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  • Preface

    • Overview of This Book

    • Target Audience

    • Prerequisites

    • How the Book Is Organized

    • Distinct Features and Benefits of This Book

  • Acknowledgments

  • Contents

  • List of Figures

  • List of Tables

  • List of Algorithms

  • 1 Introduction

    • 1.1 Motivation and Current Practices

    • 1.2 Multidimensional System Level Design Overview

  • 2 Design of Image Processing Applications

    • 2.1 Classification of Image Processing Algorithms

    • 2.2 JPEG2000 Image Compression

    • 2.3 Parallelism of Image Processing Applications

    • 2.4 System Implementation

      • 2.4.1 Design Gap Between Available Software Solution and Desired Hardware Implementation

      • 2.4.2 Lack of Architectural Verification

      • 2.4.3 Missing Possibility to Explore Consequences of Implementation Alternatives

      • 2.4.4 Manual Design of Memory System

      • 2.4.5 Lack to Simulate the Overall System

      • 2.4.6 Inability to Precisely Predict Required Computational Effort for Both Hardware and Software

    • 2.5 Requirements for System Level Design of Image Processing Applications

      • 2.5.1 Representation of Global, Local, and Point Algorithms

      • 2.5.2 Representation of Task, Data, and Operation Parallelism

      • 2.5.3 Capability to Represent Control Flow in Multidimensional Algorithms

      • 2.5.4 Tight Interaction Between Static and Data-Dependent Algorithms

      • 2.5.5 Support of Data Reordering

      • 2.5.6 Fast Generation of RTL Implementations for Quick Feedback During Architecture Design

      • 2.5.7 High-Level Verification

      • 2.5.8 High-Level Performance Evaluation

      • 2.5.9 Tool-Supported Design of Memory Systems

    • 2.6 Multidimensional System Level Design

  • 3 Fundamentals and Related Work

    • 3.1 Behavioral Specification

      • 3.1.1 Modeling Approaches

      • 3.1.2 Sequential Languages

        • 3.1.2.1 Communicating Sequential Processes

        • 3.1.2.2 SystemC

      • 3.1.3 One-Dimensional Data Flow

        • 3.1.3.1 Synchronous Data Flow (SDF)

        • 3.1.3.2 Cyclo-static Data Flow (CSDF)

        • 3.1.3.3 Fractional Rate Data Flow (FRDF)

        • 3.1.3.4 Parameterized Data Flow

        • 3.1.3.5 Homogeneous Parameterized Data Flow (HPDF)

        • 3.1.3.6 Data-Dependent Data Flow

        • 3.1.3.7 FunState

        • 3.1.3.8 Lessons Learned

      • 3.1.4 Multidimensional Data Flow

        • 3.1.4.1 Multidimensional Synchronous Data Flow (MDSDF)

        • 3.1.4.2 Communicating Regular Processes (CRPs)

