Канал: Keenan Crane

Ray Tracing Harmonic Functions (Supplemental Video)

Ray Tracing Harmonic Functions (Supplemental Video)

Repulsive Shells - Conference Presentation

Repulsive Shells - Conference Presentation

Repulsive Shells — SIGGRAPH 2024 Supplemental Video

Repulsive Shells — SIGGRAPH 2024 Supplemental Video

Monte Carlo Geometry Processing

Monte Carlo Geometry Processing

Turning a Torus Inside-Out (Punctured Torus Eversion)

Turning a Torus Inside-Out (Punctured Torus Eversion)

Mathematical Magic: Undoing Handcuffs

Mathematical Magic: Undoing Handcuffs

What's the nicest way to draw a shape with many holes?

What's the nicest way to draw a shape with many holes?

Mathematical Magic: Unlinking a Pair of Handcuffs

Mathematical Magic: Unlinking a Pair of Handcuffs

Repulsive Surfaces - paper video

Repulsive Surfaces - paper video

Repulsive Shape Optimization

Repulsive Shape Optimization

Repulsive Curves

Repulsive Curves

End of Winter (1997)

End of Winter (1997)

Discrete Conformal Equivalence of Polyhedral Surfaces - Fast Forward

Discrete Conformal Equivalence of Polyhedral Surfaces - Fast Forward

Behind the Scenes: Teaser Image for "Discrete Conformal Equivalence of Polyhedral Surfaces"

Behind the Scenes: Teaser Image for "Discrete Conformal Equivalence of Polyhedral Surfaces"

Geometry Processing with Intrinsic Triangulations (Day II)

Geometry Processing with Intrinsic Triangulations (Day II)

Geometry Processing with Intrinsic Triangulations (Day I)

Geometry Processing with Intrinsic Triangulations (Day I)

Lecture 11: Discrete Curves (Discrete Differential Geometry)

Lecture 11: Discrete Curves (Discrete Differential Geometry)

Lecture 12: Smooth Surfaces I (Discrete Differential Geometry)

Lecture 12: Smooth Surfaces I (Discrete Differential Geometry)

Lecture 10: Smooth Curves (Discrete Differential Geometry)

Lecture 10: Smooth Curves (Discrete Differential Geometry)

Supplemental: Vector-Valued Differential Forms (Discrete Differential Geometry)

Supplemental: Vector-Valued Differential Forms (Discrete Differential Geometry)

Lecture 9: Discrete Exterior Calculus (Discrete Differential Geometry)

Lecture 9: Discrete Exterior Calculus (Discrete Differential Geometry)

Lecture 8: Discrete Differential Forms (Discrete Differential Geometry)

Lecture 8: Discrete Differential Forms (Discrete Differential Geometry)

Lecture 7: Integration (Discrete Differential Geometry)

Lecture 7: Integration (Discrete Differential Geometry)

Lecture 6: Exterior Derivative (Discrete Differential Geometry)

Lecture 6: Exterior Derivative (Discrete Differential Geometry)

Lecture 5: Differential Forms (Discrete Differential Geometry)

Lecture 5: Differential Forms (Discrete Differential Geometry)

Lecture 4: k-Forms (Discrete Differential Geometry)

Lecture 4: k-Forms (Discrete Differential Geometry)

Lecture 3: Exterior Algebra (Discrete Differential Geometry)

Lecture 3: Exterior Algebra (Discrete Differential Geometry)

Lecture 2A: What is a "Mesh?" (Discrete Differential Geometry)

Lecture 2A: What is a "Mesh?" (Discrete Differential Geometry)

Lecture 2B: Introduction to Manifolds (Discrete Differential Geometry)

Lecture 2B: Introduction to Manifolds (Discrete Differential Geometry)

Lecture 1: Overview (Discrete Differential Geometry)

Lecture 1: Overview (Discrete Differential Geometry)

Discrete Differential Geometry - Welcome Video

Discrete Differential Geometry - Welcome Video

Computer Graphics - Student Creations! (CMU 15-462/662)

Computer Graphics - Student Creations! (CMU 15-462/662)

Lecture 23: Physically Based Animation and PDEs (CMU 15-462/662)

Lecture 23: Physically Based Animation and PDEs (CMU 15-462/662)

Lecture 11: Digital Geometry Processing (CMU 15-462/662)

Lecture 11: Digital Geometry Processing (CMU 15-462/662)

Lecture 10: Meshes and Manifolds (CMU 15-462/662)

Lecture 10: Meshes and Manifolds (CMU 15-462/662)

