16-825 HW1

Nicholas Leone (nleone)

Problem 1

Problem 1.1

Problem 1.2

Problem 2

Problem 2.1

4 vertices, 4 (triangular) faces

Problem 2.2

8 verticies, 12 (triangular) faces

Problem 3

Added both gif (left) and jpg (right) due to weird artifacts when rendering with gif. color1 = [0, 0, 1.0], color2 = [1.0, 0, 0]

Problem 4

R_relative is the rotation that rotates the camera from one frame to another frame. R_relative is applied to the camera's original rotation and translation. T_relative is the translation of the camera (with respect to the new frame). T_relative is added to the camera's original translation after it has been rotated by R_relative.

R_relative = [[0, 1, 0.0], [-1.0, -0.0, 0.0], [0.0, 0.0, 1.0]]

R_relative = [[0.0, 0, 1.0], [0, 1.0, 0.0], [-1.0, 0.0, 0.0]], T_relative= [-3.0, 0.0, 3.0]

T_relative=[0, 0, 2]

T_relative=[0.5, -0.5, 0]

Problem 5

Problem 5.1

Problem 5.2

Problem 5.3

Point clouds are more precise as typically one works with many of them but takes up more storage and does not have connectivity. Meshes on the other hand take up less storage and have connectivity between points, but are less precise.

Problem 6