        • 3.1.4.3 Array-OL

      • 3.1.5 Conclusion

        • 3.1.5.1 Border Processing

        • 3.1.5.2 Communication Order

        • 3.1.5.3 Dependency Modeling vs. Data Flow Interpretation

        • 3.1.5.4 Tight Interaction Between One- and Multidimensional Data Flow

        • 3.1.5.5 Restriction of Accepted Window Patterns

        • 3.1.5.6 Flexible Delays

    • 3.2 Behavioral Hardware Synthesis

      • 3.2.1 Overview

      • 3.2.2 SA-C

      • 3.2.3 ROCCC

      • 3.2.4 DEFACTO

        • 3.2.4.1 Design Flow

        • 3.2.4.2 Data Reuse

        • 3.2.4.3 Evaluation and Relation with the Present Book

      • 3.2.5 Synfora PICO Express

        • 3.2.5.1 Design Flow

        • 3.2.5.2 Evaluation and Relation with the Present Book

      • 3.2.6 MMAlpha

      • 3.2.7 PARO

      • 3.2.8 Conclusion

    • 3.3 Memory Analysis and Optimization

      • 3.3.1 Memory Analysis for One-Dimensional Data Flow Graphs

      • 3.3.2 Array-Based Analysis

      • 3.3.3 Conclusion

    • 3.4 Communication and Memory Synthesis

      • 3.4.1 Memory Mapping

      • 3.4.2 Parallel Data Access

      • 3.4.3 Data Reuse

      • 3.4.4 Out-of-Order Communication

      • 3.4.5 Conclusion

    • 3.5 System Level Design

      • 3.5.1 Embedded Multi-processor Software Design

        • 3.5.1.1 Omphale

        • 3.5.1.2 ATOMIUM

      • 3.5.2 Model-Based Simulation and Design

        • 3.5.2.1 Image Processing Centric Approaches

        • 3.5.2.2 System Level Design Tools for Multidimensional Signal Processing

      • 3.5.3 System Level Mapping and Exploration

    • 3.6 Conclusion

  • 4 Electronic System Level Design of Image Processing Applications with SystemCoDesigner

    • 4.1 Design Flow

      • 4.1.1 Actor-Oriented Model

      • 4.1.2 Actor Specification

      • 4.1.3 Actor and Communication Synthesis

      • 4.1.4 Automatic Design Space Exploration

      • 4.1.5 System Building

      • 4.1.6 Extensions

    • 4.2 Case Study for the Motion-JPEG Decoder

      • 4.2.1 Comparison Between VPC Estimates and Real Implementation

        • 4.2.1.1 Evaluation of the Schedule Overhead

        • 4.2.1.2 Evaluation of the Influence of the Cache

      • 4.2.2 Influence of the Input Motion-JPEG Stream

    • 4.3 Conclusions

  • 5 Windowed Data Flow (WDF)

    • 5.1 Sliding Window Communication

      • 5.1.1 WDF Graph and Token Production

      • 5.1.2 Virtual Border Extension

      • 5.1.3 Token Consumption

      • 5.1.4 Determination of Extended Border Values

      • 5.1.5 WDF Delay Elements

    • 5.2 Local WDF Balance Equation

    • 5.3 Communication Order

    • 5.4 Communication Control

      • 5.4.1 Multidimensional FIFO

      • 5.4.2 Communication Finite State Machine for Multidimensional Actors

    • 5.5 Windowed Synchronous Data Flow (WSDF)

