Smooth Local Sinusoidal Bases on Two-Dimensional L-Shaped Regions

Xiang Gen Xia

doi:10.1007/bf02475927

Smooth Local Sinusoidal Bases on Two-Dimensional L-Shaped Regions

Xiang Gen Xia^*

^*Corresponding author for this work

University of Delaware

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, we construct two-dimensional continuous/smooth local sinusoidal bases (also called Malvar wavelets) defined on L-shaped regions. With this construction, one is able to construct local sinusoidal bases and lapped orthogonal transforms (LOT) on arbitrarily shaped regions. This work is motivated from and useful in object-based video coding, where a segmented moving object may have arbitrary shape and block transform coding of this object is needed.

Original language	English
Pages (from-to)	53-66
Number of pages	14
Journal	Journal of Fourier Analysis and Applications
Volume	4
Issue number	1
DOIs	https://doi.org/10.1007/bf02475927
Publication status	Published - 1998
Externally published	Yes

Keywords

Lapped orthogonal transform
Local sinusoidal bases
Malvar wavelets
Object-based video coding

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10.1007/bf02475927

Cite this

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abstract = "In this article, we construct two-dimensional continuous/smooth local sinusoidal bases (also called Malvar wavelets) defined on L-shaped regions. With this construction, one is able to construct local sinusoidal bases and lapped orthogonal transforms (LOT) on arbitrarily shaped regions. This work is motivated from and useful in object-based video coding, where a segmented moving object may have arbitrary shape and block transform coding of this object is needed.",

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AB - In this article, we construct two-dimensional continuous/smooth local sinusoidal bases (also called Malvar wavelets) defined on L-shaped regions. With this construction, one is able to construct local sinusoidal bases and lapped orthogonal transforms (LOT) on arbitrarily shaped regions. This work is motivated from and useful in object-based video coding, where a segmented moving object may have arbitrary shape and block transform coding of this object is needed.

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KW - Local sinusoidal bases

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KW - Object-based video coding

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Smooth Local Sinusoidal Bases on Two-Dimensional L-Shaped Regions

Abstract

Keywords

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