L3D - Assignment 1

Andrew ID: rajathc

Task 1: Practicing with Cameras (15 Points)

1.1: 360-degree Renders (5 points)

1.2 Re-creating the Dolly Zoom (10 points)

Task 2: Practicing with Meshes (10 Points)

2.1 Constructing a Tetrahedron (5 points)

My Tetrahedron has 4 vertices and 4 faces.

2.2 Constructing a Cube (5 points)

My Cube has 8 vertices and 12 faces.

Task 3: Re-texturing a mesh (10 points)

color1 = [0, 0, 1] and color2 = [1, 0, 0].

Task 4: Camera Transformations (10 points)

4.1

R_relative - Need to rotate -90 degree about Z-axis.
T_relative - No change.

4.2

R_relative - No change.
T_relative - Need to move away on Z-axis.

4.3

R_relative - No change.
T_relative - Need to move away on X-axis.

4.4

R_relative - Need to rotate 90 degree about Y-axis.
T_relative - Need to also move the camera in the X and Z-Axis.

Task 5: Rendering Generic 3D Representations (45 Points)

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

5.2 Parametric Functions (10 + 5 points)

Parametric Torus:

Parametric Ellipsoid:

5.3 Implicit Surfaces (15 + 5 points)

Implicit Surface Torus:

Tradeoffs between rendering as a mesh vs a point cloud:

• Rendering speed: Rendering meshes is faster as GPUs are specifically designed for rasterization.
• Rendering quality: Meshes are higher quality with smooth surfaces and support for lighting/shading effects.
• Ease of use: Point clouds are easier to work with as we don't have to worry about vertex connectivity like in meshes.
• Memory usage: For the same number of vertices, point clouds need to store less data as they do not need to save faces like meshes.

Implicit Surface Ellipsoid:

Task 6: Do Something Fun (10 points)

Added some sunglasses to the cow. Sunglasses were scaled, rotated and translated.

Task 7: (Extra Credit) Sampling Points on Meshes (10 points)