    • 5.6 WSDF Balance Equation

      • 5.6.1 Derivation of the WSDF Balance Equation

      • 5.6.2 Application to an Example Graph

        • 5.6.2.1 Actor Periods

    • 5.7 Integration into SystemCoDesigner

    • 5.8 Application Examples

      • 5.8.1 Binary Morphological Reconstruction

        • 5.8.1.1 Definition of the Binary Morphological Reconstruction

        • 5.8.1.2 Calculation by Iterative One-Dilatation

        • 5.8.1.3 Iterative Dilatation with Two Passes

        • 5.8.1.4 FIFO-Based Morphological Reconstruction

      • 5.8.2 Lifting-Based Wavelet Kernel

    • 5.9 Limitations and Future Work

    • 5.10 Conclusion

  • 6 Memory Mapping Functions for Efficient Implementation of WDF Edges

    • 6.1 Problem Formulation

    • 6.2 Hierarchical Iteration Vectors

    • 6.3 Memory Models

      • 6.3.1 The Rectangular Memory Model

      • 6.3.2 The Linearized Buffer Model

    • 6.4 Simulation Results

    • 6.5 Conclusion

  • 7 Buffer Analysis for Complete Application Graphs

    • 7.1 Problem Formulation

    • 7.2 Buffer Analysis by Simulation

    • 7.3 Polyhedral Representation of WSDF Edges

      • 7.3.1 WSDF Lattice

      • 7.3.2 Lattice Scaling

      • 7.3.3 Out-of-Order Communication

      • 7.3.4 Lattice Shifting Based on Dependency Vectors

      • 7.3.5 Pipelined Actor Execution

    • 7.4 Lattice Wraparound

      • 7.4.1 Principle of Lattice Wraparound

      • 7.4.2 Formal Description of the Lattice Wraparound

      • 7.4.3 Lattice Shifting for Lattices with Wraparound

    • 7.5 Scheduling of Complete WSDF Graphs

      • 7.5.1 Lattice Scaling

      • 7.5.2 Lattice Shifting

        • 7.5.2.1 Determination of Strongly Connected Components

        • 7.5.2.2 Internal Scheduling of the Strongly Connected Components

        • 7.5.2.3 Shifting of the Strongly Connected Components

    • 7.6 Buffer Size Calculation

      • 7.6.1 ILP Formulation for Buffer Size Calculation

      • 7.6.2 Memory Channel Splitting

    • 7.7 Multirate Analysis

    • 7.8 Solution Strategies

    • 7.9 Results

      • 7.9.1 Out-of-Order Communication

      • 7.9.2 Application to Complex Graph Topologies

      • 7.9.3 Memory Channel Splitting

      • 7.9.4 Multirate Analysis

      • 7.9.5 Limitations

    • 7.10 Conclusion

  • 8 Communication Synthesis

    • 8.1 Problem Formulation

    • 8.2 Hardware Architecture

      • 8.2.1 Read and Write Order Control

        • 8.2.1.1 Automatic Derivation of the Hierarchical Iteration Maxima and Mapping Matrices

