Interactive Curve Constrained Functional Maps

A. Gehre, M. Bronstein, L. Kobbelt, J. Solomon

Research output: Contribution to journalArticlepeer-review


Functional maps have gained popularity as a versatile framework for representing intrinsic correspondence between 3D shapes using algebraic machinery. A key ingredient for this framework is the ability to find pairs of corresponding functions (typically, feature descriptors) across the shapes. This is a challenging problem on its own, and when the shapes are strongly non-isometric, nearly impossible to solve automatically. In this paper, we use feature curve correspondences to provide flexible abstractions of semantically similar parts of non-isometric shapes. We design a user interface implementing an interactive process for constructing shape correspondence, allowing the user to update the functional map at interactive rates by introducing feature curve correspondences. We add feature curve preservation constraints to the functional map framework and propose an efficient numerical method to optimize the map with immediate feedback. Experimental results show that our approach establishes correspondences between geometrically diverse shapes with just a few clicks.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalComputer Graphics Forum
Issue number5
StatePublished - Aug 2018
Externally publishedYes


  • 1.3.5 [Computer Graphics]: Computer graphics—Computational Geometry and Object Modeling
  • Categories and Subject Descriptors (according to ACM CCS):


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