Generating antialiased images at low sampling densities
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Efficient algorithms for 3D scan-conversion of parametric curves, surfaces, and volumes
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Volumetric shape description of range data using “Blobby Model”
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Scheduled Fourier volume morphing
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
An implicit formulation for precise contact modeling between flexible solids
SIGGRAPH '93 Proceedings of the 20th 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
Animating soft substances with implicit surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Fitting smooth surfaces to dense polygon meshes
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
An accurate method for voxelizing polygon meshes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
A parametric algorithm for drawing pictures of solid objects composed of quadric surfaces
Communications of the ACM
Distance Field Manipulation of Surface Models
IEEE Computer Graphics and Applications
Interactive Shape Design with Convolution Surfaces
SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Implicit modeling of swept surfaces and volumes
VIS '94 Proceedings of the conference on Visualization '94
Reconstructing Surfaces by Volumetric Regularization Using Radial Basis Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Interpolating and approximating implicit surfaces from polygon soup
ACM SIGGRAPH 2004 Papers
Generalized sweep templates for implicit modeling
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Hierarchical RLE level set: A compact and versatile deformable surface representation
ACM Transactions on Graphics (TOG)
Duplicate-skins for compatible mesh modelling
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Interpolating and approximating implicit surfaces from polygon soup
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Hierarchical error-driven approximation of implicit surfaces from polygonal meshes
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
A Sharpness-Dependent Filter for Recovering Sharp Features in Repaired 3D Mesh Models
IEEE Transactions on Visualization and Computer Graphics
A hierarchical sampling approach for polygonizing variational implicit surfaces
Computers and Graphics
Adaptive polygonization of implicit surfaces
Computers and Graphics
Technical Section: Orienting unorganized points for surface reconstruction
Computers and Graphics
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Special effects: efficient and scalable encoding of the 3D metamorphosis animation with MESHGRID
PCM'05 Proceedings of the 6th Pacific-Rim conference on Advances in Multimedia Information Processing - Volume Part I
IbPRIA'05 Proceedings of the Second Iberian conference on Pattern Recognition and Image Analysis - Volume Part I
Efficient evaluation of continuous signed distance to a polygonal mesh
Proceedings of the 28th Spring Conference on Computer Graphics
Generalized Hermitian Radial Basis Functions Implicits from polygonal mesh constraints
The Visual Computer: International Journal of Computer Graphics
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Implicit surfaces are used for a number of tasks in computer graphics, including modeling soft or organic objects, morphing, collision detection, and constructive solid geometry. Although operating on implicit surfaces is usually straightforward, creating them is not. We introduce a practical method for creating implicit surfaces from polygonal models that produces high-quality results for complex surfaces. Whereas much previous work in implicit surfaces has been done with primitives such as "blobbies," we use implicit surfaces based on a variational interpolation technique (the three-dimensional generalization of thin-plate interpolation). Given a polygonal mesh, we convert the data to a volumetric representation to use as a guide for creating the implicit surface iteratively. We begin by seeding the surface with a number of constraint points through which the surface must pass. Iteratively, additional constraints are added; the resulting surfaces are evaluated, and the errors guide the placement of subsequent constraints. We have applied our method successfully to a variety of polygonal meshes and consider it to be robust.