        • 8.2.1.2 Extended Iteration Vectors

      • 8.2.2 Memory Partitioning

      • 8.2.3 Source Address Generation

      • 8.2.4 Virtual Memory Channel Mapping

        • 8.2.4.1 Strategy for Virtual Memory Channel Mapping

        • 8.2.4.2 Condition for Valid Virtual Memory Channel Mapping

        • 8.2.4.3 Application to the JPEG Shuffle Operation

      • 8.2.5 Trading Throughput Against Resource Requirements

      • 8.2.6 Sink Address Generation

      • 8.2.7 Fill-Level Control

        • 8.2.7.1 Sink Fill-Level Control

        • 8.2.7.2 Solution of the PIP

        • 8.2.7.3 Source Fill-Level Control

      • 8.2.8 Elimination of Modular Dependencies

    • 8.3 Determination of Channel Sizes

    • 8.4 Granularity of Scheduling

      • 8.4.1 Latency Impact of Coarse-Grained Scheduling

      • 8.4.2 Memory Size Impact of Coarse-Grained Scheduling

      • 8.4.3 Controlling the Scheduling Granularity

    • 8.5 Results

      • 8.5.1 Implementation Strategy for High Clock Frequencies

      • 8.5.2 Out-of-Order Communication

      • 8.5.3 Out-of-Order Communication with Parallel Data Access

      • 8.5.4 Influence of Different Memory Channel Sizes

      • 8.5.5 Combination with Data Reuse

      • 8.5.6 Impact of Scheduling Granularity

    • 8.6 Conclusion and Future Work

  • 9 Conclusion

    • 9.1 Multidimensional System Design

    • 9.2 Discussed Design Steps and Their Major Benefits

  • A Buffer Analysis by Simulation

    • A.1 Efficient Buffer Parameter Determination for the Rectangular Memory Model

      • A.1.1 Monitoring of Live Data Elements

      • A.1.2 Table-Based Buffer Parameter Determination

      • A.1.3 Determination of the Minimum Tables

      • A.1.4 Determination of the Maximum Tables

      • A.1.5 Complexity

    • A.2 Efficient Buffer Parameter Determination for the Linearized Buffer Model

      • A.2.1 Tree Data Structure for Tracking of Live Data Elements

      • A.2.2 Determination of the Lexicographically Smallest Live Data Element

      • A.2.3 Tree Update

      • A.2.4 Complexity of the Algorithm

    • A.3 Stimulation by Simulation

  • B Abbreviations

  • C Formula Symbols

  • References

  • Index

Nội dung

Embedded Systems Series Editors Nikil D Dutt Peter Marwedel Grant Martin For further volumes: http://www.springer.com/series/8563 Joachim Keinert ˙ Jürgen Teich Design of Image Processing Embedded Systems Using Multidimensional Data Flow 123 Joachim Keinert Michaelstraße 40 D-90425 Nürnberg Germany joachim.keinert@yahoo.de Jürgen Teich Department of Computer Science 12 University of Erlangen-Nuremberg Am Weichselgarten D-91058 Erlangen Germany teich@informatik.uni-erlangen.de ISBN 978-1-4419-7181-4 e-ISBN 978-1-4419-7182-1 DOI 10.1007/978-1-4419-7182-1 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2010937183 c Springer Science+Business Media, LLC 2011  All rights reserved This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com) Preface Overview of This Book With the availability of chips offering constantly increasing computational performance and functionality, design of more and more complex applications becomes possible This is particularly true for the domain of image processing, which is characterized by huge computation efforts Unfortunately, this evolution risks to be stopped by the fact that employed design methodologies remain on a rather low level of abstraction The resulting design gap causes increasing development costs or even project failure and thus threatens the technical progress Consequently, new design methodologies are urgently required A corresponding review about the state of the art reveals that different approaches are competing in order to solve the above-mentioned challenges The proposed techniques range from behavioral compilers accepting standard C or Matlab code as input, over block-based design methods such as Simulink and SystemC, to data flow specifications and polyhedral analysis Each of them offers important benefits, such as quick and easy hardware prototyping, higher levels of abstractions, and enhanced system and algorithm analysis on different levels of granularity However, a solution combining the advantages of all these approaches is still missing As a consequence, system level design of image processing applications still causes various challenges Corresponding examples are the lack to handle the resulting system complexity or to cover important algorithmic properties Equally, the synthesis of high-performance hardware implementations is still difficult Fortunately, recent research is able to demonstrate that multidimensional data flow seems to be a promising technique solving these drawbacks, because it combines the advantages of block-based specification, data flow-related system analysis, and polyhedral optimization on different levels of granularity These benefits enable, for instance, the verification of the application specification on a very high level of abstraction, the calculation of required memory sizes for correct algorithm implementation considering different design tradeoffs, and the synthesis of high-performance communication infrastructures and algorithm implementations However, despite these advantages, multidimensional data flow still lives quite in the shadows and is rarely adopted in both commercial and academic systems Consequently, this book aims to give an encompassing description of the related techniques in order to demonstrate how multidimensional data flow can boost system implementation In particular, this book identifies some of the requirements for system level design of image processing algorithms and gives an encompassing review in how far they are met by different approaches found in literature and industry Next, a multidimensional data flow model of computation is intro- v vi Preface duced that is particularly adapted for image processing applications Its ability to represent both static and data-dependent point, local, and global algorithms as well as the possibility for seamless interaction with already existing one-dimensional models of computation permit the description of complex systems Based on these foundations, it is shown how system analysis and synthesis can be simplified by automatic tool support In particular, it is explained in detail, how the amount of memory required for correct implementation can be derived by means of polyhedral analysis and how communication primitives for high-speed multidimensional communication can be generated Application to different examples such as a lifting-based wavelet transform, JPEG2000 encoding, JPEG decoding, or multi-resolution filtering illustrates the concrete application of these techniques and demonstrates the capability to deliver better results in shorter time compared to related approaches while offering more design flexibility Target Audience As a consequence of the encompassing description of a system level design methodology using multidimensional data flow, the book addresses particularly all those active or interested in