Interpolation and Velocity - Math for Game Devs Part 4
Explore interpolation, velocity, and rotations in game development math. Learn about lerp, bezier curves, and solve practical assignments on polygons, FOV, coils, and inventory systems.
Procedural Geometry - An Improvised Live Course
Explore procedural geometry through spline-based techniques, from basic mesh structures to advanced Bézier curves and extrusions, in this comprehensive live-coded tutorial.
The Continuity of Splines
Comprehensive exploration of spline mathematics, covering Bézier curves, continuity types, geometric continuity, and various spline forms. Includes practical applications and in-depth analysis of spline properties.
Math for Game Devs - Abstract Algebra, Procedural Animation & Splines
Explore advanced math concepts for game development, including abstract algebra, procedural animation, and splines. Learn about complex numbers, quaternions, and geometric algebra for enhanced game design and animation techniques.
The Beauty of Bézier Curves
Explore the mathematics and applications of Bézier curves, from basic concepts to advanced topics like derivatives, curvature, and arc length parameterization, with visual demonstrations.
Graphing Exponential Functions with Transformations - Precalculus College Algebra
Learn to graph exponential functions using transformations, focusing on identifying key points and asymptotes in shifted locations on coordinate systems for enhanced mathematical understanding.
Graphing Systems of Linear Inequalities
Learn to graph and interpret systems of linear inequalities, including shading techniques and solution interpretation using the slope-intercept method.
Rays and Spheres- The Math! - Ray Tracing Series
Explore the mathematics behind ray tracing, focusing on rays, spheres, and their intersections. Learn key concepts and equations essential for implementing realistic 3D graphics rendering.
Welcome to Ray Tracing
Introduction to ray tracing techniques for generating photo-realistic digital imagery, covering setup, rendering, performance optimization, and GPU acceleration using C++ and Vulkan.
Infinitesimal Calculus with Finite Fields - Famous Math Problems
Explore infinitesimal calculus in finite fields through the semi-cubical parabola over F_7, challenging traditional real number analysis and emphasizing polynumbers and de Casteljau Bezier curves.
Generalized Dilations and Eigenvalues - Wild Linear Algebra A - NJ Wildberger
Explore coordinate systems, basis changes, and similar matrices in linear algebra. Learn about generalized dilations and the fundamental concept of eigenvalues and eigenvectors.
Cubic Splines - De Casteljau Bezier Curves Using Linear Algebra
Explore de Casteljau Bezier curves and cubic splines using linear algebra, focusing on their elegant formulas and applications in design work from automobiles to modern graphics.
Motivating Eigenvalues and Eigenvectors with Differential Equations
Explore eigenvalues and eigenvectors through differential equations, deriving key concepts and visualizing their applications in matrix systems for a deeper understanding of linear algebra.
Linear Algebra 2: Gauss-Jordan Elimination
Learn Gauss Jordan Elimination for solving systems of equations efficiently. Master this powerful technique to simplify complex linear algebra problems and enhance your problem-solving skills.
Linear Algebra Fundamentals - Vectors, Matrices, and Operations
Comprehensive introduction to linear algebra covering vectors, matrices, and their operations. Explores applications in various fields and problem-solving techniques for systems of equations.
Computing Minimal Persistent Cycles - Polynomial and Hard Cases
Explores computing minimal persistent cycles in algebraic topology, discussing polynomial and NP-hard cases, and presenting algorithms for weak pseudomanifolds with applications to scientific data analysis.
Changing Coordinate Systems to Help Find a Transformation Matrix - Linear Algebra - Khan Academy
Learn to change coordinate systems to find transformation matrices in standard coordinates, enhancing your understanding of linear algebra concepts and their practical applications.
The Discrete Charm of Geometry by Alexander Bobenko
Explore the fascinating world of discrete geometry and its applications in architecture, computer graphics, and physics. Discover structure-preserving discretizations through simple examples and stunning visuals.
Vanessa Robins - The Extended Persistent Homology Transform for Manifolds with Boundary
Explore extended persistent homology transform for shape analysis, offering finite distances between shapes with different Betti numbers and applications in shape clustering.
Computing Optimal Homotopies
Explore optimal curve similarity measures using homotopy-based approaches, examining structural properties, algorithms, and open questions in topology and computational geometry.
Ulrich Bauer - Gromov Hyperbolicity, Geodesic Defect, and Apparent Pairs in Rips Filtrations
Explore Gromov hyperbolicity, geodesic defect, and apparent pairs in Rips filtrations, extending Rips' results on contractibility and examining computational implications for persistent homology.