Corinne Alini HW 1

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Question 1.1: 360-degree Render

Question 1.1

Question 1.2: Re-creating the Dolly Zoom

Question 1.2

Question 2.1: Constructing a Tetrahedron

The tetrahedron has 4 faces and 4 vertices

Question 2.1

Question 2.2: Constructing a Cube

The cube has 12 faces and 8 vertices

Question 2.2

Question 3: Re-texturing a mesh

My choice of colors were blue and red ie: color1 = [1.0,0.0,0.0], color2 = [0.0,0.0,1.0]

Question 3

Question 4: Camera Transformations

This transform is rotating the camera -90 degrees along the z-axis

R_relative=[[0, 1, 0], [-1, 0, 0], [0, 0, 1]] T_relative=[0, 0, 0]

Question 4, t1

This is translating the camera 2 units along the z-axis

R_relative=[[1, 0, 0], [0, 1, 0], [0, 0, 1]] T_relative=[0, 0, 2]

Question 4, t3

This is translating the camera in both the 0.5 along x and 0.5 along y axis

R_relative = [[1, 0, 0], [0, 1, 0], [0, 0, 1]] T_relative = [0.5, -0.5, 0]

Question 4, t4

This transformation is rotating the camera 90 along the y axis and translating it to the center in both x and z

R_relative=[[0,0,1], [0, 1, 0], [-1, 0, 0]] T_relative=[-3,0,3]

Question 4, t2

Question 5.1: Rendering Point Clouds from RGB-D Images

Question 5.1, plant1 Question 5.1, plant2 Question 5.1, plant union

Question 5.2: Parametric Functions

Question 5.2

Question 5.3: Implicit Surfaces

Some of the tradeoffs are that rendering a point cloud is significantly faster than rendering a mesh. This is because there are fewer things to render and it doesn't need connectivity information. Point cloud is easier and more memory efficient. However, it does not contain connectivity information making it harder to transform and work with in that respect.

Question 5.2

Question 6: Creativity

This is a bouncing heart that changes colors when it hits the bottom

Question 6

Question 7: Sampling Points on Meshes

Sample = 10

Question 7original Question 7 10

Sample = 100

Question 7original Question 7 100

Sample = 1000

Question 7original Question 7 1000

Sample = 10000

Question 7original Question 7 10000