. . . . "In this paper, we propose a new approach for fairing of discrete surfaces. Two criteria, curvature and mesh irregularity, defined on a discrete surface are jointly optimised. A new definition of curvature is proposed, which simplifies the computation. A discrete diffusion of a scalar function is used to avoid surface shrinking. Proposed experiments on synthetic as well as on real data demonstrated method's stability, robustness and ability to preserve qualitative shape (convex/concave/hyperbolic/elliptic). Tests on real datasets from 3D reconstruction task showed the method is suitable for this application and data with boundary and of moderate-size (with more than 0.8M vertices and 1.7M triangles)."@en . "Inflection Point Preserving Fairing of Discrete Surfaces with Boundary"@cs . . . . "RIV/68407700:21230/08:03150819!RIV09-MSM-21230___" . "\u0160\u00E1ra, Radim" . "Kostliv\u00E1, Jana" . . . "P(1ET101210406), Z(MSM6840770012)" . . "372015" . . . "21230" . "3"^^ . "Inflection Point Preserving Fairing of Discrete Surfaces with Boundary"@cs . . . "In this paper, we propose a new approach for fairing of discrete surfaces. Two criteria, curvature and mesh irregularity, defined on a discrete surface are jointly optimised. A new definition of curvature is proposed, which simplifies the computation. A discrete diffusion of a scalar function is used to avoid surface shrinking. Proposed experiments on synthetic as well as on real data demonstrated method's stability, robustness and ability to preserve qualitative shape (convex/concave/hyperbolic/elliptic). Tests on real datasets from 3D reconstruction task showed the method is suitable for this application and data with boundary and of moderate-size (with more than 0.8M vertices and 1.7M triangles)." . "2"^^ . "Inflection Point Preserving Fairing of Discrete Surfaces with Boundary"@en . "Mat\u00FDskov\u00E1, M." . "Inflection Point Preserving Fairing of Discrete Surfaces with Boundary"@en . . . . "Inflection Point Preserving Fairing of Discrete Surfaces with Boundary" . . "Inflection Point Preserving Fairing of Discrete Surfaces with Boundary" . "RIV/68407700:21230/08:03150819" . "[B6A53DC9F9FB]" . . "In this paper, we propose a new approach for fairing of discrete surfaces. Two criteria, curvature and mesh irregularity, defined on a discrete surface are jointly optimised. A new definition of curvature is proposed, which simplifies the computation. A discrete diffusion of a scalar function is used to avoid surface shrinking. Proposed experiments on synthetic as well as on real data demonstrated method's stability, robustness and ability to preserve qualitative shape (convex/concave/hyperbolic/elliptic). Tests on real datasets from 3D reconstruction task showed the method is suitable for this application and data with boundary and of moderate-size (with more than 0.8M vertices and 1.7M triangles)."@cs . "curvature approximation; mesh regularity improvement; mesh smoothing; surface fairing"@en .