💡 Problem Formulation: Calculating the logarithm of the gamma function, often denoted as log(Γ(x)), is a common task in statistics and various fields of science. The gamma function is a generalization of factorial, valid for complex numbers. Meant for readers who have a number x, the goal is to compute the natural logarithm of its … Read more

💡 Problem Formulation: Detecting geometric shapes within images is a common task in computer vision. For instance, identifying triangles in an image involves finding regions bounded by three edges that converge at three vertices. The input is a digital image, and the desired output is the identification and possibly the annotation of the triangle’s vertices … Read more

💡 Problem Formulation: Drawing filled ellipses is a common requirement in image processing tasks with OpenCV in Python. It finds applications in graphics design, data visualization, and UI development. You start with a blank image or a loaded image and you want to add a filled ellipse to it, specifying the size, location, rotation, and … Read more

💡 Problem Formulation: Detecting rectangles and squares in images is a common task in computer vision applications such as document scanning, object detection, and augmented reality. The input is an image file that may contain various shapes, and the desired output is the identification and marking of all the rectangles, distinguishing squares if necessary, within … Read more

💡 Problem Formulation: In digital image analysis, Hu Moments provide a set of seven numbers calculated from an image that are invariant to image transformations. The challenge is to efficiently compute these moments from an image to facilitate tasks like object detection, shape recognition, and image classification. For instance, given an image of a shape, … Read more

💡 Problem Formulation: In image processing and computer vision tasks, it’s often necessary to identify the convex hull of contours in an image — the smallest convex shape that fully encloses the contour. This article will guide you through five distinct methods using OpenCV in Python to locate and illustrate convex hulls, from finding contours … Read more

💡 Problem Formulation: In image processing, finding the minimum enclosing circle for an object is a common task that involves identifying the smallest circle that can completely enclose the target object. This problem is relevant in scenarios such as object tracking, shape analysis, and computer vision applications. The input is an image with an object, … Read more

💡 Problem Formulation: Watermarking images can be essential for copyright protection or branding purposes. This article will walk through how to add a watermark to an image using Python’s OpenCV library, starting with a base image (e.g., a landscape photo) and rendering a transparent text or logo overlay as the desired output. Method 1: Overlaying … Read more

💡 Problem Formulation: In the realm of computer vision and image processing, there are situations where combining two images becomes necessary. Specifically, the bitwise OR operation allows for the merging of two images, pixel by pixel, such that each bit is set to 1 if either pixel’s corresponding bit is 1. For instance, when overlaying … Read more

💡 Problem Formulation: Many computer vision tasks involve identifying and tracking objects within images. Sometimes, these objects are best represented geometrically—a common case being elliptical shapes for objects such as eyes, wheels, or planets. For example, given an image of a car, we may wish to fit an ellipse around one of the wheels to … Read more

💡 Problem Formulation: Applying a bilateral filter to an image involves reducing unwanted noise while keeping edges sharp. In OpenCV, we aim to efficiently perform this task using Python. An example input would be a noisy image, and the desired output is a clear, denoised image with well-preserved edges. Method 1: Standard Bilateral Filtering This … Read more

💡 Problem Formulation: When working with images, determining the aspect ratio of an object within it can be essential for various tasks such as object recognition, resizing, or altering objects proportionally. The aspect ratio is the ratio of the width to the height of an object. This article focuses on extracting this ratio using OpenCV … Read more