Constraints on deformable models: recovering 3D shape and nongrid motion
Artificial Intelligence
The Computation of Visible-Surface Representations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast fourier transforms: a tutorial review and a state of the art
Signal Processing
A fast algorithm for active contours and curvature estimation
CVGIP: Image Understanding
Adaptive filter theory (3rd ed.)
Adaptive filter theory (3rd ed.)
Encoding of a priori Information in Active Contour Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Velcro surfaces: fast initialization of deformable models
Computer Vision and Image Understanding - Special issue on physics-based modeling and reasoning in computer vision
Discrete-time signal processing (2nd ed.)
Discrete-time signal processing (2nd ed.)
Physics-Based Deformable Models: Applications to Computer Vision, Graphics, and Medical Imaging
Physics-Based Deformable Models: Applications to Computer Vision, Graphics, and Medical Imaging
Dynamic Free-Form Deformations for Animation Synthesis
IEEE Transactions on Visualization and Computer Graphics
A Fast, Flexible, Particle-System Model for Cloth Draping
IEEE Computer Graphics and Applications
Finite-Element Methods for Active Contour Models and Balloons for 2-D and 3-D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Synthetic Motion Capture for Interactive Virtual Worlds
CA '98 Proceedings of the Computer Animation
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
A multistage, optimal active contour model
IEEE Transactions on Image Processing
B-spline snakes: a flexible tool for parametric contour detection
IEEE Transactions on Image Processing
Locally regularized smoothing B-snake
EURASIP Journal on Applied Signal Processing
Convergence analysis of active contours
Image and Vision Computing
Characterization of Artificial Muscles Using Image Processing
IWINAC '07 Proceedings of the 2nd international work-conference on Nature Inspired Problem-Solving Methods in Knowledge Engineering: Interplay Between Natural and Artificial Computation, Part II
ACIVS'05 Proceedings of the 7th international conference on Advanced Concepts for Intelligent Vision Systems
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Active deformable models are simple tools, very popular in computer vision and computer graphics, for solving ill-posed problems or mimic real physical systems. The classical formulation is given in the spatial domain, the motor of the procedure is a second-order linear system, and rigidity and elasticity are the basic parameters for its characterization. This paper proposes a novel formulation based on a frequency-domain analysis: The internal energy functional and the Lagrange minimization are performed entirely in the frequency domain, which leads to a simple formulation and design. The frequency-based implementation offers important computational savings in comparison to the original one, a feature that is improved by the efficient hardware and software computation of the FFT algorithm. This new formulation focuses on the stiffness spectrum, allowing the possibility of constructing deformable models apart from the elasticity and rigidity-based original formulation. Simulation examples validate the theoretical results.