A full second order variational model for multiscale texture analysis

作者：Bergounioux Maitine^*; Piffet Loic

来源：Computational Optimization and Applications, 2013, 54(2): 215-237.

DOI：10.1007/s10589-012-9484-9

• Second order total variation
• Image reconstruction
• Denoising
• Texture analysis
• Variational method

We present a second order image decomposition model to perform denoising and texture extraction. We look for the decomposition f=u+v+w where u is a first order term, v a second order term and w the (0 order) remainder term. For highly textured images the model gives a two-scale texture decomposition: u can be viewed as a macro-texture (larger scale) whose oscillations are not too large and w is the micro-texture (very oscillating) that may contain noise. We perform mathematical analysis of the model and give numerical examples.

• 出版日期2013-3