Computer Graphics_Week 8

What is the main purpose of a coordinate system?

• To define object color

• To provide a reference for locating points and vectors

• To calculate object lighting

• To define camera position

What does a frame consist of?

• Only basis vectors

• Basis vectors and an origin point

• Only the origin

• Two or more coordinate systems

In computer graphics, why do we need a frame of reference?

• To compute object brightness

• To relate geometric entities to the physical world

• To reduce rendering time

• To store texture information

A vector can be placed anywhere because:

• It has a fixed location

• It has direction but no fixed position

• It is a point in space

• It depends on the frame

What is linear independence in the context of basis vectors?

• All vectors are equal

• Each vector can be written as a combination of others

• No vector can be expressed as a combination of others

• Vectors are parallel

The dimension of a vector space refers to:

• Number of points in a space

• Number of basis vectors

• Number of frames

• Number of coordinate systems

Without a coordinate system, a point’s position cannot be:

• Described uniquely

• Drawn on screen

• Translated

• Rotated

The representation of a vector depends on:

• The coordinate system used

• The object’s color

• The lighting model

• The display resolution

Which statement is true about points and vectors?

• Both have fixed locations

• Points are fixed; vectors are not

• Both are free to move

• Points and vectors are the same

A coordinate system alone cannot represent:

• Points

• Vectors

• Directions

• Axes