Efficient Synthesis of Gaussian Filters by Cascaded Uniform Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Filtering by repeated integration
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
The fast Fourier transform and its applications
The fast Fourier transform and its applications
Fast Surface Interpolation Using Hierarchical Basis Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multigrid
Gradient domain high dynamic range compression
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Smooth surface reconstruction from noisy range data
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Deformable Kernels for Early Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
ACM SIGGRAPH 2003 Papers
Multiscale shape and detail enhancement from multi-light image collections
ACM SIGGRAPH 2007 papers
Efficient gradient-domain compositing using quadtrees
ACM SIGGRAPH 2007 papers
Image alignment and stitching: a tutorial
Foundations and Trends® in Computer Graphics and Vision
Streaming multigrid for gradient-domain operations on large images
ACM SIGGRAPH 2008 papers
Diffusion curves: a vector representation for smooth-shaded images
ACM SIGGRAPH 2008 papers
Real-time gradient-domain painting
ACM SIGGRAPH 2008 papers
Fourier Analysis of the 2D Screened Poisson Equation for Gradient Domain Problems
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part II
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Coordinates for instant image cloning
ACM SIGGRAPH 2009 papers
Scattered data interpolation and approximation for computer graphics
ACM SIGGRAPH ASIA 2010 Courses
A Higher Density Discrete Wavelet Transform
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Diffusion curve textures for resolution independent texture mapping
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Image melding: combining inconsistent images using patch-based synthesis
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
IMShare: instantly sharing your mobile landmark images by search-based reconstruction
Proceedings of the 20th ACM international conference on Multimedia
Digital Camouflage Images Using Two-scale Decomposition
Computer Graphics Forum
Statistics of patch offsets for image completion
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part II
Efficient preconditioning of laplacian matrices for computer graphics
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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We present a novel approach for rapid numerical approximation of convolutions with filters of large support. Our approach consists of a multiscale scheme, fashioned after the wavelet transform, which computes the approximation in linear time. Given a specific large target filter to approximate, we first use numerical optimization to design a set of small kernels, which are then used to perform the analysis and synthesis steps of our multiscale transform. Once the optimization has been done, the resulting transform can be applied to any signal in linear time. We demonstrate that our method is well suited for tasks such as gradient field integration, seamless image cloning, and scattered data interpolation, outperforming existing state-of-the-art methods.