Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
The Computation of Visible-Surface Representations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Polygonization of implicit surfaces
Computer Aided Geometric Design
Guaranteed ray intersections with implicit surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Fast Surface Interpolation Using Hierarchical Basis Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Volumetric shape description of range data using “Blobby Model”
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Deformable curve and surface finite-elements for free-form shape design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Interval analysis for computer graphics
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Interval arithmetic recursive subdivision for implicit functions and constructive solid geometry
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
An implicit surface polygonizer
Graphics gems IV
Free-form shape design using triangulated surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Using particles to sample and control implicit surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A framework for interactive texturing on curved surfaces
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Priors Stabilizers and Basis Functions: From Regularization to Radial, Tensor and Additive Splines
Priors Stabilizers and Basis Functions: From Regularization to Radial, Tensor and Additive Splines
Point-based modelling and rendering using radial basis functions
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Interactive shape design using volumetric implicit PDEs
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Free-form deformations via sketching and manipulating scalar fields
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Twister: a space-warp operator for the two-handed editing of 3D shapes
ACM SIGGRAPH 2003 Papers
Approximating and intersecting surfaces from points
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Haptics-Based Dynamic Implicit Solid Modeling
IEEE Transactions on Visualization and Computer Graphics
Interpolating and approximating implicit surfaces from polygon soup
ACM SIGGRAPH 2004 Papers
Interactive modelling from sketches using spherical implicit functions
AFRIGRAPH '04 Proceedings of the 3rd international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
Controllable smoke animation with guiding objects
ACM Transactions on Graphics (TOG)
Bender: a virtual ribbon for deforming 3D shapes in biomedical and styling applications
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Spatial keyframing for performance-driven animation
Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation
3D scattered data interpolation and approximation with multilevel compactly supported RBFs
Graphical Models - Special issue on SMI 2003
IEEE Computer Graphics and Applications
Duplicate-skins for compatible mesh modelling
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Sparse surface reconstruction with adaptive partition of unity and radial basis functions
Graphical Models - Special issue on SMI 2004
Graphical Models - Special issue on SMI 2004
Generating symbolic interpolants for scattered data with normal vectors
Journal of Computer Science and Technology
Modeling with multiresolution subdivision surfaces
ACM SIGGRAPH 2006 Courses
ShapeShop: sketch-based solid modeling with BlobTrees
ACM SIGGRAPH 2006 Courses
Spatial keyframing for performance-driven animation
ACM SIGGRAPH 2006 Courses
Some notes on radial basis functions and thin plate splines
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A shape design system using volumetric implicit PDEs
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Multi-level partition of unity implicits
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Interpolating and approximating implicit surfaces from polygon soup
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Active contours using a constraint-based implicit representation
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Spline approximation of general volumetric data
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Technical Section: Stochastic visualization of intersection curves of implicit surfaces
Computers and Graphics
FiberMesh: designing freeform surfaces with 3D curves
ACM SIGGRAPH 2007 papers
Spatial keyframing for performance-driven animation
ACM SIGGRAPH 2007 courses
ShapeShop: sketch-based solid modeling with BlobTrees
ACM SIGGRAPH 2007 courses
Triangulating point set surfaces with bounded error
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Reconstruction of solid models from oriented point sets
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Hierarchical error-driven approximation of implicit surfaces from polygonal meshes
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Reconstruction with Voronoi centered radial basis functions
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Technical Section: Progressive refinement rendering of implicit surfaces
Computers and Graphics
Efficient Surface Reconstruction using Generalized Coulomb Potentials
IEEE Transactions on Visualization and Computer Graphics
ICCOMP'05 Proceedings of the 9th WSEAS International Conference on Computers
Computers & Mathematics with Applications
2D piecewise algebraic splines for implicit modeling
ACM Transactions on Graphics (TOG)
Duplex fitting of zero-level and offset surfaces
Computer-Aided Design
Surface reconstruction from point clouds by transforming the medial scaffold
Computer Vision and Image Understanding
Topology- and error-driven extension of scalar functions from surfaces to volumes
ACM Transactions on Graphics (TOG)
Field modeling with sampled distances
Computer-Aided Design
A hierarchical sampling approach for polygonizing variational implicit surfaces
Computers and Graphics
Shape preserving surface reconstruction using locally anisotropic radial basis function interpolants
