Assignment 1: Rendering Basics with PyTorch3D (Total: 100 Points + 10 Bonus)

Name: Riu Cherdchusakulchai Andrew ID: rcherdch

1. Practicing with Cameras (15 Points)

1.1. 360-degree Renders (5 points)

COW360

1.2 Re-creating the Dolly Zoom (10 points)

Dolly zoom

2. Practicing with Meshes (10 Points)

2.1 Constructing a Tetrahedron (5 points)

tetra

2.2 Constructing a Cube (5 points)

cube

3. Re-texturing a mesh (10 points)

color cow

I choose yellow (color1 = [1,1,0]) and cyan (color2 = [0,1,1]) to re-texture the mesh.

4. Camera Transformations (10 points)

1. Rotate camera by 90° around the z-axis

cow1

2. Move camera 2 units away from the cow along the z-axis

cow1

3. Move camera 1 units along the x-axis

cow1

4. Rotate camera by -90° around the y-axis and then move -3 units along the x-axis and 3 units along the z-axis

cow1

5. Rendering Generic 3D Representations (45 Points)

5.1 Rendering Point Clouds from RGB-D Images (10 points)

1. The point cloud corresponding to the first image

pc1

2. The point cloud corresponding to the second image

pc2

3. The point cloud formed by the union of the first 2 point clouds.

pc3

5.2 Parametric Functions (10 + 5 points)

1. Torus

torus

2. Klein Bottle

kelin

5.3 Implicit Surfaces (15 + 5 points)

1. Torus

torus_mesh

2. Tradeoffs between rendering as a mesh vs a point cloud

Point clouds offer high accuracy because they capture the precise 3D coordinates of each measured point, but they can be hard to render and manage due to their large size and unstructured nature. Conversely, meshes are far more efficient for rendering and easier to manipulate. Meshes also can be textured and shaded, resulting in a more realistic representation.

3. Gyroid

gyroid

6. Do Something Fun (10 points)

I downloaded the human mesh model from Free3D. I applied textures to the mesh and rendered the object from different angles, with varying fields of view (FOV), and at different distances along the camera path.

gyroid

(Extra Credit) 7. Sampling Points on Meshes (10 points)

Renders of a point cloud: The image shows a cow mesh, with its point cloud randomly sampled at 10, 100, 1,000, and 10,000 points. The original cow mesh is on the far right.

gyroid