Lecture 09: Introduction to Geometry (CMU 15-462/662)

Lecture 09: Introduction to Geometry (CMU 15-462/662)

Lecture 08: Depth and Transparency (CMU 15-462/662)

Lecture 08: Depth and Transparency (CMU 15-462/662)

Lecture 07: Perspective Projection and Texture Mapping (CMU 15-462/662)

Lecture 07: Perspective Projection and Texture Mapping (CMU 15-462/662)

Lecture 06: 3D Rotations and Complex Representations (CMU 15-462/662)

Lecture 06: 3D Rotations and Complex Representations (CMU 15-462/662)

Lecture 05: Spatial Transformations (CMU 15-462/662)

Lecture 05: Spatial Transformations (CMU 15-462/662)

Lecture 22: Optimization (CMU 15-462/662)

Lecture 22: Optimization (CMU 15-462/662)

Lecture 21: Dynamics and Time Integration (CMU 15-462/662)

Lecture 21: Dynamics and Time Integration (CMU 15-462/662)

Lecture 20: Introduction to Animation (CMU 15-462/662)

Lecture 20: Introduction to Animation (CMU 15-462/662)

Lecture 19: Variance Reduction (CMU 15-462/662)

Lecture 19: Variance Reduction (CMU 15-462/662)

Lecture 18: Monte Carlo Rendering (CMU 15-462/662)

Lecture 18: Monte Carlo Rendering (CMU 15-462/662)

Lecture 17: Numerical Integration (CMU 15-462/662)

Lecture 17: Numerical Integration (CMU 15-462/662)

Lecture 16: The Rendering Equation (CMU 15-462/662)

Lecture 16: The Rendering Equation (CMU 15-462/662)

Lecture 15: Radiometry (CMU 15-462/662)

Lecture 15: Radiometry (CMU 15-462/662)

Lecture 14: Color (CMU 15-462/662)

Lecture 14: Color (CMU 15-462/662)

Lecture 13: Spatial Data Structures (CMU 15-462/662)

Lecture 13: Spatial Data Structures (CMU 15-462/662)

Lecture 12: Geometric Queries (CMU 15-462/662)

Lecture 12: Geometric Queries (CMU 15-462/662)

Lecture 04: Drawing a Triangle and an Intro to Sampling (CMU 15-462/662)

Lecture 04: Drawing a Triangle and an Intro to Sampling (CMU 15-462/662)

Lecture 03: Vector Calculus (P)Review (CMU 15-462/662)

Lecture 03: Vector Calculus (P)Review (CMU 15-462/662)

Lecture 02: Linear Algebra (P)Review (CMU 15-462/662)

Lecture 02: Linear Algebra (P)Review (CMU 15-462/662)

Lecture 01: Course Overview (CMU 15-462/662)

Lecture 01: Course Overview (CMU 15-462/662)

Computer Graphics (CMU 15-462/662): Welcome Video

Computer Graphics (CMU 15-462/662): Welcome Video

Penrose: From Mathematical Notation to Beautiful Diagrams

Penrose: From Mathematical Notation to Beautiful Diagrams

Monte Carlo Geometry Processing — Fast Forward (SIGGRAPH 2020)

Monte Carlo Geometry Processing — Fast Forward (SIGGRAPH 2020)

Lecture 20: Geodesics (Discrete Differential Geometry)

Lecture 20: Geodesics (Discrete Differential Geometry)

Lecture 18: The Laplace Operator (Discrete Differential Geometry)

Lecture 18: The Laplace Operator (Discrete Differential Geometry)

Lecture 17: Discrete Curvature II (Discrete Differential Geometry)

Lecture 17: Discrete Curvature II (Discrete Differential Geometry)

Lecture 16: Discrete Curvature I (Discrete Differential Geometry)

Lecture 16: Discrete Curvature I (Discrete Differential Geometry)

Lecture 14: Discrete Surfaces (Discrete Differential Geometry)

Lecture 14: Discrete Surfaces (Discrete Differential Geometry)

Lecture 13: Smooth Surfaces II (Discrete Differential Geometry)

Lecture 13: Smooth Surfaces II (Discrete Differential Geometry)

Lecture 15: Curvature of Surfaces (Discrete Differential Geometry)

Lecture 15: Curvature of Surfaces (Discrete Differential Geometry)

