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NURBS

A really simple NURBS library based on libigl. libigl is a simple C++ geometry processing library, and I use it mainly for displaying the NURBS curve and surface.

Existing functions:

  1. compute points on curve or surface with parameters
  2. display NURBS curve and surface by libigl

to be continued:

  1. readIO and writeIO
  2. knot insertion and knot removal
  3. degree elevation and degree reduction
  4. NURBS curve and surface fitting
  5. T-Spline (it's hard ...)

This project's cmake structure is from libigl/libigl-example-project, which is a blank project example showing how to use libigl and cmake.

See the tutorial first

Then build, run and understand the libigl tutorial.

Compile

After downloading and installing libigl, you need to add the Path of libigl to this project by modifying FindLIBIGL.cmake

find_path(LIBIGL_INCLUDE_DIR igl/readOBJ.h
    HINTS
        ENV LIBIGL
        ENV LIBIGLROOT
        ENV LIBIGL_ROOT
        ENV LIBIGL_DIR
    PATHS
        ${CMAKE_SOURCE_DIR}/../..
        ${CMAKE_SOURCE_DIR}/..
        ${CMAKE_SOURCE_DIR}
        ${CMAKE_SOURCE_DIR}/libigl
        ${CMAKE_SOURCE_DIR}/../libigl
        ${CMAKE_SOURCE_DIR}/../../libigl
        D:/Program\ Files/libigl # you can add the path like this
        /usr
        /usr/local
        /usr/local/igl/libigl
    PATH_SUFFIXES include
)

Compile this project using the standard cmake routine:

mkdir build
cd build
cmake ..
make

This should find and build the dependencies and create a NURBS_bin binary.

Run

From within the build directory just issue:

./NURBS_bin

A glfw app should launch displaying a Torus surface.

examples and results

  1. Cylindrical surface cylinder.PNG
  2. Torus surface torus.PNG