We present a co-abstraction method that takes as input a collection of 3D objects, and produces a mutually consistent and individually identity-preserving abstraction of each object. In general, an abstraction is a simpler version of a shape that preserves its main characteristics. We hypothesize, however, that there is no single abstraction of an object. Instead, there is a variety of possible abstractions, and an admissible one can only be chosen conjointly with other objects' abstractions. To this end, we introduce a new approach that hierarchically generates a spectrum of abstractions for each model in a shape collection. Given the spectra, we compute the appropriate abstraction level for each model such that shape simplification and inter-set consistency are collectively maximized, while individual shape identities are preserved.



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  title = {Co-Abstraction of Shape Collections},
  author = {Yumer, M. E., and Kara, L. B.},
  journal = {ACM Transactions on Graphics (Proceedings of SIGGRAPH Asia 2012)},
  volume = {31},
  issue = {6},
  pages = {166:1-166:11},
  year = {2012},