Surface Intersection with Validated Error Bounds

Table of Contents

Surface Intersection with Validated Error Bounds

Introduction  Motivation

Introduction  Background

Introduction Objective

Outline

Problem Formulation

Problem Formulation

Outline

Error Bounds in Parametric Space-Review of Standard Schemes

Error Bounds in Parametric Space-Interval Arithmetic (Introduction)

Error Bounds in Parametric Space-Interval Arithmetic (Solution of IVPs)

Error Bounds in Parametric Space -Validated Interval Scheme (Introduction)

Error Bounds in Parametric Space-Validated Interval Scheme (Overview)

Error Bounds in Parametric Space-Validated Interval Scheme (Phase I : Validation)

Error Bounds in Parametric Space-Validated Interval Scheme (Phase II : Tighter Bound)

Error Bounds in Parametric Space-Validated Interval Scheme (Application to SSI)

Error Bounds in Parametric Space

Outline

Error Bounds in 3D Model Space-Mapping into 3D Model Space

Outline

Results & Examples-Error Bounds in 3D Model Space

Results & Examples-Preventing Straying or Looping

Outline

Conclusions-Merits

Conclusions-Limitations and Future Work

References

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