1 Introduction

1.1 Motivation

• Scanned surfaces can be noisy

• Marching Cubes meshes can be ugly

• Why is the left mesh ugly?
• Why is the right mesh ugly?
  • What is the problem with such triangles?

1.2 Visual Assessment of Surface Smoothness

Reflection Lines as an Inspection Tool

• **Shape optimization using reflection lines** E. Tosun, Y. I. Gingold, J. Reisman, D. Zorin Symposium on Geometry Processing 2007

1.3 How to measure smoothness?

Curvature and Smoothness

• Smoothing = reducing curvature?