Seismica’s Post

I'm excited to share the results of my work published in Seismica! 🗣️📄 The idea for this paper was partly inspired by the concept of "key frames" in animation and computer-generated graphics, which I used to come up with a new perspective on how we can represent large earthquake ruptures. The result is a new way to parameterize earthquake ruptures—halfway between finite-fault models and multiple point sources, using a tensor interpolation method to build a quasi-continuous rupture from just a few "key moment tensors." Please check it out here (geometry enthusiasts, this one’s for you): https://lnkd.in/eVAGbM-e

Science

My abstract artwork Frozen Harmonics - based on spherical harmonic functions - is now available on INPRNT (who seem to have another sale right now)! https://lnkd.in/dv2859dM You encounter spherical harmonics when calculating the quantum mechanical wave function for the hydrogen atom. These functions are the building blocks of the lobe-shaped orbitals known from chemistry. Just as any periodic function – as spiky as it may be – can be built up from sine and cosine waves of different frequencies, any function on a sphere can be built from a basis of spherical harmonic functions. Here, I’ve tried to use just one these basic functions. Each set of longitude and latitude is assigned a value – like the distance from the origin at that combination of angles. I visualize surfaces via delicate contour lines: I draw lines on all these lobes, keeping either the longitude or the latitude constant. This is a mesh of lines in three-dimensional space, a virtual sculpture. I am creating JavaScript code based on the framework three.js to bring this to life (No AI). I am scaling the whole sculpture and I am nesting several of them, coloring the contour lines on each of the meshes differently. Then I rotate it and pan my virtual camera to find an interesting viewpoint. #mathematics #physics #art #artprint

If shadows are created by light, how can light cast a shadow?: Can light itself, perhaps from a laser, cast a shadow? It might seem like a trick question, but under certain conditions, the answer to this paradoxical question is "yes." #LaserLightShadow #PhysicsMysteries #ScienceExplained #LightAndShadows #LaserPhenomena #OpticsResearch #ScientificCuriosity #PhysicsDiscovery #LightBehavior #EarthDotCom #EarthSnap #Earth

Watch carefully. Zoom, pause, drag. ONLY LINES. Do you know the name of algorithm turning images into KNITTING patterns? And how medicine and seismology are related? Read on: RADON TRANSFORM (RT) - is the name of the algorithm. See comments for quite amazing STRING ART KNITTING of portraits - actual application in art . 🔴 CODE & INFO: https://wolfr.am/1nsv6vw7B RT converts a 2D image into a series of 1D projections from different angles, which can then be used to reconstruct the original image. It's like looking at a object's shadow from various directions to understand its shape. Amusingly, the RT was discovered by Johann Radon in 1917 as pure math long before its many modern applications. In seismic imaging, this process is similar to CAT scans: CAT scans use X-ray projections taken from multiple angles around the body to create a detailed 3D image of internal structures, while seismic imaging uses seismic wave data from around the Earth to create a 3D image of its subsurface. RT is widely used in various fields like astronomy, art restoration, and even forensic science. Big thanks to Henrik Schachner for the Wolfram code and article. #ImageProcessing #algorithm #animation #DIY #science #tech #technology #education #computation #programing #code #mathematics #math #model #perception #art #Wolfram #Mathematic #efficient #design #discovery #knowledge #language #invention #pattern #system #geometry

https://lnkd.in/g3NchZBA using Euclids 5th postulate to maintain the trajectory of a light ray across a flat surface.

This week, I was working on a rather interesting project—simulating the movement of celestial bodies in space! I started off with Three.js for 3D rendering and initially tried using Cannon.js for the physics simulation, but I wasn’t getting the desired results. So, I opted to implement the physics logic myself, utilizing the elegant simplicity of Newton's formula: F = G * (m1 * m2) / r² The result was a much more accurate simulation of how celestial bodies interact under gravitational forces. One of the highlights was visualizing the beautiful and chaotic trajectories, and I added trails to follow each object as they moved and some other features such as managing objects and simulation controls. This was a fun project, both in terms of physics and web-based visualizations. You can check out the code on GitHub or try the simulation for yourself here! Try Simulation (note: it is not mobile responsive yet 😅 ): https://lnkd.in/dDxc4rDR GitHub: https://lnkd.in/d-g3qHBX #Simulation #ThreeJS #PhysicsSimulation #ReactJs #WebDevelopment #InteractiveVisualization

This closed space-filling curve, which belongs to the root-5 square grid family, is created with axiom “A++A”. This means that a curve (A) with loose ends is generated, the drawing direction is rotated 2 x 90 = 180 degrees and then another same curve is generated. The beauty of mathematics ensures that there are no gaps or overlaps between the curves. #mcescher #escherart #escher #mathart #digitalart #space #curve #path #fractal #Tissellator

VastGaussian: Vast 3D Gaussians for Large Scene Reconstruction 📣 📣 📣 Existing NeRF-based methods struggle with visual quality and rendering speed in large scene reconstruction, while 3D Gaussian Splatting faces challenges in scaling up due to memory, optimization time, and appearance variations. To address these issues, VastGaussian is introduced, using a progressive partitioning strategy to divide large scenes into cells for parallel optimization, and incorporating decoupled appearance modeling to reduce variations. This method outperforms existing NeRF-based techniques, achieving high-quality reconstruction and real-time rendering for large scenes. project: https://lnkd.in/duHkQrnR code: https://lnkd.in/d4dTk_3X paper: https://lnkd.in/dEwnahm7 #NeRF #3DReconstruction #LargeSceneRendering #GaussianSplatting #VastGaussian #RealTimeRendering #HighFidelityRendering #VisualQuality #Optimization #ComputerGraphics #MachineLearning #DeepLearning #3DModeling #StateOfTheArt #ProgressivePartitioning #AppearanceModeling

My new "Sleek Space" asset pack is now available for download via Gumroad. Key Features: High-Resolution Graphics: Each asset in this collection boasts a high-resolution format, ensuring that your projects will maintain their stellar quality, whether on a small mobile screen or a large desktop display. Vivid Color Schemes: The "Sleek Space" pack features a spectrum of deep space hues, from the rich purples of distant nebulae to the warm oranges of close-knit star clusters, all set against the tranquil backdrop of the cosmos. Dynamic Textures: Experience the depth and fluidity of space with textures that capture the smooth flow of cosmic dust and the delicate gradation of interstellar light. Versatile Use: Designed with flexibility in mind, these backgrounds can be used in a variety of projects, including website design, digital art, print media, and interactive displays. Seamless Integration: Each asset is crafted to be easily integrated into your existing design framework, allowing for seamless inclusion in your project without the need for extensive adjustments. Varied Compositions: The pack includes a range of compositions, from wide-spanning cosmic scenes to focused celestial events, providing the right backdrop for any context. Inspired by Astronomy: Drawing inspiration from the latest astronomical imagery and artistic interpretations of space, "Sleek Space" is both a visually stunning and scientifically inspired set. https://lnkd.in/et5XDgxF