2010

Algebraic Geodesy and Geoinformatics

ISBN: 978-3-642-12123-4 (Print) 978-3-642-12124-1 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages i-xviii

  2. No Access

    Book Chapter

    Pages 1-5

    Introduction

  3. Algebraic symbolic and numeric methods

    1. Front Matter

      Pages 7-7

    2. No Access

      Book Chapter

      Pages 9-16

      Basics of ring theory

    3. No Access

      Book Chapter

      Pages 17-32

      Basics of polynomial theory

    4. No Access

      Book Chapter

      Pages 33-47

      Groebner basis

    5. No Access

      Book Chapter

      Pages 49-62

      Polynomial resultants

    6. No Access

      Book Chapter

      Pages 63-77

      Linear homotpy

    7. No Access

      Book Chapter

      Pages 79-99

      Solutions of Overdetermined Systems

    8. No Access

      Book Chapter

      Pages 101-110

      Extended Newton-Raphson method

    9. No Access

      Book Chapter

      Pages 111-135

      Procrustes solution

  4. Applications to geodesy and geoinformatics

    1. Front Matter

      Pages 137-137

    2. No Access

      Book Chapter

      Pages 139-153

      LPS-GNSS orientations and vertical deflections

    3. No Access

      Book Chapter

      Pages 155-171

      Cartesian to ellipsoidal mapping

    4. No Access

      Book Chapter

      Pages 173-216

      Positioning by ranging

    5. No Access

      Book Chapter

      Pages 217-248

      Positioning by resection methods

    6. No Access

      Book Chapter

      Pages 249-263

      Positioning by intersection methods

    7. No Access

      Book Chapter

      Pages 265-287

      GNSS environmental monitoring

    8. No Access

      Book Chapter

      Pages 289-301

      Algebraic diagnosis of outliers

    9. No Access

      Book Chapter

      Pages 303-338

      Datum transformation problems

  5. Back Matter

    Pages 339-377