Direct Analytical Methods for Solving Poisson Equations in Computer Vision Problems
IEEE Transactions on Pattern Analysis and Machine Intelligence
Parts of Visual Form: Computational Aspects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Training Invariant Support Vector Machines
Machine Learning
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Learning a Sparse Representation for Object Detection
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part IV
Shock-Based Indexing into Large Shape Databases
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
A Fragment-Based Approach to Object Representation and Classification
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
Sketches with Curvature: The Curve Indicator Random Field and Markov Processes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Visual Organization for Figure/Ground Separation
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Geometric Level Set Methods in Imaging,Vision,and Graphics
Geometric Level Set Methods in Imaging,Vision,and Graphics
ACM SIGGRAPH 2003 Papers
Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization
Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization
Shape Representation via Harmonic Embedding
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Analysis of Planar Shapes Using Geodesic Paths on Shape Spaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
2D-shape analysis using conformal mapping
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
MPEG-7 visual shape descriptors
IEEE Transactions on Circuits and Systems for Video Technology
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust symbolic representation for shape recognition and retrieval
Pattern Recognition
Robust symbolic representation for shape recognition and retrieval
Pattern Recognition
Shape Based Detection and Top-Down Delineation Using Image Segments
International Journal of Computer Vision
Hierarchical Shape Decomposition via Level Sets
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Silhouette representation and matching for 3D pose discrimination - A comparative study
Image and Vision Computing
Natural and seamless image composition with color control
IEEE Transactions on Image Processing
Vision-guided Robot System for Picking Objects by Casting Shadows
International Journal of Robotics Research
Using the Particle Filter Approach to Building Partial Correspondences Between Shapes
International Journal of Computer Vision
Volumetric Features for Video Event Detection
International Journal of Computer Vision
Shape representation and classification using boundary radius function
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
Shape classification based on skeleton path similarity
EMMCVPR'07 Proceedings of the 6th international conference on Energy minimization methods in computer vision and pattern recognition
Partially occluded face completion and recognition
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Shape recognition based on Kernel-edit distance
Computer Vision and Image Understanding
Skeleton growing and pruning with bending potential ratio
Pattern Recognition
Geodesic shape retrieval via optimal mass transport
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part V
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
3D human pose recovery from image by efficient visual feature selection
Computer Vision and Image Understanding
A Parallel Geometric Multigrid Method for Finite Elements on Octree Meshes
SIAM Journal on Scientific Computing
Scale invariant and deformation tolerant partial shape matching
Image and Vision Computing
Shape description by bending invariant moments
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part II
Perceptually motivated morphological strategies for shape retrieval
Pattern Recognition
On Using Anisotropic Diffusion for Skeleton Extraction
International Journal of Computer Vision
Local phase quantization descriptor for improving shape retrieval/classification
Pattern Recognition Letters
Segmentation with non-linear regional constraints via line-search cuts
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part I
On the Local Form and Transitions of Pre-symmetry Sets
Journal of Mathematical Imaging and Vision
Modelling Convex Shape Priors and Matching Based on the Gromov-Wasserstein Distance
Journal of Mathematical Imaging and Vision
STV-based video feature processing for action recognition
Signal Processing
On the embeddability of random walk distances
Proceedings of the VLDB Endowment
Poisson Skeleton Revisited: a New Mathematical Perspective
Journal of Mathematical Imaging and Vision
A two-dimensional Poisson equation formulation of non-parametric statistical non-linear modeling
Computers & Mathematics with Applications
From a Non-Local Ambrosio-Tortorelli Phase Field to a Randomized Part Hierarchy Tree
Journal of Mathematical Imaging and Vision
Hi-index | 0.14 |
We present a novel approach that allows us to reliably compute many useful properties of a silhouette. Our approach assigns, for every internal point of the silhouette, a value reflecting the mean time required for a random walk beginning at the point to hit the boundaries. This function can be computed by solving Poisson's equation, with the silhouette contours providing boundary conditions. We show how this function can be used to reliably extract various shape properties including part structure and rough skeleton, local orientation and aspect ratio of different parts, and convex and concave sections of the boundaries. In addition to this, we discuss properties of the solution and show how to efficiently compute this solution using multigrid algorithms. We demonstrate the utility of the extracted properties by using them for shape classification and retrieval.