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6.838: Shape Analysis (Spring 2021)

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Shape Analysis (Lecture 2): Linear and variational problems

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Shape Analysis (Lecture 1): Introduction

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Shape Analysis (Lecture 2, extra content): Gentler variational (Gateaux) derivatives, cubic splines

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Shape Analysis (Lecture 3): Differential geometry of smooth curves

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Shape Analysis (Lecture 3, extra content): First variation of arc length in R^n

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Shape Analysis (Lecture 4): Discrete differential geometry of polyline curves

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Shape Analysis (Lecture 5): Defining surfaces and (sub)manifolds; mesh data structures

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Shape Analysis (Lecture 6): Second fundamental form and surface curvature

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Shape Analysis (Lecture 6, extra content): First variation of surface area, mean curvature normal

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Shape Analysis (Lecture 7): Approximating Gaussian/mean/principal curvatures on triangle meshes

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Shape Analysis (Lecture 8): Geodesic distances

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Shape Analysis (Lecture 9): Geodesic distance algorithms, fast marching

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Shape Analysis (Lecture 10): Metric spaces and embeddings

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Shape Analysis (Lecture 10, part 2): Algorithms for embedding into Euclidean space

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Shape Analysis (Lecture 11): Structure-preserving embedding (ISOMAP, LLE); manifold learning

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