Convex Quadratic Programming for Image Segmentation

Abstract. A quadratic programming formulation for multiclass image segmentation is investigated. It is proved that, in the con- vex case, the global minima of Quadratic Markov Measure Field (QMMF) models holds the non-negativity constraint. This allows one to design e ffi cient optimization algorith...

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Detalles Bibliográficos
Autor: MARIANO JOSE JUAN RIVERA MERAZ
Tipo de recurso: informe técnico
Estado:Versión publicada
Fecha de publicación:2009
País:México
Institución:Centro de Investigación en Matemáticas
Repositorio:Repositorio Institucional CIMAT
Idioma:inglés
OAI Identifier:oai:cimat.repositorioinstitucional.mx:1008/608
Acceso en línea:http://cimat.repositorioinstitucional.mx/jspui/handle/1008/608
Access Level:acceso abierto
Palabra clave:info:eu-repo/classification/MSC/Segmentación de Imágenes
info:eu-repo/classification/cti/1
info:eu-repo/classification/cti/12
info:eu-repo/classification/cti/1203
info:eu-repo/classification/cti/120302
Descripción
Sumario:Abstract. A quadratic programming formulation for multiclass image segmentation is investigated. It is proved that, in the con- vex case, the global minima of Quadratic Markov Measure Field (QMMF) models holds the non-negativity constraint. This allows one to design e ffi cient optimization algorithms. We also proposed a (free parameter) inter–pixel a ffi nity measure more related with the classes memberships than with color or gray gradient based standard methods. Moreover, it is introduced a formulation for computing the pixel likelihoods by taking into account local con- text and texture properties. We demonstrate the QMMFs capabil- ities by experiments and numerical comparisons with interactive two-class segmentation as well as in the simultaneous estimation of segmentation and (parametric and non-parametric) generative models.