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Signed distance function
Formal sciences
Mathematics
Geometry
Euclidean geometry
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Related lectures (9)
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Metric Spaces and Isometric Embeddings
Covers metric spaces, isometric embeddings, and equilateral spaces with examples and proofs.
Nonlinear Bourgain's Projection Theorem
Explores a nonlinear version of Bourgain's Projection Theorem and its diverse applications in mathematics.
Projective Geometry: Historical Overview
Explores the historical development of projective geometry and the contributions of key figures like Alberti and Piero della Francesca.
Physically-based Differentiable Rendering
Covers Physically-based Differentiable Rendering in the context of Realistic Graphics Lab at EPFL, exploring its applications and future potential.
Intrinsic Geometry of Regular Surfaces
Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.
Clustering: K-Means
Covers clustering and the K-means algorithm for partitioning datasets into clusters based on similarity.
Linear Classification: Signed Distance and Perceptron
Explores signed distance, perceptron, logistic regression, cross entropy, and multi-class classification.
Spatial Topological Queries
Explores topology, test functions, and space operators for spatial queries.
K-Nearest Neighbors & Feature Expansion
Introduces k-Nearest Neighbors for classification and feature expansion to handle nonlinear data through transformed inputs.
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