A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Rigid, affine and locally affine registration of free-form surfaces
International Journal of Computer Vision
International Journal of Computer Vision
Surface simplification using quadric error metrics
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Implicit fairing of irregular meshes using diffusion and curvature flow
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Articulated body deformation from range scan data
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A new point matching algorithm for non-rigid registration
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Variational shape approximation
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Non-Rigid Range-Scan Alignment Using Thin-Plate Splines
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The correspondence framework for 3D surface matching algorithms
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Registration of point cloud data from a geometric optimization perspective
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Similarity-based surface modelling using geodesic fans
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
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ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
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ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
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ACM Transactions on Graphics (TOG)
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Computer Aided Geometric Design
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Geometric modeling in shape space
ACM SIGGRAPH 2007 papers
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SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
On bending invariant signatures for surfaces
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Template deformation for point cloud fitting
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
Topology-Invariant Similarity of Nonrigid Shapes
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Geodesics in Shape Space via Variational Time Discretization
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
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ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
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MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
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International Journal of Computer Vision
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DAGM'11 Proceedings of the 33rd international conference on Pattern recognition
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Time-Discrete Geodesics in the Space of Shells
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EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
Robust fairing via conformal curvature flow
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Fitting polynomial volumes to surface meshes with Voronoï squared distance minimization
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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Geometric flows are ubiquitous in mesh processing. Curve and surface evolutions based on functional minimization have been used in the context of surface diffusion, denoising, shape optimization, minimal surfaces, and geodesic paths to mention a few. Such gradient flows are nearly always, yet often implicitly, based on the canonical Linner product of vector fields. In this paper, we point out that changing this inner product provides a simple, powerful, and untapped approach to extend current flows. We demonstrate the value of such a norm alteration for regularization and volume-preservation purposes and in the context of shape matching, where deformation priors (ranging from rigid motion to articulated motion) can be incorporated into a gradient flow to drastically improve results. Implementation details, including a differentiable approximation of the Hausdorff distance between irregular meshes, are presented.