diff --git a/LICENSE b/LICENSE
new file mode 100644
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--- /dev/null
+++ b/LICENSE
@@ -0,0 +1,665 @@
+LibTIN License
+--------------
+
+LibTIN is distributed under a dual licensing scheme. You can
+redistribute it and/or modify it under the terms of the GNU Affero
+General Public License as published by the Free Software Foundation,
+either version 3 of the License, or (at your option) any later
+version. A copy of the GNU Affero General Public License is reproduced
+below.
+
+If the terms and conditions of the AGPL v.3. would prevent you from
+using LibTIN, please consider the option to obtain a commercial
+license for a fee. These licenses are offered by the Author. As a rule,
+licenses are provided "as-is", unlimited in time for a one time
+fee. Please send corresponding requests to:
+zhangyiss@icloud.com. Please do not forget to include some
+description of your company and the realm of its activities.
+
+=====================================================================
+GNU AFFERO GENERAL PUBLIC LICENSE
+
+Version 3, 19 November 2007
+
+Copyright © 2007 Free Software Foundation, Inc.
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+NOT LIMITED TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR
+LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM
+TO OPERATE WITH ANY OTHER PROGRAMS), EVEN IF SUCH HOLDER OR OTHER
+PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES.
+
+17. Interpretation of Sections 15 and 16.
+
+If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+END OF TERMS AND CONDITIONS
+
+How to Apply These Terms to Your New Programs
+
+If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these
+terms.
+
+To do so, attach the following notices to the program. It is safest to
+attach them to the start of each source file to most effectively state
+the exclusion of warranty; and each file should have at least the
+"copyright" line and a pointer to where the full notice is found.
+
+ Copyright (C)
+
+ This program is free software: you can redistribute it and/or
+ modify it under the terms of the GNU Affero General Public License
+ as published by the Free Software Foundation, either version 3 of
+ the License, or (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Affero General Public License for more details.
+
+ You should have received a copy of the GNU Affero General Public
+ License along with this program. If not, see
+ . Also add information on how to
+ contact you by electronic and paper mail.
+
+If your software can interact with users remotely through a computer
+network, you should also make sure that it provides a way for users to
+get its source. For example, if your program is a web application, its
+interface could display a "Source" link that leads users to an archive
+of the code. There are many ways you could offer source, and different
+solutions will be better for different programs; see section 13 for
+the specific requirements.
+
+You should also get your employer (if you work as a programmer) or
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. For more information on this, and how to apply and follow
+the GNU AGPL, see .
\ No newline at end of file
diff --git a/LibTINConfig.cmake.in b/LibTINConfig.cmake.in
index 62c9d59..a010d3c 100644
--- a/LibTINConfig.cmake.in
+++ b/LibTINConfig.cmake.in
@@ -3,7 +3,7 @@
set(@PROJECT_NAME@_Version "@PROJECT_VERSION@")
set_and_check(@PROJECT_NAME@_INSTALL_PREFIX "${PACKAGE_PREFIX_DIR}")
set_and_check(@PROJECT_NAME@_INC_DIR "${PACKAGE_PREFIX_DIR}/include")
-set_and_check(@PROJECT_NAME@_INCULDE_DIR "${PACKAGE_PREFIX_DIR}/include")
+set_and_check(@PROJECT_NAME@_INCLUDE_DIR "${PACKAGE_PREFIX_DIR}/include")
set_and_check(@PROJECT_NAME@_LIB_DIR "${PACKAGE_PREFIX_DIR}/lib")
set_and_check(@PROJECT_NAME@_LIBRARY_DIR "${PACKAGE_PREFIX_DIR}/lib")
diff --git a/README.md b/README.md
index 5b46330..44b23e6 100644
--- a/README.md
+++ b/README.md
@@ -1,30 +1,212 @@
-### Generation of a Triangular Irregular Network (TIN) from a dense DEM grid
+### LibTIN - C++ library of the Triangular Irregular Network (TIN)
-#### Compile
+#### Introduction
+
+LibTIN is a stand alone C++ library for generating the Triangular Irregular Networks (TIN) using DEM data that are located at a regular grid or random locations. No dependences are needed. The generated TINs that are fully Delaunay, and neighboring information is also retrieved during the construction. Additionally, a polygon could be provided to control the outline shape of the generated TIN.
