Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
On interpolating between probability distributions
Applied Mathematics and Computation
A practical analytic model for daylight
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Toward a psychophysically-based light reflection model for image synthesis
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
An anisotropic phong BRDF model
Journal of Graphics Tools
The Earth Mover's Distance as a Metric for Image Retrieval
International Journal of Computer Vision
Fast primitive distribution for illustration
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Image-Based Reconstruction of Spatially Varying Materials
Proceedings of the 12th Eurographics Workshop on Rendering Techniques
Accurate 3D image colour histogram transformation
Pattern Recognition Letters - Special issue: Colour image processing and analysis
A data-driven reflectance model
ACM SIGGRAPH 2003 Papers
Optimal Mass Transport for Registration and Warping
International Journal of Computer Vision
Fast hierarchical importance sampling with blue noise properties
ACM SIGGRAPH 2004 Papers
Texture design using a simplicial complex of morphable textures
ACM SIGGRAPH 2005 Papers
N-Dimensional Probablility Density Function Transfer and its Application to Colour Transfer
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Frequency domain normal map filtering
ACM SIGGRAPH 2007 papers
Linear Bellman combination for control of character animation
ACM SIGGRAPH 2009 papers
Toward a perceptual space for gloss
ACM Transactions on Graphics (TOG)
Edge-preserving multiscale image decomposition based on local extrema
ACM SIGGRAPH Asia 2009 papers
Differential Earth Mover's Distance with Its Applications to Visual Tracking
IEEE Transactions on Pattern Analysis and Machine Intelligence
Content based image retrieval using multiscale top points a feasibility study
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Manifold bootstrapping for SVBRDF capture
ACM SIGGRAPH 2010 papers
Physically Based Rendering, Second Edition: From Theory To Implementation
Physically Based Rendering, Second Edition: From Theory To Implementation
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
Efficient Parallel Nonnegative Least Squares on Multicore Architectures
SIAM Journal on Scientific Computing
An Image Morphing Technique Based on Optimal Mass Preserving Mapping
IEEE Transactions on Image Processing
Multiresolution reflectance filtering
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
Image-driven navigation of analytical BRDF models
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Blue noise through optimal transport
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Example-based video color grading
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Feature-Preserving Surface Reconstruction and Simplification from Defect-Laden Point Sets
Journal of Mathematical Imaging and Vision
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Interpolation between pairs of values, typically vectors, is a fundamental operation in many computer graphics applications. In some cases simple linear interpolation yields meaningful results without requiring domain knowledge. However, interpolation between pairs of distributions or pairs of functions often demands more care because features may exhibit translational motion between exemplars. This property is not captured by linear interpolation. This paper develops the use of displacement interpolation for this class of problem, which provides a generic method for interpolating between distributions or functions based on advection instead of blending. The functions can be non-uniformly sampled, high-dimensional, and defined on non-Euclidean manifolds, e.g., spheres and tori. Our method decomposes distributions or functions into sums of radial basis functions (RBFs). We solve a mass transport problem to pair the RBFs and apply partial transport to obtain the interpolated function. We describe practical methods for computing the RBF decomposition and solving the transport problem. We demonstrate the interpolation approach on synthetic examples, BRDFs, color distributions, environment maps, stipple patterns, and value functions.