Computers & Mathematics with Applications
Parallel Poisson Surface Reconstruction
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
LS-RBF network based 3D surface reconstruction method
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Liver segmentation using sparse 3D prior models with optimal data support
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
Point sampled surface reconstruction based on local geometry
Edutainment'07 Proceedings of the 2nd international conference on Technologies for e-learning and digital entertainment
Functional modelling of large scattered data sets using neural networks
ICANN'07 Proceedings of the 17th international conference on Artificial neural networks
Narrow-band based radial basis functions implicit surface reconstruction
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
EA'07 Proceedings of the Evolution artificielle, 8th international conference on Artificial evolution
Technical Section: Orienting unorganized points for surface reconstruction
Computers and Graphics
The HybridTree: a hybrid constructive shape representation for free-form modeling
Heterogeneous objects modelling and applications
Optimization of continuous heterogeneous models
Heterogeneous objects modelling and applications
Generation of myocardial wall surface meshes from Segmented MRI
Journal of Biomedical Imaging
Adaptive surface reconstruction based on implicit PHT-splines
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Technical Section: Interactive free-form level-set surface-editing operators
Computers and Graphics
Vector fields for robot navigation along time-varying curves in n-dimensions
IEEE Transactions on Robotics
Radial basis function based level set interpolation and evolution for deformable modelling
Image and Vision Computing
A new approach for shape preserving interpolating curves
Computers & Mathematics with Applications
Defining, contouring, and visualizing scalar functions on point-sampled surfaces
Computer-Aided Design
A new mesh-growing algorithm for fast surface reconstruction
Computer-Aided Design
Parallel and adaptive surface reconstruction based on implicit PHT-splines
Computer Aided Geometric Design
Orthogonal least square RBF based implicit surface reconstruction methods
VSMM'06 Proceedings of the 12th international conference on Interactive Technologies and Sociotechnical Systems
Adaptive point-cloud surface interpretation
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Surface reconstruction based on radial basis functions network
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part III
Kd-tree based OLS in implicit surface reconstruction with radial basis function
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
Hierarchically partitioned implicit surfaces for interpolating large point set models
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Surface reconstruction with an interactive modification of point normals
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
Topology-adaptive interface tracking using the deformable simplicial complex
ACM Transactions on Graphics (TOG)
Object-space multiphase implicit functions
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
SMI 2012: Full Local approximation of scalar functions on 3D shapes and volumetric data
Computers and Graphics
Journal of Computational Physics
Mesh connection with RBF local interpolation and wavelet transform
Proceedings of the Third Symposium on Information and Communication Technology
Fast and smooth interactive segmentation of medical images using variational interpolation
EG VCBM'10 Proceedings of the 2nd Eurographics conference on Visual Computing for Biology and Medicine
Interactively visualizing procedurally encoded scalar fields
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Surface reconstruction from noisy point clouds using coulomb potentials
VG'07 Proceedings of the Sixth Eurographics / Ieee VGTC conference on Volume Graphics
Polygon mesh repairing: An application perspective
ACM Computing Surveys (CSUR)
Multi-level hermite variational interpolation and quasi-interpolation
The Visual Computer: International Journal of Computer Graphics
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
Forward non-rigid motion tracking for facial MoCap
The Visual Computer: International Journal of Computer Graphics
Characterization of rational ruled surfaces
Journal of Symbolic Computation
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We introduce new techniques for modelling with interpolating implicit surfaces. This form of implicit surface was first used for problems of surface reconstruction and shape transformation, but the emphasis of our work is on model creation. These implicit surfaces are described by specifying locations in 3D through which the surface should pass, and also identifying locations that are interior or exterior to the surface. A 3D implicit function is created from these constraints using a variational scattered data interpolation approach, and the iso-surface of this function describes a surface. Like other implicit surface descriptions, these surfaces can be used for CSG and interference detection, may be interactively manipulated, are readily approximated by polygonal tilings, and are easy to ray trace. A key strength for model creation is that interpolating implicit surfaces allow the direct specification of both the location of points on the surface and the surface normals. These are two important manipulation techniques that are difficult to achieve using other implicit surface representations such as sums of spherical or ellipsoidal Gaussian functions ("blobbies"). We show that these properties make this form of implicit surface particularly attractive for interactive sculpting using the particle sampling technique introduced by Witkin and Heckbert. Our formulation also yields a simple method for converting a polygonal model to a smooth implicit model, as well as a new way to form blends between objects.