## CS4182 Mid-term Quiz

1. In the lecture, we learned the line clipping algorithm, in which the clipping region is a rectangular in 2D space. Please show the main idea for extending this algorithm in 3D space, i.e., clipping a line against a 3D cubic.
1. Describe what transformation the matrix M performs when applied to 3D points.
1. Briefly describe the main differences among computer graphics, image processing, and computer vision & image analysis.
1. ### Write out the following three transformation matrices with homogeneous coordinates: 计算机图形学代写

𝑨: translation along the vector 𝒗 =(4, 0,2)

𝑩: rotation 30 degrees around the 𝑧-axis.

𝑪: non-uniform scaling with 2 in

𝑥𝑥-axis, 3 in 𝑦-axis and 4 in 𝑧-axis

1. As shown in Fig. 2,

(a) Assume the 3D plane has the uniform diffuse reflection property. If the light source is a directional light source, what is relationship between the diffuse reflections at points A and B? Please justify your answer 计算机图形学代写

(b) Assume the 3D plane has the uniform diffuse reflection property. If the light source is a point light source, what is relationship between the diffuse reflections at points A and B? Please justify your answer.

(c) Assume the 3D plane is a glossy surface. If the light source is a point light source, what is the relationship between the specular reflections at point B observed by viewers 1 and 2? Please justify your answer.

6. Which of the following scenes would cause problems for the painter’s algorithm? Please justify your answer and suggest a method to address the issue.

(These drawing are in image space; each rectangle is a single primitive)

9.List four types of representations of 3D objects

10.What are homogeneous coordinates? And why are they introduced in transformations?

11.List all stages involved in the rendering pipeline.

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