Shape-from-Operator: Recovering Shapes from Intrinsic Operators

• Published in: Computer graphics forum Vol. 34; no. 2; pp. 265 - 274
• Main Authors: Boscaini, Davide, Eynard, Davide, Kourounis, Drosos, Bronstein, Michael M.
• Format: Journal Article
• Language: English
• Published: Oxford Blackwell Publishing Ltd 01.05.2015
• Subjects: Analogies; Analysis; Categories and Subject Descriptors (according to ACM CCS); Collection; Computer graphics; Eigenvalues; I.3 [Computer graphics]: Shape modeling-Shape analysis; Image processing systems; Laplace transforms; Operators; Optimization; Reconstruction; Recovering; Splitting; Studies

We formulate the problem of shape‐from‐operator (SfO), recovering an embedding of a mesh from intrinsic operators defined through the discrete metric (edge lengths). Particularly interesting instances of our SfO problem include: shape‐from‐Laplacian, allowing to transfer style between shapes; shape‐...