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Local Laplacian Filters: Edge-aware Image Processing with a Laplacian Pyramid

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Paper by Sylvain Paris, Samuel W. Hasinoff, Jan Kautz Presenter: Jing Niu

Local Laplacian Filters: Edge-aware Image

Processing with a Laplacian Pyramid

(2)

An Example

Input:

(3)

An Example

output

(4)

Outline

Motivation

Laplacian Pyramids

Local Laplacian Filtering

Algorithm

Applications

(5)

Motivation

Belived to be unsuitable for:

Representing edges

Edge-aware operations (edge-preserving smoothing, tone mapping)

Reason:

– Build upon isotropic, spatially invariant gaussian kernel

Goal:

Flexible approach

edge-aware image processing using

– simple point-wise manipulation of Laplacian pyramids

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Laplacian and Guassian Pyramids

Gaussian Pyramid:

A set of image levels

Represent lower resolution

High frequency details disappear

upsample subsample

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Laplacian Pyramid

Downsampling:decomposition

G

0

G

2

G

1

L

1

L Ref[1]

Residual

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Laplacian Pyramid

Upsampling:

G

1

L

0

G

0

L

1

G

2

Ref[1]

(9)

Local Laplacian Filtering

Range compression and clipping

Input Signal

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Local Laplacian Filtering

Range compression and clipping

Right

clippling

Input Signal

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Local Laplacian Filtering

Range compression and clipping

Right

clippling

Input Signal

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Local Laplacian Filtering

Range compression and clipping

Left Clipping

Right clipping

Input Signal

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Local Laplacian Filtering

Range compression and clipping

Right clipping Left clipping

Input Signal merged

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Point-wise Remapping function

edge--aware detail manipulation

detail smoothing detail enhancement

edge--aware tone manipulation

tone mapping inverse tone mapping

combined operator

detail enhance + tone map

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An overview of the algorithm

Approach: construct laplacian pyramid of filtered output

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Illustration

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Illustration

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Illustration

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Illustration

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Illustration

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Illustration

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Illustration

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Application

Detail manipulation

Tone mapping

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Application

Detail manipulation

Tone mapping

β, σ

r

similar

effects on tone

mapping results

α is set to 1

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More Results

bilateral filter and close up

Our result

and close up

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More Results

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Conclusion

Edge aware

Based solely on laplacian pyramid

Simple method

Robustness

Artifact-free

high quality image

open new perspectives on multi-scale image

analysis and editing

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Reference

Pyramid-based Image Synthesis Theory

Shuguang Mao and Morgan Brown

Advanced Image Analysis Christian Schmaltz

Local Laplacian Filters: Edge-aware Image Processing with a Laplacian Pyramid

Sylvain Paris, Samuel W. Hasinoff, Jan Kautz

(29)

Thank you

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