While writing this blog, I’ve been constantly finding a need to include various JavaScript libraries such as graphics libraries or text processors. I love the simplicity of Markdown but sometimes it can be really helpful to include more meaningful content and visuals to better illustrate a certain topic or idea. My most recent endeavor was adding an easy way to render shaders within each of posts which turned out to be a more painful task than I originally anticipated....
Intuition of 3x3Matrix Transformations Rotations can be achieved by locking the desired axes of rotation and transforming the rest of the axes by \(sin\) and \(cos\). 3x3 matrices can be used to bend the coordinate space in 3 dimensions, effectively allowing any desired transformations to objects in that space. As the coordinate space is being transformed, it’s helpful breaking up the matrix into its unit vectors $$ \vec{a} = x\begin{bmatrix}1\\0\\0\end{bmatrix} + y\begin{bmatrix}0\\1\\0\end{bmatrix} + z\begin{bmatrix}0\\0\\1\end{bmatrix} $$...
When describing rotations of an object, the typical way would be through linear algebra and trigonometry. However, similarly to how complex numbers can be used to describe rotations in 2D, quaternions allow efficient and more pragmatic methods describing rotations in 3D. How It’s Done With Trigonometry Depending on the framework or software using, a lot of the work is already done for you with API available to you to perform rotations on shapes....
I followed this tutorial https://www.youtube.com/watch?v=bXNFxQpp2qk&list=PLwyUzJb_FNeQrIxCEjj5AMPwawsw5beAy&index=3 Adding a 3D Character Animation States Unity has it’s own skeleton rigging system called Mecanim. To add animations to a character, you first need to add an animator component to your character model and then create a character controller object and link it to the component. Double clicking the controller will then open up a panel to handle state transitions between animations. There you can add each of the states you want to transition your model to and from....
When using a programming engine or framework, one of the things I get stuck on the most is how to organize all the directories and files for a project. Every technology has its own separate ethos when it comes to the separation of concerns. It’s such an important part in order to not have a growing project becoming a nightmare for other’s to work with, or even yourself after spending some time away from it....