Implicit Surface Modelling with a Globally Regularised Basis of Compact Support

No abstract is available for this paper.

• Publication year

  2006

• Venue

  Computer graphics forum (Print)

• Publication date

  2006-09-01

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1111/j.1467-8659.2006.00983.x
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• How to choose the covariance for Gaussian process regression independently of the basis

  2006cited by this paper
• Implicit surface modelling as an eigenvalue problem

  2005cited by this paper
• Interpolating and approximating implicit surfaces from polygon soup

  2004cited by this paper
• ACM Transactions on Graphics

  2004cited by this paper
• Multi-level partition of unity implicits

  2003cited by this paper
• A multi-scale approach to 3D scattered data interpolation with compactly supported basis functions

  2003cited by this paper
• Efficient simplification of point-sampled surfaces

  2002cited by this paper
• A Generalized Representer Theorem

  2001cited by this paper
• Point set surfaces

  2001cited by this paper
• Interpolating implicit surfaces from scattered surface data using compactly supported radial basis functions

  2001cited by this paper
• Reconstruction and representation of 3D objects with radial basis functions

  2001cited by this paper
• Fast nearest-neighbor searching for nonlinear signal processing

  2000cited by this paper
• Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science (2nd edition)

  2000cited by this paper
• Curve reconstruction from unorganized points

  2000cited by this paper
• Shape transformation using variational implicit functions

  1999cited by this paper
• A short course on fast multipole methods

  1997cited by this paper
• Automatic reconstruction of surfaces and scalar fields from 3D scans

  1995cited by this paper
• Surface reconstruction from unorganized points

  1992cited by this paper
• Volumetric shape description of range data using “Blobby Model”

  1991cited by this paper
• Spline Models for Observational Data

  1990influential reference
• A fast algorithm for particle simulations

  1987cited by this paper
• Splines minimizing rotation-invariant semi-norms in Sobolev spaces

  1976cited by this paper
• Some results on Tchebycheffian spline functions

  1971cited by this paper

• AdaHRBF v1.0: gradient-adaptive Hermite–Birkhoff radial basis function interpolants for three-dimensional stratigraphic implicit modeling

  2023cites this paper
• Neural Fields with Hard Constraints of Arbitrary Differential Order

  2023cites this paper
• Adaptive Local Basis Functions for Shape Completion

  2023cites this paper
• Implicit Surface Reconstruction with a Curl-free Radial Basis Function Partition of Unity Method

  2021cites this paper
• 3D Visualization of Brain Tumors Using MR Images: A Survey.

  2019cites this paper
• Robust surface reconstruction from highly noisy point clouds using distributed elastic networks

  2019cites this paper
• A regularized fusion based 3D reconstruction framework: analyses, methods and applications

  2018cites this paper
• A knowledge integration framework for 3D shape reconstruction

  2016cites this paper
• GNG based foot reconstruction for custom footwear manufacturing

  2016cites this paper
• Point Cloud Noise and Outlier Removal for Image-Based 3D Reconstruction

  2016cites this paper
• Quantitative Assessment of Variational Surface Reconstruction from Sparse Point Clouds in Freehand 3D Ultrasound Imaging during Image-Guided Tumor Ablation

  2016cites this paper
• 3D reconstruction of medical images from slices automatically landmarked with growing neural models

  2015cites this paper
• A closed-form formulation of HRBF-based surface reconstruction by approximate solution

  2015cites this paper
• 3D model reconstruction using neural gas accelerated on GPU

  2015cites this paper
• A three-dimensional representation method for noisy point clouds based on growing self-organizing maps accelerated on GPUs

  2014cites this paper
• An object representation and methods for uncertainty-aware shape estimation and grasping

  2014cites this paper
• RBF morphing techniques for simulation-based design optimization

  2014cites this paper
• An introduction to Ricci flow and volumetric approximation with applications to shape modeling

  2014cites this paper
• Grasp Moduli Spaces, Gaussian Processes and Multimodal Sensor Data

  2014cites this paper
• Generalized Hermitian Radial Basis Functions Implicits from polygonal mesh constraints

