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Discontinuity detection is studied across disciplines of thermodynamics, chemistry, geology, manufacturing, equipment maintenance, signal processing, computer architecture (bit recognition), finance (jump processes to model markets) and image processing. In image processing an edge is often modeled as a discontinuity (Lindeberg, 1998). Hence discontinuity detection, can provide edge information for image analysis with applications in robotic vision, medical imaging, tomography and surveillance etc. Scale-Space theory (Koenderink, 1984; Lindeberg, 1994; Witkin, 1983), is a framework for multi-scale analysis of function/image. While there are non-Gaussian Scale-Space representations (Duits et al., 2003), this article is confined to widely accepted Gaussian Scale-Space (Babaud et al., 1986; Lindeberg, 1994). Existing Scale-Space literature is focused mainly on developing Scale-Space theory with a view to:

Discontinuity Detection from Inflection of Otsu’s Threshold in Derivative of Scale-Space