Wavelets

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Professor helps in search for explosives, illegal substances (with Jenna Mink) (2011)

I was interviewed by Jenna Mink of the Daily News regarding our wavelet-based software for...

 

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Software product may improve security screening, explosives detection (with Tommy Newton) (2011)

Press release from WKU News about the release of Peaklet Analysis software, a joint venture...

 

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Wavelet-Based Analysis of Neutron-Induced Photon Spectral Data (with Alexander Barzilov and Phillip Womble), American Nuclear Society (2011)

Neutron-based methods of non-destructive inter- rogation of objects for the purpose of their characterization are...

 

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A “Peak” at the Algorithm Behind “Peaklet Analysis” Software, Kentucky Mathematical Association of America (2011)

In response to a problem posed by faculty at the Applied Physics Institute at Western...

 

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An Algorithm for Wavelet–Based Elemental Spectrum Analysis, 13th International Conference on Approximation Theory (2010)

At the previous Approximation Theory XII meeting, I discussed some preliminary work with the Applied...

 

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Multiwavelets for Quantitative Pattern Matching, Proceedings of the 42nd Annual Hawaii International Conference on System Sciences (CD-ROM) (2009)

The purpose of this paper is to provide an introduction to the concepts of wavelets...

 

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Balanced Biorthogonal Scaling Vectors Using Fractal Function Macroelements on [0,1], Applied and Computational Harmonic Analysis (2007)

Geronimo, Hardin, et al have previously constructed orthogonal and biorthogonal scaling vectors by extending a...

 

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An Orthogonal Scaling Vector Generating a Space of $C^1$ Cubic Splines Using Macroelements, Journal of Concrete and Applicable Mathematics: Special Issue on Wavelets and Applications (2006)

The main result of this paper is the creation of an orthogonal scaling vector of...

 

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Balanced Scaling Vectors Using Linear Combinations of Existing Scaling Vectors, Approximation Theory XI: Gatlinburg 2004 (2005)

The majority of the research done into creating balanced multiwavelets has involved establishing a series...

 

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Orthogonal Macroelement Scaling Vectors and Wavelets in 1-D (with Douglas P. Hardin), The Arabian Journal for Science and Engineering: Special Issue on Fractals and Wavelets (2003)

We develop a {\em macroelement} based technique for constructing orthogonal univariate multiwavelets. We illustrate the...

 

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A Construction of Compactly-Supported Biorthogonal Scaling Vectors and Multiwavelets on $R^2$, Journal of Approximation Theory (2002)

In \cite{K}, a construction was given for a class of orthogonal compactly-supported scaling vectors on...

 
A Short-support Dual Mask to the Piecewise Linears on a Uniform Triangulation, Approximation Theory X: Wavelets, Splines, and Applications (2002)

Much work has been done in finding duals and wavelets for a single scaling function...

 
Constructions of Orthogonal and Biorthogonal Scaling Functions and Multiwavelets Using Fractal Interpolation Surfaces, Advances in Imaging And Electron Physics (2002)

This chapter is a survey of the work that has been done by Donovan, Geronimo,...

 

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A Construction of Orthogonal Compactly-Supported Multiwavelets on $\R^{2}$, Applied and Computational Harmonic Analysis (2000)

This paper will provide the general construction of the continuous, orthogonal, compactly-supported multiwavelets associated with...

 
A construction of two-dimensional multiwavelets on a triangulation (with George C. Donovan, Jeff S. Geronimo, and Douglas P. Hardin), Wavelet Application in Signal and Image Processing IV (1996)

A family of continuous, compactly supported, bivariate multi-scaling functions have recently been constructed by Donovan,...

 
Multiresolution analyses and fractal functions (with Douglas P. Hardin and Peter Massopust), Journal of Approximation Theory (1992)
 

Mathematical Modeling

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An Algorithm for Wavelet–Based Elemental Spectrum Analysis, 13th International Conference on Approximation Theory (2010)

At the previous Approximation Theory XII meeting, I discussed some preliminary work with the Applied...

 

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Improved automated monitoring and new analysis algorithm for circadean phototaxis rhythms in Chlamydomonas (with Christa Gaskill, Jennifer Forbes-Stovall, Mike Young, Claire A. Rinehart, and Sigrid Jacobshagen), Plant Physiology and Biochemistry (2010)

Automated monitoring of circadian rhythms is an efficient way of gaining insight into oscillation parameters...

 

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Multiwavelets for Quantitative Pattern Matching, Hawaiian International Conference on System Sciences (2009)

This was my presentation in Hawaii that accompanied my paper on pattern matching, published in...

 

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Multiwavelets for Quantitative Pattern Matching, Proceedings of the 42nd Annual Hawaii International Conference on System Sciences (CD-ROM) (2009)

The purpose of this paper is to provide an introduction to the concepts of wavelets...

