Reconstruction From Zero-Crossings in Scale-Space (Classic Reprint) - Couverture souple

Robert Hummel

 
9781332093083: Reconstruction From Zero-Crossings in Scale-Space (Classic Reprint)

Synopsis

Unlock how zero-crossings in scale-space unlock clearer image representations and faithful reconstructions. This book blends theory with practical algorithms to show how intermediate representations can reveal essential information while reducing data complexity. By focusing on the link between the data, its scale-space, and perceptual interpretation, it explains how reconstruction can preserve what we actually see.

The discussion frames a mathematical analysis of representations, including how they depend on the initial data and how stable reconstructions can be. It covers continuous and discrete formulations, the Heat Equation, and iterative methods that minimize data error. Readers will see how zero-crossings interact with gradient data, and how these ideas apply to real images and noisy measurements.


  • Learn how scale-space concepts and Gaussian pyramids support feature detection and analysis.

  • Understand reconstruction from zero-crossings and the role of right inverses in representations.

  • Explore equation-error minimization and gradient-based iterative reconstruction techniques.

  • See practical considerations, including noise handling and partial gradient data, in experiments.



Ideal for readers of vision science, pattern recognition, and image processing who want a rigorous, applied look at intermediate representations and their reconstruction.

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