This, book, published in 1995 by Prentice-Hall, is now out of print, although some used and new copies are still available on amazon.com.

 

Contents of this book are:

 

  1             a review of calculus

  2             Carl Friedrich Gauss

  3             a review of matrix algebra

  4             an overview of probability and

                 Statistics

  5             multivariate data analysis

  6             geostatistics

  7             computer graphics

  8             finite element analysis

  9             Fourier analysis

 10            Digital image processing

 11            Fractals

This book, published by Prentice-Hall in 2002, is also out of print (can’t win for losing!).  Some new and used copies are available at amazon.com.

 

Contents:

 

  1 univariate data analysis

  2 bivariate data analysis

  3  multivariate data analysis

  4  univariate spatial data analysis

  5  multivariate spatial data analysis

  6  geostatistical simulation

  7  digital image processing

  8  composite display

 

 This book presents a computer program developed by J. Carr called Visual_Data.  Moreover, Matlab and Excel examples are presented where these programs are useful.

Visual Data 09.5 is the newest version of Visual Data, a program that accompanies Carr’s text, “Data Visualization in the Geosciences. “  This program is regularly revised and maintained for use by students in GE 385, GE 404/604, and GE 743.  There is no fee collected for this program.  Moreover, this program is available free of charge to anyone wishing to try it.  Visual Data 09.2 offers the following analytical tools:

                 1.  Histogram analysis and plotting; this includes two hypothesis tests for normality.

                 2.  Two-dimensional X-Y graphing

                 3.  Regression analysis:

                                  A.  Classical (traditional); error assumed on Y only

                                  B.   Error is assumed for BOTH X and Y

                                  C.   Least Absolute Deviation; error assumed on Y only

                                  D.  M-regression; error on Y only

                                  E.  Non-linear regression; order is selected by the user

                                  F.  Multiple linear regression

                 4.  Principal components analysis

                 5.  Correspondence Analysis

                 6.  Variogram Analysis

                 7.  Kriging (Spatial Analysis and Interpolation based on the variogram); a new user interface has been designed:

                 8.  Cross-variogram analysis and cokriging (for multivariate spatial analysis)

                 9.  Geostatistical simulation (spatial simulation)

                 10.  Contour line drawing

                 11.  Three-Dimensional Grid Display

                 12.  Time Series Analysis (Slow Fourier transform)

                 13.  Digital Image Analysis that offers the following tools:

                                  A.  Converting raw images to Windows bitmaps

                                  B.  Image Display

                                  C.  Statistical Analysis

                                  D.  Contrast Adjustment

                                  E.  Filtering (spatial convolution):  low pass, high pass, high boost, median, sigma, Gaussian, and custom

                                  F.  Principal Components Transformation (Decorrelation stretch)

                                  G.  Ratios

                                  H.  Differencing and summing

                                  I.  Color compositing (8-bit to 24-bit bitmap conversion); also provides HIS transform

                                  J.  Color separation (24-bit to 8-bit conversion); image fusion via HIS transform and back transform is

                                                   available in Visual_Data_09.1 by using Color compositing and Color separation tools.

                                  K.  Pixel extraction

                                  L.  Classification:  minimum distance to mean, texture classification, and edge classification

                                  M.  Image resizing

                                  N.  Swapping byte order for 16-bit raw images (sometimes necessary for Windows)

                                  O.  Atmospheric correction (simple bias level correction)

                                  P.  Mosaic assembly

                                  Q.  Two dimensional Fourier transform

                                  R.  Image registration

                                  S.  Image fusion via wavelets

                 14.  Digital Image animation

                 15.  Tools for aiding the understanding of kriging and multivariate data analysis:

                                  A.  Simultaneous equation solution

                                  B.  Eigenvalue and Eigenvector calculation

                                  C.  Matrix multiplication

                                  D.  Matrix Inversion

                 16.  Fractal Creations:  Mandelbrot Set and Julia Set algorithms