 

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At Least Four Distinct Circadian Regulatory Mechanisms Required for All Phases of Rhythms in mRNA Amount (with Sigrid Jacobshagen and Claire Rinehart), Journal of Biological Rhythms (2008)

Since the advent of techniques to investigate gene expression on a large scale, numerous circadian...

 

Mathematics Education

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Operation Comics #6: The Return of Captain Confusion (with Tressa Tullis) (2012)

This is the sixth of a series of comics that embed mathematics appropriate for grades...

 

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Operation Comics: Making Math Fun, Owensboro Community and Technical College STEM Innovation Celebration 2011 (2011)

This talk gives a background on the Operation Comics series, which integrates mathematics into a...

 

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Operation Comics: The Story Continues (with Tressa Tullis), 2011 Bridges Conference: Mathematics, Music, Art, Architecture, Culture (2011)

This talk was given, with Tressa Tullis as the main presenter and Bruce Kessler as...

 

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Comic Books To Teach Mathematics?: Bruce Kessler Says Yes (with Tracy Inman) (2011)

I was interviewed by Tracy Inman about the Operation Comics project and how it applies...

 

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Operation Comics (with Tressa Tullis and Clinton Lewis), WKU Spirit (2011)

This was a piece on my Operation Comics project for the WKU Alumni Foundation's magazine...

 

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Operation Comics #5: Wonderkid! The Origins of Wonderguy (with Tressa Tullis) (2011)

This is the fifth of a series of comics that embed mathematics appropriate for grades...

 

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Operation Comics: The Story Continues (with Janet Tassell and Tressa Tullis), Proceedings of Bridges 2011: Mathematics, Music, Art, Architecture, Culture (2011)

During the 2008-2009 academic year, the author K. wrote three issues of Operation Comics, a...

 

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“Drawing” Upon Your Students’ Creativity: Teaching (Your Subject Here) with Comic Books, WKU Writing Project (2011)

During Spring 2009, Dr. Kessler created and published a comic book series that embedded math...

 

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Comic Book Guy (with Pam Cassady) (2011)

Bowling Green Daily News article on the Operation Comics project.

 

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Operation Comics on WKYU-FM Public Radio (with Dan Modlin) (2011)

Operation Comics and their recent offering as NOOKbooks from the Barnes and Noble webpage were...

 

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A Primer on Chaos and Fractals, Lipscomb University (2011)

This is a prelude to a performance of the play "Arcadia" exclusively for the science...

 

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Operation Comics #4: Wonderguy in the Sky! (with Tressa Tullis) (2010)

This is the fourth of a series of comics that embed mathematics appropriate for grades...

 

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View from the Hill: Operation Comics (with Amy Bingham) (2010)

"Operation Comics", comic books with embedded math content appropriate for 4th-6th graders, was the topic...

 

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Comic Books That Teach Mathematics, Proceedings of Bridges 2009: Mathematics, Music, Art, Architecture, Culture (2009)

During the 2008--2009 academic year, the author embarked on an extremely non-standard curriculum path: developing...

 

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Comic Books That Teach Mathematics, 2009 Bridges Banff Conference (2009)

During the 2008--2009 academic year, the author embarked on an extremely non-standard curriculum path: developing...

 

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Using Works of Visual Art to Teach Matrix Transformations (with James Luke Akridge, Rachel Bowman, and Peter Hamburger), Proceedings of Bridges 2009: Mathematics, Music, Art, Architecture, Culture (2009)

The authors present a modern technique for teaching matrix transformations on $\R^2$ that incorporates works...

 

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Elementary-Level Mathematics Content in Comic Book Format (with Janet Tassell, Mary Evans, Cathy Willoughby, and Melissa Zimmer), Council on Postsecondary Education Scholarship of Teaching and Learning Conference (2009)
 

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Operation Comics #3: Not Your Average Cat (2009)

This is the third of a series of comics that embed mathematics appropriate for grades...

 

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Operation Comics #2: The Shape of Things (with Alex O'Keefe and Missy Pitcock) (2009)

This is the second of a series of comics that embed mathematics appropriate for grades...

 

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My Trig Book, Mathematics Faculty Publications (2009)

This is the MATH 117 Trigonometry text developed by Dr. Bruce Kessler for the Gatton...

 

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Operation Comics #1: Captain Confusion's Revenge (with Annie Erskine) (2009)

This is the first of a series of comics that embed mathematics appropriate for grades...

 

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A "Sound" Approach to Fourier Transforms: Using Music to Teach Trigonometry, 2007 Bridges Donostia Conference Proceedings (2007)

If a large number of educated people were asked, ``What was your most exciting class?'',...

