GMT − The Generic Mapping Tools data processing and display software package GMT is a collection of public-domain Unix tools that allows you to manipulate x,y and x,y,z data sets (filtering, trend fitting, gridding, projecting, etc.) and produce PostScript illustrations ranging from simple x-y plots, via contour maps, to artificially illuminated surfaces and 3-D perspective views in black/white or full color. Linear, log10, and power scaling is supported in addition to 25 common map projections. The processing and display routines within GMT are completely general and will handle any (x,y) or (x,y,z) data as input.Significantly improved versions (3.1-3.3, 3.3.1-6), 3.4, 3.4.1-5, and 4.0-4.5.3 were released between November 1998 and July 2010, culminating in the Mar 2011 introduction of 4.5.6. GMT now is used by 15,000 users worldwide in a broad range of disciplines. The homepage of GMT is http://www.soest.hawaii.edu/gmt/ The installation for windowsis as follows: Reprint from the website 1.准备文件如下 (文件下载网址:http://gmt.soest.hawaii.edu/) netcdf-4.1.1 GMT_basic_install.exe GMT_pdf_install.exe GSHHS_highfull_install.exe 2.执行安装以下文件 (以安装到D盘为例) GMT_basic_install.exe GMT_pdf_install.exe GSHHS_highfull_install.exe 此时会在D:\GMT目录下产生有以下文件夹:bin include lib share 3.把netcdf-4.1.1文件拷到D:\GMT目录下 (解压netcdf 后的文件) 4.把D:\GMT\share下所有 *.d; *.cdf; *.ps 文件及conf文件夹下的所有文件拷到D:\GMT目录下 5.在D:\GMT目录下创建gmt.bat文件 目的:设置GMTHOME,HOME 和 NETCDF,修改PATH,LIB,INCLUDE下面是gmt.bat文件的内容,拷贝下来再,保存为gmt.bat, 然后根据自己的情况加以修改,这里以上面创建的目录为例。 gmt.bat文件的内容如下: ECHO OFF REM ---------------------------------------------------- REM REM @(#)gmtenv.bat 1.10 03/08/00 REM REM Copyright (c) 1991-2000 by P. Wessel and W. H. F. Smith REM See COPYING file for copying and redistribution conditions. REM REM This program is free software; you can redistribute it and/or modify REM it under the terms of the GNU General Public License as published by REM the Free Software Foundation; version 2 of the License. REM REM This program is distributed in the hope that it will be useful, REM but WITHOUT ANY WARRANTY; without even the implied warranty of REM MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the REM GNU General Public License for more details. REM REM Contact info: www.soest.hawaii.edu/gmt REM -------------------------------------------------------------------- REM REM Sets the GMT environment needed under WinXP. REM REM Author: Paul Wessel, 07-MAR-2000 REM REM ---------------------------------------------------- REM Set NETCDF, GMTHOME, and HOME: REM ---------------------------------------------------- SET NETCDF=d:\GMT\netcdf-4.1.1 SET GMTHOME=d:\GMT SET HOME=d:\GMT REM ---------------------------------------------------- REM Must set INCLUDE and LIB if GMT source is to be used REM OR compiled. If not, REM these lines out. REM ---------------------------------------------------- SET INCLUDE=%INCLUDE%;%NETCDF%\INCLUDE SET LIB=%LIB%;%NETCDF%\LIB;%GMTHOME%\LIB REM ---------------------------------------------------- REM STOP HERE, Now appending to PATH: REM ---------------------------------------------------- SET PATH=%PATH%;%GMTHOME%\BIN;%NETCDF%\LIB REM ---------------------------------------------------- ECHO GMT 4.5.2 Environment initialized doskey 6.进入DOS,在DOS下进入D:\GMT执行gmt.bat,显示如下: D:\GMTgmt.bat D:\GMTECHO OFF GMT 4.5.2 Environment initialized 此时可输入一个命令psxy等进行测试,如果出现此命令的说明,则表示成功了。 7.此外gawk也是window下常用程序,可以在下面网站下载 http://gnuwin32.sourceforge.net/packages/gawk.htm 下载后,安装在D:\GMT 目录下(可以安装在任何目录下),只要把D:\GMT\GnuWin32\bin下面的所有文件拷贝到 D:\GMT\bin 下就可以了。 8.PS查看器ghostview的安装 在安装Ghostview前先安装Ghostscript,这两个软件都可以网上自由获取 http://pages.cs.wisc.edu/~ghost/ 按先后顺序依次安装,可以安装在任何一个文件夹。安装后把gs\gs8.63\bin 下的gswin32.exe可执行文件和Ghostgum\gsview下的gsview32.exe可执行文件拷贝到D:\GMT\bin 下即可。 近来初学GMT软件,在Win下先尝试安装了该软件,安装过程中借鉴了很多网上分享的资料,对一些作者表示感谢。
Chapter 4 Theory of Rectifiable n-Varifolds 15 Basic Definitions and Properties 16 First Variation 17 Monotonicity Formula And Basic Consequences 18 Pioncare and Sobolev Inequalities 19 Miscellaneous Additional Consequences Of the Mo This is done when I was suffering lecturing Geometric Measure Theory by Leon Simon. Chapter 5 is devoted to Allard regularity theory, but I've no time to input it in a Latex form.
