A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Optimizing 3D triangulations using discrete curvature analysis
Mathematical Methods for Curves and Surfaces
Mesh Smoothing via Mean and Median Filtering Applied to Face Normals
GMP '02 Proceedings of the Geometric Modeling and Processing — Theory and Applications (GMP'02)
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
Dense Matching of Multiple Wide-baseline Views
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
3D Triangle Mesh Smoothing via Adaptive MMSE Filtering
CIT '04 Proceedings of the The Fourth International Conference on Computer and Information Technology
3D geometry from uncalibrated images
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
Geometric fairing of irregular meshes for free-form surface design
Computer Aided Geometric Design
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In this paper, we propose a new algorithm for fairing discrete surfaces resulting from stereo-based 3D reconstruction task. Such results are typically too dense, uneven and noisy, which is inconvenient for further processing. Our approach jointly optimises mesh smoothness and regularity. The definition is given on a discrete surface and the solution is found by discrete diffusion of a scalar function. Experiments on synthetic and real data demonstrate that the proposed approach is robust, stable, preserves qualitative shape and is applicable to even moderate-size real surfaces with boundary (0.8M vertices and 1.7M triangles).