Projection Matrices in Computer Graphics

What is the primary purpose of a projection matrix in computer graphics?

• To perform 3D object modeling

• To convert 3D coordinates into a 2D representation for display

• To apply textures to 3D models

• To animate 3D objects

Which type of projection matrix simulates human vision by making distant objects appear smaller?

• Orthographic projection

• Perspective projection

• Isometric projection

• Parallel projection

In OpenGL, which function is used to generate a perspective projection matrix?

• glm::lookAt()

• glm::ortho()

• glm::perspective()

• glm::translate()

Which of the following is not a characteristic of an orthographic projection matrix?

• Maintains parallel lines

• Simulates depth perception

• Commonly used in CAD software

• Does not shrink distant objects

What are the required parameters for defining a perspective projection matrix?

• Left, right, top, bottom, near, far

• Field of View (FOV), aspect ratio, near, far

• Eye position, target position, up vector

• Translation, rotation, scaling

The look-at matrix is mainly used for:

• Object rotation

• Setting up the camera view in 3D space

• Scaling objects in a scene

• Applying texture mapping

In a look-at matrix, what does the "eye" represent?

• The target position

• The upward direction

• The camera's position in world space

• The field of view

Which function in OpenGL is used to generate a look-at matrix?

• glm::perspective()

• glm::ortho()

• glm::lookAt()

• glm::rotate()

How is the forward vector f calculated in a look-at matrix?

• Normalize(center - eye)

• Normalize(eye - center)

• Cross product of center and up vector

• Cross product of eye and center

The up vector in a look-at matrix is typically set to which default value?

• [1, 0, 0]

• [0, 1, 0]

• [0, 0, 1]

• [-1, 0, 0]