Related Experiment Video
Updated: Oct 14, 2026

From Voxels to Knowledge: A Practical Guide to the Segmentation of Complex Electron Microscopy 3D-Data
Published on: August 13, 2014
Morse operators for digital planar surfaces and their application to image segmentation
Luis Gustavo Nonato1, Antônio Castelo Filho, Rosane Minghim
1Departamento de Ciências da Computação e Estatística, ICMC, Universidade de São Paulo, São Carlos, Brazil.
Abstract:
This paper introduces the concept of digital planar surfaces and corresponding Morse operators. These operators offer a novel and powerful method for construction and de-construction of such surfaces in a way that global topological control of the resulting object is always maintained. In that respect, this paper offers a complete pixel characterization tool. Image handling is a natural application for such approach. We present a novel fast algorithm for image segmentation using Morse operators for digital planar surfaces. It classifies as a region growing technique with added topological control and is extremely useful for applications that need proper object description. Results from real data are stimulating, and show that the segmentation algorithm compares very well with other methods. The topological approach also forms a base for future expansion to applications such as volume segmentation.
Related Concept Videos
Methods of Obtaining Topography
Tangent Planes to Surfaces
Tangent Planes to Level Surfaces
Tangent Planes to a Parametric Surface
Oriented Surfaces