Symmetric Moving Frames — 30 second teaser

Symmetric Moving Frames — 30 second teaser

Heat Methods in Geometry Processing

Heat Methods in Geometry Processing

Optimal Cone Singularities for Conformal Flattening

Optimal Cone Singularities for Conformal Flattening

Developability of Triangle Meshes

Developability of Triangle Meshes

Variational Surface Cutting

Variational Surface Cutting

Boundary First Flattening — Tutorial Video

Boundary First Flattening — Tutorial Video

Discrete Differential Geometry and Developability

Discrete Differential Geometry and Developability

Discrete Conformal Isotopy of Masks

Discrete Conformal Isotopy of Masks

Stripe Patterns on Surfaces

Stripe Patterns on Surfaces

Edge Dislocation Dynamics on a Bunny

Edge Dislocation Dynamics on a Bunny

Robust Fairing via Conformal Curvature Flow

Robust Fairing via Conformal Curvature Flow

The Heat Method for Distance Computation

The Heat Method for Distance Computation

Globally Optimal Direction Fields

Globally Optimal Direction Fields

SIGGRAPH 2013: Surfaces and Differential Geometry (Introduction)

SIGGRAPH 2013: Surfaces and Differential Geometry (Introduction)

The Heat Method for Distance Computation - Fast Forward

The Heat Method for Distance Computation - Fast Forward

Why Animals Don't Have Handles

Why Animals Don't Have Handles

Conformal Willmore Flow

Conformal Willmore Flow

Discrete Differential Geometry - Helping Machines (and People) Think Clearly about Shape

Discrete Differential Geometry - Helping Machines (and People) Think Clearly about Shape

Lie Group Integrators for Animation and Control of Vehicles - SIGGRAPH Fast Forward

Lie Group Integrators for Animation and Control of Vehicles - SIGGRAPH Fast Forward

Spin Transformations of Discrete Surfaces - SIGGRAPH Fast Forward

Spin Transformations of Discrete Surfaces - SIGGRAPH Fast Forward

Spin Transformations of Discrete Surfaces - Conference Presentation

Spin Transformations of Discrete Surfaces - Conference Presentation

Conformal Willmore Flow on a Rhino Head

Conformal Willmore Flow on a Rhino Head

Trivial Connections on Discrete Surfaces - Talk (2/2)

Trivial Connections on Discrete Surfaces - Talk (2/2)

Trivial Connections on Discrete Surfaces - Talk (1/2)

Trivial Connections on Discrete Surfaces - Talk (1/2)

Real time editing of a surface vector field using discrete connections

Real time editing of a surface vector field using discrete connections

Lie Group Integrators for Animation and Control of Vehicles - Talk (4/4)

Lie Group Integrators for Animation and Control of Vehicles - Talk (4/4)

Lie Group Integrators for Animation and Control of Vehicles - Talk (3/4)

Lie Group Integrators for Animation and Control of Vehicles - Talk (3/4)

Lie Group Integrators for Animation and Control of Vehicles - Talk (2/4)

Lie Group Integrators for Animation and Control of Vehicles - Talk (2/4)

Lie Group Integrators for Animation and Control of Vehicles - Talk (1/4)

Lie Group Integrators for Animation and Control of Vehicles - Talk (1/4)

Energy-Preserving Integrators for Fluid Animation

Energy-Preserving Integrators for Fluid Animation

Physically-based animation of a helicopter using a Lie Group Integrator and optimal control

Physically-based animation of a helicopter using a Lie Group Integrator and optimal control

Physically-based animation of a snakeboard using a Lie Group Integrator

Physically-based animation of a snakeboard using a Lie Group Integrator

Physically-based animation of a helicopter using a Lie Group Integrator

Physically-based animation of a helicopter using a Lie Group Integrator

Physically-based animation of a boat using a Lie Group integrator, coupled with a fluid solver

Physically-based animation of a boat using a Lie Group integrator, coupled with a fluid solver

GPU fluid simulation - advection

GPU fluid simulation - advection

Greedy Computation of a Homotopy Basis for a Genus 2 Surface

Greedy Computation of a Homotopy Basis for a Genus 2 Surface

Cutting a Torus into a Disk

Cutting a Torus into a Disk

Capturing and Animating Occluded Cloth

Capturing and Animating Occluded Cloth

Capturing and Animating Occluded Cloth - Animation Festival

Capturing and Animating Occluded Cloth - Animation Festival

GPU fluid simulation - smoke

GPU fluid simulation - smoke

GPU fluid simulation - water

GPU fluid simulation - water

GPU fluid simulation - fire

GPU fluid simulation - fire

GPU fluid simulation - blood

GPU fluid simulation - blood