Ever wondered why Greenland looks the size of Africa on Google Maps when it’s actually 14 times smaller? Or why your fiber-optic cable mapping starts going wrong as it crosses into a new region? The answer lies in map projections — the mathematical magic (and unavoidable trade-offs) behind every digital map you’ve ever used. In […]
EPSG 4326 vs 3857 vs UTM: A Visual Guide to GIS Projections Read More »
Rendering thousands of markers on a web map is one of the most common performance bottlenecks in GIS web development. If you’ve ever tried to plot 50,000 or 100,000 points on an OpenLayers map without clustering, you already know the result: a frozen browser tab, sluggish panning, and frustrated users. In this tutorial, you’ll learn
OpenLayers Clustering Tutorial: 100000 Points Without Browser Freeze (HTML + JavaScript) Read More »
In this tutorial, we’ll build MapiLayers — a Vue 3 application that combines OpenLayers maps with Mapillary’s street-level imagery. Users can click on coverage points on the map and instantly view street imagery in a floating panel, complete with a live camera FOV arc that rotates as the user looks around. We’ll use Vue 3 Composition API, Pinia for state
Integrating Mapillary Street-Level Imagery with OpenLayers in Vue 3 Read More »
Graham Scan is a fast and elegant algorithm for finding the convex hull of a set of points. In this tutorial, we explain the method in simple terms, show how left and right turns work, give pseudocode, and provide a Python implementation. 1. Main idea Imagine many points placed on a sheet. You want to
Graham Scan Convex Hull Tutorial | Easy Explanation with Python Read More »
Jarvis March, also called the Gift Wrapping algorithm, is a simple way to find the convex hull of a set of points. In this tutorial, we explain the idea in layman terms, show how the orientation test works, provide pseudocode, and build a small animation and Python implementation. 1. Main idea in simple words Imagine
Convex Hull Using Jarvis March | Gift Wrapping Tutorial with Python Read More »
1. Idea in simple words Imagine many nails hammered into a board.Now stretch a rubber band around all of them. The shape made by the rubber band is called the convex hull. The slow brute force method tries to find which point pairs form the outer boundary. Main thought Take every pair of points and
Convex Hull Using Brute Force Method | Easy Explanation, Pseudocode & Python Read More »
1. The Problem — Plain English Imagine dropping several cardboard boxes on the floor. Some overlap, some do not. How much floor is actually covered? That’s the Rectangle Union problem. Given N rectangles (some overlapping), find the total area of their union — counting overlapping regions only once. The naive answer — just add up
Rectangle Union using Line Sweep Algorithm Read More »
Computational Geometry · Sweep Line · Intersection Detection 1. What Is the Line Sweep Algorithm? Imagine you are standing at the far left of a city map, holding a giant transparent ruler perfectly upright — from top to bottom. Now slowly walk to the right, dragging that ruler across the entire map. As you walk,
Line Sweep Algorithm Read More »
1. Introduction: What Is Physics-Informed AI? Imagine you are trying to locate your phone inside a large shopping mall using radio signals. In an open field, this would be straightforward: the signal travels in a straight line, and by measuring how long it takes to arrive, you can compute the distance. But inside a building,
Physics-Informed AI for RF Tracking in Multipath Environments Read More »
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 »