+
+#### Installation
+
+The LibTIN compiles using the CMake software. Typically, you need following commands to compile and install the library and tools after you navigated into the package's directory:
```shell
-g++ demo.cpp -O2
+make build
+cd build
+cmake ..
+make install
```
-#### Run demo
+ This will compile the library and two command line tools, _grd2tin_ and _rnd2tin_, which will be introduced bellow. The library and tools are installed in the directories _/usr/local/lib_ and _/usr/local/sbin_ by default. You can specify a different directory for installation using the CMAKE_INSTALL_PREFIX option.
+
+#### Data Structures
+
+##### vertex2dc
+
+Vertex defined on the 2-D Cartesian coordinates. It is used to represent the vertex of the TIN or the polygon's corners. Included variables are as following:
+
+```c++
+struct vertex2dc
+{
+ unsigned int id; // index of the vertex
+ double x, y; // position of the vertex
+ double elev; // elevation at the vertex
+}
+```
+
+##### triangle
+
+Triangular facet defined on the 2-D Cartesian coordinates. It is used to represent the facet of the TIN. Included variables are as following:
+
+```c++
+struct triangle
+{
+ int id;
+ vertex2dc *vert[3]; // vertex of the triangle
+ triangle *neigh[3]; // neighbors of the triangle
+ double cx, cy; // center of the triangle's circumcircle
+ double cr; // radius of the circumcircle
+ std::vector hosted_dem; // DEM points that are located within the triangle
+}
+```
+
+##### dem_point
+
+DEM point defined on the 2-D Cartesian coordinate. It is used to store the input DEM data. Included variables are as following:
+
+```c++
+struct dem_point
+{
+ double x, y; // position of the DEM location
+ double elev; // elevation at the DEM location
+ double err; // error of the TIN with respect to the elevation
+ triangle *host; // pointer of the triangle that the dem_point falls inside of
+}
+```
+
+#### Tools
+
+##### grd2tin: generation of the TIN using regular DEM data
+
+###### usage
```shell
-./a.out
+grd2tin -f -r/// -i/ -m [-p] [-t] [-l] [-n] [-z]
```
-#### Visualization
+###### options
-##### macOS
+* **-f** Input DEM data. The program takes DEM data that are stored as a simple ASCII text file. Each line of the file contains the _x_, _y_ and _elevation_ values of a DEM point separated by spaces. Moreover, the DEM data should be stored in an order that starts from the lower-left corner of the DEM grid and travels in a row-major manner till the upper-right corner of the grid. Specially, the _x_ and _y_ values in the file could be omitted by setting the **-z** option.
+* **-r** Range of the input DEM grid in the x and y directions, respectively.
+* **-i** Intervals of the input DEM grid in the x and y directions, respectively.
+* **-m** Output Gmsh file (.msh) of the generated TIN.
+* **-p (optional)** Input text file of a polygon to control the outline shape of the generated TIN. The polygon is represented using its corners' locations. Each line of the file should contain the _x_, _y_ values of a corner vertex. The vertexes could be ordered either clockwise or anti-clockwise.
+* **-t (optional)** Threshold of the maximal error of the generated TIN with respect to the input DEM grid.
+* **-l (optional)** Output text file of a log file of the maximal error of the generated TIN.
+* **-n (optional)** Output text file of neighbor-ships of the generated TIN.
+* **-z (optional)** The input DEM grid is a 1-column z-table.
+
+##### rnd2tin: generation of the TIN using random DEM data
+
+###### usage
```shell
-open -a Gmsh topo_TIN.msh
+rnd2tin -f -m [-p] [-t] [-l] [-n]
```
-##### Linux/Unix
+###### options
-```shell
-gmsh topo_TIN.msh
+* **-f** Input DEM data. The program takes DEM data that are stored as a simple ASCII text file. Each line of the file contains the _x_, _y_ and _elevation_ values of a DEM point separated by spaces.
+* **-m** Output Gmsh file (.msh) of the generated TIN.
+* **-p (optional)** Input text file of a polygon to control the outline shape of the generated TIN. The polygon is represented using its corners' locations. Each line of the file should contain the _x_, _y_ values of a corner vertex. The vertexes could be ordered either clockwise or anti-clockwise.
+* **-t (optional)** Threshold of the maximal error of the generated TIN with respect to the input DEM grid.
+* **-l (optional)** Output text file of a log file of the maximal error of the generated TIN.
