Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Piecewise surface flattening for non-distorted texture mapping
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
Shape transformation for polyhedral objects
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Texturing implicit surfaces with particle systems
ACM SIGGRAPH 97 Visual Proceedings: The art and interdisciplinary programs of SIGGRAPH '97
Three-dimensional distance field metamorphosis
ACM Transactions on Graphics (TOG)
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Non-distorted texture mapping for sheared triangulated meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
3D scan conversion of CSG models into distance volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th 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
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Dihedral bounds for mesh generation in high dimensions
Proceedings of the sixth annual ACM-SIAM symposium on Discrete algorithms
Isosurfacing in higher dimensions
Proceedings of the conference on Visualization '00
Consistent mesh parameterizations
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Texture mapping progressive meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Constrained texture mapping for polygonal meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Variational problems and partial differential equations on implicit surfaces
Journal of Computational Physics
Least squares conformal maps for automatic texture atlas generation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Painting and rendering textures on unparameterized models
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Acute Type Refinements of Tetrahedral Partitions of Polyhedral Domains
SIAM Journal on Numerical Analysis
Conformal Surface Parameterization for Texture Mapping
IEEE Transactions on Visualization and Computer Graphics
A Level-Set Approach for the Metamorphosis of Solid Models
IEEE Transactions on Visualization and Computer Graphics
Distance Field Manipulation of Surface Models
IEEE Computer Graphics and Applications
Metamorphosis of Arbitrary Triangular Meshes
IEEE Computer Graphics and Applications
Feature-based Surface Decomposition for Correspondence and Morphing Between Polyhedra
CA '98 Proceedings of the Computer Animation
A Field Interpolated Texture Mapping Algorithm for Skeletal Implicit Surfaces
CGI '99 Proceedings of the International Conference on Computer Graphics
3D geometric metamorphosis based on harmonic map
PG '97 Proceedings of the 5th Pacific Conference on Computer Graphics and Applications
Texturing Composite Deformable Implicit Objects
SIBGRAPHI '98 Proceedings of the International Symposium on Computer Graphics, Image Processing, and Vision
Explicit Control of Topological Transitions in Morphing Shapes of 3D Meshes
PG '01 Proceedings of the 9th Pacific Conference on Computer Graphics and Applications
Local Control for Mesh Morphing
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
VIS '94 Proceedings of the conference on Visualization '94
Journal of Computational Physics
Geodesic image interpolation: parameterizing and interpolating spatiotemporal images
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Tracking surfaces with evolving topology
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Parameterization of contractible domains using sequences of harmonic maps
Proceedings of the 7th international conference on Curves and Surfaces
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Mappings between surfaces have a variety of uses, including texture transfer, multi-way morphing, and surface analysis. Given a 4D implicit function that defines a morph between two implicit surfaces, this article presents a method of calculating a mapping between the two surfaces. We create such a mapping by solving two PDEs over a tetrahedralized hypersurface that connects the two surfaces in 4D. Solving the first PDE yields a vector field that indicates how points on one surface flow to the other. Solving the second PDE propagates position labels along this vector field so that the second surface is tagged with a unique position on the first surface. One strength of this method is that it produces correspondences between surfaces even when they have different topologies. Even if the surfaces split apart or holes appear, the method still produces a mapping entirely automatically. We demonstrate the use of this approach to transfer texture between two surfaces that may have differing topologies.