GMT-The Generic Mapping Tools ,即通用制图工具,是一个开源的工具集,主要用于 XY 和 XYZ 数据的处理和显示,包括栅格化、过滤和各种地图投影等操作。 GMT 最初是由哥伦比亚大学的两位毕业生 Paul Wessel 和 Walter H. F. Smith 于 1988 年创建的,至今已经发展到版本 4.5.0 。 经过这段时间的了解,感觉该软件主要有以下几个优点:( 1 )完全免费;( 2 )源代码是开放的,可以进行二次开发;( 3 )可以在多种系统下安装和使用,如 UNIX , Linux , MkLinux , Mac OS 9 , Windows 和 OS/2 ,但是每个系统下的安装要求是不一样的;(4) GMT 好比一个工具箱,每个工具之间相对独立,操作起来更为灵活,这也是 GMT 研究小组的一个特别考虑;( 5 )有很多免费数据资源都可以被 GMT 调用,尤其是 NOAA , USGS , NGDC , NEIC 等;( 6 )制作出来的图形图像精美,感觉比 ArcGis 和 MapGis 等软件成图的效果要好。正是由于以上诸多优点,该软件已经被较为广泛应用于医学,工程,物理,数学,地球科学,社会科学等领域。 由于该软件的最初是在 UNIX 系统上发展的,所以对于初学者来说早期的版本安装和使用方面还是有点麻烦的,我也是学习第一次安装该软件,经过摸索,终于在 Windows XP 系统下安装成功。习惯了 Windows 操作的人来说,突然要用 DOS 操作,确实需要一段时间的适应,故可以安装一个 GUI (图形交互界面)软件 Win4GMT 。具体安装过程如下: 1. Install GMT 3 (E g : C : \GMT\ ) . As you will see GMT3 programs will be installed in C : \GMT\ bin and rivers, border, shorelines, patterns etc in C:\GMT\share\coast and gmtenv.bat in C : \GMT\ ( Note: I n GMT 4 .5.0 , gmtenv.bat cant be need any more, and the installer has done the work and set the path. ) 2. S et Home: Modify gmtenv.bat with an ASCII editor in order to set your home dir . SET NETCDF= C : \GMT\ SET GMTHOME= C : \GMT\ SET HOME= C : \ USERS \ USERS \ PROJECTS or C :\ GMT \ TEMP SET PATH=%PATH%; %GMTHOME%\BIN; %NETCDF%\LIB 3. R un cmd command to open this window i n a DOS window . I n GMT 4 .5.0 , .gmtdefaults is created by default in C : \ GMT \bin, you should copy it to C : \GMT\. Then c lose the window . 4. if necessary, install Ghostsview or other postscript viewer or editor . 5. Put netcdf.dll in C : \GMT\. 6. Unzip the Win4GMT and r un setup.exe to install it . To avoid problems , Please install Win4GMT in the GMT Home Directory ( C : \GMT ). 7. Reboot the computer . 8. Configure folders in Preferences menu when starts the program or edit win4gmt.ini in C:\WINDOWS or C:\WINNT folder . Notes: Setup will create a subdirectory ( man ) where will be installed the html version of the GMT manuals. If you have problems with OLEAUT32.DLL (in some cases, problems has been reported) . R ename your oleaut32.dll (just in case) and copy the ftp file in your system directory ( C : \WINDOWS\S ystem) . Then r estart the computer. 其它: GMT下载地址: http://gmt.soest.hawaii.edu/ Win4GMT下载地址: http://www.icm.csic.es/gma
gmt 中的surface---不完整 2008-05-21 23:34 在gmt中由xyz文件转到grid的文件有两个主要命令:xyz2grd, surface,前面已经提到xyz2grd,xyz2grd要求等间隔采样,有时候显得很不方便。而surface可以提供一个较好的方式 Adjustable tension continuous curvature surface gridding 可调整的曲线表面网格?由manual给出的解释是 A continuous curvature gridding algorithm 应该可以理解为曲率连续的网格插值算法,具体的例子在cookbook的6.14,6.16都有用到 主要选项: surface -Goutput_grdfile_name -Ixinc ] -Rwest/east/south/north ] ] ] ] ] ] ] -G 输出文件名 -xinc/yinc: 给出插值后的网格间隔 -R:指定坐标范围 -A: -Z:是插值的收敛标准 -L:?强行指定解的范围? without any modifiers indicate that x is longitude and periodic in 360: -L constrain the range of output values: -Lllimit specifies lower limit; forces solution to be = limit. -Lulimit specifies upper limit; forces solution to be = limit. limit can be any number, or the letter d for min (or max) input data value, or the filename of a grdfile with bounding values. . Example: -Ll0 gives a non-negative solution. -N sets max n_iterations in each cycle; default = 250. 设置每个圆的最大迭代数 -S 除非网格是病态的 sets search_radius to initialize grid; default = 0 will skip this step. This step is slow and not needed unless grid dimensions are pathological; i.e., have few or no common factors. Append m to give search_radius in minutes. -T adds Tension to the gridding equation; use a value between 0 and 1. default = 0 gives minimum curvature (smoothest; bicubic) solution. 1 gives a harmonic spline solution (local max/min occur only at data points). typically 0.25 or more is good for potential field (smooth) data; 0.75 or so for topography. Experiment. Append B or b to set tension in boundary conditions only; Append I or i to set tension in interior equations only; 关系到插值的结果?详情见cookboo 6.16图 -Z sets over_relaxation parameter. Default = 1.4 Use a value between 1 and 2. Larger number accelerates convergence but can be unstable. Use 1 if you want to be sure to have (slow) stable convergence. 控制收敛速度