the research, development, or deployment of new design methodologies for data-intensive embedded systems These are intended to process huge amounts of data organized in form of array streams Image processing applications are particular prominent examples of this algorithm class and are thus in the focus of this book In addition to this primary target audience, the book is also useful for system design engineers by describing new technologies for inter-module communication as well as design tradeoffs that can be exploited in embedded systems And finally, the book wants to promote multidimensional data flow and makes it more accessible for education and studies by giving an encompassing description of related techniques, use cases, and applications Prerequisites Since this book bridges different technologies such as data flow modeling, polyhedral analysis, and hardware synthesis, important concepts necessary in the context of multidimensional data flow are shortly summarized before their application By this means it is avoided to unnecessarily complicate understanding of the presented material Nevertheless, it is assumed that the reader is skilled in fundamental maths such as vector spaces and matrix multiplication Integer linear optimization is used in both memory analysis and communication synthesis While the fundamentals are shortly summarized in this book, additional knowledge can deliver more detailed insights Furthermore, familiarity with basic concepts of image processing helps in understanding the presented material For a clearer picture of the overall concepts, some experiences in software and hardware implementation are helpful, although not strictly necessary How the Book Is Organized The content of this book can be categorized in four major parts as depicted in Fig 1: Preface • • • • vii Introductory background information Related techniques Multidimensional modeling Analysis and synthesis Fig Arrows depict concepts and information used in the corresponding target book parts Bold arrows define information that is fundamental for understanding the chapter which the arrow points to The first part containing the introductory background information basically aims to clarify the purpose and the main focus of the described technologies To this end, Chapter (Introduction) explains the need for new design technologies and overviews the overall design flow described in this book Chapter (Design of Image Processing Applications) adds some general considerations about the design of image processing embedded systems and exemplifies a JPEG2000 encoder in order to clarify the type of algorithms that are addressed in this book The insights gained during its manual development have been formulated into a corresponding set of requirements that shall be taken into account in the rest of this monograph viii Preface The second part about related techniques summarizes concepts useful for system level design of image processing applications To this end, Chapter (Fundamentals and Related Work) reviews related approaches and evaluates their benefits for system level design of image processing applications In particular, it investigates a huge amount of different specification techniques ranging from sequential languages enriched by communicating sequential processes up to multidimensional data flow models Furthermore, it evaluates their ability to describe complex image processing applications Additionally, Chapter also summarizes the capacities of several behavioral compilers, buffer analysis techniques, and communication synthesis approaches Furthermore, it discusses several system level design methodologies Subsequently, Chapter presents an overview on the ESL tool S YSTEM C O D ESIGNER, since it shall serve as an example how to combine multidimensional system design with available ESL techniques Furthermore, a case study in form of a Motion-JPEG decoder demonstrates the potential of ESL design for image processing applications and discusses lessons learned for both application modeling and synthesis Both Chapters and are thus intended to provide further insights into system level design of embedded systems In particular, they aim to clarify the benefits of multidimensional data flow and its interaction with existing technologies Consequently, both chapters can be consulted as needed The only exception represents Section 3.1.3 (One-Dimensional Data Flow) that is recommended for all those not being familiar with one-dimensional data flow models of computation Detailed discussion of multidimensional system level design then starts with the third and central book part about multidimensional modeling, subdivided into two chapters Chapter (Windowed Data Flow (WDF)) introduces the windowed data flow (WDF) model of computation used for application modeling in the remainder of this monograph This includes both a theoretical discussion and the application to two concrete examples, namely the binary morphological reconstruction and the JPEG2000 lifting-based wavelet transform In particular Sections 5.1 (Sliding Window Communication), 5.2 (Local WDF Balance Equation), 5.3 (Communication Order), and 5.4 (Communication Control) introduce fundamental concepts required in the remainder of this monograph The same holds for Sections 6.1 (Problem Formulation), 6.2 (Hierarchical Iteration Vectors), and 6.3 (Memory Models) It discusses fundamental concepts of memory organization within multidimensional arrays as required in the remaining chapters In particular, a study is performed that compares two different memory allocation functions in terms of memory efficiency Based on those multidimensional modeling concepts, the fourth part of this book then addresses system analysis and synthesis More precisely, Chapter (Buffer Analysis for Complete Application Graphs) is dedicated to the question of automatic buffer size determination required for correct system implementation Taking the results of Chapter into account, Chapter presents a method for polyhedral buffer size requirement calculation in case of complex graph topologies Application to several examples like the lifting-based wavelet transform, JPEG2000 block building, and multi-resolution image filtering demonstrates that the resulting analysis times are suitable for system level design of complex applications and competitive with alternative approaches Furthermore, it will be shown that analytical methods deliver better solutions in shorter time compared to buffer analysis via simulation, while offering more design tradeoffs The so-derived buffer sizes can be directly used for efficient communication synthesis To this end, Chapter (Communication Synthesis) considers the derivation of high-speed hardware communication primitives from WDF specifications This allows to interconnect hardware modules by a high-performance point-to-point communication The corresponding technology can be used both for classical hardware design and for system level design with Preface ix multidimensional data flow To this end, Chapter