IEEE Trans Image Process - Directional lapped orthogonal transform: theory and design.

Tópicos

{ structur(1116) can(940) graph(676) }
{ method(1557) propos(1049) approach(1037) }
{ method(984) reconstruct(947) comput(926) }
{ imag(2830) propos(1344) filter(1198) }
{ framework(1458) process(801) describ(734) }
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{ first(2504) two(1366) second(1323) }
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{ clinic(1479) use(1117) guidelin(835) }
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Resumo

This paper proposes a directional design method of 2-D nonseparable linear-phase paraunitary filter banks. The proposed method is based on a lattice structure consisting of the 2-D separable DCT block and nonseparable support extension processes. Because of the nonseparability, the bases are allowed to be directional with the critically fixed subsampling, overlapping, orthogonal, symmetric, real-valued, and compact support properties. First, a novel vanishing moment (VM) condition is introduced as a suitable directional constraint, where the moment is referred to as the trend VM. The condition forces wavelet filters, i.e., high-pass and bandpass filters, to annihilate trend-surface components. Second, some theoretical properties of TVMs are discussed for general 2-D paraunitary systems, and then, the properties are applied to the lattice parameters. In order to verify the significance, several design examples are shown, the trend-surface annihilation properties are numerically confirmed, and the denoising capability is evaluated for images through shrinkage. It is shown that our proposed transforms yield perceptually preferable results.

Resumo Limpo

paper propos direct design method d nonsepar linearphas paraunitari filter bank propos method base lattic structur consist d separ dct block nonsepar support extens process nonsepar base allow direct critic fix subsampl overlap orthogon symmetr realvalu compact support properti first novel vanish moment vm condit introduc suitabl direct constraint moment refer trend vm condit forc wavelet filter ie highpass bandpass filter annihil trendsurfac compon second theoret properti tvms discuss general d paraunitari system properti appli lattic paramet order verifi signific sever design exampl shown trendsurfac annihil properti numer confirm denois capabl evalu imag shrinkag shown propos transform yield perceptu prefer result

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