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Lossless Layered Residual System. Gary Demos HPA 24Feb2006 Palm Springs, CA. Arbitrary Precision Direct Support of Integers of Arbitrary Precision (8bits up to 16 bits tested) Floating via Direct Lossless Layered Support of OpenExr 16-bit Half-Float Wide Dynamic Range Half-Float

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Lossless layered residual system

Lossless Layered Residual System

Gary Demos

HPA

24Feb2006

Palm Springs, CA


Features

Arbitrary Precision

Direct Support of Integers of Arbitrary Precision (8bits up to 16 bits tested)

Floating via Direct Lossless Layered Support of OpenExr 16-bit Half-Float

Wide Dynamic Range Half-Float

Integrated With Floating-Point Layered Codec

(as presented Oct 2004 SMPTE Pasadena)

Features


Use of bins

Uses Bins Like the OpenExr 16-bit Half-Float “Piz” Compressor

Bin List Is Sorted, and Contains All Pixel Values From Original Image

Bins Can Contain Integers or Floating-Point of Arbitrary Precision

Floating Point Values Can Have Any Arbitrary Dynamic Range

Negative Values Are Fully Supported

Currently Optimized For Integers from 8 to 16 bits, and 16-bit Half-Float

Bins Are Referenced Solely By Integer Index (“Bin Number”)

Unused Codes In Wide Range Representations (e.g. 16-bit Half-Float) Automatically Eliminated From Bin List

Use of Bins


Bin List Compressor

Lossy Codec

Floating Value

Nearest Bin

Desired (Lossless) Bin

Integer

Bin

Delta


Floating Lossy Value Compressor

On A Cusp

(nearly equidistant)

Floating Point

Original Values

If on a Cusp, Flag This Pixel’s Primary

Indicate Whether to Go Up or Down

or

Code The Final Bin Directly

Only a Small Proportion of Pixels Will Be on a Cusp

Solely a Function of Lossy Floating-Point Precision (e.g. 32-bit Floating)

Necessary Because of Processor and Compiler Inconsistencies (e.g. P4 vs G5)


Noise reduced driven intermediate

How To Find A Useful Intermediate Bin On the Way To Lossless?

A Proportion Of the Distance

And / Or

Driven By A Noise-Reduced Original Image

Constrain To Range Between Lossy Nearest Bin and Lossless Bin

Noise-Reduced-Driven-Intermediate


Bin List Lossless?

Lossy Codec

Floating Value

Nearest Bin

Noise-Reduced

Original

Intermediate Bin

Desired (Lossless) Bin

Two

Bin

Deltas


Integer Lossless?

or

Floating Point

Original

Noise-Reduced

Lossy Codec

Floating Point

Floating Point

Bin-Delta

Intermediate(s)

Bin-Delta

Lossless

(bit exact)


Bin list subset s

Reduce Intermediate Bin Deltas By Shifting or Scaling Lossless?

And / Or

Create a Subset of the Bin List From The Original

More Than One Subset Can Support More Than One Intermediate

Subsets Can Be Matched To Noise Floor

Or Can Take Ever-Deeper “Bites” Out of the Noise Floor

Values Can Be Added To Subset (If Not Present In Original) For Useful Step(s)

Bin List Subset(s)




Results

• Stem MMR4 4096x1714 12-bit RGB packed within 16-bit Tiff16 (Film)

• Patuxent River Air Ops 1920x1080 @30fps 10bit Viper Filmstream to 16-bit Half-Float

• Garden Music 1280x720 @59.94fps 10-bit Viper Filmstream to 8-bit DPX (8bit in 10bit)

• Sphere 4096 x 2160 16-bit RGB as Tiff16 (noiseless CGI)

Results


Stem MMR4: Tiff16 (Film)



PaxRiver 1920 x 1080 10-bit Filmstream color adjusted using conversion to linear

with rgb scale factors into OpenExr 16-bit half-float:



Garden Music (8-bit): conversion to linear


Sphere Test Dataset (16-bit): conversion to linear


Sphere Test Dataset (8-bit): conversion to linear



Conclusions: conversion to linear

• Lossless bin-delta-style residual can be integraded with

floating-point wavelet-style codec

• Efficiency is good, rivalling or exceeding other lossless codecs

• Supports arbitrarily wide dynamic range (including negative

numbers)

• Noise-reduction integrated with codec, including integration

with lossless bin-delta system

• Noise-reduced-driven intermediate layer forms a highly

useful (perhaps optimal) step on the way to the lossless original

• Intermediates can be as finely layered as desired


Contact SMPTE or see me if you don’t have a copy of my conversion to linear

October 2004 Pasadena SMPTE codec paper and would like one

Questions?


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