+* **-n (optional)** Output text file of neighbor-ships of the generated TIN.
+
+#### Examples
+
+The following is a simple example for using the library to generate the TIN you see on top of this page. More examples could be found at the _src/demo_ folder.
+
+```c++
+#include "../lib/tin.h"
+#include "iostream"
+#include "fstream"
+#include "iomanip"
+
+int main(int argc, char const *argv[])
+{
+ // read dem grid
+ std::vector topo(10201);
+ std::ifstream infile("data/topo");
+ for (int i = 0; i < 10201; ++i)
+ {
+ infile >> topo[i];
+ }
+ infile.close();
+
+ // prepare variables and vectors
+ std::vector err_records;
+ std::vector tin_vert;
+ std::vector tin_ele;
+
+ // call the grd2tin function to generate the TIN
+ // the resultant vertexes and facets are stored in
+ // vectors tin_vert and tin_ele, respetively.
+ grd2tin(topo, 0, 1000, 0, 1000, 10, 10, tin_vert, tin_ele, 1.0, nullptr, &err_records);
+
+ // Write a log file of the construciton process
+ // which you can examine later.
+ std::ofstream logfile("data/topo_TIN.log");
+ logfile << "# Insertion Maxi-Error\n";
+ for (int i = 0; i < err_records.size(); ++i)
+ {
+ logfile << i+1 << " " << err_records[i] << std::endl;
+ }
+ logfile.close();
+
+ // Write a Gmsh's .msh file for visualization
+ std::ofstream outfile("data/topo_TIN.msh");
+ outfile << "$MeshFormat" << std::endl << "2.2 0 8" << std::endl << "$EndMeshFormat "<id + 1 << " " << std::setprecision(16)
+ << tin_vert[i]->x << " " << tin_vert[i]->y << " " << tin_vert[i]->elev << std::endl;
+ }
+ outfile<<"$EndNodes"<vert[j]->id + 1;
+ }
+ outfile << std::endl;
+ }
+ outfile << "$EndElements"<< std::endl;
+ outfile<<"$NodeData"<id + 1 << " " << std::setprecision(16) << tin_vert[i]->elev << std::endl;
+ }
+ outfile << "$EndNodeData" << std::endl;
+ outfile.close();
+
+ // write a neighboring file
+ outfile.open("data/topo_TIN.neigh");
+ outfile << tin_ele.size() << std::endl;
+ for (int i = 0; i < tin_ele.size(); i++)
+ {
+ outfile << i + 1;
+ for (int j = 0; j < 3; j++)
+ {
+ if (tin_ele[i]->neigh[j] != nullptr)
+ {
+ outfile << " " << tin_ele[i]->neigh[j]->id + 1;
+ }
+ else outfile << " -1";
+ }
+ outfile << std::endl;
+ }
+ outfile.close();
+
+ // Destroy memories allocated by the grd2tin function
+ for (int i = 0; i < tin_vert.size(); ++i)
+ {
+ delete tin_vert[i];
+ }
+
+ for (int i = 0; i < tin_ele.size(); ++i)
+ {
+ delete tin_ele[i];
+ }
+ return 0;
+}
```
diff --git a/src/tool/rnd2tin.cpp b/src/tool/rnd2tin.cpp
index 0b14fb6..a7472f7 100644
--- a/src/tool/rnd2tin.cpp
+++ b/src/tool/rnd2tin.cpp
@@ -18,7 +18,7 @@ void display_help(std::string exe_name)
dh.changeLayerOut(0, 10);
dh.addHeadInfo(exe_name, "1.0", "Generating the Triangular Irregular Networks (TIN) from random DEM points.",
"Yi Zhang (zhangyiss@icloud.com)");
- dh.addUsage(exe_name+" -f -m [-p] [-t] [-l] [-n] [-z]");
+ dh.addUsage(exe_name+" -f -m [-p] [-t] [-l] [-n]");
dh.addOption("Input DEM xyz file.", "-f", "--xyz-file");
dh.addOption("Output Gmsh file (.msh) of the generated TIN.", "-m", "--mesh-file");
dh.addOption("Input text file of a polygon to control the outline shape of the generated TIN.", "-p", "--polygon-file");
diff --git a/topo_TIN.png b/topo_TIN.png
new file mode 100644
index 0000000..1afdd90
Binary files /dev/null and b/topo_TIN.png differ