Separating Rigid Motion for Continuous Shape Evolution
A method is proposed for the construction of descent directions for the minimization of energy functionals defined for plane curves. The method is potentially useful in a number of image analysis problems, such as image registration and shape warping, where the standard gradient descent curve evolut...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2007 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:24580 |
| Acceso en línea: | https://ddd.uab.cat/record/24580 https://dx.doi.org/urn:doi:10.5565/rev/elcvia.144 |
| Access Level: | acceso abierto |
| Palabra clave: | Visió per computadora Problemes variacionals Pendent en descens Pendent L2 Velocitat normal Moviment rígid Visión por computadora Problemas variacionales Pendiente en descenso Pendiente L2 Velocidad normal Movimiento rígido Formulario Computer Vision Variational Problems Gradient Descent L2-gradient Level Set Methods Normal Velocity Rigid Motion Shape Warping Registration |
| Sumario: | A method is proposed for the construction of descent directions for the minimization of energy functionals defined for plane curves. The method is potentially useful in a number of image analysis problems, such as image registration and shape warping, where the standard gradient descent curve evolutions are not always feasible. The descent direction is constructed by taking a weighted average of the three components of the gradient corresponding to translation, rotation, and deformation. Our approach differs from previous work in the field by the use of implicit representation of curves and the notion of normal velocity of a curve evolution. Thus our theory is morphological and well suited for implementation in the level set framework. |
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