Videos about 3D graphics, geometry, and topology from CMU Computer Science & Robotics professor Keenan Crane. Check out everything from cutting-edge research, to lectures and tutorials that start from scratch.

Tired of boring old dice? Roll some dragons and armadillos!
1:17
Tired of boring old dice? Roll some dragons and armadillos!
Ray Tracing Harmonic Functions (Supplemental Video)
2:01
Ray Tracing Harmonic Functions (Supplemental Video)
Repulsive Shells - Conference Presentation
11:16
Repulsive Shells - Conference Presentation
Repulsive Shells — SIGGRAPH 2024 Supplemental Video
3:14
Repulsive Shells — SIGGRAPH 2024 Supplemental Video
Monte Carlo Geometry Processing
52:04
Monte Carlo Geometry Processing
Turning a Torus Inside-Out (Punctured Torus Eversion)
6:37
Turning a Torus Inside-Out (Punctured Torus Eversion)
Mathematical Magic: Undoing Handcuffs
1:51
Mathematical Magic: Undoing Handcuffs
What's the nicest way to draw a shape with many holes?
0:39
What's the nicest way to draw a shape with many holes?
Mathematical Magic: Unlinking a Pair of Handcuffs
1:53
Mathematical Magic: Unlinking a Pair of Handcuffs
Repulsive Surfaces - paper video
5:41
Repulsive Surfaces - paper video
Repulsive Shape Optimization
53:02
Repulsive Shape Optimization
Repulsive Curves
4:02
Repulsive Curves
End of Winter (1997)
2:07
End of Winter (1997)
Discrete Conformal Equivalence of Polyhedral Surfaces - Fast Forward
0:30
Discrete Conformal Equivalence of Polyhedral Surfaces - Fast Forward
Behind the Scenes: Teaser Image for Discrete Conformal Equivalence of Polyhedral Surfaces
0:32
Behind the Scenes: Teaser Image for Discrete Conformal Equivalence of Polyhedral Surfaces
Geometry Processing with Intrinsic Triangulations (Day II)
54:42
Geometry Processing with Intrinsic Triangulations (Day II)
Geometry Processing with Intrinsic Triangulations (Day I)
58:58
Geometry Processing with Intrinsic Triangulations (Day I)
Lecture 11: Discrete Curves (Discrete Differential Geometry)
1:08:40
Lecture 11: Discrete Curves (Discrete Differential Geometry)
Lecture 12: Smooth Surfaces I (Discrete Differential Geometry)
1:20:43
Lecture 12: Smooth Surfaces I (Discrete Differential Geometry)
Lecture 10: Smooth Curves (Discrete Differential Geometry)
1:34:25
Lecture 10: Smooth Curves (Discrete Differential Geometry)
Supplemental: Vector-Valued Differential Forms (Discrete Differential Geometry)
25:41
Supplemental: Vector-Valued Differential Forms (Discrete Differential Geometry)
Lecture 9: Discrete Exterior Calculus (Discrete Differential Geometry)
1:09:10
Lecture 9: Discrete Exterior Calculus (Discrete Differential Geometry)
Lecture 8: Discrete Differential Forms (Discrete Differential Geometry)
1:09:05
Lecture 8: Discrete Differential Forms (Discrete Differential Geometry)
Lecture 7: Integration (Discrete Differential Geometry)
57:18
Lecture 7: Integration (Discrete Differential Geometry)
Lecture 6: Exterior Derivative (Discrete Differential Geometry)
1:04:22
Lecture 6: Exterior Derivative (Discrete Differential Geometry)
Lecture 5: Differential Forms (Discrete Differential Geometry)
45:20
Lecture 5: Differential Forms (Discrete Differential Geometry)
Lecture 4: k-Forms (Discrete Differential Geometry)
55:14
Lecture 4: k-Forms (Discrete Differential Geometry)
Lecture 3: Exterior Algebra (Discrete Differential Geometry)
1:02:16
Lecture 3: Exterior Algebra (Discrete Differential Geometry)
Lecture 2A: What is a Mesh? (Discrete Differential Geometry)
58:03
Lecture 2A: What is a Mesh? (Discrete Differential Geometry)
Lecture 2B: Introduction to Manifolds (Discrete Differential Geometry)
47:44
Lecture 2B: Introduction to Manifolds (Discrete Differential Geometry)