IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Based Description and Recognition of Planar Curves and Two-Dimensional Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Control point transform for shape representation and measurement
Computer Vision, Graphics, and Image Processing
Principal Warps: Thin-Plate Splines and the Decomposition of Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
On the Detection of Dominant Points on Digital Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Representation by Multiscale Contour Approximation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Based Detection of Corners of Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
A class of bases in L2 for the sparse representations of integral operators
SIAM Journal on Mathematical Analysis
Fractal functions and wavelet expansions based on several scaling functions
Journal of Approximation Theory
Optimal spline fitting to planar shape
Signal Processing
Active shape models—their training and application
Computer Vision and Image Understanding
Geometric heat equation and nonlinear diffusion of shapes and images
Computer Vision and Image Understanding
Computable elastic distances between shapes
SIAM Journal on Applied Mathematics
Local Scale Control for Edge Detection and Blur Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Morphological scale space for 2D shape smoothing
Computer Vision and Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
Feature Detection with Automatic Scale Selection
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Optimal surface reconstruction from planar contours
Communications of the ACM
Diffusion Snakes: Introducing Statistical Shape Knowledge into the Mumford-Shah Functional
International Journal of Computer Vision
The Visual Hull Concept for Silhouette-Based Image Understanding
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
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Salient Closed Boundary Extraction with Ratio Contour
IEEE Transactions on Pattern Analysis and Machine Intelligence
Approximations of Shape Metrics and Application to Shape Warping and Empirical Shape Statistics
Foundations of Computational Mathematics
Beta-connection: Generating a family of models from planar cross sections
ACM Transactions on Graphics (TOG)
On Shape of Plane Elastic Curves
International Journal of Computer Vision
International Journal of Computer Vision
Geometric modeling in shape space
ACM SIGGRAPH 2007 papers
A Framework for Image Segmentation Using Shape Models and Kernel Space Shape Priors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Open-Curve shape correspondence without endpoint correspondence
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
De-noising by soft-thresholding
IEEE Transactions on Information Theory
Wavelet descriptor of planar curves: theory and applications
IEEE Transactions on Image Processing
Robust real-time segmentation of images and videos using a smooth-spline snake-based algorithm
IEEE Transactions on Image Processing
ε-Isometry based shape approximation for image content representation
Signal Processing
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We present a new shape representation technique for a planar shape using overlapping quadratic splines. The technique refines the shape by iteratively updating each spline to reduce the cost associated with C 1 discontinuity. It consists of a series of affine commutative linear operators, producing a smooth bandpass frequency response. The primary purpose of the technique is to remove minute high-curvature points while preserving salient ones. We compare the performance of the technique against those that are based on either linear splines, cubic splines, or wavelets. We consider three criteria: sensitivity of detecting salient high-curvature points, Hausdorff distance between the representation and the original shape, and computation time. The results show that the proposed technique is highly effective in preserving salient high curvature points with a relatively small Hausdorff distance and a computational cost.