A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Handbook of discrete and computational geometry
Handbook of discrete and computational geometry
Normalized Cuts and Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator
FCRC '96/WACG '96 Selected papers from the Workshop on Applied Computational Geormetry, Towards Geometric Engineering
Segmentation of Multiple Salient Closed Contours from Real Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Proximity Graphs Based Multi-scale Image Segmentation
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Image compression using data-dependent triangulations
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
On digital image representation by the delaunay triangulation
PSIVT'07 Proceedings of the 2nd Pacific Rim conference on Advances in image and video technology
A framework for perceptual image analysis
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
A proper choice of vertices for triangulation representation of digital images
ICCVG'10 Proceedings of the 2010 international conference on Computer vision and graphics: Part II
Region and edge-adaptive sampling and boundary completion for segmentation
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
Iterative image coding using hybrid wavelet-based triangulation
MMM'07 Proceedings of the 13th international conference on Multimedia Modeling - Volume Part I
Vectorized image segmentation via trixel agglomeration
GbRPR'05 Proceedings of the 5th IAPR international conference on Graph-Based Representations in Pattern Recognition
Computing 2D constrained Delaunay triangulation using the GPU
I3D '12 Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games
Numerical aspects of spectral segmentation on polygonal grids
PARA'10 Proceedings of the 10th international conference on Applied Parallel and Scientific Computing - Volume Part I
Segmentation-based multi-class semantic object detection
Multimedia Tools and Applications
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We present a broad algorithmic framework for transforming an image comprised of pixels into a vectorized image segmented into polygons that can be subsequently used in image analysis, understanding, and high-level representation. We introduce a new entity-the trixel-that is an adaptive, local, triangular unit of region-contour picture description. Adjacent trixels are merged based on certain elementary heuristic criteria of perceptual organization, modeled as geometric filters on trixel edges. The connected components of a trixel grouping graph, with vertices representing trixels and edges between vertices corresponding to merged adjacent trixels, yield polygons that segment the image.