Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Geometrically deformed models: a method for extracting closed geometric models form volume data
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Feature-based image metamorphosis
SIGGRAPH '92 Proceedings of the 19th 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
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Interactive shape metamorphosis
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
A fast level set method for propagating interfaces
Journal of Computational Physics
Feature-based volume metamorphosis
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Topological evolution of surfaces
GI '96 Proceedings of the conference on Graphics interface '96
Three-dimensional distance field metamorphosis
ACM Transactions on Graphics (TOG)
3D scan conversion of CSG models into distance volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Using distance maps for accurate surface representation in sampled volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
A Level-Set Approach to 3D Reconstruction from Range Data
International Journal of Computer Vision
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
Distance Field Manipulation of Surface Models
IEEE Computer Graphics and Applications
Feature-based Surface Decomposition for Correspondence and Morphing Between Polyhedra
CA '98 Proceedings of the Computer Animation
Algorithms for implicit deformable models
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Implicit modeling of swept surfaces and volumes
VIS '94 Proceedings of the conference on Visualization '94
VIS '94 Proceedings of the conference on Visualization '94
Level set surface editing operators
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Spatio-temporal view interpolation
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
The metamorphosis of 3D binary objects using morphological interpolation
Machine Graphics & Vision International Journal
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
Approximate distance fields with non-vanishing gradients
Graphical Models
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Image-based spatio-temporal modeling and view interpolation of dynamic events
ACM Transactions on Graphics (TOG)
Texture transfer during shape transformation
ACM Transactions on Graphics (TOG)
Hierarchical RLE level set: A compact and versatile deformable surface representation
ACM Transactions on Graphics (TOG)
Discrete surface modelling using partial differential equations
Computer Aided Geometric Design
Graphical Models - Special issue on SPM 05
A shape design system using volumetric implicit PDEs
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Actual morphing: a physics-based approach to blending
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Out-of-core and compressed level set methods
ACM Transactions on Graphics (TOG)
Guessing Tangents in Normal Flows
Journal of Mathematical Imaging and Vision
Discrete surface modelling using partial differential equations
Computer Aided Geometric Design
SARDF: signed approximate real distance functions in heterogeneous objects modeling
Heterogeneous objects modelling and applications
Earth Mover’s morphing: topology-free shape morphing using cluster-based EMD flows
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part IV
Water droplet morphing combining rigid transformation
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part I
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
Hybrid distance field computation
VG'01 Proceedings of the 2001 Eurographics conference on Volume Graphics
Segmentation of biological volume datasets using a level-set framework
VG'01 Proceedings of the 2001 Eurographics conference on Volume Graphics
Evaluating isosurfaces with level-set-based information maps
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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This paper presents a new approach to 3D shape metamorphosis. We express the interpolation of two shapes as a process where one shape deforms to maximize its similarity with another shape. The process incrementally optimizes an objective function while deforming an implicit surface model. We represent the deformable surface as a level set (iso-surface) of a densely sampled scalar function of three dimensions. Such level-set models have been shown to mimic conventional parametric deformable surface models by encoding surface movements as changes in the grayscale values of a volume data set. Thus, a well-founded mathematical structure leads to a set of procedures that describes how voxel values can be manipulated to create deformations that are represented as a sequence of volumes. The result is a 3D morphing method that offers several advantages over previous methods, including minimal need for user input, no model parameterization, flexible topology, and subvoxel accuracy.