A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Iterative Smoothed Residuals: A Low-Pass Filter for Smoothing With Controlled Shrinkage
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric compression through topological surgery
ACM Transactions on Graphics (TOG)
Migration Processes I: The Continuous Case
Journal of Mathematical Imaging and Vision
General Object Reconstruction Based on Simplex Meshes
International Journal of Computer Vision
International Journal of Computer Vision
A survey of methods for recovering quadrics in triangle meshes
ACM Computing Surveys (CSUR)
Estimation of Error in Curvature Computation on Multi-Scale Free-Form Surfaces
International Journal of Computer Vision
New Algorithms for Controlling Active Contours Shape and Topology
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part II
Free-Form Surface Description in Multiple Scales: Extension to Incomplete Surfaces
CAIP '99 Proceedings of the 8th International Conference on Computer Analysis of Images and Patterns
Suggestive contours for conveying shape
ACM SIGGRAPH 2003 Papers
Tightening: curvature-limiting morphological simplification
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Mason: morphological simplification
Graphical Models
Video browsing by direct manipulation
Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
Smoothing a Network of Planar Polygonal Lines Obtained with Vectorization
Graphics Recognition. Recent Advances and New Opportunities
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
Technical Section: Sketch-based modeling: A survey
Computers and Graphics
Narrow band region-based active contours and surfaces for 2D and 3D segmentation
Computer Vision and Image Understanding
Sketch-based subdivision models
Proceedings of the 6th Eurographics Symposium on Sketch-Based Interfaces and Modeling
An Optimisation-Based Approach to Mesh Smoothing: Reformulation and Extensions
GbRPR '09 Proceedings of the 7th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition
Generation of myocardial wall surface meshes from Segmented MRI
Journal of Biomedical Imaging
Tensor-based brain surface modeling and analysis
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
3D video and free viewpoint video-From capture to display
Pattern Recognition
A hierarchical extension to 3D non-parametric surface relief completion
Pattern Recognition
2D and 3d multimodal hybrid face recognition
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
Topology preserving parallel smoothing for 3d binary images
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
Efficient generation of corresponding meshes for biomedical flow simulations
ISBMS'10 Proceedings of the 5th international conference on Biomedical Simulation
A 3d model feature-line extraction method using mesh sharpening
Edutainment'06 Proceedings of the First international conference on Technologies for E-Learning and Digital Entertainment
Hole filling of triangular mesh segments using systematic grey prediction
Computer-Aided Design
Automatic heart isolation in 3d CT images
MCV'12 Proceedings of the Second international conference on Medical Computer Vision: recognition techniques and applications in medical imaging
Advances in Engineering Software
A practical framework for generating volumetric meshes of subject-specific soft tissue
The Visual Computer: International Journal of Computer Graphics
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For a number of computational purposes, including visualization of scientific data and registration of multimodal medical data, smooth curves must be approximated by polygonal curves, and surfaces by polyhedral surfaces. An inherent problem of these approximation algorithms is that the resulting curves and surfaces appear faceted. Boundary-following and iso-surface construction algorithms are typical examples. To reduce the apparent faceting, smoothing methods are used. In this paper, we introduce a new method for smoothing piecewise linear shapes of arbitrary dimension and topology. This new method is in fact a linear low-pass filter that removes high-curvature variations, and does not produce shrinkage. Its computational complexity is linear in the number of edges or faces of the shape, and the required storage is linear in the number of vertices.