In this homework, you will learn how to build a simple path tracer with support for subdivision surfaces, displacement and subsurface scattering. In particular, you will learn how to

• handle subdivision surfaces,
• handle normal mapping (we have implemented displacement for you),
• write a path tracer with support for homogeneous volumes.

The code uses the library Yocto/GL, that is included in this project in the directory yocto. We suggest to consult the documentation for the library that you can find at the beginning of the header files. Also, since the library is getting improved during the duration of the course, se suggest that you star it and watch it on Github, so that you can notified as improvements are made.

In order to compile the code, you have to install Xcode on OsX, Visual Studio 2019 on Windows, or a modern version of gcc or clang on Linux, together with the tools cmake and ninja. The script scripts/build.sh will perform a simple build on OsX. As discussed in class, we prefer to use Visual Studio Code, with C/C++ and CMake Tools extensions, that we have configured to use for this course.

You will write your code in the file yocto_pathtrace.cpp for functions that are declared in yocto_pathtrace.h. Your renderer is called by yscenetrace.cpp for a command-line interface and ysceneitraces.cpp that show a simple user interface.

This repository also contains tests that are executed from the command line as shown in run.sh. The rendered images are saved in the out/ directory. The results should match the ones in the directory check/.

In this homework you will implement the following features:

• Subdivision Surfaces in functions subdivide_catmullclark():
  • implement Catmull-Clark subdivision following the slides
  • while the solution should match the one in Yocto/Shape, your implementation cannot use the Yocto one, neither calling it nor adapting the code – I will be able to tell since the Yocto/Shape code supports more features
• Normal Mapping in function eval_normalmap():
  • implement normal mapping as per the slides
  • you can use triangle_tangents_fromuv() to get tangents
• Volumetric Path Tracing in function trace_path():
  • follow the slides and implement a volumetric path tracer
  • you have to also implement all support functions, namely XXX_transmittance() and XXX_scattering()
  • you can use the corresponding functions in Yocto/Math

Here we put options of things you could try to do. For this homework, you get full extra-credit points only when implementing delta tracking. You will still get points if you add some more scenes to the renderer.

• Delta Tracking in path tracer:
  • integrate delta tracking for smoke and clouds
  • based your implementation on pbrt
  • to integrate it, you have to implement a new sample_transmittance() that both samples the distances and returns the weight
  • also you have to add volumes to the renderer, which for now can be a hack to either hardcode a function that makes one or use a procedural
  • this should be a hack; you will have the option of writing a full volume renderer in HW04
• MYOS, make your own scene:
  • create additional scenes that you can render from models assembled by you
  • in this case, you are only allowed to create
    • a scene that uses subsurface scattering in a prominent manner
    • a scene that uses subdivision surfaces in a prominent manner
    • a realistic scene that looks real; use only the models from 3DModelHaven and make it complex using many models and all textures
  • also include license files for everything you download

To submit the homework, you need to pack a ZIP file that contains the code you write and the images it generates, i.e. the ZIP with only the yocto_pathtrace/ and out/ directories. The file should be called <lastname>_<firstname>_<studentid>.zip (<cognome>_<nome>_<matricola>.zip) and you should exclude all other directories. Send it on Google Classroom.