Figure: Spatial interpolation creates continuous surfaces from scattered data 1. What is Spatial Interpolation? Spatial interpolation is the process of estimating unknown values at unsampled locations based on known values at sampled locations. It transforms sparse, scattered measurements into a continuous surface. Example: You have temperature readings from 10 weather stations. Spatial interpolation lets you […]
Spatial Interpolation in python Read More »
Figure: Kernel Interpolation creates smooth curves through data points Keywords: Kernel Interpolation, Gaussian RBF Kernel, RKHS, Kernel Ridge Regression, Python, Machine Learning, Spatial Interpolation Table of Contents 1. What is Kernel Interpolation? 2. Understanding the Gaussian (RBF) Kernel 3. The Kernel Matrix Explained 4. What is RKHS? (Reproducing Kernel Hilbert Space) 5. Kernel Ridge Regression
From Points to Hyperplanes – How Equations Shape Our Mathematical Universe Introduction: The Hidden Geometry in Every Equation Have you ever wondered why a simple equation like x + y = 5 represents a line? Or why adding more equations changes the shape of the solution from a plane to a line to a single
Understanding Linear Equations Through Geometry: A Visual Guide Read More »
Have you ever looked at Google Maps and noticed that Greenland appears absolutely enormous—almost as large as the entire continent of Africa? Yet if you check the actual numbers, something doesn’t add up. Greenland covers approximately 2.17 million km², while Africa spans a staggering 30.37 million km². That means Africa is roughly 14 times larger
Why Greenland Looks Huge on Web Maps: The Web Mercator Projection Explained Read More »
Understanding Web Mercator, tiles, pixels, and map math by implementing your own OSM renderer in pure JavaScript. Introduction Most developers use libraries like Leaflet, OpenLayers, or Mapbox GL to render maps. These libraries hide a huge amount of mathematics and geodesy behind a simple API. But what actually happens when you: In this article, we
Building an OpenStreetMap Renderer from Scratch Read More »
In many grid-based problems, you need to choose exactly one column in each row to form a path.But not all columns are equal — some cells are better (think “free road”), others are worse (think “toll road”), and some are blocked. In our example: Our goal: Step 1: Understanding “jumps” A jump happens when you
Finding the Best Vertical Path in a Grid (with Jumps and Weights) Read More »
In Part 1, we explored how to integrate MapLibre GL with Vue.js to render a 3D globe and prepare the foundation for WebGL-based custom layers using Three.js. In this follow-up post, we’ll take things further by animating a 3D helicopter model along a predefined route — combining geospatial precision with 3D animation inside a modern
Integrating MapLibre GL with VueJS: Animating a Helicopter Along a Line – Part 2 Read More »
Vue.js is one of the most popular JavaScript frameworks for building user interfaces. It’s known for its simplicity, flexibility, and progressive nature, making it an excellent choice for both small prototypes and large-scale applications. In this tutorial, we’ll combine Vue.js with MapLibre GL, an open-source alternative to Mapbox GL, to create a stunning 3D globe
Integrating MapLibre GL with VueJS: Creating a 3D Globe in Vue App – Part 1 Read More »
In real-world scenarios like drone delivery, robotics navigation, or sensor error modeling, we often deal with uncertainty. Even if a system is designed to land at a target point, small errors due to wind, GPS inaccuracies, or mechanical drift can cause deviations. To quantify these uncertainties and make predictions, we use probability distributions. Specifically, a
Developing probability distribution function of a given geometry Read More »
Introduction HDF5 (.h5) files are widely used in scientific computing, particularly for storing large-scale datasets from remote sensing missions, climate models, and other geospatial applications. These files are self-describing, meaning they store both the data and metadata (e.g., spatial extent, resolution, units, etc.) in a hierarchical structure. However, working with HDF5 files can be challenging
Building Georeferenced Datasets from HDF5 Files with h5py, xarray, and Rasterio Read More »
