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The B-Spline Wavelet Recurrence Relation And B-Spline Wavelet Interpolation, Patrick J. Crowley '96
The B-Spline Wavelet Recurrence Relation And B-Spline Wavelet Interpolation, Patrick J. Crowley '96
Honors Projects
In most signal processing applications, a given range of data is best described by a set of local characteristics as opposed to a single global characteristic. In image processing, for example, a region of an image that contains numerous edges is best described as a region whose pixel color values change abruptly, i.e., they are not continuous values of color. A region of constant color, or gradually changing color, is best described as a region whose pixel values are constant, or whose values increase linearly by some factor. It is advantageous to represent this data with signals capable of adapting …
Macroelements And Orthogonal Multiresolutional Analysis, Jonathan M. Corbett '96
Macroelements And Orthogonal Multiresolutional Analysis, Jonathan M. Corbett '96
Honors Projects
Orthogonal multiresolutional wavelet analysis in a two dimension setting furnishes a basis for wavelet analysis. Bernstein-Bezier polynomials over simplexes provide elegant expressions of the necessary and sufficient conditions for a shift invariant space generating an orthogonal multiresolution analysis.