  2013cites this paper
• Parameterization of point-cloud freeform surfaces using adaptive sequential learning RBFnetworks

  2013cites this paper
• Multi-level hermite variational interpolation and quasi-interpolation

  2013cites this paper
• Surface reconstruction based on extreme learning machine

  2013cites this paper
• 3D-based reconstruction using growing neural gas landmark: application to rapid prototyping in shoe last manufacturing

  2013cites this paper
• Surface- and volume-based techniques for shape modeling and analysis

  2013cites this paper
• Bilateral Hermite Radial Basis Functions for Contour‐based Volume Segmentation

  2013cites this paper
• Least-squares hermite radial basis functions implicits with adaptive sampling

  2013cites this paper
• A two-level approach to implicit surface modeling with compactly supported radial basis functions

  2011cites this paper
• A Hierarchical Approach to 3D Scattered Data Interpolation with Radial Basis Functions

  2011cites this paper
• Normal estimation on manifolds by gradient learning

  2011cites this paper
• Hermite Radial Basis Functions Implicits

  2011cites this paper
• Multiscale Implicit Functions for Unified Data Representation

  2011cites this paper
• Interactive 3D medical image segmentation with energy-minimizing implicit functions

  2011cites this paper
• Surface representations for 3D face recognition

  2010cites this paper
• Non-rigid Registration in 3D Implicit Vector Space

  2010cites this paper
• Space-carving Kernels for Accurate Rough Terrain Estimation

  2010cites this paper
• Generalized interpolation of implicit surfaces using radial basis functions

  2010cites this paper
• A Comparison of Two Machine Learning Approaches for Photometric Solids Compression

  2010cites this paper
• Surface Reconstruction Based on Hierarchical Floating Radial Basis Functions

  2010cites this paper
• Kernel Algorithms Distribution Embeddings in Reproducing Kernel Hilbert Spaces

  2009cites this paper
• Topology- and error-driven extension of scalar functions from surfaces to volumes

  2009cites this paper
• Hermite Interpolation of Implicit Surfaces with Radial Basis Functions

  2009cites this paper
• Accurate rough terrain estimation with space-carving kernels

  2009cites this paper
• Dual-RBF based surface reconstruction

  2009cites this paper
• Hermite variational implicit surface reconstruction

  2009cites this paper
• Refinement of Reproducing Kernels

  2009influential citation
• From differential equations to differential geometry: aspects of regularisation in machine learning

  2009cites this paper
• Robust and efficient processing techniques for static and dynamic geometric data

  2009cites this paper
• A Space-Carving Approach to Surface Estimation

  2008cites this paper
• Seidel On Stochastic Methods for Surface Reconstruction

  2008influential citation
• Sparse multiscale gaussian process regression

  2008cites this paper
• Kernelized Sorting

  2008cites this paper
• The YUE-HASM method

  2008cites this paper
• Simultaneous Implicit Surface Reconstruction and Meshing

  2008cites this paper
• Kernels, regularization and differential equations

  2008cites this paper
• Efficient and Invariant Regularisation with Application to Computer Graphics

  2008cites this paper
• Error-guided adaptive Fourier-based surface reconstruction

  2007cites this paper
• Implicit Surface Modeling Suitable for Inside/Outside Tests with Radial Basis Functions

  2007cites this paper
• On stochastic methods for surface reconstruction

  2007influential citation
• Algorithms for Complex Shapes with Certified Numerics and Topology Piecewise Linear Kernels for Simultaneous Approximation of Implicit and Mesh Surfaces from Point Cloud Data

  2007cites this paper
• Refinable Kernels

  2007cites this paper
• Implicit Wiener Series, Part II: Regularised estimation

  2006cites this paper
• Implicit Surfaces with Globally Regularised and Compactly Supported Basis Functions

  2006cites this paper
• Eg Dl – Bibliography Database: Cgf25-26.bib

  year unknowncites this paper
• Universität Des Saarlandes Fachrichtung 6.1 – Mathematik a Variational Taxonomy for Surface Reconstruction from Oriented Points a Variational Taxonomy for Surface Reconstruction from Oriented Points

  year unknowncites this paper