Advertisement

Geospatial Algebraic Computations

Theory and Applications

  • Joseph L. Awange
  • Béla Paláncz

Table of contents

  1. Front Matter
    Pages i-xx
  2. Joseph L. Awange, Béla Paláncz
    Pages 1-5
  3. Algebraic Symbolic and Numeric Methods

    1. Front Matter
      Pages 7-7
    2. Joseph L. Awange, Béla Paláncz
      Pages 9-16
    3. Joseph L. Awange, Béla Paláncz
      Pages 17-35
    4. Joseph L. Awange, Béla Paláncz
      Pages 37-52
    5. Joseph L. Awange, Béla Paláncz
      Pages 53-68
    6. Joseph L. Awange, Béla Paláncz
      Pages 69-87
    7. Joseph L. Awange, Béla Paláncz
      Pages 89-112
    8. Joseph L. Awange, Béla Paláncz
      Pages 113-124
    9. Joseph L. Awange, Béla Paláncz
      Pages 125-153
    10. Joseph L. Awange, Béla Paláncz
      Pages 155-202
    11. Joseph L. Awange, Béla Paláncz
      Pages 203-216
    12. Joseph L. Awange, Béla Paláncz
      Pages 217-241
  4. Geospatial Applications

    1. Front Matter
      Pages 243-243
    2. Joseph L. Awange, Béla Paláncz
      Pages 245-261
    3. Joseph L. Awange, Béla Paláncz
      Pages 263-281
    4. Joseph L. Awange, Béla Paláncz
      Pages 283-332
    5. Joseph L. Awange, Béla Paláncz
      Pages 333-393
    6. Joseph L. Awange, Béla Paláncz
      Pages 395-413
    7. Joseph L. Awange, Béla Paláncz
      Pages 415-441
    8. Joseph L. Awange, Béla Paláncz
      Pages 443-457
    9. Joseph L. Awange, Béla Paláncz
      Pages 459-499
  5. Back Matter
    Pages 501-541

About this book

Introduction

Improved geospatial instrumentation and technology such as in laser scanning has now resulted in millions of data being collected, e.g., point clouds. It is in realization that such huge amount of data requires efficient and robust mathematical solutions that this third edition of the book extends the second edition by introducing three new chapters: Robust parameter estimation, Multiobjective optimization and Symbolic regression.  Furthermore, the linear homotopy chapter is expanded to include nonlinear homotopy. These disciplines are discussed first in the theoretical part of the book before illustrating their geospatial applications in the applications chapters where numerous numerical examples are presented. The renewed electronic supplement contains these new theoretical and practical topics, with the corresponding Mathematica statements and functions supporting their computations introduced and applied. This third edition is renamed in light of these technological advancements.

Keywords

Algebraic symbolic-numeric methods Geodetic computation Nonlinear equations Robust estimation Symbolic regression

Authors and affiliations

  • Joseph L. Awange
    • 1
  • Béla Paláncz
    • 2
  1. 1.Curtin UniversityPerthAustralia
  2. 2.and EconomicsBudapest University of TechnologyBudapestHungary

Bibliographic information