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<meta charset="utf-8" emacsmode="-*- markdown -*">
**CMSC848F - Assignment 1: Rendering Basics with PyTorch3D**
Name: Omkar Chittar
UID: 119193556
## **Rendering your first mesh**
Practicing with Cameras
===============================================================================
360-degree Renders
-------------------------------------------------------------------------------
Re-creating the Dolly Zoom
-------------------------------------------------------------------------------
Practicing with Meshes
===============================================================================
Constructing a Tetrahedron
-------------------------------------------------------------------------------
number of vertices = 4.
vertices = {[sqrt(8/9),0,-1/3], [-sqrt(2/9),sqrt(2/3),-1/3], [-sqrt(2/9), -sqrt(2/3),-1/3], [0,0,1]}.
number of triangular faces = 4.
faces = {[3, 0, 2], [3, 1, 0], [3, 2, 1], [0, 1, 2]}.
Constructing a Cube
-------------------------------------------------------------------------------
number of vertices = 8.
vertices = {[-0.5, -0.5, 0.5], [0.5, -0.5, 0.5], [0.5, -0.5, -0.5], [-0.5, -0.5, -0.5],
[-0.5, 0.5, 0.5], [0.5, 0.5, 0.5], [0.5, 0.5, -0.5], [-0.5, 0.5, -0.5]}.
number of triangular faces = 16.
faces = {[0, 4, 1], [1, 4, 5], [1, 5, 2], [2, 5, 6], [2, 6, 3], [3, 6, 7],
[7, 0, 3], [7, 4, 0],[4, 6, 5], [4, 7, 6], [0, 1, 2], [0, 2, 3]}.
Re-texturing a mesh
===============================================================================
color1 = [1, 0, 1]
color2 = [1, 1, 0]
Camera Transformations
===============================================================================
R_relative: Changes the orientation wrt previous orientation.
T_relative: Change in position wrt previous position.
*Assumptions:*
Red: X-axis
Green: Y-axis
Blue: Z-axis
Relative rotation of +90 deg about z axis only
-------------------------------------------------------------------------------
R_relative=[[0, -1, 0], [1, 0, 0], [0, 0, 1]]
T_relative=[0, 0, 0]
Relative translation about +z axis only
-------------------------------------------------------------------------------
R_relative=[[1, 0, 0], [0, 1, 0], [0, 0, 1]]
T_relative=[0, 0, 3]
Relative translation about +x and -y axis
-------------------------------------------------------------------------------
R_relative=[[1, 0, 0], [0, 1, 0], [0, 0, 1]]
T_relative=[0.5, -0.5, 0]
Relative rotation of -90 deg about y axis and Relative translation about +x, and +z axis
-------------------------------------------------------------------------------
R_relative=[[0, 0, -1], [0, 1, 0], [1, 0, 0]]
T_relative=[3, 0, 3]
Rendering Generic 3D Representations
===============================================================================
Rendering Point Clouds from RGB-D Images
-------------------------------------------------------------------------------
![The point cloud corresponding to the first image](360_pointcloud_plant1.gif width="200px") ![The point cloud corresponding to the second image](360_pointcloud_plant2.gif width="200px") ![The point cloud formed by the union of the first 2 point clouds](360_pointcloud_plant3.gif width="200px")
Parametric Functions
-------------------------------------------------------------------------------
![Number of samples = 100](parametric_torus_100.gif width="200px")![Number of samples = 1000](parametric_torus_1000.gif width="200px")
Implicit Surfaces
-------------------------------------------------------------------------------
Trade-offs between rendering as a mesh vs a point cloud
===============================================================================
Features | Point Cloud | Mesh
-----------------|------------------------------|-------------------------------
Rendering Speed |Rendering speed is high as only vertices are rendered |Low Rendering speed as vertices as well as faces are rendered
Rendering quality|Lower Rendering Quality of point cloud for same number of vertices. |High rendering Quality as meshes are represented as continuous surfaces.
Ease of use |Easy to use as it has only surface vertices and their respective normals & colors. |Connectivity, intersecting surfaces etc. make meshes difficult to use for complicated surfaces.
Memory Usage |Low memory consumption. |High memory consumption.
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