🧵1/n This thread covers the linear algebra for modern computer graphics, bridging geometry, physics, and computation. Video 1: Vector Spaces & Cartesian Coordinates Source: CMU. 👇Video 2: Vector Operations, Vector Spaces, Functions as Vectors, and Vectors in Coordinates

🧵2/n This video explains vector addition, scaling, and how these operations define vector spaces, and shows how functions can also behave like vectors in computer graphics. 👇Measuring Vectors, Norm of a Vector, L2 Norm of Functions

🧵3/n This video continues vector addition, scaling in coordinates, and introduces norms to measure vector lengths for functions and images in graphics. 👇Inner Product, L2 Inner Product of Functions

🧵4/n This video introduces the inner product (dot product), explaining how it measures the alignment of vectors, and shows how it applies to images and functions in graphics. 👇Linear Maps, Geometric Def, Algebraic Def, Linear Maps in Coordinates, Linear vs. Affine Maps, Span

🧵5/n Introduces linear maps, explaining their importance in computer graphics for transformations like rotation and scaling. It also covers how linear maps preserve vector operations and distinguishes them from affine functions 👇Bases, Orthonormal Basis, Gram-Schmidt, Fourier

🧵6/n basis and orthonormal basis for vector spaces, how vectors span a space. Gram-Schmidt process and the Fourier transform for creating orthonormal bases in both geometric and function spaces. 👇Systems of Linear Equations, Existence & Uniqueness, Matrices & Linear Maps

🧵7/n This video covers solving systems of linear equations, visualizing them geometrically, and highlights the importance of understanding when solutions exist or are unique. It also discusses the role of matrices in encoding linear maps for efficient computation. 👇resources

🧵8/n Full Course on computer Graphics : Fall 2024 CMU 👇The C and Assembly Developers Community.

🧵9/n Join the C and Assembly Developers' Community on X!

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It's fucked up, you're a male apparently, and got this girly profile, anime bullshit and explaining math. You've been feminized.