Concise radiance field maths article
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A concise and clearly written ‘vintage’ article (published in 2012) that delves into the mathematical foundations of radiance fields, and I really like how it weaves in the underlying physics.
Resources
This is where I share useful materials. Click any post to view or download the content directly on this site.
Bite-sized physics concepts
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HyperPhysics, established in 1998 by Dr. Carl Rod Nave at Georgia State University, is a comprehensive and widely used online resource for physics and astrophysics, presenting bite-sized concepts across subfields such as thermodynamics, optics, particle physics and astrophysics in a linked format that allows users to explore interconnected ideas. The content, organised in a flashcard-like style with clear illustrations and well-annotated equations, is both practical and accessible for high school and university students, as well as non-physicist scientists and engineers seeking a concise understanding of new physical concepts. I find it particularly effective for recreational incremental learning, much like using Duolingo for languages. While the team also initiated HyperMath, which remains under construction, the update status of both projects and their translation efforts is unclear as of 2017. Although the existing content remains reliable and functional, users should exercise caution, as the website is often flagged as ‘not secure’ by browsers. I advise to contact Georgia State University directly before making any donations through the provided links to avoid potential scams.
Feynman lectures organised into lightweight book chapters
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This website features concise book chapters based on Richard Feynman’s lectures, thoughtfully organised by dedicated scholars from Caltech. Each chapter is lightweight (as compared to specialised physics textbooks) and engaging, making the material both educational and entertaining. I believe it is ideal for non-physicist scientists and engineers who want to explore a wide range of physical knowledge, whether for inspiration in their academic work or simply for enjoyment in daily life.
Textbook on probability and statistics
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Attached, you will find the timeless textbook A Modern Introduction to Probability and Statistics: Understanding Why and How (Dekking, Kraaikamp, Lopuhaä & Meester, 2005), along with its exercise solutions. This resource is valuable for both beginners and those revisiting the fundamentals. The annotations (highlights and notes) were made by Dr. Cristian Spitoni, who used this textbook as the primary material to teach in a course I took during my bachelor’s study.
Visualisation and explanation of the generalised additive models
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This is a very clear visualisation and explanation of the generalised additive models.
Visualisation of marching cubes
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This is a nice video to visualise the working mechanism of the marching cubes algorithm.