Guaranteeing the topology of an implicit surface polygonization for interactive modeling
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Topological and geometric properties of interval solid models
Graphical Models
Any open bounded subset of Rn has the same homotopy type than its medial axis
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Ambient isotopic approximations for surface reconstruction and interval solids
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Computational topology: ambient isotopic approximation of 2-manifolds
Theoretical Computer Science - Topology in computer science
Shape smoothing using double offsets
Proceedings of the 2007 ACM symposium on Solid and physical modeling
An adaptive MLS surface for reconstruction with guarantees
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Homotopy Conditions for Tolerant Geometric Queries
Reliable Implementation of Real Number Algorithms: Theory and Practice
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In this paper, we give a very simple and purely topological condition for two surfaces to be isotopic. This work is motivated by the problem of surface approximation. Applications to implicit surfaces are given, as well as connections with the well-known concepts of medial axis and local feature size.