style == glObject::STYLE::WIREFRAME) glPolygonMode(GL_FRONT_AND_BACK, GL_LINE);
if(style == glObject::STYLE::SOLID) glPolygonMode(GL_FRONT_AND_BACK, GL_FILL);
glDrawElements(GL_TRIANGLES, (slices * stacks + slices) * 6, GL_UNSIGNED_INT, nullptr);
glBindVertexArray(0);
You have confused phi
and theta
. theta
is the angle of the points around the circumference of a slice in range [0, 2*PI]. phi
is the angle of the points form the south to the north in range [-PI, PI]:
for (int i = 0; i <= stacks; ++i) {
// V texture coordinate
float V = i / (float)stacks;
float phi = V * M_PI - M_PI/2.0;
for ( int j = 0; j <= slices; ++j) {
// U texture coordinate
float U = j / (float)slices;
float theta = U * _2pi;
float X = a * cos(phi) * cos(theta);
float Y = b * cos(phi) * sin(theta);
float Z = c * sin(phi);
positions.push_back( glm::vec3( X, Y, Z) );
normals.push_back( glm::vec3(X, Y, Z) );
textureCoords.push_back( glm::vec2(U, V) );
}
}
The number of points of a slice (around the circumference) is noPerSlice = slices + 1
. The first index of a point of a quad is start_i = (i * noPerSlice) + j
, where i
is the index of the stack and j
the index around the slice. Create slices
quads around the circumference and stacks
slices form the south to the north:
int noPerSlice = slices + 1;
for(int i=0; i < stacks; ++i) {
for (int j = 0; j < slices; ++j) {
int start_i = (i * noPerSlice) + j;
indicies.push_back( start_i );
indicies.push_back( start_i + noPerSlice + 1 );
indicies.push_back( start_i + noPerSlice );
indicies.push_back( start_i + noPerSlice + 1 );
indicies.push_back( start_i );
indicies.push_back( start_i + 1 );
}
}