presents all analysis steps required to transform a WDF edge into an efficient hardware implementation Application to different examples originating from a JPEG2000 encoder and a JPEG decoder demonstrates the benefits of the methodology Furthermore, Chapter illustrates how the hardware communication primitive can be combined with a behavioral synthesis tool in order to handle overlapping sliding windows The book is concluded by Chapter Appendix A (Buffer Analysis by Simulation) then delivers some supplementary information concerning a buffer analysis performed during simulation as applied in Chapter Appendix B summarizes the abbreviations used within this book while Appendix C contains repeatedly used formula symbols Distinct Features and Benefits of This Book Although combining the benefits of various design methodologies such as block-based system design, high-level simulation, system analysis, and polyhedral optimization, multidimensional data flow is still not very widely known Whereas there exist several books discussing the one-dimensional counterparts, similar literature is not available for multidimensional modeling Consequently, this book aims to provide a detailed insight into these design methodologies Furthermore, it wants to provide an encompassing review on related work and techniques in order to show their relation to multidimensional data flow By these means, the book is intended to contribute to the promotion of multidimensional data flow in both academic and industrial projects Furthermore, it aims to render the subject more accessible for education In more detail, this monograph provides the following contributions: • First encompassing book on multidimensional data flow covering different models of computation In particular, both modeling, synthesis, and analysis are discussed in detail demonstrating the potential of the underlying concepts • The book bridges different technologies such as data flow modeling, polyhedral analysis, and hardware synthesis, which are normally only considered independently of each other in different manuscripts Consequently, their combination possess significant difficulties, since even the terminology used in the different domains varies By combining the abovementioned technologies in one book and describing them in a consistent way, the book can leverage new potential in system design • Analysis in how far multidimensional data flow can better fit the designers’ requirements compared to alternative description techniques, such as well-known one-dimensional data flow or communicating sequential processes • Description of how multidimensional data flow can coexist with classical one-dimensional models of computation • Explanation of a novel architecture for efficient and flexible high-speed communication in hardware that can be used in both manual and automatic system design and that offers various design alternatives trading achievable throughput against required hardware sizes • Detailed description of how to calculate required buffer sizes for implementation of static image processing applications Various illustrations help to apply the method both in ESL tools and in manual system design • Compared to books on geometric memory analysis, a significant extension assures that this method can be applied for data reordering and image subsampling in hardware implementations x Preface • New concepts for embedded system design, such as trading communication buffer sizes against computational logic by different scheduling mechanisms • Various experimental results in order to demonstrate the capabilities of the described architectures and design methods In particular, several example applications such as JPEG2000 encoding, Motion-JPEG decoding, binary morphological reconstruction, and multi-resolution filtering are discussed The content of this book has been created, edited and verified with highest possible care Nevertheless, errors and mistakes of any kind cannot be excluded This includes, but is not restricted to, missing information, wrong descriptions, erroneous results, possible algorithmic mistakes or citation flaws causing that algorithms may not work as expected Erlangen, Germany Joachim Keinert Jürgen Teich Acknowledgments This book is the result of a 5-year research activity that I could conduct in both the Fraunhofer Institute for Integrated Circuits IIS in Erlangen and at the Chair for Hardware-SoftwareCo-Design belonging to the University of Erlangen-Nuremberg This constellation allowed me to combine the theory of system level design with the requirements for design of highperformance image processing applications In particular, the experiences gained during the development of multiple embedded devices for image processing within the Fraunhofer research organization have been a valuable inspiration for the presented technologies Therefore, I want to express my gratitude toward all those who supported me within this period of time I especially want to thank Prof Jürgen Teich for supervising the underlying research activity and for his motivation to tackle the right mathematical problems, in particular data flow graph models of computation and polyhedral analysis My superior at the Fraunhofer Institute for Integrated Circuits, Dr Siegfried Fưßel, also merits special thanks for the provided support and for his help in making this book possible Dr Christian Haubelt from the University of Erlangen-Nuremberg contributed to this book by means of multiple reviews and by his coordination of the S YSTEM C O D ESIGNER tool This enabled its extension with a multidimensional design methodology in order to demonstrate the underlying concepts and techniques In this context I could particularly profit from the work of Joachim Falk, designer of the S YSTE M O C library and of a huge tool set for manipulation of the resulting graph topologies Similarly, the cooperation with Hritam Dutta and Dr Frank Hannig has been an important prerequisite for combining data flow-based system design with polyhedral analysis In addition, the various discussions with Prof Shuvra Bhattacharyya, member of the University of Maryland, helped to better understand and evaluate the advantages of multidimensional system design And of course I also want to thank Mr Charles Glaser from Springer for his assistance in achieving this book Erlangen, Germany Joachim Keinert May 2010 xi ... long-standing trend of progress in the semiconductor industry.” J Keinert, J Teich, Design of Image Processing Embedded Systems Using Multidimensional Data Flow, Embedded Systems, C Springer... Design of Image Processing Embedded Systems Using Multidimensional Data Flow 123 Joachim Keinert Michaelstraße 40 D-90425 Nürnberg Germany joachim.keinert@yahoo.de Jürgen Teich Department of Computer... development, or deployment of new design methodologies for data- intensive embedded systems These are intended to process huge amounts of data organized in form of array streams Image processing applications

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