 

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Math Matters: Why Do I Need to Know This? (Episode 10, Segment 1 - consumer mathematics), WKYU internal cable (2006)

This is the first segment of the tenth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 10, Segment 2 - circles and Pythagorean theorem), WKYU internal cable (2006)

This is the second segment of the tenth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 10, Segment 3 - exponential and logarithmic functions), WKYU internal cable (2006)

This is the third segment of the tenth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 11, Segment 1 - amortized loans), WKYU internal cable (2006)

This is the first segment of the eleventh episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 11, Segment 2 - least common multiple and greatest common divisor), WKYU internal cable (2006)

This is the first segment of the eighth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 11, Segment 3 - systems of two linear equations), WKYU internal cable (2006)

This is the third segment of the eleventh episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 12, Segment 1 - credit-card debt), WKYU internal cable (2006)

This is the first segment of the twelfth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 12, Segment 2 - matrix multiplication), WKYU internal cable (2006)

This is the second segment of the twelfth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 12, Segment 3 - population models), WKYU internal cable (2006)

This is the third segment of the twelfth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 13, Segment 1 - matrix multiplication), WKYU internal cable (2006)

This is the first segment of the thirteenth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 13, Segment 2 - matrix multiplication), WKYU internal cable (2006)

This is the second segment of the thirteenth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 13, Segment 3 - population models), WKYU internal cable (2006)

This is the third segment of the thirteenth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 14 - annuities and fair division), WKYU internal cable (2006)

This is the fourteenth episode of the program, where I discuss annuities and a method...

 

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Math Matters: Why Do I Need to Know This? (Episode 1 - Venn diagrams, exponent rules, compound interest, and the Rule of Seventy), WKYU-TV internal cable (2006)

This is the first episode of my TV program. Topics include Venn diagrams, exponent rules,...

 

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Math Matters: Why Do I Need to Know This? (Episode 2, Segment 1 - logic), WKYU-TV internal cable (2006)

This is the first segment of the second episode of the program, where I discuss...

 

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Math Matters: Why Do I Need To Know This? (Episode 2, Segment 2 - factoring), WKYU-TV internal cable (2006)

This is the second segment of the second episode of the program, where I discuss...

 

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Math Matters: Why Do I Need To Know This? (Episode 2, Segment 3 - rational expressions), WKYU-TV internal cable (2006)

This is the third segment of the second episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 3, Segment 1 - logical fallacies), WKYU-TV internal cable (2006)

This is the first segment of the third episode of the program, where I discuss...

 

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Math Matters: Why Do I Need To Know This? (Episode 3, Segment 2 - polygons), WKYU-TV internal cable (2006)

This is the second segment of the third episode of the program, where I discuss...

 

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Math Matters: Why Do I Need To Know This? (Episode 3, Segment 3 - tessellations), WKYU-TV internal cable (2006)

This is the third segment of the third episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 4, Segment 1 - counting techniques and probability), WKYU-TV internal cable (2006)

This is the first segment of the fourth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 4, Segment 2 - unit conversions), WKYU-TV internal cable (2006)

This is the second segment of the fourth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 4, Segment 3 - radical expressions), WKYU-TV internal cable (2006)

This is the third segment of the fourth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 5, Segment 1 - expected value), WKYU-TV internal cable (2006)

This is the first segment of the fifth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 5, Segment 2 - formula for a polynomial through a set of points), WKYU-TV internal cable (2006)

This is the second segment of the fifth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 5, Segment 3 - slope of a line), WKYU-TV internal cable (2006)

This is the third segment of the fifth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 6, Segment 1 - surface area), WKYU-TV internal cable (2006)

This is the first segment of the sixth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 6, Segment 2 - complex numbers), WKYU-TV internal cable (2006)

This is the second segment of the sixth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 6, Segment 3 - inequalities), WKYU-TV internal cable (2006)

This is the third segment of the sixth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 7, Segment 1 - graphs of data), WKYU-TV internal cable (2006)

This is the first segment of the seventh episode of the program, where I discuss...

 

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Math Matters: Why Do I Need To Know This? (Episode 7, Segment 2 - volume), WKYU-TV internal cable (2006)

This is the second segment of the seventh episode of the program, where I discuss...

 

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Math Matters: Why Do I Need To Know This? (Episode 7, Segment 3 - quadratic formula), WKYU-TV internal cable (2006)

This is the third segment of the seventh episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 8, Segment 1 - similar and congruent triangles), WKYU internal cable (2006)

This is the first segment of the eighth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need To Know This? (Episode 8, Segment 2 - different base numerals), WKYU internal cable (2006)

This is the first segment of the eighth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need To Know This? (Episode 8, Segment 3 - piecewise functions), WKYU internal cable (2006)

This is the third segment of the eighth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 9, Segment 1 - normal distributions), WKYU internal cable (2006)

This is the first segment of the ninth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 9, Segment 2 - divisibility theorems), WKYU internal cable (2006)

This is the second segment of the ninth episode of the program, where I discuss...

 

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Math Matters: Why Do I Need to Know This? (Episode 9, Segment 3 - number of polynomial solutions and end behavior), WKYU internal cable (2006)

This is the third segment of the ninth episode of the program, where I discuss...