Ultrasound based Strain Imaging Technique by 2D Thin Plate Smoothing Spline Method

Ultrasonic Elastogram Generation by 2D Thin Plate Smoothing Spline based Mathematical Interpolation Technique pdfkeywords=Strain estimation, Smoothing spline, Resolution, Performance parameter, Interpolation

Use of mathematical interpolation in Digital Signal Processing applications often seems to be a remarkable solution when applied for noise reduction. In the last two decades advancement in the Elasticity imaging of tissue is worth mentioning. Two dimensional spline technique for generating Elastograms is fairly a new approach for generating ultrasonic Elastograms. In the way of analyzing imagin...

Model Based Thin-plate Smoothing

This paper presents a nonstationary structural spatial model that explicitly sets the data to evolve across a rectangular lattice constrained by secondorder smoothing restrictions. The model exemplifies the concept of model-based spatial smoothing and, in particular, it provides a rationale for the popular discrete thin-plate smoothing method. We show how to use a frequency-domain approach in o...

Thin Plate Spline Interpolation on Large 2D Grids

In the early 1990s BCS was involved in some image processing and detection projects arising in both natural resource and defense settings. We were convinced that thin plate spline (TPS) functions could play an important role in developing effective software for image registration and change detection, but initially we encountered some computational challenges when using TPS functions on mid-siz...

Approximate Thin Plate Spline

Approximate Thin Plate Spline Mappings

The thin plate spline (TPS) is an e ective tool for modeling coordinate transformations that has been applied successfully in several computer vision applications. Unfortunately the solution requires the inversion of a p p matrix, where p is the number of points in the data set, thus making it impractical for large scale applications. As it turns out, a surprisingly good approximate solution is...